dataset_version
timestamp[s] | queId
stringlengths 32
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stringclasses 5
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stringclasses 1
value | problem
stringlengths 6
2.89k
| knowledge_point_routes
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 6b573c8aa446405c9ce58ca024a8db57 | 1 | short_answer | Calculate $$\frac{5}{8}$$ of $$4000$$ Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 3b599d1537964d4d8232681ee0808bca | 1 | short_answer | Lampposts are placed at every $8$m along a road. There is a lamppost at the start of the road and another one at the end of the road. There are a total of $113$ lampposts along one side of the road. How long is the road? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 67f220877e984c29ad61b7f41c214535 | 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 | 48554051f2e24553a7af8d7920ec5816 | 1 | short_answer | In a class of $$40$$ pupils, $$14$$ failed the physical fitness test. What percentage of the class failed the test? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate"
] |
2023-07-07T00:00:00 | 5f04cbde7c154926a18bd9d4d73e17bf | 2 | short_answer | A certain book has its pages numbered from $$1$$ to $$50$$. Then any page number that contains the digit $$3$$ is entirely erased. What is the sum of all of the numbers that were erased? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration",
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 66221e9a8b3746c485f75a9f4a5d0ddb | 1 | short_answer | A pasta restaurant offers a menu that allows customers to choose from $$4$$ types of pasta, $$3$$ types of sauces and $$3$$ types of toppings. Kylie has to choose one pasta, one sauce and one topping. How many different combinations can she make? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Questions Involving Permutations and Combinations "
] |
2023-07-07T00:00:00 | 7ef36b5f0f06421e85d5adcf3d61a56c | 1 | short_answer | The new school warden has mixed up all the $$10$$ keys to different classrooms. At most how many times must he try the keys in order to match each key to the correct classroom? | [
"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 | a54ae46dec7f42e29795d23b9ef90715 | 1 | short_answer | What is the difference between the largest and smallest of these numbers $$0.89$$~ ~ ~$$0.9$$~ ~ ~$$0.17$$~ ~ ~$$0.72$$~ ~ ~$$0.73$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 5ffbee4470f04187ad886c281d595cc1 | 1 | short_answer | Party poppers are sold in bags of $$12$$. Anna and Alfred bought just enough bags of poppers so that all $$153$$ guests at their birthday party could have one. How many poppers were left in the last bag? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 8523b28be59d40be8d747baa32fe31b2 | 1 | short_answer | What is the ones digit of~$\underbrace{7\times7\times7\times\cdots\times7\times7\times7}_{{2023 sevens}}$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems"
] |
2023-07-07T00:00:00 | 66eeed32cf3f4adc8bdbd45de1710156 | 1 | short_answer | Using a calculator, evaluate the following expression and round off to the nearest $3$ decimal places: $\frac{\sqrt[3]{-13.\dot{3}}\times4.\dot{0}\dot{9}^{2}}{59.24-\sqrt{11.\dot{1}}}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | d6c0469e3c2e4cf7ada3a095234ebb1c | 2 | short_answer | ``$$123456789101112\cdot \cdot \cdot 2930$$'' is a number. If we remove 46 numbers to form a new number that is not 0, the smallest number we can get is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"
] |
2023-07-07T00:00:00 | 5e5e594f0cb646f382c3348317a05dec | 1 | short_answer | Find the\textbf{~}largest three-digit number that has a remainder of $3$ when divided by $5$, a remainder of $2$ when divided by $6$ and a remainder of $1$ when divided by $7$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | e47aa6dbf96a4f8f919752049304b476 | 1 | short_answer | A number is called a palindrome if it reads the same backwards as forwards. For example, $$13931$$ is a palindrome. What is the difference between the least $$5$$-digit palindrome number and the greatest $$6$$-digit palindrome number? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems"
] |
2023-07-07T00:00:00 | dd388341dc404def898b956143854ae5 | 1 | short_answer | Pick $$2$$ from $$10$$ children to take part in an interview. How many different combination(s) is/are there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | f189c3cfa2ce4635aec8a32b63b8d264 | 1 | short_answer | Three quarters of a local tennis club are girls. There are $$20$$ boys in the club. How many girls are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base",
