dataset_version
timestamp[s] | queId
stringlengths 32
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 | 2d35f2e1d3d34ffbb28a8cebae92c23e | 1 | short_answer | A security guard has mixed up all the $$11$$ keys to different rooms. At most how many times must he try the keys in order to match each key to the correct room? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | b764a882e0bc414689dc39fd81aaa3f1 | 1 | short_answer | Alice, Bernice and Cindy had a total of $$1792$$ beads. Bernice had $$240$$ more beads than Alice. Cindy had $$100$$ more beads than Bernice. How many beads did Alice have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 0de428143ddc41079e76fd4ffbe23365 | 1 | short_answer | Dividing a number $n$ by $2$, $3$, $4$, $5$, leaves remainders $1$, $2$, $3$, $4$, respectively. The smallest possible value of $n$ is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem"
] |
2023-07-07T00:00:00 | d4e1d8676a734ecc80b7b6a843595692 | 1 | short_answer | Richard scores $$84$$ out of $$120$$ in a test. What percentage did he get in the test? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Knowing Fractions"
] |
2023-07-07T00:00:00 | 70c25992de344a84b58dad3b24775a9b | 1 | short_answer | How many different four digit numbers can be made from the digits $$2$$, $$2$$, $$2$$, $$3$$ and $$3$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering->Forming Multi-Digit Numbers->Forming Numbers by Picking Cards"
] |
2023-07-07T00:00:00 | 752e5759eb7140ecb85296bce9368f6d | 1 | short_answer | （$$2017$$ Pei Chun Public School, Holistic Assessment $$1$$, Primary Three, Question \#$$10$$） The sum of two numbers is $$3009$$. The greater number is $$1722$$. What is the difference between the greater number and the smaller number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 9b1cb8dd1d064db29dc7e2d464d99ce8 | 1 | short_answer | A cat, her $$4$$ kittens and their cat basket altogether have a mass of~$6\dfrac{1}{2}$ kilograms. The cat basket has a mass of $$500$$ grams. Each kitten has a mass of $$0.6$$ kilograms. What is the mass of the cat? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight",
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | c3e11e75704c400fa620bd26e3fb5ccc | 1 | short_answer | Write~$\dfrac{412}{1000}$ as a \textbf{decimal} | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Fractions into Decimals"
] |
2023-07-07T00:00:00 | 8b508f3a63af42fc89337bb741587d2a | 1 | short_answer | Buzz, Woody, Ham , Rex, Slinky and Mr Potato Head went to the cinema. They spent $￡33$ on tickets and ~$￡20.40$ on food. They shared the cost equally.How much did each have to pay? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 4787ee3647b6493ebaa57cbbe430a914 | 1 | short_answer | Sue sold donuts for $4$ dollars each before, then she decides to increase the price of donuts by $20 \%$. What is the price now? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 01fcd86ba34343e3abb3f7ccb88315bf | 1 | short_answer | Mary has three brothers and four sisters. If they, and Mary, all buy each other an Easter egg, how many eggs will be bought? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | ff9990049fcc49a0a8417652c96375b8 | 1 | short_answer | John left home for work at $7:50$ in the morning and arrived at work at $8:40$. How long did the journey take? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem"
] |
2023-07-07T00:00:00 | 59b6fc93c0364f6fab328fca8f96a25e | 0 | short_answer | \textbf{$$n$$~}is the number for which $$3\times n\times6=72$$. \textbf{$$n=$$~\uline{~~~~~~~~~~}~} | [
"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 | e56f53a819d843a4ac3977912faff7e1 | 1 | short_answer | Three apples and a banana cost $32$p. Six apples and a banana cost $53$p. How much does one banana cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems->Solving Problems by Solving System of \nBinary Linear Equations with Integer Coefficients "
] |
2023-07-07T00:00:00 | cc4d6508bfc94140bc674ed22aab0fb3 | 1 | short_answer | Here is a number sequence. Write in the missing number. $$3$$~ ~ ~ ~ $$6$$~ ~ ~ ~ ~$$10$$~ ~ ~ ~ ~$$15$$~ ~ ~ ~ ~$$\square$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Two Grade Arithmetic Sequences"
] |
