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timestamp[s] | queId
stringlengths 32
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stringclasses 5
values | qtype
stringclasses 1
value | problem
stringlengths 6
2.89k
| knowledge_point_routes
sequence |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | 18e2a859640043989d18f5185f01a455 | 1 | short_answer | Solve the equation: $\frac{2}{3}(x-1) - \frac{1}{4}(3x+1) = \frac{1}{6}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 18ba329683b9437a99bb36874be11b6d | 2 | short_answer | My $$24$$-hour digital clock displays hours and minutes only. For how many different times does the display contain at least one occurrence of the digit $$5$$ in a $$24$$-hour period? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 6108bfa174894485b78d31f295206c3f | 2 | short_answer | There are some science books and novels in the library. The number of science books is $$14$$ less than $$6$$ times that of novels. If there are $$106$$ less novels than science books, How many science books are there in the library? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 528a56a810f04995a3393b4a5b5c2aff | 0 | short_answer | There are $26$ eggs in one tray. Mrs Lee buys $4$ trays of eggs to bake for a funfair. How many eggs does Mrs Lee need? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Completing Equations According to Pictures (multiple variables)"
] |
2023-07-07T00:00:00 | 9b180ed71aad4dea867c316124171dcc | 1 | short_answer | Calculate: $$40-39+38-37+36-35+\cdots +6-5+4-3+2-1$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 8b7e921fc69e446a84cae8a24f0dd127 | 1 | short_answer | Tarita starts a savings account with $$$3600$$ at a bank. The interest rate is $$2 \%$$ per year. How much interest will she get in her savings account at the end of one year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 2a58888942e444b482b08c681e223aac | 1 | short_answer | Oni has $$11$$ penpals. Last week she wrote to all of them. She wrote a $$4$$-page letter to some of her penpals and a $$3$$-page letter to the rest. Altogether she wrote $$38$$ pages. To how many penpals did Oni write a $$3$$-page letter? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis->Basic Type->Non-typical Types"
] |
2023-07-07T00:00:00 | 8890e33ef31b4ccc99ae9b0385739828 | 0 | short_answer | Find the missing $3$ digit number in this calculation: $???\div24=36$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers"
] |
2023-07-07T00:00:00 | 508d839986774182b702b7f8bea45c05 | 0 | short_answer | Cassie bought $$2.5kg$$ of apples from the store. She used $$750g$$ to make an apple pie and another $$1025g$$ to make apple juice. How many kilograms of apples did Cassie leave? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 65be0a62238c44a1a81f3a149de3c3e7 | 1 | short_answer | Amy is shopping in a store. At the cashier, there are $$9$$ people in front of her. Counting from the back, she is in the $$15$$\textsuperscript{th}~place. How many people are there in total lining up? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | f7301d7cd70d47c88eb5997a858caf0c | 1 | short_answer | Calculate $7-(-4)$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | d9b549ad5efb489b9e021f1fff6fe259 | 1 | short_answer | A plant is 17 cm tall. After 4 weeks, it is 65 cm tall. How many cm did the plant grow per week? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | cff268a0ab3d4d4689a53ee2d5eab94a | 1 | short_answer | There are $$5$$ red, $$5$$ white and $$5$$ yellow balls in a bag. At least how many balls must be drawn so that there are certainly $$3$$ \uline{different} coloured balls? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | 5f2651543daf486c9b5689378dd5d200 | 1 | short_answer | A length of ribbon 12.75 m long is cut into two pieces. One piece is twice as long as the other. Find the length of the longer piece. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics"
] |