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 4f5cb4eaf89140bd9217b1719727dd6c | 1 | short_answer | $32- 15 = 12 +$■ What is the value of ■? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"
] |
2023-07-07T00:00:00 | adb16ed119df40bda080aaed7ef8ac1b | 1 | short_answer | Ellie pays £$$1.50$$ for $$2$$ bananas and $$3$$ apples. Beth pays £$$1.45$$ for $$3$$ bananas and $$2$$ apples. How much does Annabella pay for $$1$$ banana and $$1$$ apple? | [
"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 | 889138baccd24c1b9eb080bdb667f596 | 1 | short_answer | This year, Sara is $8$ years old, and Lucy is $36$ years old. How many years later will the sum of their ages become $60$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems"
] |
2023-07-07T00:00:00 | e097362981d0409885ba18d30b163d07 | 2 | short_answer | Calculate: $$11+17+9-7+12+8=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 540be23e94244c70aad6ecd37c304418 | 1 | short_answer | Think Academy will hold a concert. The stage and seats have been set up. There are 6 benches that can~ seat two people each, and there are 9 benches that can~ seat three people each ，$$How$$ many people can all the chairs and benches hold? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
2023-07-07T00:00:00 | 468559e91e614d4bae2de59111f672af | 1 | short_answer | A maths book costs ￡$$15.49$$. How much change do you ge tif you pay only with ￡$$1$$ coins? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | ac29be7b853c4812bccecb19739c2026 | 1 | short_answer | Calculate: $$99-101+103-105+107-109+111-113+115-117+119$$． | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | 216cb1366d314b5dbd12758607304eb7 | 1 | short_answer | Given that $$201 \frac{1}{7} \div 8=A+ \frac{1}{7}$$, find the value of $$A$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 680ddbe0ce3c49ce854bcd2f1ea66237 | 1 | short_answer | In the store, there were $\frac{2}{5}$ as many footballs as basketballs. After $16$ basketballs were sold, the store had $\frac{2}{3}$ as many footballs as basketballs. How many footballs and basketballs were there in the store in total at first?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 04c5b12aa7f042fabd03ff53cb7e08e1 | 1 | short_answer | Mendez can eat $$5$$ marshmallows in a minute. How many marshmallows can he eat in $$5$$ minutes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | ce3e27f032134ea699180a318687918c | 1 | short_answer | When the age of an older brother was the same as his younger brother\textquotesingle s current age, the younger brother was $12$ years old. When the younger brother becomes the same age as his older brother\textquotesingle s current age, the older brother will be $27$ years old. Find the age of the older brother this year. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->When..., When... Type Age Problems"
] |
2023-07-07T00:00:00 | 7e57b2275ee24957a6f27d1a194a17fe | 1 | short_answer | There are adequate gloves of 5 colours (white, black, blue, red, and yellow) in a drawer. How many gloves must Rona take out from the drawer to make sure that she could have a pair of gloves in the same color?（⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | 01951c851f4d440aa5d5a49d736fb69d | 1 | short_answer | How many multiples of $8$ are there from $30$ to $82$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | c6d0a3426bdd48c09f8e5ed6be864293 | 3 | short_answer | Sam Sam had 40 stickers more than Peter. Sam gave 20\% of his stickers to Peter. In return, Peter gave 25\% of his stickers to Sam. In the end, Sam had 96 stickers more than Peter. How many stickers did Peter have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 32eb233b7b8648fc98ae6c8e1000cce8 | 2 | short_answer | There are $$13$$ straight lines. What is the maximum number of junctions formed?~\uline{~~~~~~~~~~}~junctions . | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | 3127ad21500549f99d1530b6020f645c | 1 | short_answer | The original price of a commodity is $$ $120$$, during the Spring Festival, the price is raised $$10 \%$$, and the price is reduced $$10 \%$$ during Lantern Festival. How much will this commodity cost during the Lantern Festival? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | 5a2adc2e38cb4df2b6461fbcb699d0a0 | 1 | short_answer | The students of Think Academy went hiking one day. The students walked in a single line, and their speed was $8$km/h. The teacher wanted to give the head of the team some instructions, so he ran from the end to the front and delivered the instructions (the time spent on delivering the instructions is negligible) and then turned around and ran back to the end. The running speed of the teacher is 12km/h and he spent a total of $7.2$ minutes from departure to return. What is the length of the line? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems"