2023-07-07T00:00:00 | ffe4e2fccc06432695daf3045845a872 | 3 | short_answer | Samuel spent~$\tfrac{1}{6}$~of his money and an additional $$$5$$ on a DVD. He then spent~$\tfrac{2}{5}$~of his remaining money and an additional $$$12$$ on a number of magazines. If he had $$$24$$ left, how much money did he have at first? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 4c14bb3f346248288c5863e88eba5a22 | 1 | short_answer | After spending $$\frac{1}{5}$$ of her money on a handbag and $$\frac{3}{5}$$ of her remaining money on a dress, Joanne has $$$80$$ left. How much money did Joanne have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 374ef3bc7e0a42419bf59b665a1e8df4 | 1 | short_answer | A barrel has $$47$$ ℓ of oil. $$5$$ ℓ of oil from the barrel was poured into a bottle. The rest was poured equally into $$6$$ tanks of the same size. What was the volume of oil in each of the containers? The volume of oil in each container was~\uline{~~~~~~~~~~}~ℓ\textbf{.~} | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 293a4c45646547c38aa5f707c907ac82 | 1 | short_answer | Johnny\textquotesingle s grandpa was $72$ years old this year. Johnny is $8$ years old. In how many years will his grandpa\textquotesingle s age be $5$ times of his age? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 9fec34e2fa3e48e3b534a4a88195f5ba | 1 | short_answer | Pip was the $${{8}^{\text{th}}}$$ in a queue counting from front to back. Bud was the $${{10}^{\text{th}}}$$ from the end of the queue. Pip is in front of Bud, and there were $$4$$ children between them, How many children were there 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 | e757d8a583d44579823d7d3329dd4962 | 1 | short_answer | Bob has $$15$$ more Match Dfex cards than Alan. Colin gives Bob $$25$$ cards. Bob now has $$3$$ times as many as Alan. How many has Alan got? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple->Differences and Multiples of Two Variables->Indirect Difference and Multiples of Two Variables"
] |
2023-07-07T00:00:00 | 2557fa802eef44bc834d1a8106a622e5 | 1 | short_answer | Michael borrowed $2,000$ dollars. The interest on the loan was compounded annually for $3$ years, and the interest rate remains the same. After $3$ years, Michael owed $2,519.42$ dollars. What was the interest rate? ( $1.079^{3} \approx 1.25971$ and $1.058^{3}\approx 1.18429$; round the result to the nearest tenth of a percent) | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | b70ebf97614545e8a65cd9169021bb74 | 1 | short_answer | Ivan lists down all whole numbers from $$1$$ to $$50$$. Melvin selects all odd numbers and adds them up. Monica selects all the even numbers and adds them up. What is the difference between Monica\textquotesingle s and Melvin\textquotesingle s sums? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 8c7b9411bbb04086ab07eacadf5afd5e | 1 | short_answer | Multiply $$193$$ by $$72$$. | [
"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 | 215e1d378ffe437ba1c9ccb1e8aee393 | 1 | short_answer | Janice needs to buy oranges for several elderly. If she gave $20$ oranges to each elderly, $10$ elderly will not receive any oranges. If she gave $16$ oranges to each elderly, she would have enough oranges to pack $25$ boxes of oranges, each containing $2$ dozen oranges. How many oranges should Janice give to each elderly so that she gives out all her oranges and that each elderly receives the same number of oranges? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | bc4291892b8945d4b66ab1f2b66dcee3 | 1 | short_answer | Given that $$m\textasciitilde\Delta\textasciitilde{} n=5m+3n$$, and $$x\textasciitilde\Delta \textasciitilde9=37$$. What is $x$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Operating Directly",
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Unknowns Using the Given Operations"
] |