2023-07-07T00:00:00 | 626a60e2bb934c6c9efb5ecfc8cc7b07 | 1 | short_answer | Linda is putting her books on the shelf. Among the books, there is one her favorite book. There are $6$ books on the right of her favorite book. Counting from the left, it is the $14$\textsuperscript{th}~book. How many books are there on the shelf? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 432a2792a8fd48ab90470670028065e3 | 1 | short_answer | A full box of $$Brekkibix$$ contains $$1200$$ grams of cereal. If each of the dimensions of the box is halved, how many grams of $$Brekkibix$$ will the smaller full box contain? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 763158cf5ddc46bda0149e66cd6e5891 | 2 | short_answer | Gigi had $$120$$ coins and Lily had $$24$$ coins before they attended the mathematic class today. In the class, they get the same amount of coins, and the amount of coins Gigi has is now $$3$$ times the amount of coins Lily has. How many coins do they get in the class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 34aba952c92541a880a60157ce1f2a2a | 0 | short_answer | A set of cards are numbered from 1 to $20$. How many of the cards do not show prime numbers? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers->Judging Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | db88854e5b9e4689aa2540cd3230716e | 1 | short_answer | (UK Kent College Pembury $11+$ Math Ematics Sample Question $$8$$) Work out $694 \times 27$. Show all your working. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 03ff8fd61a1e4e12875cd66e409c1908 | 3 | short_answer | On Brian\textquotesingle s $14$th birthday, Brian\textquotesingle s father was $41$. Brian noticed that his age was the reverse of his father\textquotesingle s age. How old will Brian be the next time his age is the reverse of his father\textquotesingle s age? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems->Difference of Ages",
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle"
] |
2023-07-07T00:00:00 | 4a59132b51dd42b3907574fc7508b606 | 0 | short_answer | Work out $8386\div14$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers"
] |
2023-07-07T00:00:00 | 8246bb5345f84017abee88e67f605f55 | 3 | short_answer | The sum of the digits of a $$3$$-digit odd number is $$11$$. How many different possible numbers are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | ac3db56fed3b4b9dadaddbafb7210b8d | 1 | short_answer | It takes $$5$$ minutes to boil an egg. What is the least amount of time it takes to boil $$3$$ eggs?~\uline{~~~~~~~~~~}~minutes. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | f52723613c644fc7a8654b9875518c28 | 1 | short_answer | $$35$$ students went to Singapore Flyer. One cabin of the Singapore Flyer can only carry $$6$$ students. What is the minimum number of cabin needed so that all the student can get up to the Singapore Flyer? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | e350ae84124b4fc6989aada9939cc84a | 1 | short_answer | In an arithmetic sequence, the sum of the first $$4$$ numbers is $$124$$ while the sum of the last $$4$$ numbers is $$156$$. The sum of all the numbers is $$210$$. How many numbers are there in this sequence? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 6ae16204dd0c432f9b2b3b1d7e3657bc | 1 | short_answer | Celine had $11.16\text{kg}$ of dough. She uses $45\text{g}$ of the dough for each cookie and $150\text{g}$ for each brownie. She baked $240$ cookies and $2$ brownies in total. How much dough was left? Express your answer in $\text{kg}$.~\uline{~~~~~~~~~~}~$\text{kg}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
2023-07-07T00:00:00 | b2ce68cf7f1747dfb2b3a9656328089f | 1 | short_answer | Dan took in $1000$ calories yesterday. Today, Dan is determined to lose weight by taking in less calories. Write an inequality to represent how many calories Dan can take in today. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities"
] |
2023-07-07T00:00:00 | 612ec442ad6443f4a359e99c3e7de273 | 2 | short_answer | Pip\textquotesingle s mum bought a box of biscuits. On the first day, Pip ate half of all the biscuits and 4 more. The next day, Pip ate half of the remaining and 2 less. In the end, there were only 10 biscuits left. How many biscuits were in the box that mum bought? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems"
] |
