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stringclasses 5
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stringlengths 6
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 89aaad0e5929492ebd91a881ccbdcd20 | 2 | short_answer | Students from Sunshine Primary School are arranged in a square array with equal row spacing and column spacing on the playground. The outermost layer of the array is full of boys, and the adjacent inner layer is full of girls, then boys, then girls and so on until the innermost layer is reached. If there are $20$ more boys than girls in total, find the total number of students. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | 45bfd7efccc8407995a20fc0424601ff | 1 | short_answer | The staff in the aquarium is distributing a fixed amount of fish among a group of penguins. If the staff gives $$3$$ fish to each penguin, there will be $$25$$ fish left. If the staff gives $$6$$ fish to each penguin, there will be one penguin who gets only $1$ fish. How many penguins are there in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | 21ac3377e3e04f7095b5e98b24de2cf5 | 1 | short_answer | Determine the value of $\sqrt[3]{-0.512}+(-1.2)^{2}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"
] |
2023-07-07T00:00:00 | 185585248b784d759d3d8f88fb2bb399 | 2 | short_answer | Find the sum of the first $$30$$ terms of the following sequence. $$1$$，$$2$$，$$2$$，$$3$$，$$3$$，$$3$$，$$4$$，$$4$$，$$4$$，$$4$$，$$5$$，$$5$$，$$5$$，$$5$$，$$5$$，$$\cdots \cdots $$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 963c4317b46e4ab89cf2305881120383 | 1 | short_answer | Add together $$25 \%$$ of $$20$$, $$\frac{1}{5}$$ of $$30$$ and $$\frac{2}{3}$$ of $$18$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Mixed Four Operations of Fractions"
] |
2023-07-07T00:00:00 | c7fe09cca9884a74bd0f46ebfe209d6e | 2 | short_answer | In the number $$1a7731$$, what value does the digit $$a$$ have to be, if the number is divisible by $$11$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Judging Divisibility According to the Sum of Digits"
] |
2023-07-07T00:00:00 | 1cdbbd42038c4d25a4e3858e94b44f02 | 1 | short_answer | $$140$$ students are involved in voting for the Model Student. Alice has received $$31$$ votes, Betty $$41$$ votes and Cindy $$47$$ votes so far. At least how many more votes must Cindy receive to ensure that she is the Model Student? | [
"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 | 14374f60574642deb9cb3cb4947ba4d5 | 1 | short_answer | Without using a calculator, evalute the following expressions. $\frac{7\div -3.\dot{3}}{\sqrt[3]{-0.027}}+\frac{2^{3}\div4^{2}}{0.125\times[1.8-(0.2\times7)]}-[\frac{0.1}{0.\dot{1}\dot{4}\dot{2}\dot{8}\dot{5}\dot{7}}+(2\times0.3)]=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"
] |
2023-07-07T00:00:00 | 0f27bf9162ed4fbba2f119e08ed1cf48 | 3 | short_answer | $\tfrac{3}{4}$~of Chelsia\textquotesingle s money is equal to~$\tfrac{5}{6}$~of Brian\textquotesingle s money. If Chelsia has $$ $24$$ more than Brian, how much money do Chelsia and Brian have altogether? Spot the mistake in my workings and write the correct solution: $\frac{3}{4}$ of Chelsia $=$ $\frac{5}{6}$ of Brian $\frac{9}{12}$ of Chelsia $=$ $\frac{10}{12}$ of Brian $10u - 9u = 1u$ $1u = $24$ $12u + 12u = 24u$ $24u = 24\times $24 = $576$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 477f4016e7a14d6cb1f6561d4b2f7cbc | 1 | short_answer | On 10\textsuperscript{th}~May 2005, Gina was 50 years old. James was 20 years old on 10\textsuperscript{th}~May 1997. How old was Gina when James was born? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 9e011e38eb9e41da9b82d8e1b79479a9 | 1 | short_answer | An television salesperson receives a base salary of $2500$ dollars per month plus a commission. The commission is $2$\% of the sales up to and including $25000$ dollars for the month and $5$\% of the sales over $25000$ dollars for the month. A salesperson\textquotesingle s salary for July is $3300$ dollars. How much is his/her sale for July? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Segment Pricing"
] |