2023-07-07T00:00:00 | ad306d1a04ac4d08a086e821e61e24be | 1 | short_answer | There are $$5$$ blue balls, $$4$$ orange balls and $$2$$ yellow balls in a bag. Sheila will be blindfolded before she takes the balls out, one at a time. How many balls must Sheila take out in order to be sure she gets $$4$$ balls of the same colour? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 1dc5079dba0a4447af8a598e73c3cbd8 | 1 | short_answer | The train from Peterborough to Edinburgh takes $$3$$ hours and $$50$$ minutes. Last Thursday, Meera arrived in Edinburgh at $$11.15\text{am}$$, and her train ran exactly on time. At what time did her train leave Peterborough station? Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | 7a7da228cc224c7b93f5a155d88b34d8 | 1 | short_answer | A wheel barrow weighs $31\text{kg}$~when full of soil. Jill removes~$\dfrac{1}{5}$~of the soil from the wheel barrow and it now weighs $27\text{kg}$. What is the weight of the wheel barrow when it is empty? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 2f184eae91df42e18de5b645882a1cc1 | 3 | short_answer | $\tfrac{1}{6}$~of $$Tim\textquotesingle s$$ cookies were equal to~$\tfrac{3}{8}$~of $$Tyler\textquotesingle s$$ cookies. After $$Tyler$$ sold $$96$$ cookies, $$Tim$$ had $$9$$ times as many cookies as $$Tyler$$. How many cookies were there at first? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->Equalizing products by Grouping"
] |
2023-07-07T00:00:00 | f4a9a527d7144792b53639888c6da554 | 3 | short_answer | Sally had some cupcakes. She had $72$ more chocolate cupcakes than vanilla cupcakes. She had $36$ lesser blueberry cupcakes than vanilla cupcakes. After selling $\dfrac{1}{6}$~of the chocolate cupcakes, $\dfrac{2}{3}$~of the vanilla cupcakes and $\dfrac{7}{9}$~of the blueberry cupcakes, Sally is left with $427$ cupcakes altogether. How many chocolate cupcakes did Sally sell? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | b32f8f344d984bb382e4fb73887230ab | 1 | short_answer | At a railway station there are two platforms. At one platform, trains leave every $$24$$ minutes and at the other every $$30$$ minutes. If trains leave both platforms at $$9$$ a.m. what time is it when trains next leave both platforms at the same time? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | f1389cbcaf72480d9657232ad57f5bec | 1 | short_answer | Jenny is doing a maths exam and scores $$136$$ out of $$214$$. How many marks did she miss out on? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 4c5e47c0c616449c92a2b06408c58928 | 1 | short_answer | If $24$ gallons of water are poured into an empty tank, then $\dfrac{3}{4}$~of the tank is filled. How many gallons does a full tank hold? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | a558f6a1623e42cca6fbc286a7fa522e | 1 | short_answer | The sum of the ages of $4$ children, Anu, Benu, Chris and Dave is $20$. Dave is $5$ years older than Chris, and $3$ years older than Benu. Anu is $3$ years younger than Chris. How old is Anu | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems->Basic Sum and Differences Problems in Age Problems"
] |
2023-07-07T00:00:00 | 620fcfd4b5dc4851a21f52802f067616 | 3 | short_answer | A box contains some red marbles and white marbles. The ratio of red to white marbles in this box is $3:2$. Pip puts some red balls into the box, and the ratio of red to white balls becomes $5:3$. Then Bud puts some white balls into the box, and the ratio of red to white balls becomes $5:4$. Given that the number of balls put by Bud is $100$ more than the number of balls put by Pip. How many white balls are there in the box at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 87c44b7f86fe43459f5e47d26f57a64a | 1 | short_answer | Fill in the blanks. $a\div8=\Delta R6, b\div8=\nabla R7. Then the remainder of (a+b)\div8=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder "
] |
2023-07-07T00:00:00 | 6d2040f88fa04f798b4a1705445cb70b | 1 | short_answer | Mark is $3$ years older than David. The sum of their ages is $89$. How old is Mark? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems->Basic Sum and Differences Problems in Age Problems"
] |
2023-07-07T00:00:00 | 7a743410e3e345b999a0951be98a6199 | 1 | short_answer | Jessica\textquotesingle{} s and Judy\textquotesingle{} s desks are adjacent to each other in a column. Jessica sits in front of Judy. Given that there are $$5$$ desks in front of Jessica\textquotesingle{} s and $$7$$ behind Judy\textquotesingle{} s, how many desks are there in the column? | [
"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 | 85bee46ebede4627b0afc4c7e6181e1d | 1 | short_answer | Lara wrote down a number sequence: $$2$$，$$3$$，$$4$$，$$\cdots \cdots $$，$$54$$，$$55$$，$$56$$ The digit "$6$" in the number "$56$"~is the~\uline{~~~~~~~~~~}~digit she wrote. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 4afd36119b724be1826c3ac3454d6dba | 2 | short_answer | The average weight of the people in a group was calculated. Aaron, who weighs $$45\text{kg}$$, joined the group and the average changed to $$61\text{kg}$$. Then Ben, who weighs $$71\text{kg}$$, joined the group after Aaron. The average changed to $$62\text{kg}$$. What was the average weight of the group before Aaron and Ben joined them? | [