2023-07-07T00:00:00 | 7863fd485a6b400695c4ed78bf2cec89 | 1 | short_answer | Bob had £100 pocket money. He deposits £5 on the first day, spends £8 on the second day, deposits £5 on the third day, spends £8 on the fourth day, and so on. How much money does he have in 15 days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 93c3881ba71b4288b0c393273f475ffb | 2 | short_answer | Study the following number pattern. $$70$$,$$71$$,$$72$$,$$71$$,$$70$$,$$70$$,$$71$$,$$72$$,$$71$$,$$70$$,$$70$$,$$71$$,$$72$$,$$71$$,$$70$$,\ldots{} What is the $$1004$$\textsuperscript{th} number in the pattern? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | eee379a91f664722bc128506d5cbe9a3 | 0 | short_answer | In a bag there are $$20$$ wine gums.They are shared equally between $$5$$ children. How many wine gums does each child have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | eb7626e5b04249ad8fe88c3ada4dac42 | 1 | short_answer | Calculate: $$10+13+16+19+\cdots +295+298$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | a0a094786a444fc89f05eba94b8e1741 | 1 | short_answer | Compute the following: | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 01b66abf11cc46dbbbfb8fc1cacabe78 | 1 | short_answer | $25\times24$$=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
2023-07-07T00:00:00 | 242aa8419d55484d8e58d0da5659df75 | 1 | short_answer | Natalia wants to share some coffee bean chocolates with her friends. If she gave each friend $18$ pieces of coffee bean chocolates, then there will be a $41$ chocolates in excess. If she gave each friend $23$ pieces of coffee bean chocolates, she would be short of $34$ pieces. If she gave each friend $20$ pieces of coffee bean chocolates, how many pieces of coffee bean chocolates will she be left with? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | c9055cb54a8e4238a45292b86630682e | 2 | short_answer | $5$ students $A$, $B$, $C$, $D$ and $E$ went to visit their form teacher Ms Fan on Teachers\textquotesingle{} Day. Before that, they were trying to guess the $3-$digit block number of Ms Fan\textquotesingle s place and made the following statements. Student $A$: The number is a multiple of $27$. Student $B$: The number is a muitiple of $7$. Student $C$: The sum of the digits of the number is $17$. Student $D$: The number is a perfect square. Student $E$: The number is a factor of $89100$. Ms Fan told them that only three of these statements are true. What is the $3-$digit block number of Ms Fan\textquotesingle s place? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning using Hypothesis",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 0a3f07dfc88447c4904fa68658a039cc | 1 | short_answer | Work out $$84.8\div400$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | b2b289d532544e649564ecfd97481da8 | 1 | short_answer | Frank went shopping with £$200$ in his wallet. He spent $15 \%$ of his money on a book and $30 \%$ of the rest on a DVD. How much money did he then have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 00797547355649a7aeaa0ba63a6da114 | 1 | short_answer | Calculate $5992 \div 7$ | [
"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 | ba5d90894baa46bfb336f5a957cccabb | 1 | short_answer | Mulan is a girl but she joins the army full of boys. The best boy soldier can do $50$ push-ups, but Mulan can beat even the best boy soldier. Write an inequality to represent how many push-ups Mulan can do. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities"
] |
2023-07-07T00:00:00 | f2ee218e18d746598a977b19436df816 | 2 | short_answer | Avril needs to blow up 40 balloons for a party. She blows up 22 but 3 burst. How many balloons does she still need to blow up? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | a3164e1c9a684eb6985ada44124f8660 | 1 | short_answer | $3\times27.6$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 8379e6cdd21b409f88bd041595e96f86 | 0 | short_answer | How many more games are to be played to complete the tournament? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 297630efead3458f83114baea5177aa8 | 1 | short_answer | $$88$$ pieces of candies are shared between $$8$$ children and each of them all gets at least one piece. No two children get the same number of pieces. For the child who gets the most pieces, what\textquotesingle s the least possible number of pieces that child can get? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums"
] |