] |
2023-07-07T00:00:00 | 3117c2400ae549259f555f986ce29058 | 2 | short_answer | There are $$16$$ people participating in a knowledge quiz contest. The $$16$$ contestants are divided into $$4$$ groups, and within each group, single round-robin tournament rules will be used. After the group stage, each group produces $$2$$ winners and they will join the knockout stage. The top $$8$$, top $$4$$, top $$2$$, the winner, the runner-up, the third place and the fourth place are determined. How many games are played throughout the contest? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"
] |
2023-07-07T00:00:00 | 83eeb3967efd4f44ae944aeda3665452 | 1 | short_answer | Calculate: $$1.3+2.87+3.7$$． $\textasciitilde\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | e72ae7b5041949c2b5780adfc4f7a4d6 | 1 | short_answer | This year, Flora is $$5$$ years old. Two years ago, her father\textquotesingle s age was $$9$$ times her age. How old is her father this year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | a10dc724d9ee4196877466390813cdbe | 1 | short_answer | Mrs Tan has more than $$30$$ sweets but less than $$40$$ sweets. She is able to give an equal number of sweets to $$4$$ or $$6$$ children without any remainder. How many sweets does Mrs Tan have? | [
"Overseas Competition->Knowledge Point->Counting Modules",
"Overseas In-curriculum->Knowledge Point->Knowing Numbers->Characteristics of Numbers ->Factors and Multiples->The Common Multiples of two Given Numbers"
] |
2023-07-07T00:00:00 | 3e2cfeed3b034453a6cd4c890991cff6 | 1 | short_answer | Bugcat ate $5$ times as many sushi as Pusheen. He also ate $53$ more sushi than Doggo. If they ate a total of $189$ sushi, how many sushi did Doggo eat? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | f324ee4f900c4965905630c53b282ca4 | 1 | short_answer | Find pair of numbers to form whole numbers, then calculate. $122.55+9.45+13.21-3.21=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 92b6d681156647e98a2b8f515678090b | 0 | short_answer | Mike travels from his home to office at $4$ km/h and reaches his office $20$ min late. If his speed was $6$ km/h he would have reached $10$ min early. Find the distance from his home to office. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Proportion and Inverse Proportion"
] |
2023-07-07T00:00:00 | 1191b2497aca4e478f89acd3913baa4b | 1 | short_answer | (UK St Paul's Girls School Sample Paper Section $A$ Question $$6$$) Calculate $1.1 \times \left( {1.2 + 1.3} \right) \times 2$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Four Operations of Decimals"
] |
2023-07-07T00:00:00 | ccee253cade74bf4b980a1d6da9300b1 | 1 | short_answer | $902 - 387$ | [
"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 | 8adc9a67754d493090774f606c1387c2 | 1 | short_answer | Roy wrote down a number sequence: $$8$$，$$9$$，$$10$$，$$\cdots \cdots $$，$$83$$，$$84$$，$$85$$ The digit "$3$" in the number "$83$"~is the~\uline{~~~~~~~~~~}~digit he wrote. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 7c0a8adbe97047ac8c3d2545bed65331 | 0 | short_answer | Helen wrote the first $$25$$ even numbers, how many tmes did Helen write the digit "$$3$$"? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | fd011cee8c7149b08bd7a235ce74b4b0 | 1 | short_answer | On one day in $$2008$$ ￡$$1$$ was worth ￡$$1.25$$. What was ￡$$1$$ worth in pence on that day? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money"
] |
2023-07-07T00:00:00 | 7f5de3640130476b8479c8c57c6cceab | 1 | short_answer | Leo bought a bowl of ramen for $$$8$$. He then bought a pineapple juice that cost $$$5$$ lesser than the ramen. After that, he bought a roasted duck that cost $$6$$ times as much as the ramen. What is the total amount of money he spent? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] |