"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 | 92dd78baf86e411d93098d70392d8777 | 1 | short_answer | $2.507 + 13.49$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | 8f0cf923121b43fb96d737a8fba5bd2f | 1 | short_answer | Agnes has $5$ fewer apples than George. Jack has thrice as many apples as George. If they have a total of $55$ apples, how many apples does Jack have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | 22842fb942f54d6e8ba1e02bb2901a77 | 1 | short_answer | There are some balloons in the classroom. The number of red balloons is $$3$$ times that of yellow ballons. There are $$57$$ red balloons. How many yellow balloons are there in the classroom? $ $ $ $ $ $ $ $ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Questions Involving Varying Multiples"
] |
2023-07-07T00:00:00 | fcd9ab9940e142e0b0a968d0d5e14a94 | 1 | short_answer | There are $$1991$$ white balls and $$1000$$ black balls of the same size in Bag A. Ming simply takes 2 balls from Bag A and put them outside. If two of the balls are of the same colour, Ming will take out one Black ball from Bag B and it back to Bag A. If two of the balls are of the different colour, Ming will put the white colour ball back to Bag A. Question: How many balls are left in Bag A after Ming takes $$2989$$ balls out from Bag A? What color are they? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"
] |
2023-07-07T00:00:00 | 3ae41e17112a464fa38fa87aa1753aeb | 1 | short_answer | Fill in the missing digits in this multiplication. What is the product?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles"
] |
2023-07-07T00:00:00 | 1cae0bc768934c11a33a33e0df128753 | 0 | short_answer | Work out $$428-244$$. | [
"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 | c2f74cd9163744c0b6071601b66266d4 | 2 | short_answer | Six people can build a bridge in $15$ hours. How many people are needed to build the bridge in $2$ hours? (Assume that all people build at the same rate) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems"
] |
2023-07-07T00:00:00 | 79e15e6ed353495ba1c745aa3360ff9c | 1 | short_answer | What is the sum of the first $$40$$ whole numbers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression"
] |
2023-07-07T00:00:00 | 46bcd0c64033467eaa6a8102289e0a41 | 1 | short_answer | Emily bought 195 cakes for the party and each cakes costs £46. How much does she spend for cakes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | 08705e45e80047af971fb071b94f2dd8 | 1 | short_answer | $n$ is the number of centimetres in $2.1$ metres. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"
] |
2023-07-07T00:00:00 | ce902dc0e38d427eb9cd68b799e3bcaf | 1 | short_answer | Harry is given £$30$~for his birthday. He used it to buy a bag of sweets for £$3.99$, a magazine for £$2.50$~and some stickers for~$70\text{p}$. He then goes into a restaurant and orders a £$10.99$~pizza to share with his friends, together with four glasses of orange juice for £$1.50$~each. How much change does he have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | dd3337cf8b074877bdba86538785b68b | 1 | short_answer | How many different ways are there to rewrite $5$ as the sum of two or more non-zero natural numbers? | [
"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 | d7edf824287e4a788997a750d1c998c7 | 2 | short_answer | A $$3$$-digit integer is called a \textquotesingle good-number\textquotesingle{} if the hundreds digit is two less than the units digit. How many $$3$$-digit \textquotesingle good-numbers\textquotesingle~are there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers"
] |
2023-07-07T00:00:00 | 044e10e45e8f4f60ae3f9ce39d3f3cf8 | 1 | short_answer | The total mass of Mr Han and his daughter is $$91.2\text{kg} $$. His mass is $$3$$ times as much as his daughter\textquotesingle s mass. Find the mass of Mr Han. | [
"Overseas Competition->Knowledge Point->Calculation Modules",
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Mixed Operations->Mixed Operations of Multiplication and Division of Decimals"
] |