2023-07-07T00:00:00 | 4d1afc03690e4059a20150252e9aa14a | 2 | short_answer | There are two stacks of stones, A and B, each containing $$20$$ pieces of stone. Tom and Jerry take stones out of the stacks one after another. In each turn, each player can take an unlimited number of stones from one of the stacks. To end their turn, each player~\textbf{MUST} pick at least one piece of stone each round, and the player who picks the last piece of stone wins the game. If Tom takes $4$ stones from Stack B first, find out from which stack and how many stones Jerry must take to win the game. Answer: Jerry must take~\uline{~~~~~~~~~~}~stone(s) from Stack~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 4d68899272944beeb370dd566bd82e48 | 1 | short_answer | Write down the number half way between $15$ and $37$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 4883a159ef4841db869cc5b99c3cb8e9 | 1 | short_answer | Rose filled up $$4$$ pails with $$4$$\textbf{~}ℓ of water each. After filling up the $$4$$ pails, Rose still had $$7$$ ℓ of water left. What was the original volume of water Rose had at first? The original volume of water Rose had at first is~\uline{~~~~~~~~~~}~ℓ\textbf{.~} | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 70882e282f9e400e9ee36f2422f02038 | 1 | short_answer | In class $$1A$$, the ratio of girls to boys is $$7:9$$. There are $$16$$ more boys than girls In class $$1A$$. How many pupils are there In class $$1A$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | 1f11408ee01e48db98990edeed513497 | 2 | short_answer | There are $37$ pupils line up and say numbers in turn. The first pupil says $1$, and everyone after him says a number by adding $$3$$ to the previous number. Someone makes a mistake by subtracting instead of adding $3$ to the previous number. All the numbers said by these $37$ pupils add up to $2011$. Who makes the mistake? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"
] |
2023-07-07T00:00:00 | 61ae1572690948d28178f82d9d76d770 | 1 | short_answer | The circumference of a lake is $$840\text{m}$$. Trees are planted at regular intervals of $$14\text{m}$$ round the lake. How many trees are planted round the lake? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Circular Paths"
] |
2023-07-07T00:00:00 | c5d3aa356bb54af391702fd40639b5a9 | 1 | short_answer | A recipe for $$12$$ shortcakes requires $$10$$ $$\text{ml}$$ of milk. Liz makes some shortcakes and uses $$25$$ $$\text{ml}$$ of milk. How many shortcakes does Liz make? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | 9f102133c2f64e46b998d847ff6646d4 | 1 | short_answer | The teacher divides some balls among $$5$$ students, and the number of balls owned by these students are five consecytive natural numbers. The sum of the total number of balls is $$160$$. How many balls does the student with the most balls have? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 2cd006f14c7e4d62957c102b37ad3764 | 1 | short_answer | $$M$$ is a three$$-$$digit number with a $$0$$ in its tens place, and $$S$$ is the sum of all digits in $$M$$\emph{.} If $$M=67\times S$$, what is the result when the number obtained by reversing all digits of $$M$$ is divided by $$S$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | c616e250bb3a4ea28dc67bcaf6e13e3c | 1 | short_answer | How many complete $6\text{cm}$~pieces can be cut from a $2$ metre stick? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division",
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"
] |
2023-07-07T00:00:00 | ddd57f21e2e3415fb85f06496019817a | 1 | short_answer | $2.7 + 5.31 -- 0.08$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Mixed Operations of Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | ba849ade4b5b4888ba3f01dfb7156e06 | 0 | short_answer | There are $10$ balls in a bag numbered from $1$ to $10$. Seven balls are selected at random. How many different ways are there of selecting the seven balls? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 67e5ac39390942c8a80324b810ad995a | 1 | short_answer | Note that $1+\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{4}}}=1+\dfrac{1}{1+\dfrac{4}{9}}=1+\dfrac{9}{13}=\dfrac{22}{13}$. It is known that the fraction $$\frac{13}{10}$$ can be written as $1+\dfrac{1}{a+\dfrac{1}{b+\dfrac{1}{c}}}$, where $$a$$, $$b$$ and $$c$$ are whole numbers. Find the value of $$a+ 2b+3c$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Complex Fractions"
] |
2023-07-07T00:00:00 | 13881a97e1fa4780b71be7965da96d93 | 1 | short_answer | What is the ones digit of $$8^{30}$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences",
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders "
] |
