YaHi/english_AAAI_Math · Datasets at Hugging Face

dataset_version timestamp[s]	queId stringlengths 32 32	difficulty stringclasses 5 values	qtype stringclasses 1 value	problem stringlengths 6 2.89k	knowledge_point_routes sequence
2023-07-07T00:00:00	7e7c1a59a5694db697ef232a76a2ffdf	0	short_answer	Write~$\dfrac{1}{8}$~as a decimal.	[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Fractions into Decimals" ]
2023-07-07T00:00:00	81eb5a575fa2413fb713f5e997cd9be1	1	short_answer	UK Whitgift School Entrance Exam Groups B and C Question \#$9$) A box of kiddimix contains $20$ chocolates of which $8$ are plain chocolates and $12$ are milk chocolates. If $16$ of the $20$ have soft-centres, what can you say about how many plain chocolates there are with soft-centres?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base" ]
2023-07-07T00:00:00	3e0ec8edcb27464fae3044b467f54920	1	short_answer	In a division expression, the quotient is $$29$$ and the remainder is $$11$$. If the sum of the dividend and the divisor is $$431$$, what is the difference between the two numbers?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple", "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders" ]
2023-07-07T00:00:00	b2d3da9e064d4575a7d21857a9386c15	1	short_answer	$$12.5 \%$$ of Year $$7$$ pupils at Withington play the violin. There are $$11$$ pupils who play the violin in Year $$7$$. How many pupils are there in total in Year $$7$$? ~\uline{~~~~~~~~~~}~	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
2023-07-07T00:00:00	766f7130bda14f6780c8a29b28b45542	1	short_answer	A particular type of chocolate bar costs $$50$$ pence.~~A boy buys $$n$$ chocolate bars that cost a total of $$C$$ pence.~~Write down a formula for $$C$$ in terms of $$n$$.	[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number" ]
2023-07-07T00:00:00	bd8976f4ffcd4d51b276b2ccda2e228d	1	short_answer	A sum of $$90$$ pence is made up of equal numbers of 1p coins, $$2$$p coins, $$5$$p coins and $$10$$p coins. How many coins are there in total?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Chicken-Rabbit Problems with Multiple Variables" ]
2023-07-07T00:00:00	55d9d0163f3a466c8356b0f2120c7887	3	short_answer	There were a total of $$105$$ apples and pears at first. After~$\tfrac{1}{3}$~of the apples and~$\tfrac{2}{5}$~of the pears were sold, there were~$\tfrac{5}{6}$~as many apples as pears left. Find the total number of apples and pears sold.	[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
2023-07-07T00:00:00	418f309d7a1845b1a05816bed5dfb673	1	short_answer	Mr Ya has some stickers to give to his pupils as a reward for their good behaviour. If he gives $$13$$ stickers to each pupil, he will have an excess of $$190$$ stickers. If he gives $$17$$ stickers to each pupil, he will have an excess of $$50$$ stickers. How many stickers does Mr Ya have?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple" ]
2023-07-07T00:00:00	6eeec66a73a24afc801c791a461a7aa6	1	short_answer	In a car park there are $60$ cars. $\dfrac{5}{12}$ of the cars are red and $$20 \%$$ of the cars are blue. How many cares are there that are neither red nor blue?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]
2023-07-07T00:00:00	bb42c63fe2114d219cb0459ccb14f1a4	1	short_answer	$A:B:C = 4:5:6$. $C$ is greater than $A$ by $10$. What is the sum of $A$, $B$, and $C$?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with Invariant Differences" ]
2023-07-07T00:00:00	3c78fac74fe445cdaba8f451af901d4f	1	short_answer	In how many ways can $$12$$ students $$A, B, C, D, E, F, G, H, I, J, K, L$$ line up in a row if students $$A, B$$, $C$ and $D$ are always next to each other?	[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Permutations->Basic Operations of Permutations", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
2023-07-07T00:00:00	9da90a336543472fb221543495f75212	1	short_answer	Six students are playing ping-pong, each game is played by $2$ people, and each student plays every other student excatly once. The winner of each game can get $2$ points, and the loser can get $0$ points. If the game is tied, then each of the two players gets $1$ point. If five students get $7$, $6$, $5$, $4$, and $3$ points, repsectively, then how many points does the remaining student get?	[ "Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition" ]
2023-07-07T00:00:00	2fbf56cda6294a4ba514fb0676d5a24c	1	short_answer	The weights of two bags of candy, $A$ and $B$, have a ratio of $$5:3$$. If $$10$$ grams of candy were taken from bag $A$ and placed in bag $B$, their new ratio becomes $$7:5$$. What is the total weight of both bags?~\uline{~~~~~~~~~~}~	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with Invariant Sums" ]
2023-07-07T00:00:00	f90f17b98c3244ee80cbcf47c9a22ca7	1	short_answer	In a class there are $3$ boys to every $5$ girls. There are $9$ boys in the class. How many girls are there?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value" ]
2023-07-07T00:00:00	0c806097cde44e2b993a1db7282d9731	1	short_answer	James arranges his soccer club players in several lines, and the number of players in each line forms an arithmetic sequence. There are $$378$$ players in this club. If there are $$22$$ players in the first line and $$62$$ players in the last line, find the difference of the number of players between any two adjacent lines.	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression" ]
2023-07-07T00:00:00	d6a1e647460246479951e8955d7126b0	0	short_answer	Find a whole number between $$100$$ and $$200$$ that has all of the following properties. When the number is divided by $$3$$ the remainder is $$2$$. When the number is divided by $$5$$ the remainder is $$2$$. When the number is divided by $$7$$ the remainder is $$2$$. What is the number?	[ "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Chinese Remainder Theorem with Constant Remainder" ]
2023-07-07T00:00:00	1c808145d3a040e4899219721beca8a3	1	short_answer	With how many zeros does the result of $$48\times 925\times 38\times 435$$ end with?	[ "Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Power of Products" ]
2023-07-07T00:00:00	65b97cc4685a4c2285fda77b5e2dd58d	1	short_answer	Underline the largest mass. $30\text{g}$~ ~ $1\text{kg}$~ ~ ~ $300 \text{g}$~ ~ $2.5 \text{kg}$~ ~ $3000\text{g}$~ ~ ~$150 \text{g}$~ ~ $3\text{g}$	[ "Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->Comparing and Ordering Quantities" ]
2023-07-07T00:00:00	859d0b8b48294702afaa6ae358e1b4b8	3	short_answer	In the past $$1000$$ days, the villa had a total of $$2$$ theft that occurred. The owner of the villa has a dog and the dog would bark $$3$$ times every week at night. The probability of the dog barking when a thief is around $$0.9$$. According to the given informations, what is the probability of the dog barking during the occurrence of the theft?	[ "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability" ]
2023-07-07T00:00:00	7522b62306804ad5ac94948668c3a1b9	1	short_answer	Tony bought $$25$$ candies from a grocery shop. He bought $$7$$ more apple candies than orange candies. He bought $$3$$ more apple candies than grape candies. He bought $$2$$ more pineapple candies than orange candies. How many apple candies did Tony buy?	[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
2023-07-07T00:00:00	cbc5f810ee4d4266ac73f789efc26675	1	short_answer	In a school $6$ out of every $11$ children are girls. If there are $407$ children in the school; How many boys are there?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base" ]
2023-07-07T00:00:00	cb24212b24014d99811733199a00d63c	1	short_answer	Mr Ya has some stickers to give to his pupils as a reward for their good behaviour. If he gives $$13$$ stickers to each pupil, he will have an excess of $$190$$ stickers. If he gives $$17$$ stickers to each pupil, he will have an excess of $$50$$ stickers. How many stickers does Mr Ya have?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple" ]
2023-07-07T00:00:00	514c9d0ed96a47ed9c826d6081877afc	1	short_answer	What is the smallest possible difference between two different nine-digit numbers, each of which includes all of the digits $$1$$ to $$9$$? For example the two numbers could be: $$123456789$$ and $$987654321$$	[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->Complex Forming Numbers (with special requirements)" ]