2023-07-07T00:00:00 | cc66cd3f11294d1984b5cf049794398d | 3 | short_answer | Somi gave $80 \%$ of her chocolates to her students and $\frac{2}{5}$ of the remaining chocolates to her children. If she had $$108$$ chocolates left, how many chocolates did she have at first? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | f74c213339b0455a9cf262e2e789bcee | 1 | short_answer | Calculate: $${{100}^{2}}-{{99}^{2}}+{{98}^{2}}-{{97}^{2}}+\cdots+{{2}^{2}}-{{1}^{2}}$$． | [
"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 | 4a61def62aa04793872f134a2ee581fc | 1 | short_answer | Three students are in an election. Twenty-five votes are cast. Samantha has more votes than anyone else. What is the least number of votes she could have? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | 3973a8cd4ae64cb8a964980f72c023df | 1 | short_answer | Freda has a large bag of coins, containing lots of $$1$$p, $$2$$p and $$5$$p coins. How many different totals can she make using exactly $$3$$ coins? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration->Ordered Enumeration"
] |
2023-07-07T00:00:00 | 7dfb05a6c32a4880b5ff66c479e32727 | 1 | short_answer | $$2 + 3 \times (3 + 2) =$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 2aa1e0027a284c64a861b8e60942d889 | 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 | 250e63b1521b424d9f6cf44f8f79623b | 1 | short_answer | Solve the equation below : $$4x+7=5(x+1)$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 2c1618650feb43ee829f8c60f37d6d85 | 2 | short_answer | Naoby invests £$6000$ for $5$ years. The investment gets compound interest of $x \%$ per annum. At the end of $5$ years the investment is wort £$8029.35$ Work out the value of $x$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | c7536ec02a28451588a7654fe8fdcb94 | 1 | short_answer | $$291$$ digits have been used for printing the page numbers of a book. How many pages does the book have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 71a5e420be854536b851bfc6431ef442 | 1 | short_answer | Express $$\frac{13}{25}$$ as a percentage. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions"
] |
2023-07-07T00:00:00 | 1e18650a928a4a8aaa9433e3d4f8bdbf | 1 | short_answer | Write $2.4\text{kg}$~in~$\text{g}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight"
] |
2023-07-07T00:00:00 | 54ed486695084b83bc52e1acf3621c39 | 1 | short_answer | The Think Academy spent $$ $1500$$ to buy new furnitures. Of this money, $$ $360$$ was used to buy new chairs. What percent of the money was spent on chairs? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 58827db30bfe41e3aa8887dbbf840403 | 3 | short_answer | Clarice is reading a magazine. The number of pages she has read to the number of pages she has not read is $$1 : 5$$. If she reads another $$80$$ pages, the number of pages she has read would become $$70 \%$$ of the total number of pages. How many pages are there in the magazine?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures->Change of Quantity"
] |
2023-07-07T00:00:00 | c113a7ebab824fa5aff9432d5ba4e66a | 1 | short_answer | Vivi and CC competed in a road safety quiz. They agreed on the following rules: a person got $10$ points for a correct answer and lost $5$ points otherwise (getting a wrong answer or skipping a question). They each answered $10$ questions and together got $95$ points. If Vivi got $15$ more points than CC, how many questions did CC answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | d6a8e2b1fe0b4d46b18689b12ef527f6 | 1 | short_answer | Mr Toh bought $$2$$ similar books and $$3$$ similar magazines for $$ $24.90$$. $$1$$ such book and $$1$$ such magazine cost a total of $$ $10$$. How much did $$1$$ magazine cost? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money",
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Mixed Operations->Mixed Four Operations of Decimals"
] |