2023-07-07T00:00:00 | 1f7ecb3b2fa446d9a36c3db0462423d0 | 1 | short_answer | How many days will Sam spend reading a $400-$page book, if he reads on average $40$ pages per day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 3e2e9cfc559f4b45bfa32bae4770f18e | 1 | short_answer | There are $20$ questions in a science competition. A person gets $5$ points for a correct answer and loses $3$ points otherwise (getting a wrong answer or skipping a question). Justin answers all the questions and gets $52$ points. How many questions does Justin answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 739a7e30c1464e608503a893832d84ca | 1 | short_answer | A monkey eats peaches every day. If the number of eaten peaches is different on any day, how many days will the monkey take to finish eating $$100$$ peaches at most? | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | dfcd76d3d08844e4b30d258dfaddff6c | 1 | short_answer | Find the sum of $$10+15+20+25+30+35+\cdots +155$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 9ea706f25a51493ca9cf1548e9f7723b | 1 | short_answer | What number goes in the box? ~$0.3\times100=150\div\boxed{ \overset{ }{\overset{ }{ }}}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 8d827b1dc9424f36a3d0f0d1b0364775 | 1 | short_answer | On Arbor Day, students in Grade $$2$$ planted a total of $$100$$ trees. Given that girls planted $$12$$ more trees than boys, how many trees did the boys plant? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 22edd0e9c1bc4f6b9f43fac11a14a0ea | 1 | short_answer | What is the sum of the numbers that range from $$1$$ to $$20$$ when divide by $$6$$ give you a remainder of $$1$$ ? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 1e7aa3e2ce774fb09345a5574b3c93ae | 1 | short_answer | Mindy made $$600\text{g}$$ of sugar solution with a concentration of $$48 \%$$ by mixing some sugar and water. How much water did she use (in grams)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 77e366a8747b42c7b9ef3a9f1734ce77 | 1 | short_answer | $53.4 - 2.5$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 01afed4a053f422f832876b1f67b28f4 | 1 | short_answer | In order to find $$4 \times 7$$, Tim turned multiplication into an addition operation. Look closely, and follow his method to calculate $$9 \times 5$$. $$4 \times 7=7+7+7+7=28$$ $$4\times 7 = 4 + 4 + 4 + 4 + 4 + 4 + 4 = 28$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
2023-07-07T00:00:00 | ee3ee1e00e154afca5040ce397cbbfac | 2 | short_answer | The Seven Dwarfs were born on the same day, in seven consecutive years. The ages of the youngest three add up to $42$ years. What do the ages of the oldest three add up to? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Applying the Theorem of Middle Term"
] |
2023-07-07T00:00:00 | 8ece565c32b34b0a85e297903d183180 | 1 | short_answer | If the four-digit number $$12N4$$ is divisible by $$3$$ and $$N$$ is less than $$5$$, find $$N$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 2cfc7d4447c340039a6f001c399114d9 | 1 | short_answer | Given that $$\overline{abcd}+\overline{abc}+\overline{ab}+a=1370$$, find the value of $$\overline{abcd}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | fbfcdbbeb2dd460580732e2456668e09 | 1 | short_answer | The number of goals scored by St Francis\textquotesingle{} netball team in their last $10$ games are as follows. $7$~ ~$2$~ ~$12$~ ~$10$~ ~$5$~ ~$3$~ ~$7$~ ~$11$~ ~$9$~ ~~$4$ Find the mean~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly"
] |
2023-07-07T00:00:00 | bc4d4257932a4e18a0a6054b2ad402a3 | 1 | short_answer | Calculate: $$19\frac{4}{5}+199\frac{4}{5}+1999\frac{4}{5}+19999\frac{4}{5}+199999\frac{4}{5}=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Addition and Subtraction of Fractions"
] |
2023-07-07T00:00:00 | 06a5dba2a3c2483782a5e76f0725f304 | 1 | short_answer | Find five eighths of $$408\text{p}$$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation",