2023-07-07T00:00:00	525efcf75fb844b7b5bfc88c0478887d	3	short_answer	In a school hall, there were $$65$$ fewer boys than girls. After~$\tfrac{2}{5}$~of the boys and~$\tfrac{3}{7}$~of the girls left the hall for recess, there were equal number of boys and girls left in the hall. Find the total number of students left in the hall at the end.	[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
2023-07-07T00:00:00	a8823bcc458c444d8e7a13e610f7cd2a	0	short_answer	What is the value of: $$(70\times4)-(80\times3)+(60\times5)$$?	[ "Overseas Competition->Knowledge Point->Calculation Modules" ]
2023-07-07T00:00:00	c5424cddd42c402499631a2dc29f9de6	1	short_answer	Some friends were moving bricks. They moved $$26$$ less than half the number of bricks on the first trip. On the second trip, they moved $$11$$ more than half the remaining number of bricks. They then moved $$68$$ bricks on their third trip. $$25$$ bricks were still unmoved. How many bricks were there at first?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations" ]
2023-07-07T00:00:00	fa96d25c74d0403cb10a17ab2f107e56	2	short_answer	\textbf{Unchanged Total} There are 90 more boys than girls in a school. The ratio of the number of girls who can swim to the number of girls who can not swim is 31 : 49. The number of boys who can swim is 120 less than the number of boys who can not swim. If there are 1690 pupils in the school, how many pupils can not swim?~	[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions" ]
2023-07-07T00:00:00	0d96f11c50ce4d189e891f9019eef601	0	short_answer	Divide $2412$ by $9$.	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers" ]
2023-07-07T00:00:00	d95d576c1e1d4865bb3b4aa77767da99	2	short_answer	A book has $130$ pages numbered from $1$ to $130$. How many digit "$1$" are there in all the page numbers of the book?	[ "Overseas Competition->Knowledge Point->Number Theory Modules" ]
2023-07-07T00:00:00	9238796298a4443b8f23e7932b9616d6	1	short_answer	Three kids stand in a row to take group photos. How many different ways are there to arrange them?	[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems" ]
2023-07-07T00:00:00	e1834f400a7b4dd1aceed1e5f730d59b	1	short_answer	Mike says, "The desks and chairs in our class can line up perfectly in a large square array. No matter when you count from front to back, back to front, left to right, or right to left, my position is always the $$2$$\textsuperscript{nd} in line." Do you know how many students are in Mike\textquotesingle{} s class?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number of People in a Rectangular Array" ]
2023-07-07T00:00:00	e001594de0464ba1b21b4efea0bd0572	1	short_answer	The sum of Geoff\textquotesingle s age and his sister\textquotesingle s age is $$22$$. When will the sum of their ages be $$40$$?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems" ]
2023-07-07T00:00:00	157222dd22d34a94998e5528efa14ab0	1	short_answer	Some passengers are travelling on a bus. At the first stop, two fifths of the passengers got off. At the next stop, one third of the remaining passengers got off, which left $22$ people. How many passengers were on the bus at the start?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
2023-07-07T00:00:00	957c6e2479f14a37aca09d1bc7ff195f	1	short_answer	The Ugly Duckling Book comprises of $20$ pages. \textbf{How many digits are there in The Ugly Duckling Book?}	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem" ]
2023-07-07T00:00:00	97bb7d23bdbf4724b5bab9effbd3ac6e	1	short_answer	$125\times34\times25\times4\times8=$~\uline{~~~~~~~~~~}~	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division" ]
2023-07-07T00:00:00	105a05ed86254429b49e9aa1e948fc3f	2	short_answer	A staircase has $$10$$ steps. If Peter can climb either $$2$$ or $$3$$ steps each time, in how many ways can he reach the tenth step?	[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration" ]
2023-07-07T00:00:00	a447314d1b7e47d595af58ce12a8673e	2	short_answer	Mr Turner\textquotesingle s combination lock has $$4$$ digits. When he changes the digit in the ones place to the first digit of the combination lock, he notices that the new $$4$$-digit number is greater than the original number by $$5877$$. What is the original combination lock number?	[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)" ]
2023-07-07T00:00:00	ef6efdf0f99e45afbcac63320b9c084a	1	short_answer	A division gives a quotient of $$12$$ and a remainder of $$3$$. What is the minimum value of the dividend? Pip\textquotesingle s Answer: The smallest possible divisor is $$1$$, so the minimum value of the dividend is $$1\times12+3=15$$	[ "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders" ]
2023-07-07T00:00:00	b576b58e760e4608bde960e52d27390f	1	short_answer	David, Bentley and Triston have $$410$$ stamps altogether. Triston has $$5$$ times as many stamps as Bentley. Bentley has $$25$$ fewer stamps than David. How many stamps does Bentley have?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple" ]
2023-07-07T00:00:00	1d179bb769e243588baf620c0eddb4c3	1	short_answer	$$1998$$ is Pip\textquotesingle s year of birth. Pip repeatedly write~$\underbrace{199819981998\cdots1998}_{{n digits}}$~until it is a multiple of $$33$$. What is the value of $$n$$?	[ "Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules" ]
2023-07-07T00:00:00	8b5b1973788f4120b9eaa557471090b6	1	short_answer	Find the sum of the numbers in the $$5^{\rm th}$$ group in the pattern below. $$(1,1,2)$$~ ~$$(2,4,12)$$~ ~$$(3,9,36)$$ $$\cdots $$	[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences" ]
2023-07-07T00:00:00	37df628db6754f34a0428e73a9610822	1	short_answer	Work out $882 \div14$	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table" ]
2023-07-07T00:00:00	b9ea86dfaf4448428f87deacbb7a0f5a	1	short_answer	Each time Peter runs around the school, he travels $\dfrac{1}{4}$~mile. How many times would he need to go around the school to run a total of $3.75$ miles?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division" ]
2023-07-07T00:00:00	d888f754042d47c097e6350ffd0bf91f	1	short_answer	Write as a number : three million thirty thousand and thirty Answer~\uline{~~~~~~~~~~}~	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers" ]
2023-07-07T00:00:00	9a6a60ff879c4c6bbc80d88a7bee3dd1	0	short_answer	In a country dance there are $3$ boys and $2$ girls in every line. $42$ boys take part in the dance. How many girls take part?	[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio->Knowing Ratio" ]
2023-07-07T00:00:00	523cf0df494b4333b5fe0276768d0d6f	1	short_answer	A three-digit integer has remainder $3$ when it is divided by $5$, remainder $4$ when divided by $6$ and remainder $1$ when divided by $9$. What is the smallest possible value of the number?	[ "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems" ]
2023-07-07T00:00:00	3a67a40b66334eb68ffe9d005d60fa1f	1	short_answer	Andrew, Kim and Shaun have $256$ stamps. Shaun has twice as many stamps as Kim. Andrew has $24$ less stamps than Shaun. How many stamps does Andrew have?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems" ]
2023-07-07T00:00:00	da2e2930096a4f6e840662dbf18b6d76	1	short_answer	The total number of erasers that Candice, Doris and Elly have is $$50$$. The number of Elly\textquotesingle s erasers is $$6$$ more than Doris. Number of erasers Candice has is five times of Elly. How many erasers does Candice have?	[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]
2023-07-07T00:00:00	33ccad8b36de4799bc2bc55439667b1d	1	short_answer	What is the missing value? $$10:\boxed{\textasciitilde?\textasciitilde}=14:21$$	[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions" ]
2023-07-07T00:00:00	900857df81614ea5855ed60ccd1e3252	1	short_answer	London Library has $78$ books about fish. London Library has $12$ fewer books about birds than about fish. What is the total number of books that London Library has about birds and fish?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]