2023-07-07T00:00:00 | 02c0f5596e944b52b450f57444a52432 | 1 | short_answer | The ratio of the number of marbles Ryan had to the number of marbles Audrey had at first was $2:7$. After Ryan bought another $20$ marbles and Audrey gave away $80$ marbles, the ratio of the number of marbles Ryan had to the number of marbles Audrey had became $1:3$. How many marbles did Audrey have at first? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | e491c5ac6e9343c7ba3274532283f9c9 | 1 | short_answer | The average height of six players in a basketball team is $150$ $\text{cm}$. Given that the average height of four of them is $2$ $\text{cm}$ lower than the average height of the team, find the average height of the other two players. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | bfde156ecaa4455aabd96e9c177c7723 | 1 | short_answer | The probability that a learner driver passes their driving test is set to be $0.4$. If they fail the first test the probability that they pass on the second test is $0.5$. If they fail the second test the probability that they pass on the third attempt is $0.3$. Find the probability that the driver passes their test before their fourth attempt. | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | e928057276ba4f80816203d0efad0161 | 1 | short_answer | A storybook uses $$1014$$ digits for its page numbers. How thick is the storybook? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence of Specified Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | 4e41a656965248ecb27c18b15b949af4 | 1 | short_answer | In a supermarket, there are $$3$$ different types of fruits and $$4$$ different kinds of vegetables. How many different combinations can Belinda form if she only wants to buy one type of fruit and one type of vegetable? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration"
] |
2023-07-07T00:00:00 | 601f7cda15454bc985fa1ee54ba442cd | 1 | short_answer | Pip is leaving from City A for City C, passing City B. There are two ways to travel from City A to City B and three ways to travel from City B to City C. How many different routes can Pip choose? | [
"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 | 25f54cb721264bd5a88945dcae9a35da | 1 | short_answer | What is the sum of the first 30 numbers of the following pattern? $50, 49, 48, 47, 46 \cdots $ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 9dd71278e1224d6aae7ee3729d3d4491 | 1 | short_answer | How long will Sally need to complete a $450-$pieces puzzle, if she complete on average $50$ pieces per hour? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication"
] |
2023-07-07T00:00:00 | 9f1e95f7b0c743fc8509bf8504dcf8e6 | 2 | short_answer | How many consecutive zeros, beginning from the ones digit, are there in $$1 \times 2 \times3 \times4\times5\times \cdots \times14\times15$$? | [
"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 | 7dfcb604b94540d68268987c685cf44e | 1 | short_answer | Grandpa said, "If you divide my age by $$4$$ and then add $$32$$ years, the result is $$22$$ years less than my age." How old is Granpa, in years? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 1c335261c4c74c9da70e62d9e80c84f7 | 2 | short_answer | Students from Think Primary School are arranged in a square array with equal row spacing and column spacing on the playground. The outermost layer of the array is full of boys, and the adjacent inner layer is full of girls, then boys, then girls and so on until the innermost layer is reached. If there are $44$ more boys than girls in total, find the total number of students. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | 949b4d4e3965458786c3c12e4175a6f5 | 2 | short_answer | A snail wants to climb out of a 18-metre burrow. It climbs up 7 metres during the day and slides down certain metres during the night. The snail climbs up only 3 metres out on the 6th day. How high does the snail slide down during the night? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 170205b36dfc4146a66fb3af25081782 | 2 | short_answer | Four students share $$48$$ apples, and each of them gets a postive integer number of apples and the number of apples are different. How many apples did the second stuent get at most? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value in Enumeration Problems"
] |
2023-07-07T00:00:00 | 0d196763e09c414685c93b6925e1fabd | 1 | short_answer | Eddie, Rose, Jack and Mary are being chased by robbers to the riverside. Along the river, there was a boat that could only ferry $2$ people. Eddie takes $1$ minutes to row the boat across the river, Jack takes $2$ minutes, Rose takes $5$ minutes and Mary takes $10$ minutes. What is the shortest amount of time needed for all $4$ of them to cross the bridge?(There must be a person holding the flashlight to illuminate when crossing the bridge. | [
"Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math->Fun Math Problems->Strategies for Crossing River Problems"
] |
2023-07-07T00:00:00 | 70a8c903a8c54590bc01cc6b20324389 | 1 | short_answer | If you increase the length of a rectangle by 12 cm, you will get a rectangle with a perimeter of 38cm. What is the perimeter of the original rectangle? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | e0acffb17f4e422ab27995621048da00 | 0 | short_answer | Work out $641 + 283$ | [
"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 | a395940e0e844a3e82a13464bbacb552 | 1 | short_answer | Calculate: $${{1}^{2}}-{{2}^{2}}+{{3}^{2}}-{{4}^{2}}+\cdots +{{87}^{2}}-{{88}^{2}}+{{89}^{2}}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas-> Difference of Two Squares Formula->Applying Difference of Two Squares Formula Directly"
] |
2023-07-07T00:00:00 | f059162501fb4a40bea57cfdd90f953a | 1 | short_answer | In $$1588$$, an Italian mathematician called Pietro Cataldi discovered that $$2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2-1$$ (in short, $$2^{19} -1$$) is a prime number. When this number is divided by $$5$$, what is the remainder? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder "
] |
2023-07-07T00:00:00 | 0a442caa186a4d35a9cda613970fe659 | 1 | short_answer | I am thinking of a number between $30$ and $40$. When i divide the number by $3$, the remainder is $1$. When I divide the number by $4$, the remainder is also $1$. What number am I thinking of? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | cc80ec556420466ca6feeb07d774bc7f | 1 | short_answer | Four students are arranging themselves in a single line to take a picture together. How many ways can the students line up? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 20d9cd46576c4f6b873a928db5bdaa21 | 1 | short_answer | Jenny has some chocolate, peaches and strawberries, ~she doesn\textquotesingle t eat the same food on the two adjacent days. If she eats chocolate on the first day, how many different ways of eating are there for her over the three days? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Tree Diagrams"
] |
2023-07-07T00:00:00 | 91f9ed36f52f4c4d90e9a09c340e6eda | 1 | short_answer | How many different ways are there to write $8$ as the sum of two positive numbers? $$8 =1+7=7+1$$ is considered $$1$$ way. | [
"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 | e247134ebc8e4290ab2c3cd47fbdb2bb | 1 | short_answer | Almaz spent $$\frac{5}{9}$$ of her salary on a television. She spent $$\frac{3}{4}$$ of the remainder on a table. She had ＄$$160$$ left. How much did the television cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base",
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"
] |
2023-07-07T00:00:00 | 31bc73a765324ee2aad5b0ab3902429e | 2 | short_answer | There are $7$ people sitting around an eight-seater circular table. How many different orders are there for them to sit? (If we can get the same order after rotating the table, then we regard the two orders as the same one.) | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 9aeb348fb18f40a0a779246f193ec03e | 1 | short_answer | Calculate:~$50\div\dfrac{5}{3}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"
] |
2023-07-07T00:00:00 | d7af08f16a30475cbed750f87127cc91 | 1 | short_answer | In $$3$$ years\textquotesingle{} time, the sum of the ages of John and Emma will be $$27$$. Emma\textquotesingle s age is the difference between her own and John\textquotesingle s ages. How old is Emma? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems"
] |
2023-07-07T00:00:00 | 870fd125d6e84d51833e19966e6235aa | 1 | short_answer | A cleaner earns an average of $$$70$$ a day. Find the total amount he earns in a week if he works from Monday to Saturday. | [
"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 | cdebf51b4d2f4676b84de41b5f4dfe1d | 1 | short_answer | How many triangles can be formed by connecting 3 points out of 15 non-collinear points as the vertices? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations"
] |