2023-07-07T00:00:00 | 5f10a8b2ef2a4f548faa94902d80cc0f | 2 | short_answer | There were some pieces of candy in a bowl. Eddie took 1 more than half of the pieces of candy. Then Ivy took 2 less than half of the pieces left in the bowl. Next, Nini took 3 more than half of the remaining pieces. After that, Ken took 1 less than half of the remaining pieces of candy. In the end, there were 3 pieces of candy in the bowl. How many pieces of candy were in the bowl at the beginning? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems"
] |
2023-07-07T00:00:00 | e4bf62e1d6374c7db8fdd451a0891d39 | 2 | short_answer | A snail wants to climb out of a 18-metre burrow. It climbs 7 metres during the day and slides down certain metres at 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 | d2ad7065c3964fdb85960dd64b7389fe | 1 | short_answer | A florist sold $$3$$ types of flowers. She sold $$3$$ times as many tulips as roses. She sold $$40$$ more sunflowers than roses. She sold a total of $$590$$ flowers altogether. How many roses did she sell? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | aea05f0dcdd04e4c903d863ad3465317 | 1 | short_answer | Find the number of different ways of arranging the letters $$CYZZ$$ by listing them all. The first two are done for you. $$CYZZ$$, $$CZYZ$$，\ldots{} TOTAL NUMBER OF WAYS~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration->Ordered Enumeration"
] |
2023-07-07T00:00:00 | c03d7d32adb849f8813c089f2f3caaaa | 1 | short_answer | Calculate: $24\times25\times31$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | c49b5ae0746f481e9831c9c0d1d6f386 | 1 | short_answer | (UK Kent College Pembury $11+$ Math Ematics Sample Question $$17$$) Pupils estimate their heights as $5\rm m$~~~~$120\rm cm$ ~~~~$50\rm mm$ ~~~~$8$ feet Which of these do you think might be correct? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Knowing Units"
] |
2023-07-07T00:00:00 | 26234260bf8544e8be9832159593b76c | 1 | short_answer | There were $$3$$ times as many girls as boys in the art club. Each girl took $$2$$ paintbrushes and each boy took $$3$$ paintbrushes. If they took $$99$$ paintbrushes in total, how many girls were there? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | f4a5d0f84ea8406fbac7ecee01ee432d | 1 | short_answer | At the school Olympics, class $A$, $B$, $C$ each has $12$, $16$, $20$ students who want to particpate. The participating students will need to split into groups of the same size. They can\textquotesingle t group up with students from other classes. How many students will each group have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Multiple Numbers"
] |
2023-07-07T00:00:00 | f5e0a986e3934f67ba17ff2b35ad8068 | 1 | short_answer | There are two positive integers, $$m$$ and $$n$$. $$m$$ is the base of $$12^{2}$$, and $$n$$ equals to the product of $$3^{2}$$ and $$2^{3}$$. What is the sum of $$m$$ and $$n$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"
] |
2023-07-07T00:00:00 | 2c231e6d73964ddb90cae67a6e2c06ca | 1 | short_answer | A total of $18$ boys and $12$ girls participated in Sports Day. Given that the average score of the boys was $74$, and that the average score of all participants was $82$, find the average score of the girls. | [
"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 | 1f89b3dca16b41f3af194d672af50912 | 3 | short_answer | Alyson, Clara and Joyce were each given a piece of string of equal length. Alyson cut hers into smaller $$2\text{m}$$ pieces, Clara cut hers into smaller $$3\text{m}$$ pieces, and Joyce cut hers into smaller $$5\text{m}$$ pieces. If there were no remainder in each case, find the shortest possible length of string given to each of them. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | a6e45aae06f442f6a7eb0e90e00a24ed | 1 | short_answer | The numbers below follow the arithmetic sequence, what is the $$15$$\textsuperscript{th} number? $$124$$、$$121$$、$$118$$、$$115$$、$$112$$、$$\cdots$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The General Term of an Arithmetic Sequence"
] |