2023-07-07T00:00:00	a4ee7f4c3e13434da3c2253ab814136c	1	short_answer	Write a two-digit number which fits all three of these statements: It is a multiple of $6$. It is a multiple of $9$. It ends in "$0$". ~\uline{~~~~~~~~~~}~	[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples" ]
2023-07-07T00:00:00	5adbbaf57fc64b529ecdb661df6d9c9e	1	short_answer	Johnny is working on his math homework. Question: What is $$7$$ tens more than $$5832$$? Johnny\textquotesingle s Answer: $5839$. Is Johnny\textquotesingle s answer correct? If not, what is the correct answer? Show your working!	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction " ]
2023-07-07T00:00:00	17091d7aa5fd4380bc6e97f0a25be60b	1	short_answer	In one equation, how many different positive integers at most can add up to $$27$$?	[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
2023-07-07T00:00:00	08031ac64ba7489a8cb62dc6a25d5652	1	short_answer	A length of rope is $3 \text{m}$~long. It is cut into four unequal lengths. Three of the pieces are $147 \text{cm}$,~$32.5 \text{cm}$~and $67 \text{cm}$. How long is the fourth piece?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]
2023-07-07T00:00:00	3cf63d0be0824f3c84d43730e223636f	2	short_answer	In a test, the probability that $$A$$, $$B$$, and $$C$$ pass the test (without affecting each other) is $$0.5$$, $$0.4$$, and $$0.2$$. How many people are most likely to pass at the end of the test?	[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
2023-07-07T00:00:00	e2d31838755547eba6842f1253e3ffd1	0	short_answer	Work out $$308-197$$. ~\uline{~~~~~~~~~~}~	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form" ]
2023-07-07T00:00:00	741594190e264f008d30c48a942dc6ee	1	short_answer	Alice makes a booklet with $$18$$ pieces of paper. If a leaf is inserted after every $$3$$ pieces of paper, how many leaves does she need?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems" ]
2023-07-07T00:00:00	b4e006ff98474bd0850725353e1e101a	1	short_answer	Evaluate $$\left(101+234+567\right)\times \left(234+567+89\right)-\left(101+234+567+89\right)\times \left(234+567\right)$$.	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers" ]
2023-07-07T00:00:00	b422fcfa507f4716856239caa8b70d72	1	short_answer	Calculate: $$1 + \frac{1}{2}+ \frac{1}{2}+ \frac{1}{3}+ \frac{2}{3}+ \frac{2}{3}+ \frac{1}{3}+ \cdots + \frac{1}{10}+\frac{2}{10}+ \cdots + \frac{9}{10}+ \frac{9}{10}+ \cdots + \frac{2}{10} + \frac{1}{10}=$$~\uline{~~~~~~~~~~}~	[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
2023-07-07T00:00:00	0049786ba1f8489782eb5b1cdec203a2	1	short_answer	The ratio of the number of watches to the number of caps at a stall was $$8:11$$. When $$88$$ caps were sold, the ratio of the number of watches to the number of caps became $$12:11$$. What was the number of watches at the stall?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
2023-07-07T00:00:00	b404e6302dad4073a624607030879a2e	1	short_answer	Sam, the mailman of Think Road, always maintains the same speed when distributing newspapers door-to-door to residents. The distance between each two adjacent houses is equal, and he spends $$30$$ minutes riding from the first house to the sixth house. The width of the house is negligible. How many minutes will he need to deliver the newspapers for all ten houses? (Ignore the time spent when Sam stops cycling and puts the newspaper in the mailbox.)	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides" ]
2023-07-07T00:00:00	13a6697cd8dc4ffab7300721bb11888a	1	short_answer	$31\times56=$~\uline{~~~~~~~~~~}~	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division" ]
2023-07-07T00:00:00	7ebc9c1439ea4a04bb6f8b9daa36c101	1	short_answer	\textbf{$$ABCD$$~}is a four digit number: Its first digit is $$\dfrac{1}{4}$$ of its last digit The second digit is $$1$$ less than its first digit When you multiply $$ABCD$$ by $$4$$, its digits appear in reverse order None of the digits are the same What is the number?	[ "Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits" ]
2023-07-07T00:00:00	26535c3c7cf044319e17743d60510a51	1	short_answer	A piece of ribbon of length $1.05\textasciitilde m$ is divided into two pieces, where one piece is twice as long as the other. Determine the length of the longer piece of ribbon in $cm$.~\uline{~~~~~~~~~~}~$\textasciitilde cm$	[ "Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle" ]
2023-07-07T00:00:00	0643ad338aa0456895d017aec0d4285d	2	short_answer	In October Sally drove $560$ miles in her car. The car travelled $34.5$ miles for each gallon of petrol used. Petrol cost £$1.08$ per litre. $1$ gallon $=4.55$ litres. Work out the cost of the petrol the car used in October.	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)" ]
2023-07-07T00:00:00	69e6ce5788b847b9b25303af2fe5a1fb	1	short_answer	Jack and Ken play a game of picking up coins from a pile of $2015$ coins. They take turn to pick up coins with Jack starting first. The rules of the game require each person to pick up only $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $10$ or $11$ coins at each turn and the person to pick up the last coin is the loser. How many coins should Jack pick up at his first turn to ensure that he will be the winner?	[ "Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Game Strategy", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]
2023-07-07T00:00:00	be2bd70c882644a99d167bdd71a65b7e	1	short_answer	The graph of linear equation $y=mx+b$ passes through the origin and point $(4,8)$. The linear equation should be wrriten as~\uline{~~~~~~~~~~}~.	[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable" ]
2023-07-07T00:00:00	c59f693d386d4a73a2d62b1ebcb6185c	1	short_answer	（UK Latymer $11+$ Math Ematics Sample Paper$1$ Question $$23$$） Write down the number twelve hundred million, thirty-one thousand and ninety three in figures.	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers" ]
2023-07-07T00:00:00	90111a213be04afd824d36b70a321040	2	short_answer	Pip arranged some black and white balls according to the following rule： ●○●○○●○●○○●○●○○\ldots{} When he finished all the balls, he found that there were $92$ white balls. How many balls Pip arranged in total?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems" ]
2023-07-07T00:00:00	ad17dc3f8a494864b760b100079443f6	1	short_answer	A twenty-four hour digital watch shows only hours and minutes. How many times each day does the watch show at least two fours simultaneously?	[ "Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Reading the Clock" ]
2023-07-07T00:00:00	91e7591f3e904be694c0587963279359	1	short_answer	Consider the following pattern: 0→1 1→0 6→1 8→2 368→3 1008\textgreater4 What is 2015→?	[ "Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns" ]
2023-07-07T00:00:00	cb33eae512244d56b52f675bb43136e8	2	short_answer	The Seven Dwarfs were born on the same day, in seven consecutive years. The ages of the youngest three add up to $42$ years. What is the age of the oldest one?	[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Applying the Theorem of Middle Term" ]
2023-07-07T00:00:00	0894ed5b3d6f4b4fb5f060190e4e433a	1	short_answer	$$78+263-174$$	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers->Questions Involving Addition and Subtraction" ]
2023-07-07T00:00:00	0e998f78d8e24e0db196fc058218632c	0	short_answer	Find the Highest Common Factor of the following pair of numbers $$16$$ and $$28$$.	[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Two Numbers" ]
2023-07-07T00:00:00	1d5d5c2cc7ed4484b0ee32dc49820fea	1	short_answer	Siti had some pears. When she packed them into bags of $$6$$, she had $$2$$ pears left. When she packed them into bags of $$7$$, she was short of $$3$$ pears. What was the smallest possible number of pears that Siti had?	[ "Overseas Competition->Knowledge Point->Counting Modules" ]
2023-07-07T00:00:00	ab6dabced7d2420b96da9161a985e3da	1	short_answer	Some passengers are travelling on a bus. At the first stop, two fifths of the passengers got off. At the next stop, one third of the remaining passengers got off, which left $22$ people. How many passengers were on the bus at the start?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