2023-07-07T00:00:00 | ce3ae2eb22604f669d81413a11524dfe | 1 | short_answer | One quire of paper is equal to $$24$$ sheets. One ream is equal to $$20$$ quires. How many sheets are there in $$2$$ reams? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | d052b96519684cd689b26d905e6932f3 | 1 | short_answer | Tom and Jack drive away from $$A$$ and $$B$$ respectively and go towards each other. Tom travels $$48$$ km per hour and Jack travels $$50$$ km per hour. If Jack left $$B$$ $$3$$ hours later than Tom who drove from $$A$$, and then after another $$5$$ hours, the two cars are $$15$$ km away from each other. Find the distance between $$A$$ and $$B$$. | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | adc18060457c42cd841d26c05a300d86 | 1 | short_answer | Some people were asked to choose a drink. One quarter chose tea. Seven people chose coffee. $$30 \%$$ of them chose cola. The rest chose water. Maya drew a pie chart to show all their choices. The~\textquotesingle Water\textquotesingle{} section has $36^{}\circ$ on her pie chart. How many people took the survey? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 209df8fae20d4538a1d8ebbf630188c1 | 1 | short_answer | The Jones children take their dogs for a walk. There are $$3$$ times as many dogs as children. The total number of legs is $$56$$. How many Jones children are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Grouping Method->Multiples of Feet"
] |
2023-07-07T00:00:00 | 7df5d75f0cda456abe35ca8b128ad0bc | 1 | short_answer | Find $x$ if $5x -- 4 = 26$ | [
"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 | 85433448087948ff8792d3be336da4ba | 1 | short_answer | When two fifths of the class are absent, there are $18$~pupils present. What is the total number of pupils in the class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 48f752c3fb124d0eaef83bcc708662cc | 1 | short_answer | What is the value of $$\frac{10^{5}}{5^{5}}$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers"
] |
2023-07-07T00:00:00 | 11d9dfcd97f84a2b98dac9636f2ac079 | 0 | short_answer | Find the number $$Z$$ such that the following statement is true: $$4\times7 + 5\times7 = Z~ \times7$$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 6bfc77576d4c4d8e990e203ed5df4a98 | 0 | short_answer | When doing addition between integers, it is always easier to calculate the sum or difference between numbers that end with zero. For example: $\begin{array}{l} {}\&{52+67+48} {=}\&{52+48+67} {=}\&{100+67} {=}\&{167} \end{array}$ The same method can be applied to decimal calculations. Can you quickly get the answer of $$5.2+6.7+4.8$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | 1e0626005a234d7b9e16d436c68f0a46 | 1 | short_answer | On Saturday, Judy baked $$5$$ less than four times the number of cookies she baked on Sunday. If she baked $43$ more cookies on Saturday than on Sunday, how many cookies did Judy make on Saturday? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 9838ab9595bb4b7698360b2187706163 | 1 | short_answer | There is a rectangular garden with the length of $$50$$ meters and the width of $$30$$ meters. Now we need to plant trees around this garden every $$2$$ meters apart starting from a corner. How many trees do we need to plant? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Circular Paths->Planting Trees (circular path)"
] |
2023-07-07T00:00:00 | 71a881110b784d499125ce0c2aeceff4 | 0 | short_answer | Katie is $$1.36$$ metres tall. Write her height in $$\text{cm}$$. ~\uline{~~~~~~~~~~}~$$\text{cm}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"
] |
2023-07-07T00:00:00 | f22a2d40173242e9be3791a584a6bb8a | 1 | short_answer | Bill made $$500$$ dollars on his first construction work. He is required to pay $$3 \%$$ for the income tax, how much money can Bill get after paying the income tax? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | dc011b9713364f7faace482d69733c6e | 1 | short_answer | The entry prices at a theme park are: Adult Ticket:~£$20$~ ~ ~Children Ticket: £$15$ A group visited the theme park and were charged £$110$. There were at least two adults. How many children were in the party? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Indefinite Equation Word Problems"
] |
2023-07-07T00:00:00 | 0dd96e7150034b49b6e5114888b623ed | 0 | short_answer | Nigel, Sam and Alisha have $$15$$ sweets. They share them equally amongst themselves and have none left over. How many do they get each? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 285cd6c94bbe4f0097e4b2365352fffc | 2 | short_answer | My special number has a $9$ in the units column. If I remove the $9$ from the units column and place it at the left hand end of the number, but leave all the other digits unchanged. I get a new number. This new number is four times my special number.What is my special number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"
] |