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 75889ef5d68c4e27a3f50900db827671 | 2 | short_answer | Janice is 11 years old. Janice\textquotesingle s sister is 5 years older than her. In how many years\textquotesingle{} time will their total age be 35 years old?（⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 0be90630e25149ab81224adc5eed02eb | 1 | short_answer | John scored an average of $$75$$ marks in $$3$$ Mathematics tests. He scored a total of $$172$$ marks in two of the tests. How many marks did he score in the remaining test? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 374399623a6247989f8e869566efbabe | 1 | short_answer | Six years ago, the age of a dad was $5$ times that of his son. The sum of the ages of the dad and his son is $78$ this year. Find the dad's age this year. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Sums and Multiples in Age Problems"
] |
2023-07-07T00:00:00 | 009d4994f44241d6adfaf6cd25586a33 | 1 | short_answer | Calculate: $$1 + \frac{1}{2}+ \frac{2}{2}+ \frac{1}{2}+ \frac{1}{3}+ \frac{2}{3}+ \frac{3}{3}+ \frac{2}{3}+ \frac{1}{3}+ \cdots + \frac{1}{8}+\frac{2}{8}+ \cdots + \frac{7}{8}+ \frac{8}{8}+ \frac{7}{8}+ \cdots + \frac{1}{8}=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 6e7c5cd2038a4a78b493c785f03022af | 0 | short_answer | Terry and Gerald were in an essay writing competition. Gerald wrote $$57$$ more words than Terry. They wrote $$777$$ words altogether. How many words did Gerald write? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 97a3f06ac00743faa22d113268079816 | 1 | short_answer | Eddie loves sweets. He bought many fruit drops, lollipops and milk chocolates, but he forgot the total number of sweets he bought. Now he can only remember that he bought $$6$$ fruit drops which was $$\frac 27$$ of the number of milk chocolates, and that the number of milk chocolates was $$\frac 34$$ of the total number of sweets he bought. Can you help Eddie find the total number of sweets he bought? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 96a62c49fc964fc58960e404634765ab | 1 | short_answer | Teacher Apple brings $60$ dollars. She can use this money to buy exactly $1$ football and $2$ volleyballs. If she buys $2$ footballs, the cashier will return her $16$ dollars. One volleyball is~\uline{~~~~~~~~~~}~dollar. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | aa07dd133e5a418397ba560c1b9b4019 | 1 | short_answer | A team of $5$~students represent England in a junior international chess competition. One student decides to take their ages and calculate three different averages. The mode age of the team was $7$, the mean age was 9 and the median age was $8$. Given also that the range of their ages is $6$. How old was the second oldest member? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Basic Concepts of Statistics"
] |
2023-07-07T00:00:00 | 3158da53b8bf4a7584a950b66fcdd9c7 | 1 | short_answer | John wrote a $$4$$-digit number on a piece of paper and asked Peter to guess it. Peter asked: "Is the number $$1703$$?" John replied: "Two of the digits are correct. The positions of those digits are also correct." Peter asked again: "Is the number $$2745$$?" John replied: "Two of the digits are correct. The positions of those digits are all Wrong." Peter asked again: "Is the number $$3541$$?" John said: "All the digits are correct. The positions of those digits are all wrong." Given all the digits in that $$4$$-digit number are all different, what is the number written by John? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | c5979856964d41d596b0d0d097b051db | 1 | short_answer | Using numerals write the number that is \emph{six hundred and thirty} less than \emph{one} \emph{thousand.} \emph{Answer:~\uline{~~~~~~~~~~}~} | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | 925f4e025c564ed28a953715c34c7dc2 | 1 | short_answer | $$57+8=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 0f51237988594921863438cf9edfab1c | 2 | short_answer | Calculate: $$1^{3}+2^{3}+3^{3}+\cdots+20^{3}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1³+2³+3³+......+n³=(1+2+3+......+n)²"
] |
2023-07-07T00:00:00 | 047b5f556fb5469db5a0dd878deb688b | 1 | short_answer | （Maths Olympiad 《The Story of Gauss》 Pr$$3$$\&$$4$$ Question \#$$14$$） Find the value of $$1+3+5+7+\ldots+43+45+47+49$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | ae6e80cdd9bc412b91d8c35ca30a7537 | 0 | short_answer | Alice is organizing her desk, and she needs to arrange one math book, one English book, and one science book neatly in a row. How many different arrangements are there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | ca3f6a5eb48f4f8e8b5fa5ab8277b925 | 2 | short_answer | Five people A, B, C, D, and E stand in a line, if A does not stand on the first or the last, how many ways are there to line up? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | ecec780bcb244e6abbe08afdb7f88ba2 | 1 | short_answer | 16 people are playing a knockout tournament for Scissors Paper Stone. At least how many round of games will be play so that the winner can be determine? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"