2023-07-07T00:00:00	6fbfa557708a48f88080cdee949845ca	1	short_answer	A pencil is $10 \text{cm}$~long. After it is sharpened, it is $4 \text{mm}$~shorter. What is its length now in $\text{cm}$?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]
2023-07-07T00:00:00	1a6a4bcf3e384d149434758e9e9ee954	3	short_answer	Sam and Peter had some stickers in the ratio 7 : 5. Sam and Peter each gave 20\% of their stivkers to John. As a result, John's stickers increased by 80\%. If Sam had 20 stickers more than John in the end, how many stickers did Peter have at first?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]
2023-07-07T00:00:00	e8a7cdbe9f064caa8845fdc48753ccf2	1	short_answer	At Think Olympics, Francis completes an $$1200-$$meter race. He runs the first $$420$$ meters at a speed of $$7$$ meters per second, the middle $$620$$ meters at a speed of $$5$$ meters per second, and in the sprint stage, Francis runs at a speed of $$8$$ meters per second. Find the time Francis spends on the entire race (in seconds).	[ "Overseas Competition->Knowledge Point->Word Problem Modules", "Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road" ]
2023-07-07T00:00:00	60f2bc1eec7c407c8a6d23e10fdfedbd	2	short_answer	The full score of each common test is $$100$$ marks. Paul has taken $$4$$ common tests and his average score of these $$4$$ tests is $$89$$ marks. If he wants his average score to reach $$95$$ marks or above, at least how many more tests should he take?	[ "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability", "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)" ]
2023-07-07T00:00:00	7463bf137d564fbabe4d8eb8c8c7ee34	3	short_answer	David had a total of $$72$$ notes. The notes were either $$$2$$ notes or $$$10$$ notes. After he spent $$90$$\% of the $$$10$$ notes and $$75$$\% of the $$$2$$ notes on a gift, he was left with twice as many $$$10$$ notes as $$$2$$ notes. How much did the gift cost?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems" ]
2023-07-07T00:00:00	8c1bb4f017184cbfae594c5cfaf4d059	2	short_answer	If Hoses $$\text{A}$$ and $$\text{B}$$ are turned on at the same time, they will take $$9$$ hours to fill a swimming pool. It takes Hoses $$\text{A}$$ and $$\text{C}$$ $$12$$ hours to fill the same pool. Hoses $$\text{B}$$ and $$\text{C}$$ will take $$18$$ hours to do the same job. How many hours will it take to fill the pool if all the three hoses are turned on at the same time?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Pool Filling and Draining Word Problems" ]
2023-07-07T00:00:00	53f089451f8842afb473055ab5d608e1	1	short_answer	A construction company finished paving a road in $$4$$ days. It paved 75 meters each day. How long is the road?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Simple Work Word Problems" ]
2023-07-07T00:00:00	289652248f414fe9bbafc2f88b401174	2	short_answer	A drawer contains $12$ red markers, $12$ yellow markers, $12$ blue markers, and nothing else. Without looking, what is the fewest number of markers that must be taken out of the drawer to be sure that at least $2$ of them are the same color? (Noetic Learning Mathematics Contest - Fall 2020 - Grade 4 - Problem 10)	[ "Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems" ]
2023-07-07T00:00:00	b6319f96909f43389019a555f34399dc	1	short_answer	Wei Li has $$58$$ ＄$$2$$ notes and ＄$$5$$ notes altogether. The total value of all the money is ＄$$164$$. How many ＄$$5$$ notes does Wei Li have?	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division" ]
2023-07-07T00:00:00	d1e1ebce0b4843ca9292e8dbdda01d4d	1	short_answer	Part of a number sequence is shown. $\dots,105,120,135,\dots$ If these are the $7$th, $8$th and $9$th values in the sequence, what is the $100$th?	[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables" ]
2023-07-07T00:00:00	3ec3a596e66c4dfcb4ea91b63a5bf969	2	short_answer	Cellina spent $$ \frac{5}{9} $$ of her money on $$36$$ cupcakes and $$32$$ mufins. The price of one cupcake was thrice as much as the price of one muffin. She then used $$ \frac{1}{6} $$ of her money to buy more cupcakes. She spent a total of $$ $187.50$$ on all the cupcakes. How much did she spend on the muffins?	[ "Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle" ]
2023-07-07T00:00:00	fc35d0defe2942ffad92505706ccc8ee	1	short_answer	Celeste has $$10$$ boxes, each contains at least $$2$$ marbles. The number of marbles in any of the box is a multiple of $$2$$. Each box contains a different number of marbles except for two of them. What is the smallest number of marbles Celeste can have?	[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples" ]
2023-07-07T00:00:00	cc22edf7a7fd4aa79216b432dcbeac61	0	short_answer	Solve the equation:~$3a+8=14$.	[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient" ]
2023-07-07T00:00:00	e2673569a0b943b292503bf53ce7b3a2	1	short_answer	$894 \div 3$	[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table" ]
2023-07-07T00:00:00	a7840b9a2b4b4d80bcfb1955e50dedb1	1	short_answer	Please calculate the following questions. $$1+2+3+4+5+6+7+8+9+8+7+6+5+4$$．	[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables" ]
2023-07-07T00:00:00	eab847de393a4cc89be122fdacf06c1b	1	short_answer	A pigeon breeder puts $$75$$ pigeons into $$20$$ cages. How many pigeons at least are there in the cage with the most pigeons?	[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Simple Pigeonhole Principle Problems" ]
2023-07-07T00:00:00	4f9c4a2d52664632815cca87ff3639cd	3	short_answer	There are $1007$ parterres in a straight line. A sprinkler must be installed in the middle of each two parterres. What is the minimum number of sprinklers needed to be installed at least? (ignoring the size of~parterres)	[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
2023-07-07T00:00:00	13b735246ec440b287eb3433e89d8de3	1	short_answer	The mass of a papaya is $2\frac{1}{4}$ kg. The mass of a jackfruit is $3$ times the mass of a papaya. What is the total mass of the papaya and the jackfruit? Below is James\textquotesingle s workings. $2\frac{1}{4} \times 4$ = $2\frac{4}{4}$ = $3$. The total mass is $3$kg. Are his workings correct? If not, circle his error and find the correct answer.	[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]
2023-07-07T00:00:00	df5ddf6fab1640afbbe79fdc2c9c6b0d	0	short_answer	When I looked at my fitness tracker this moring, it showed I had taken $$1991$$ steps today. This is a palindromic number (which means it is the same read forwards as read backwards). How many~\textbf{more~}steps do I need to take before my fitness tracker shows another palindromic number? ~\uline{~~~~~~~~~~}~	[ "Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value in Enumeration Problems" ]
2023-07-07T00:00:00	f621eb20ae1b443e9decb28c81cacff9	1	short_answer	Find the number half way between $387$ and $729$.	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly" ]
2023-07-07T00:00:00	7b38d775bba24657ba681d25822af411	3	short_answer	\textbf{Percentage Double Base} Marry had~$\dfrac{7}{5}$~as many stickers as Alexis.~Marry and Alexis each gave 20\% of their stickers to Charlotte. As a result, Charlotte\textquotesingle s stickers increased by 80\%. If Mary had 20 stickers more than Charlotte in the end, how many stickers did Alexis have at first?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]
2023-07-07T00:00:00	8f05ca5aac6947c0a578b4f78816fdeb	1	short_answer	The highway repair crew is paving a road. The first day it paved $8$ thousand feet. The second day it paved $4$ thousand feet more than $\dfrac{1}{6}$~of the total road. If they paved $\dfrac{5}{12}$~of the total length in the first two days, how long is the road?	[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]
2023-07-07T00:00:00	411dbd979ec64b9198f41e36f93de415	1	short_answer	How many different three-digit numbers can be formed using the numbers $$3$$、$$4$$、$$5$$?（without using the same number two times like $$33$$ ）	[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering" ]
2023-07-07T00:00:00	dbcf24f4b4254940a364df67ea2a66dd	1	short_answer	After giving away $440$ bottle caps from his collection, Justin had $\frac{5}{9}$ of his collection left. How many bottle caps were there in his collection at first?	[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]