2023-07-07T00:00:00 | 7a18842efc724f239e5f1cad37485c40 | 2 | short_answer | Jamil makes a drink by mixing $1$ part of orange squash with $9$ parts of water. He uses $750$ millilitres of orange squash. Jamil is going to put the drink he has mixed into $1$ litre bottles. Work out the greatest number of $1$ litre bottles that Jamil can completely fill. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | 79f81b8195b2409d9329430d172825a5 | 1 | short_answer | Complete the following: $0.6\times100=180\div\boxed{ \overset{ }{\overset{ }{ }}}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 70e0934ac8904f528788ed9903ea3d65 | 2 | short_answer | Li Yan had some money. She spent $$\frac{1}{3}$$ of it on a book and $$\frac{1}{2}$$ of the remainder on a bag. The book and the bag cost ＄$$132$$ altogether. How much money did she have at first? Below is Thomas\textquotesingle s solution. $$\frac{1}{3}$$ + $$\frac{1}{2}$$ = $$\frac{2}{6}$$ + $$\frac{3}{6}$$ = $$\frac{5}{6}$$ $5$ units = $132$ $1$ unit = $132 \div 5$ = $26$ $6$ units = $26 \times 6$ = $156$ Li Yan had $ $$$156$ at first. Is Thomas\textquotesingle s answer correct? If not, what is the correct answer? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 5387ecceeb914413b67de510e2841de5 | 1 | short_answer | Find the remainder of $${{221}^{2020}}\div 7$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Congruence"
] |
2023-07-07T00:00:00 | 526ef305508f433093616886e3aa2760 | 1 | short_answer | Find the last $$2$$ digits of $$6^{2015} +(2015 \times6) + 2015^{6}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers"
] |
2023-07-07T00:00:00 | 629aa303c06d45f7aa5cf8fa6f9fed98 | 1 | short_answer | ($$2015$$ National Mathematical Olympiad of Singapore, Special Round, Question \#$$18$$)\hspace{0pt}\hspace{0pt} In the following equation, each letter represents a distinct digit. $$5 \times \overline{ABCDEF}=6 \times \overline{EFABCD}$$ Given that $$B=2$$ and $$D=0$$, find the $$4-digit$$ number $$``FACE''$$. | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"
] |
2023-07-07T00:00:00 | dfcff5e4c31f43209c5c33c350232425 | 1 | short_answer | Calculate $736 + 4588$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | 6e22fcfa859a4c8fbb3d505818fcf090 | 3 | short_answer | $$A$$ has fewer than $$90$$ cookies. If $$A$$ puts $$6$$ cookies into each box, she will have $$4$$ cookies left. If $$A$$ puts $$7$$ cookies into each box, she will be short of $$5$$ cookies. How many cookies does $$A$$ have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | a977a5a877be459285ad29a00ee13491 | 1 | short_answer | A number has $$8$$ factors. The first $$5$$ factors of the number are $$1$$, $$2$$, $$4$$, $$7$$ and $$8$$. What is this number? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 997806d0555f4e0b9f0c37e93f8a847d | 1 | short_answer | $8234 -- 909$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"
] |
2023-07-07T00:00:00 | cdd44981698d4cf1892f1b87d1ff7e7e | 1 | short_answer | Write $10$ tens, $35$ tenths and $8$ hundredths in decimal. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"
] |
2023-07-07T00:00:00 | 06a399e8df5e48ef97ce40b3d0ef5589 | 1 | short_answer | The store is selling a product on a $10 \%$ discount. It\textquotesingle s original price was $10$ dollars, what is the price of the product now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | f7fe017b34bc4119bfc266aeef3024e6 | 3 | short_answer | 65\%~ ~65\% of the animals in a farm were cows and the rest were goats. When 240 more cows and goats were added to the farm, the percentage of cows increased by 20\% and the number of goats doubled. How many goats were there in the farm at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 2b33ed6a37234a7f8cfa9077a2c039ba | 3 | short_answer | $$James$$ sold $$1680$$ cookies from a box of cookies in the first month and kept the rest of the cookies. $$James$$ sold~$\tfrac{7}{20}$~more cookies from another similar box of cookies in the second month and kept the rest of the cookies. If the number of cookies $$James$$ kept decreased by~$\tfrac{3}{20}$, how many cookies were there in the box? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->Equalizing products by Grouping"
] |
2023-07-07T00:00:00 | b76888b795364a3a97fa604d5a2de050 | 1 | short_answer | Counting from front to back, Jolene was the $${{6}^{\text{th}}}$$ in a queue. Amy was the $${{8}^{\text{th}}}$$ in the same queue counting back to front. Amy is standing directly behind Jolene in a queue. How many children were in the queue? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of Two Characters in a Line"