2023-07-07T00:00:00 | 86483a83b8a641b3802d1bcfe3db3b99 | 2 | short_answer | 6 teachers and 45 girls went on a school trip. There were 5 girls in each room. The 6 teachers slept in 3 rooms. How many rooms did the group use altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 96bead80155a4a23ba5e189d220a2750 | 1 | short_answer | To make enough cake for $$15$$ people, $$650\text{g}$$ of flour is needed. What weight of flour would be needed to make enough cake for $$18$$ people? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 71c301ca64c3481fa3c4d9fbd27b071f | 1 | short_answer | A cinema ticket is £$6.34$ for adults and £$4.75$ for children. How much would it cost a family of $2$ adults and $3$ children to all go to the cinema? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 8d63b90682ef4e86a52c8d41e221e99e | 2 | short_answer | The number $$2581953752$$ is written on a strip of paper. Jenny cuts the strip twice and gets $$3$$ numbers. Then she adds these $$3$$ numbers. What is the smallest possible sum she can get | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value in Enumeration Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 41e9b6cd168c41fd92de334d68528b9e | 3 | short_answer | （AMC 2021 Question \#30） e sum of two numbers is 11.63. When adding the numbers together, Oliver accidentally shifted the decimal point in one of the numbers one position to the left. Oliver got an answer of 5.87 instead. What is one hundred times the difference between the two original numbers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 5286b8a162984ebd83b4dc18a0895e9d | 1 | short_answer | How many metres ($\text{m}$) is $7000000\text{mm}$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"
] |
2023-07-07T00:00:00 | 982b7c2099ae4cbbbf15acf185975676 | 1 | short_answer | The ratio of members in the science club to members of the literature club is $$9:10$$. The ratio of members in the literature club to members in the math club is $$5:7$$. Given that all three clubs have a total of $$99$$ members, how many more members are in the math club than the literature club? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | 2428c63651de4a9cb4a9fd440dd72a13 | 1 | short_answer | A division gives a quotient of $$12$$ and 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 | e429d1f710e0443ca3e34ebd54ce1999 | 1 | short_answer | Benny has $$4$$ blue marbles, $$3$$ yellow marbles and $$1$$ red marble in his pocket. Without looking into his pocket, how many marbles must be taken out from his pocket to be sure he gets $$3$$ marbles of the same colour? | [
"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 | a01e320335ab4dd5a4d3902f2010b2ab | 1 | short_answer | When Melissa was $$8$$ years old, her mother was $$32$$. Now, Melissa's mother is three times as old as Melissa. How old is Melissa now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Differences and Multiples in Age Problems"
] |
2023-07-07T00:00:00 | 60cc013cce3f4dc3889d6f7f58af72a5 | 1 | short_answer | Every side of a square handkerchief is embroidered with $$6$$ flowers. A flower is embroidered at each of the four corners. How many flowers are there on the handkerchief altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Circular Paths"
] |
2023-07-07T00:00:00 | d67e4c58bf394611abfd4c9f92360478 | 0 | short_answer | List all the factors of $$48$$. How many of these factors are even numbers?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | 27557b6401534a719cdf0923343a5978 | 1 | short_answer | A rope has length $10 \text{m}$. Nadia cuts off pieces of length $4.8 \text{m}$~and $2.73 \text{m}$~so that there are now three pieces. Work out the difference in length between the longest and the shortest piece of rope that Nadia now has. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | fa6f1ecf65574a4f92806a9db2ff7aa4 | 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 | 0ee683d386944878b9a97b21d30b9512 | 1 | short_answer | $$5$$ similar basketballs and $$6$$ similar volleyballs cost ＄$$325$$. A basketball costs ＄$$10$$ more than a volleyball. What is the price of a basketball? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 0d0aa1e9d4534f37bbbcb05df00921eb | 1 | short_answer | The pattern $$123412341234\ldots{} $$ is continued to form a $$47$$-digit number. What is the sum of all $$47$$ digits? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Sequence Operations->Period of Numbers"
] |