2023-07-07T00:00:00

7e7c1a59a5694db697ef232a76a2ffdf

0

short_answer

Write~$\dfrac{1}{8}$~as a decimal.

[ "Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Fractions into Decimals" ]

2023-07-07T00:00:00

81eb5a575fa2413fb713f5e997cd9be1

1

short_answer

UK Whitgift School Entrance Exam Groups B and C Question \#$9$) A box of kiddimix contains $20$ chocolates of which $8$ are plain chocolates and $12$ are milk chocolates. If $16$ of the $20$ have soft-centres, what can you say about how many plain chocolates there are with soft-centres?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base" ]

2023-07-07T00:00:00

3e0ec8edcb27464fae3044b467f54920

1

short_answer

In a division expression, the quotient is $$29$$ and the remainder is $$11$$. If the sum of the dividend and the divisor is $$431$$, what is the difference between the two numbers?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple", "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders" ]

2023-07-07T00:00:00

b2d3da9e064d4575a7d21857a9386c15

1

short_answer

$$12.5 \%$$ of Year $$7$$ pupils at Withington play the violin. There are $$11$$ pupils who play the violin in Year $$7$$. How many pupils are there in total in Year $$7$$? ~\uline{~~~~~~~~~~}~

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]

2023-07-07T00:00:00

766f7130bda14f6780c8a29b28b45542

1

short_answer

A particular type of chocolate bar costs $$50$$ pence.~~A boy buys $$n$$ chocolate bars that cost a total of $$C$$ pence.~~Write down a formula for $$C$$ in terms of $$n$$.

[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number" ]

2023-07-07T00:00:00

bd8976f4ffcd4d51b276b2ccda2e228d

1

short_answer

A sum of $$90$$ pence is made up of equal numbers of 1p coins, $$2$$p coins, $$5$$p coins and $$10$$p coins. How many coins are there in total?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Chicken-Rabbit Problems with Multiple Variables" ]

2023-07-07T00:00:00

55d9d0163f3a466c8356b0f2120c7887

3

short_answer

There were a total of $$105$$ apples and pears at first. After~$\tfrac{1}{3}$~of the apples and~$\tfrac{2}{5}$~of the pears were sold, there were~$\tfrac{5}{6}$~as many apples as pears left. Find the total number of apples and pears sold.

[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]

2023-07-07T00:00:00

418f309d7a1845b1a05816bed5dfb673

1

short_answer

Mr Ya has some stickers to give to his pupils as a reward for their good behaviour. If he gives $$13$$ stickers to each pupil, he will have an excess of $$190$$ stickers. If he gives $$17$$ stickers to each pupil, he will have an excess of $$50$$ stickers. How many stickers does Mr Ya have?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple" ]

2023-07-07T00:00:00

6eeec66a73a24afc801c791a461a7aa6

1

short_answer

In a car park there are $60$ cars. $\dfrac{5}{12}$ of the cars are red and $$20 \%$$ of the cars are blue. How many cares are there that are neither red nor blue?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]

2023-07-07T00:00:00

bb42c63fe2114d219cb0459ccb14f1a4

1

short_answer

$A:B:C = 4:5:6$. $C$ is greater than $A$ by $10$. What is the sum of $A$, $B$, and $C$?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with Invariant Differences" ]

2023-07-07T00:00:00

3c78fac74fe445cdaba8f451af901d4f

1

short_answer

In how many ways can $$12$$ students $$A, B, C, D, E, F, G, H, I, J, K, L$$ line up in a row if students $$A, B$$, $C$ and $D$ are always next to each other?

[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Permutations->Basic Operations of Permutations", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]

2023-07-07T00:00:00

9da90a336543472fb221543495f75212

1

short_answer

Six students are playing ping-pong, each game is played by $2$ people, and each student plays every other student excatly once. The winner of each game can get $2$ points, and the loser can get $0$ points. If the game is tied, then each of the two players gets $1$ point. If five students get $7$, $6$, $5$, $4$, and $3$ points, repsectively, then how many points does the remaining student get?

[ "Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition" ]

2023-07-07T00:00:00

2fbf56cda6294a4ba514fb0676d5a24c

1

short_answer

The weights of two bags of candy, $A$ and $B$, have a ratio of $$5:3$$. If $$10$$ grams of candy were taken from bag $A$ and placed in bag $B$, their new ratio becomes $$7:5$$. What is the total weight of both bags?~\uline{~~~~~~~~~~}~

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with Invariant Sums" ]

2023-07-07T00:00:00

f90f17b98c3244ee80cbcf47c9a22ca7

1

short_answer

In a class there are $3$ boys to every $5$ girls. There are $9$ boys in the class. How many girls are there?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value" ]

2023-07-07T00:00:00

0c806097cde44e2b993a1db7282d9731

1

short_answer

James arranges his soccer club players in several lines, and the number of players in each line forms an arithmetic sequence. There are $$378$$ players in this club. If there are $$22$$ players in the first line and $$62$$ players in the last line, find the difference of the number of players between any two adjacent lines.

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression" ]

2023-07-07T00:00:00

d6a1e647460246479951e8955d7126b0

0

short_answer

Find a whole number between $$100$$ and $$200$$ that has all of the following properties. When the number is divided by $$3$$ the remainder is $$2$$. When the number is divided by $$5$$ the remainder is $$2$$. When the number is divided by $$7$$ the remainder is $$2$$. What is the number?

[ "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Chinese Remainder Theorem with Constant Remainder" ]

2023-07-07T00:00:00

1c808145d3a040e4899219721beca8a3

1

short_answer

With how many zeros does the result of $$48\times 925\times 38\times 435$$ end with?

[ "Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Power of Products" ]

2023-07-07T00:00:00

65b97cc4685a4c2285fda77b5e2dd58d

1

short_answer

Underline the largest mass. $30\text{g}$~ ~ $1\text{kg}$~ ~ ~ $300 \text{g}$~ ~ $2.5 \text{kg}$~ ~ $3000\text{g}$~ ~ ~$150 \text{g}$~ ~ $3\text{g}$

[ "Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->Comparing and Ordering Quantities" ]

2023-07-07T00:00:00

859d0b8b48294702afaa6ae358e1b4b8

3

short_answer

In the past $$1000$$ days, the villa had a total of $$2$$ theft that occurred. The owner of the villa has a dog and the dog would bark $$3$$ times every week at night. The probability of the dog barking when a thief is around $$0.9$$. According to the given informations, what is the probability of the dog barking during the occurrence of the theft?

[ "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability" ]

2023-07-07T00:00:00

7522b62306804ad5ac94948668c3a1b9

1

short_answer

Tony bought $$25$$ candies from a grocery shop. He bought $$7$$ more apple candies than orange candies. He bought $$3$$ more apple candies than grape candies. He bought $$2$$ more pineapple candies than orange candies. How many apple candies did Tony buy?

[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]

2023-07-07T00:00:00

cbc5f810ee4d4266ac73f789efc26675

1

short_answer

In a school $6$ out of every $11$ children are girls. If there are $407$ children in the school; How many boys are there?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base" ]

2023-07-07T00:00:00

cb24212b24014d99811733199a00d63c

1

short_answer

Mr Ya has some stickers to give to his pupils as a reward for their good behaviour. If he gives $$13$$ stickers to each pupil, he will have an excess of $$190$$ stickers. If he gives $$17$$ stickers to each pupil, he will have an excess of $$50$$ stickers. How many stickers does Mr Ya have?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple" ]

2023-07-07T00:00:00

514c9d0ed96a47ed9c826d6081877afc

1

short_answer

What is the smallest possible difference between two different nine-digit numbers, each of which includes all of the digits $$1$$ to $$9$$? For example the two numbers could be: $$123456789$$ and $$987654321$$

[ "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers->Complex Forming Numbers (with special requirements)" ]

2023-07-07T00:00:00

525efcf75fb844b7b5bfc88c0478887d

3

short_answer

In a school hall, there were $$65$$ fewer boys than girls. After~$\tfrac{2}{5}$~of the boys and~$\tfrac{3}{7}$~of the girls left the hall for recess, there were equal number of boys and girls left in the hall. Find the total number of students left in the hall at the end.