] |
2023-07-07T00:00:00 | 0b49d7a40bee40d08e1b699772470e6f | 2 | short_answer | A monkey is jumping from the bottom of a 40-metre tree. It could jump up 5 metres each time, but it would fall down 3 metres after every 2 jumps. How many jumps does it take the monkey to reach the top of the tree? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 48809ae2c3da43959ae3c238acb60f7f | 1 | short_answer | $78.2-31.45+5.24-2.3$= | [
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Decimals->Subtraction of Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | d8a87667da5c4baebedd2e3f7026d5e2 | 1 | short_answer | A number gives a remainder of $$1$$ when divided by $$5$$, a remainder of $$2$$ when divided by $$6$$, and a remainder of $$9$$ when divided by $$11$$. What is the smallest number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 5a602b75179642109bb3448633b148be | 1 | short_answer | There is a regular pentagonal garden with the side length of $$432$$ meters. The owner of the garden wants to plant a sunflower every $$4$$ meters apart. If there is a sunflower on each corner of the garden, at most how many sunflowers are planted in this garden? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Circular Paths->Planting Trees (circular path)"
] |
2023-07-07T00:00:00 | d9935bb2a60f4b2a850a8a82e921285b | 1 | short_answer | Work out $$253\times160$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table",
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table",
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form",
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Operation Strategy in Addition and Subtraction of Rounding Whole Numbers->Rounding in Addition and Subtraction of Whole Numbers"
] |
2023-07-07T00:00:00 | 22fbfe3347ba45c18a5ef712714e7ba8 | 1 | short_answer | A stamp costs $46$p. How many can I buy with £$3$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | c710249ff4704f1da8138f0e161fa751 | 1 | short_answer | At a river bank, $$39$$ adventurers found a rubber boat. The rubber boat can only ferry $$7$$ people across the river at one time. If each trip across the river takes about $2$ minutes, how long will it take to ferry all $39$ adventurers across the river? | [
"Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math->Fun Math Problems->Strategies for Crossing River Problems"
] |
2023-07-07T00:00:00 | 225309bd862241c69715705eee0b6ecb | 1 | short_answer | Ryan plans to drive to London at a speed of $$45$$ miles/hour. However, due to heavy traffic, he only drives at a speed of $$30$$ miles/hour and arrives in London $$2$$ hours late. Find how many hours Ryan drives for at his usual speed. | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | 0c9feee3629744129e6cf814a2834df3 | 1 | short_answer | $$58\times36$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 68fd1201ef784aef8db355b79934af59 | 1 | short_answer | $4!$ means $4\times3\times2\times1$ so $4!=24$ What is the value of~$\dfrac{100!}{98!}$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Operating Directly->Ordinary Type"
] |
2023-07-07T00:00:00 | abaffb07b2a34ab0ae3decd35f783b15 | 0 | short_answer | Fill in the smallest possible digit to make $976\square3$ divisible by $3$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | d5ed58dcfd4f432cbd326fe91855c743 | 1 | short_answer | Calculate this sum quickly. $$3+4+5+6+\cdots +10+\cdots +6+5+4+3$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Pyramid Sequences"
] |
2023-07-07T00:00:00 | 8080bf206efd47819bdd2a2adb6b5fd5 | 1 | short_answer | The number $$3$$ can be split in two different ways by adding positive whole numbers together as follows: $$1 + 2$$ and $$1 + 1 + 1$$ (don't count $$2 + 1$$ as different from $$1 + 2$$). Using the same method, in how many different ways can the number $$5$$ be split? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers->Simple Splitting Numbers->Splitting Numbers (without requirement)"
] |
2023-07-07T00:00:00 | 17a4a261e09e46b188ed0705441570df | 3 | short_answer | In a number sequence, the first integer is $$3$$, the second is $$10$$, and starting from the third integer, each integer is the sum of the two integers directly in front of it. What is the remainder when the $$1997^{\text{th}}$$ integer is divided by $$3$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | ae54342caaed4120ac02a509fa3bcd4b | 1 | short_answer | Practice your skills with the calculator! Determine $\frac{\frac{4.219^{2}}{4\frac{2}{3}+\frac{38}{59}}}{2.501^{3}}$. Round your answer off to $3$ decimal places. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Rounding Numbers"