] |
2023-07-07T00:00:00 | df15059d1f2245d7a0ebad02edda73c2 | 1 | short_answer | In a garden, the number of red flowers is $$3$$ times that of yellow flowers, and the number of pink flowers is $$7$$ fewer than that of yellow flowers. If there were $3$ pink flowers, how many red and yellow flowers are there altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | f74936f4fb2743fa9280b53676ad92ce | 1 | short_answer | Solve the equation below. $$6x+3x+2=38+5x-8x$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | 8485b1846a4246249bff0e15b2a80830 | 3 | short_answer | A group of children visited the Botanic Gardens one morning. The number of boys was $50 \%$ more than the number of girls. Later in the afternoon, $$12$$ boys and $$12$$ girls joined the group. The ratio of the number of boys to girls became $$19 : 14$$. Find the total number of children in the Botanic Gardens that afternoon.~\uline{~~~~~~~~~~}~ Ollie\textquotesingle s workings: \uline{Before (morning)} Boys $:$ Girls $:$ Difference $2:1:1$ $10:5:5$ \uline{After (afternoon)} Boys $:$ Girls $:$ Difference $19:14:5$ The boys and girls increased by $9u$ each. $9u=12$ Total $=19u+14u=33u=\frac{12}{9}\times33=44$ There were $44$ children. Observe Ollie\textquotesingle s workings above and try to spot a mistake, if any. Write down your workings and solve the question. | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures->Change of Quantity"
] |
2023-07-07T00:00:00 | 18ce5581f91b49fc8dc1bb6048706547 | 1 | short_answer | A train was supposed to arrive at a $$MRT$$ station at $$5:30 \rm pm.$$ Due to a technical fault, it was delayed half hour. What time did the train reach the $$MRT$$ station? (2008 Math kangaroo Problems, Level 3-4 , Question \#6) | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | 257cbb8e43a84bf4bc33363d090d12f5 | 1 | short_answer | My fruit basket contains apples and oranges. The ratio of apples to oranges in the basket is $$3 : 8$$. When I remove one apple the ratio changes to $$1 : 3$$. How many oranges are in the basket? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Solving Ratio Problems with Proportion Equations"
] |
2023-07-07T00:00:00 | 3f961fb2104d4e9e893a8f97f5406880 | 2 | short_answer | A $$3$$-digit integer is called a \textquotesingle V-number\textquotesingle{} if the digits go \textquotesingle high-low-high\textquotesingle{} $$-$$ that is, if the tens digit is smaller than both the hundreds digit and the units (or \textquotesingle ones\textquotesingle) digit. How many $$3$$-digit \textquotesingle V-numbers\textquotesingle~are there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | c66ee3588fd642e996d89671f5c4c45a | 1 | short_answer | The exercise books of $$6$$ students are all mixed together. If each of them takes a random book, how many ways are there for each person to get an exercise book that is not his or her own? | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | 30b9c89f50a64d548b5206fecab5e49e | 1 | short_answer | A table cost two times as much as a chair. Two tables and three chairs cost ＄$$280$$. How much does each table cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 53091b38428546359c01b3a68ba14617 | 2 | short_answer | Jessie is buying some stationery in a bookstore. She needs to buy some notebooks and colour pencils as gifts for her classmates. A notebook costs $$$3$$ and a box of colour pencils costs $$$9$$. She has a total of $$10$$ classmates and she plans to spend $$$48$$. How many boxes of colour pencils can she buy? (Hint: Draw a table!) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | f2f7e251a30f4cec8d22cfa15118db43 | 1 | short_answer | There are 500 students in the children\textquotesingle s theatre. The theatre has two floors. The first floor has 9 rows of seats, which can seat 36 students in each row. If students first fill up the first floor, how many students must sit on the second floor? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
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