[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]

2023-07-07T00:00:00

a8823bcc458c444d8e7a13e610f7cd2a

0

short_answer

What is the value of: $$(70\times4)-(80\times3)+(60\times5)$$?

[ "Overseas Competition->Knowledge Point->Calculation Modules" ]

2023-07-07T00:00:00

c5424cddd42c402499631a2dc29f9de6

1

short_answer

Some friends were moving bricks. They moved $$26$$ less than half the number of bricks on the first trip. On the second trip, they moved $$11$$ more than half the remaining number of bricks. They then moved $$68$$ bricks on their third trip. $$25$$ bricks were still unmoved. How many bricks were there at first?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations" ]

2023-07-07T00:00:00

fa96d25c74d0403cb10a17ab2f107e56

2

short_answer

\textbf{Unchanged Total} There are 90 more boys than girls in a school. The ratio of the number of girls who can swim to the number of girls who can not swim is 31 : 49. The number of boys who can swim is 120 less than the number of boys who can not swim. If there are 1690 pupils in the school, how many pupils can not swim?~

[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions" ]

2023-07-07T00:00:00

0d96f11c50ce4d189e891f9019eef601

0

short_answer

Divide $2412$ by $9$.

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers" ]

2023-07-07T00:00:00

d95d576c1e1d4865bb3b4aa77767da99

2

short_answer

A book has $130$ pages numbered from $1$ to $130$. How many digit "$1$" are there in all the page numbers of the book?

[ "Overseas Competition->Knowledge Point->Number Theory Modules" ]

2023-07-07T00:00:00

9238796298a4443b8f23e7932b9616d6

1

short_answer

Three kids stand in a row to take group photos. How many different ways are there to arrange them?

[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems" ]

2023-07-07T00:00:00

e1834f400a7b4dd1aceed1e5f730d59b

1

short_answer

Mike says, "The desks and chairs in our class can line up perfectly in a large square array. No matter when you count from front to back, back to front, left to right, or right to left, my position is always the $$2$$\textsuperscript{nd} in line." Do you know how many students are in Mike\textquotesingle{} s class?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number of People in a Rectangular Array" ]

2023-07-07T00:00:00

e001594de0464ba1b21b4efea0bd0572

1

short_answer

The sum of Geoff\textquotesingle s age and his sister\textquotesingle s age is $$22$$. When will the sum of their ages be $$40$$?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems" ]

2023-07-07T00:00:00

157222dd22d34a94998e5528efa14ab0

1

short_answer

Some passengers are travelling on a bus. At the first stop, two fifths of the passengers got off. At the next stop, one third of the remaining passengers got off, which left $22$ people. How many passengers were on the bus at the start?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]

2023-07-07T00:00:00

957c6e2479f14a37aca09d1bc7ff195f

1

short_answer

The Ugly Duckling Book comprises of $20$ pages. \textbf{How many digits are there in The Ugly Duckling Book?}

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem" ]

2023-07-07T00:00:00

97bb7d23bdbf4724b5bab9effbd3ac6e

1

short_answer

$125\times34\times25\times4\times8=$~\uline{~~~~~~~~~~}~

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division" ]

2023-07-07T00:00:00

105a05ed86254429b49e9aa1e948fc3f

2

short_answer

A staircase has $$10$$ steps. If Peter can climb either $$2$$ or $$3$$ steps each time, in how many ways can he reach the tenth step?

[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration" ]

2023-07-07T00:00:00

a447314d1b7e47d595af58ce12a8673e

2

short_answer

Mr Turner\textquotesingle s combination lock has $$4$$ digits. When he changes the digit in the ones place to the first digit of the combination lock, he notices that the new $$4$$-digit number is greater than the original number by $$5877$$. What is the original combination lock number?

[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)" ]

2023-07-07T00:00:00

ef6efdf0f99e45afbcac63320b9c084a

1

short_answer

A division gives a quotient of $$12$$ and a remainder of $$3$$. What is the minimum value of the dividend? Pip\textquotesingle s Answer: The smallest possible divisor is $$1$$, so the minimum value of the dividend is $$1\times12+3=15$$

[ "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders" ]

2023-07-07T00:00:00

b576b58e760e4608bde960e52d27390f

1

short_answer

David, Bentley and Triston have $$410$$ stamps altogether. Triston has $$5$$ times as many stamps as Bentley. Bentley has $$25$$ fewer stamps than David. How many stamps does Bentley have?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple" ]

2023-07-07T00:00:00

1d179bb769e243588baf620c0eddb4c3

1

short_answer

$$1998$$ is Pip\textquotesingle s year of birth. Pip repeatedly write~$\underbrace{199819981998\cdots1998}_{{n digits}}$~until it is a multiple of $$33$$. What is the value of $$n$$?

[ "Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules" ]

2023-07-07T00:00:00

8b5b1973788f4120b9eaa557471090b6

1

short_answer

Find the sum of the numbers in the $$5^{\rm th}$$ group in the pattern below. $$(1,1,2)$$~ ~$$(2,4,12)$$~ ~$$(3,9,36)$$ $$\cdots $$

[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences" ]

2023-07-07T00:00:00

37df628db6754f34a0428e73a9610822

1

short_answer

Work out $882 \div14$

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table" ]

2023-07-07T00:00:00

b9ea86dfaf4448428f87deacbb7a0f5a

1

short_answer

Each time Peter runs around the school, he travels $\dfrac{1}{4}$~mile. How many times would he need to go around the school to run a total of $3.75$ miles?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division" ]

2023-07-07T00:00:00

d888f754042d47c097e6350ffd0bf91f

1

short_answer

Write as a number : three million thirty thousand and thirty Answer~\uline{~~~~~~~~~~}~

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers" ]

2023-07-07T00:00:00

9a6a60ff879c4c6bbc80d88a7bee3dd1

0

short_answer

In a country dance there are $3$ boys and $2$ girls in every line. $42$ boys take part in the dance. How many girls take part?

[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio->Knowing Ratio" ]

2023-07-07T00:00:00

523cf0df494b4333b5fe0276768d0d6f

1

short_answer

A three-digit integer has remainder $3$ when it is divided by $5$, remainder $4$ when divided by $6$ and remainder $1$ when divided by $9$. What is the smallest possible value of the number?

[ "Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems" ]

2023-07-07T00:00:00

3a67a40b66334eb68ffe9d005d60fa1f

1

short_answer

Andrew, Kim and Shaun have $256$ stamps. Shaun has twice as many stamps as Kim. Andrew has $24$ less stamps than Shaun. How many stamps does Andrew have?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems" ]

2023-07-07T00:00:00

da2e2930096a4f6e840662dbf18b6d76

1

short_answer

The total number of erasers that Candice, Doris and Elly have is $$50$$. The number of Elly\textquotesingle s erasers is $$6$$ more than Doris. Number of erasers Candice has is five times of Elly. How many erasers does Candice have?

[ "Overseas Competition->Knowledge Point->Word Problem Modules" ]

2023-07-07T00:00:00

33ccad8b36de4799bc2bc55439667b1d

1

short_answer

What is the missing value? $$10:\boxed{\textasciitilde?\textasciitilde}=14:21$$

[ "Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions" ]

2023-07-07T00:00:00

900857df81614ea5855ed60ccd1e3252

1

short_answer

London Library has $78$ books about fish. London Library has $12$ fewer books about birds than about fish. What is the total number of books that London Library has about birds and fish?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]

2023-07-07T00:00:00

a4ee7f4c3e13434da3c2253ab814136c

1

short_answer

Write a two-digit number which fits all three of these statements: It is a multiple of $6$. It is a multiple of $9$. It ends in "$0$". ~\uline{~~~~~~~~~~}~

[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples" ]

2023-07-07T00:00:00

5adbbaf57fc64b529ecdb661df6d9c9e

1

short_answer

Johnny is working on his math homework. Question: What is $$7$$ tens more than $$5832$$? Johnny\textquotesingle s Answer: $5839$. Is Johnny\textquotesingle s answer correct? If not, what is the correct answer? Show your working!