] |
2023-07-07T00:00:00 | f96fd22abee24d948addde2c9760bc8c | 2 | short_answer | Mr.Lim wants to share some sweets equally among his students. If he is to give each student $$6$$ sweets, he will be short of $$26$$ sweets. If he gives each student $$5$$ sweets, he will be short of $$5$$ sweets. How many sweets are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Basic Distribution Problems"
] |
2023-07-07T00:00:00 | 3334f8ae569c45baaf836319780cb315 | 1 | short_answer | In ThinkAcademy Kingdom, there are $$8$$ trees that grow along a side of a river. The trees that are neighbouring with each other will grow a different number of fruits. The difference in the number of fruits between two neighbouring trees will always be $$1$$. It it possible for the sum of the number of fruits for these $$8$$ trees to be $$225$$? If yes, please find out the equation. If not, please explain why. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"
] |
2023-07-07T00:00:00 | e69cb84fa1d949ac908e9ed3436bc342 | 1 | short_answer | Amin baked $$329$$ cookies. Amin baked $$97$$ cookies less than Jessica. Jessica baked $$58$$ more cookies than Mary. How many cookies did Mary bake? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"
] |
2023-07-07T00:00:00 | 22e39fcf09374deb821fcf3cbc39e4ff | 1 | short_answer | A uniform shop sells $6$ times as many white shirts as blue shirts. $63$ shirts are sold in total. How many white shirts are sold? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple->Sum and Multiple of Two Variables"
] |
2023-07-07T00:00:00 | f9cc7112db0e48c1af2b41cc821ce516 | 1 | short_answer | Leo says to his son:~"When I was your age, you were $4$ years old." His son replies: "When I reach your age, you will be $70$ years old." What is the age of Leo this year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->When..., When... Type Age Problems"
] |
2023-07-07T00:00:00 | 9676e5c5b2c94dcb884bf421cb85baac | 1 | short_answer | The cost of a blouse and a dress is ＄$$41$$. The cost of $$4$$ similar blouses and $$3$$ similar dress is ＄$$140$$. Find the cost of a blouse. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | 3d6aad1e230e440c976aa9835888e9af | 2 | short_answer | An evening party has $4$ singing and $3$ dancing performances. Tom is deciding the order of these performances. If he wants to put at least $1$ singing performance between every $2$ dancing performances, how many different ways are there for him to arrange these performances? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | c89438cf2e854b8b8d9e6b61f27fb988 | 1 | short_answer | Heidi is $$8$$ years old this year and Dad is $$50$$ years old this year. How many years later will Dad\textquotesingle s age be $$4$$ times that of Heidi\textquotesingle s age? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | e1a30b1c30584a4ea62ce04ddf2a119b | 1 | short_answer | Sharon can type 48 words in 6 minutes. How many words can she type in 9 minutes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | 2ec36757265f4822937a114644d2af76 | 1 | short_answer | Work out $554 + 479$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | 85f65609913d484fa252445d1bb3a6eb | 1 | short_answer | How many zeros does the number $$1\times 2\times 3\times \cdots \cdots \times 59\times 60$$ end with? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->The Number of Zeros at the end of a Product"
] |
2023-07-07T00:00:00 | ae68a40584044249b59fcd754b0a9ab9 | 1 | short_answer | The average of three numbers is $120$. When a fourth number is added, the average of the four numbers becomes $150$. What is the fourth number? | [
"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 | 062ee4a4b00f4be6ab03b9ae62d86a14 | 1 | short_answer | What number goes in the box? $\square\times15=11\times14+26$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 250bdd97084e4457a18b42026735d9a3 | 1 | short_answer | Given that $216r$ is a square number, determine the value of $r$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers"
] |
2023-07-07T00:00:00 | d8532843d2c7486ea637674a0198cac2 | 1 | short_answer | Solve~~$\dfrac{y}{4}=10.5$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Fraction and Decimal Coefficient"
] |
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