2023-07-07T00:00:00 | f1695ae843b54e2e815cd446c64a29f4 | 1 | short_answer | $6$ bottles of spring water cost £$2.52$. How much do $9$ bottles cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | d042bcbac05b43a89ee5aae713200f24 | 1 | short_answer | The average number of pencils owned by the boys and girls in a class is $$35$$. The average number of pencils owned by the boys is $$20$$ while the average number of pencils owned by the girls is $$60$$. If there are $$40$$ pupils in the class, how many boys are in the class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | e886e230e9a14129ab9efc5f51fc6eeb | 2 | short_answer | In a math test, there were $$25$$ problems. Each correct answer earned $$4$$ points and $$1$$ point was deducted for each incorrect answer. No points were added or deducted if a problem was not answered. Both Jack and Johnson obtained $$61$$ points each, but Jack answered more questions correctly than Johnson. How many problems did Jack $$\rm NOT$$ answer? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Indefinite Equation Word Problems"
] |
2023-07-07T00:00:00 | cb28d5923791411abd5c48b4c2e56055 | 1 | short_answer | $$\overline{ab}$$ is a $$2$$-digit number. Given that $$8\overline{ab}=3\overline{ba}$$, find the value of $$\overline{ab}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases"
] |
2023-07-07T00:00:00 | 70a735430d5b4777a79bbddaf2823ef0 | 1 | short_answer | Kate is ordering cupcakes online for the party tonight. The Bakery prices cupcakes according to the number of cupcakes ordered. For orders of $20$ or fewer cupcakes, the price is $4.50$ dollars per cupcake plus $12$ dollars shipping and handling on the order. For orders of more than $20$ cupcakes, the additional cupcakes over $20$ will recieve a $20$\% discount. Given that Kate\textquotesingle s bill is $120$ dollars, how many cupcakes does she order? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Segment Pricing"
] |
2023-07-07T00:00:00 | 2760fd70b00d4bc1bbb33c4a1176ce49 | 1 | short_answer | A farmer wants to buy some pigs and some goats. The farmer is told that $3$ pigs and $1$ goat will cost a total of £$440$, and also that one $1$ pig and $2$ goats will cost a total of £$280$. The farmer decides to buy $5$ pigs and $5$ goats. How much will he pay? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 8d9f841035384ec78cd71c7adbc51cf2 | 1 | short_answer | £$1.28+57\text{p}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money"
] |
2023-07-07T00:00:00 | e42cc648c3f649cf90ee902c4be9e740 | 0 | short_answer | Find the value of □: $\frac{{15}}{{□}} = \frac{1}{3} $，□=~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions"
] |
2023-07-07T00:00:00 | 1f17462588b24d4d87e7ac26ce8e297e | 1 | short_answer | What $$5$$-digit number has the following properties: If we put the numeral $$1$$ at the beginning, we get a number three times smaller than if we put the numeral $$1$$ at the end of the number? In other words, if you think the answer is the number $$34567$$, then you want the number $$134567$$ to be one third of $$345671$$, but it isn\textquotesingle t, so what\textquotesingle s the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | 5b2be8c5931d445e95f69e4a169b6320 | 1 | short_answer | Find the value of $$A$$ in the following equation. $$2+\frac{1}{2+\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{A}}}}=\frac{64}{27}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | f29bca0ca85649a0aa278151d40c1060 | 1 | short_answer | Rose is waiting in line to get on a bus. There are $$9$$ people in front of her. Counting from the back, she is in the $$12$$\textsuperscript{th}~place. How many people are there in total lining up? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | ad987dbb1afa406d877032905dfd4b9e | 1 | short_answer | It takes two decorators 6 days to paint a house. One is lazy and one is energetic. The energetic one could paint the house in $$10$$ days on his own. How many days would it take the lazy one to paint the house on his own? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems->Finding the Productivity of the Team Given the Personal Productivity"
] |
2023-07-07T00:00:00 | c2a4472f1dcc4adaa002fb9b0cdbc480 | 1 | short_answer | John is $$8$$ years old now. His grandmother is $$42$$ years older. What will be their total age in $$2$$ years\textquotesingle{} time? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems"
] |
2023-07-07T00:00:00 | af15f396b0a9452e90cd92024ee3655d | 1 | short_answer | John thought of a number. He added forty-five and then divided by three. The result was the same as when multiplying the original number by two. What number did John think of? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
Subsets and Splits