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction " ]

2023-07-07T00:00:00

17091d7aa5fd4380bc6e97f0a25be60b

1

short_answer

In one equation, how many different positive integers at most can add up to $$27$$?

[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]

2023-07-07T00:00:00

08031ac64ba7489a8cb62dc6a25d5652

1

short_answer

A length of rope is $3 \text{m}$~long. It is cut into four unequal lengths. Three of the pieces are $147 \text{cm}$,~$32.5 \text{cm}$~and $67 \text{cm}$. How long is the fourth piece?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]

2023-07-07T00:00:00

3cf63d0be0824f3c84d43730e223636f

2

short_answer

In a test, the probability that $$A$$, $$B$$, and $$C$$ pass the test (without affecting each other) is $$0.5$$, $$0.4$$, and $$0.2$$. How many people are most likely to pass at the end of the test?

[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]

2023-07-07T00:00:00

e2d31838755547eba6842f1253e3ffd1

0

short_answer

Work out $$308-197$$. ~\uline{~~~~~~~~~~}~

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form" ]

2023-07-07T00:00:00

741594190e264f008d30c48a942dc6ee

1

short_answer

Alice makes a booklet with $$18$$ pieces of paper. If a leaf is inserted after every $$3$$ pieces of paper, how many leaves does she need?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems" ]

2023-07-07T00:00:00

b4e006ff98474bd0850725353e1e101a

1

short_answer

Evaluate $$\left(101+234+567\right)\times \left(234+567+89\right)-\left(101+234+567+89\right)\times \left(234+567\right)$$.

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers" ]

2023-07-07T00:00:00

b422fcfa507f4716856239caa8b70d72

1

short_answer

Calculate: $$1 + \frac{1}{2}+ \frac{1}{2}+ \frac{1}{3}+ \frac{2}{3}+ \frac{2}{3}+ \frac{1}{3}+ \cdots + \frac{1}{10}+\frac{2}{10}+ \cdots + \frac{9}{10}+ \frac{9}{10}+ \cdots + \frac{2}{10} + \frac{1}{10}=$$~\uline{~~~~~~~~~~}~

[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]

2023-07-07T00:00:00

0049786ba1f8489782eb5b1cdec203a2

1

short_answer

The ratio of the number of watches to the number of caps at a stall was $$8:11$$. When $$88$$ caps were sold, the ratio of the number of watches to the number of caps became $$12:11$$. What was the number of watches at the stall?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]

2023-07-07T00:00:00

b404e6302dad4073a624607030879a2e

1

short_answer

Sam, the mailman of Think Road, always maintains the same speed when distributing newspapers door-to-door to residents. The distance between each two adjacent houses is equal, and he spends $$30$$ minutes riding from the first house to the sixth house. The width of the house is negligible. How many minutes will he need to deliver the newspapers for all ten houses? (Ignore the time spent when Sam stops cycling and puts the newspaper in the mailbox.)

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides" ]

2023-07-07T00:00:00

13a6697cd8dc4ffab7300721bb11888a

1

short_answer

$31\times56=$~\uline{~~~~~~~~~~}~

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division" ]

2023-07-07T00:00:00

7ebc9c1439ea4a04bb6f8b9daa36c101

1

short_answer

\textbf{$$ABCD$$~}is a four digit number: Its first digit is $$\dfrac{1}{4}$$ of its last digit The second digit is $$1$$ less than its first digit When you multiply $$ABCD$$ by $$4$$, its digits appear in reverse order None of the digits are the same What is the number?

[ "Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits" ]

2023-07-07T00:00:00

26535c3c7cf044319e17743d60510a51

1

short_answer

A piece of ribbon of length $1.05\textasciitilde m$ is divided into two pieces, where one piece is twice as long as the other. Determine the length of the longer piece of ribbon in $cm$.~\uline{~~~~~~~~~~}~$\textasciitilde cm$

[ "Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle" ]

2023-07-07T00:00:00

0643ad338aa0456895d017aec0d4285d

2

short_answer

In October Sally drove $560$ miles in her car. The car travelled $34.5$ miles for each gallon of petrol used. Petrol cost £$1.08$ per litre. $1$ gallon $=4.55$ litres. Work out the cost of the petrol the car used in October.

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)" ]

2023-07-07T00:00:00

69e6ce5788b847b9b25303af2fe5a1fb

1

short_answer

Jack and Ken play a game of picking up coins from a pile of $2015$ coins. They take turn to pick up coins with Jack starting first. The rules of the game require each person to pick up only $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $10$ or $11$ coins at each turn and the person to pick up the last coin is the loser. How many coins should Jack pick up at his first turn to ensure that he will be the winner?

[ "Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Game Strategy", "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations" ]

2023-07-07T00:00:00

be2bd70c882644a99d167bdd71a65b7e

1

short_answer

The graph of linear equation $y=mx+b$ passes through the origin and point $(4,8)$. The linear equation should be wrriten as~\uline{~~~~~~~~~~}~.

[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable" ]

2023-07-07T00:00:00

c59f693d386d4a73a2d62b1ebcb6185c

1

short_answer

（UK Latymer $11+$ Math Ematics Sample Paper$1$ Question $$23$$） Write down the number twelve hundred million, thirty-one thousand and ninety three in figures.

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers" ]

2023-07-07T00:00:00

90111a213be04afd824d36b70a321040

2

short_answer

Pip arranged some black and white balls according to the following rule： ●○●○○●○●○○●○●○○\ldots{} When he finished all the balls, he found that there were $92$ white balls. How many balls Pip arranged in total?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems" ]

2023-07-07T00:00:00

ad17dc3f8a494864b760b100079443f6

1

short_answer

A twenty-four hour digital watch shows only hours and minutes. How many times each day does the watch show at least two fours simultaneously?

[ "Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Reading the Clock" ]

2023-07-07T00:00:00

91e7591f3e904be694c0587963279359

1

short_answer

Consider the following pattern: 0→1 1→0 6→1 8→2 368→3 1008\textgreater4 What is 2015→?

[ "Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns" ]

2023-07-07T00:00:00

cb33eae512244d56b52f675bb43136e8

2

short_answer

The Seven Dwarfs were born on the same day, in seven consecutive years. The ages of the youngest three add up to $42$ years. What is the age of the oldest one?

[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Applying the Theorem of Middle Term" ]

2023-07-07T00:00:00

0894ed5b3d6f4b4fb5f060190e4e433a

1

short_answer

$$78+263-174$$

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers->Questions Involving Addition and Subtraction" ]

2023-07-07T00:00:00

0e998f78d8e24e0db196fc058218632c

0

short_answer

Find the Highest Common Factor of the following pair of numbers $$16$$ and $$28$$.

[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Two Numbers" ]

2023-07-07T00:00:00

1d5d5c2cc7ed4484b0ee32dc49820fea

1

short_answer

Siti had some pears. When she packed them into bags of $$6$$, she had $$2$$ pears left. When she packed them into bags of $$7$$, she was short of $$3$$ pears. What was the smallest possible number of pears that Siti had?

[ "Overseas Competition->Knowledge Point->Counting Modules" ]

2023-07-07T00:00:00

ab6dabced7d2420b96da9161a985e3da

1

short_answer

Some passengers are travelling on a bus. At the first stop, two fifths of the passengers got off. At the next stop, one third of the remaining passengers got off, which left $22$ people. How many passengers were on the bus at the start?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]

2023-07-07T00:00:00

6fbfa557708a48f88080cdee949845ca

1

short_answer

A pencil is $10 \text{cm}$~long. After it is sharpened, it is $4 \text{mm}$~shorter. What is its length now in $\text{cm}$?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction" ]

2023-07-07T00:00:00

1a6a4bcf3e384d149434758e9e9ee954

3

short_answer

Sam and Peter had some stickers in the ratio 7 : 5. Sam and Peter each gave 20\% of their stivkers to John. As a result, John's stickers increased by 80\%. If Sam had 20 stickers more than John in the end, how many stickers did Peter have at first?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]

2023-07-07T00:00:00

e8a7cdbe9f064caa8845fdc48753ccf2

1

short_answer

At Think Olympics, Francis completes an $$1200-$$meter race. He runs the first $$420$$ meters at a speed of $$7$$ meters per second, the middle $$620$$ meters at a speed of $$5$$ meters per second, and in the sprint stage, Francis runs at a speed of $$8$$ meters per second. Find the time Francis spends on the entire race (in seconds).

[ "Overseas Competition->Knowledge Point->Word Problem Modules", "Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road" ]

2023-07-07T00:00:00

60f2bc1eec7c407c8a6d23e10fdfedbd

2

short_answer

The full score of each common test is $$100$$ marks. Paul has taken $$4$$ common tests and his average score of these $$4$$ tests is $$89$$ marks. If he wants his average score to reach $$95$$ marks or above, at least how many more tests should he take?

[ "Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability", "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)" ]

2023-07-07T00:00:00

7463bf137d564fbabe4d8eb8c8c7ee34

3

short_answer

David had a total of $$72$$ notes. The notes were either $$$2$$ notes or $$$10$$ notes. After he spent $$90$$\% of the $$$10$$ notes and $$75$$\% of the $$$2$$ notes on a gift, he was left with twice as many $$$10$$ notes as $$$2$$ notes. How much did the gift cost?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems" ]

2023-07-07T00:00:00

8c1bb4f017184cbfae594c5cfaf4d059

2

short_answer

If Hoses $$\text{A}$$ and $$\text{B}$$ are turned on at the same time, they will take $$9$$ hours to fill a swimming pool. It takes Hoses $$\text{A}$$ and $$\text{C}$$ $$12$$ hours to fill the same pool. Hoses $$\text{B}$$ and $$\text{C}$$ will take $$18$$ hours to do the same job. How many hours will it take to fill the pool if all the three hoses are turned on at the same time?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Pool Filling and Draining Word Problems" ]

2023-07-07T00:00:00

53f089451f8842afb473055ab5d608e1

1

short_answer

A construction company finished paving a road in $$4$$ days. It paved 75 meters each day. How long is the road?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Simple Work Word Problems" ]

2023-07-07T00:00:00

289652248f414fe9bbafc2f88b401174

2

short_answer

A drawer contains $12$ red markers, $12$ yellow markers, $12$ blue markers, and nothing else. Without looking, what is the fewest number of markers that must be taken out of the drawer to be sure that at least $2$ of them are the same color? (Noetic Learning Mathematics Contest - Fall 2020 - Grade 4 - Problem 10)

[ "Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems" ]

2023-07-07T00:00:00

b6319f96909f43389019a555f34399dc

1

short_answer

Wei Li has $$58$$ ＄$$2$$ notes and ＄$$5$$ notes altogether. The total value of all the money is ＄$$164$$. How many ＄$$5$$ notes does Wei Li have?

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division" ]

2023-07-07T00:00:00

d1e1ebce0b4843ca9292e8dbdda01d4d

1

short_answer

Part of a number sequence is shown. $\dots,105,120,135,\dots$ If these are the $7$th, $8$th and $9$th values in the sequence, what is the $100$th?

[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables" ]

2023-07-07T00:00:00

3ec3a596e66c4dfcb4ea91b63a5bf969

2

short_answer

Cellina spent $$ \frac{5}{9} $$ of her money on $$36$$ cupcakes and $$32$$ mufins. The price of one cupcake was thrice as much as the price of one muffin. She then used $$ \frac{1}{6} $$ of her money to buy more cupcakes. She spent a total of $$ $187.50$$ on all the cupcakes. How much did she spend on the muffins?

[ "Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle" ]

2023-07-07T00:00:00

fc35d0defe2942ffad92505706ccc8ee

1

short_answer

Celeste has $$10$$ boxes, each contains at least $$2$$ marbles. The number of marbles in any of the box is a multiple of $$2$$. Each box contains a different number of marbles except for two of them. What is the smallest number of marbles Celeste can have?

[ "Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples" ]

2023-07-07T00:00:00

cc22edf7a7fd4aa79216b432dcbeac61

0

short_answer

Solve the equation:~$3a+8=14$.

[ "Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient" ]

2023-07-07T00:00:00

e2673569a0b943b292503bf53ce7b3a2

1

short_answer

$894 \div 3$

[ "Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table" ]

2023-07-07T00:00:00

a7840b9a2b4b4d80bcfb1955e50dedb1

1

short_answer

Please calculate the following questions. $$1+2+3+4+5+6+7+8+9+8+7+6+5+4$$．

[ "Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables" ]

2023-07-07T00:00:00

eab847de393a4cc89be122fdacf06c1b

1

short_answer

A pigeon breeder puts $$75$$ pigeons into $$20$$ cages. How many pigeons at least are there in the cage with the most pigeons?

[ "Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations", "Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Simple Pigeonhole Principle Problems" ]

2023-07-07T00:00:00

4f9c4a2d52664632815cca87ff3639cd

3

short_answer

There are $1007$ parterres in a straight line. A sprinkler must be installed in the middle of each two parterres. What is the minimum number of sprinklers needed to be installed at least? (ignoring the size of~parterres)

[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]

2023-07-07T00:00:00

13b735246ec440b287eb3433e89d8de3

1

short_answer

The mass of a papaya is $2\frac{1}{4}$ kg. The mass of a jackfruit is $3$ times the mass of a papaya. What is the total mass of the papaya and the jackfruit? Below is James\textquotesingle s workings. $2\frac{1}{4} \times 4$ = $2\frac{4}{4}$ = $3$. The total mass is $3$kg. Are his workings correct? If not, circle his error and find the correct answer.

[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]

2023-07-07T00:00:00

df5ddf6fab1640afbbe79fdc2c9c6b0d

0

short_answer

When I looked at my fitness tracker this moring, it showed I had taken $$1991$$ steps today. This is a palindromic number (which means it is the same read forwards as read backwards). How many~\textbf{more~}steps do I need to take before my fitness tracker shows another palindromic number? ~\uline{~~~~~~~~~~}~

[ "Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value in Enumeration Problems" ]

2023-07-07T00:00:00

f621eb20ae1b443e9decb28c81cacff9

1

short_answer

Find the number half way between $387$ and $729$.

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly" ]

2023-07-07T00:00:00

7b38d775bba24657ba681d25822af411

3

short_answer

\textbf{Percentage Double Base} Marry had~$\dfrac{7}{5}$~as many stickers as Alexis.~Marry and Alexis each gave 20\% of their stickers to Charlotte. As a result, Charlotte\textquotesingle s stickers increased by 80\%. If Mary had 20 stickers more than Charlotte in the end, how many stickers did Alexis have at first?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems" ]

2023-07-07T00:00:00

8f05ca5aac6947c0a578b4f78816fdeb

1

short_answer

The highway repair crew is paving a road. The first day it paved $8$ thousand feet. The second day it paved $4$ thousand feet more than $\dfrac{1}{6}$~of the total road. If they paved $\dfrac{5}{12}$~of the total length in the first two days, how long is the road?

[ "Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base" ]

2023-07-07T00:00:00

411dbd979ec64b9198f41e36f93de415

1

short_answer

How many different three-digit numbers can be formed using the numbers $$3$$、$$4$$、$$5$$?（without using the same number two times like $$33$$ ）

[ "Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering" ]

2023-07-07T00:00:00

dbcf24f4b4254940a364df67ea2a66dd

1

short_answer

After giving away $440$ bottle caps from his collection, Justin had $\frac{5}{9}$ of his collection left. How many bottle caps were there in his collection at first?

[ "Overseas Competition->Knowledge Point->Calculation Modules->Fractions" ]