2023-07-07T00:00:00 | 6c12066021f245adb5fffd4e97a9c889 | 1 | short_answer | In a pond, $$100$$ fish are caught, marked and released back into the pond at random. After a period of time, $$200$$ fish are caught again at random and $$25$$ fish are found to be marked. If the number of fish did not increase or decrease between the two catches, how many fish are in the pond roughly? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 9cd0dd31a2934eacb9090d85b490b36e | 1 | short_answer | A pile of food can feed $$12$$ rabbits for $$15$$ days. For how long could the same pile of food feed $$20$$ rabbits? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 1e148bc64be04bd6b16fe0c8028ec408 | 2 | short_answer | Chloe, Maggie, Lily and George have some amounts of sweets. Chloe, Maggie and Lily have $$187$$ sweets in total. Maggie, Lily and George have $$327$$ sweets in total. If the amount of sweets George has is $$5$$ times that of Chloe, How many sweets do all four of them have in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 40402588d4b04fcc949d1665e6d2b545 | 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 | a31cc8dad19349aebe0414ae78e4bc33 | 1 | short_answer | Susan had ＄$$10$$. Her mother gave her ＄$$22$$. She wanted to buy a dress that cost ＄$$56$$. How much more money would she need to buy the dress? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | 71033e51e28146eea6ced67678e21748 | 2 | short_answer | (UK St Paul's Girls School Sample Paper Section $A$ Question $$14$$) Abigail gets up at $07:40$ in the morning. $25$ minutes later she starts her breakfast. which takes $10$ minutes to finish. She then leaves for school. Her journey takes $35$ minutes in total. She arrives $5$ minutes late for registration. At what time is registration? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | bedd8521f63647f2a0a12a31cd344069 | 1 | short_answer | There are $0.23$ grams of salt in a packet of crisps. Work out the mass of salt in $6$ packets of crisps. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 932b8a20d21b4686a582828ee98ca875 | 1 | short_answer | $$952 + 139 =$$ | [
"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 | 9ff9e65c65be4e54bb20e233432fc9bb | 1 | short_answer | There are plenty $$2$$-gram weights and $$3$$-gram weights. How many different ways are there to make a total of $$77$$ grams? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Indefinite Equations"
] |
2023-07-07T00:00:00 | fc9b83fecfb44012b1232f0149dad1f8 | 2 | short_answer | It\textquotesingle s known that $$1^{3}+2^{3}+3^{3}+\cdots +n^{3}=(1+2+3+\cdots +n)^{2}$$. Please calculate: $$10^{3}+11^{3}+12^{3}+\cdots 20^{3}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 3133bc72d66445bb9b6aa55994df350f | 2 | short_answer | How many quarters are there in $2\dfrac{1}{2}$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | ebd7e33ee05545079118ad813f66ccf7 | 1 | short_answer | Avril\textquotesingle s average score on the five assignments is $90$. Given that she got $96$, $85$, $89$ and $92$ on the first four assignments, what is Avril\textquotesingle s score on the fifth assignment? | [
"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 | 5caaa9b1c72e4cf7b0f5d589bbf27d1a | 1 | short_answer | Jason has some baseball cards from the $$1920$$s. If he divides the number of cards he has by $$4$$, then he will have $$3$$ remaining cards; if he divides the number of cards he has by $$5$$, he will have $$4$$ remaining cards; if he divides the number of cards he has by $$7$$, he will have $$6$$ remaining cards. How many cards does Jason have at least? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | dfae10a6a701443a9ac7f6922b150321 | 2 | short_answer | \textbf{Unchanged Total} There are 90 more boys than girls in a school. The ratio of the number of girls who can swim to the number of girls who can not swim is 31:49. The number of boys who can swim is 120 less than the number of boys who can not swim. If there are 1690 pupils in the school, how many pupils can not swim? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 95d8e98043834da0a4c0071a63f5ea23 | 1 | short_answer | Pencils of the same shape and size are placed in a big container. There are $$9$$ different colours and $$75$$ pencils in each colour. What is the minimum number of pencils that must be drawn from the container to ensure that the pencils are of at least $$5$$ different colours with at least $$10$$ pencils for cach colour? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Basic Concepts of Probability"
] |
2023-07-07T00:00:00 | 09d73c26d27144a79753ab402d8e3506 | 1 | short_answer | There are $$200$$ pupils on a school trip. Each coach only holds $$34$$ pupils. How many coaches will the school need to book? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders"
] |
2023-07-07T00:00:00 | 3477e87e292f48ec8ee3fc913b1a71ee | 1 | short_answer | Pip and Bud shared some sweets in the ratio of $4:7$. After Santa gave Bud five sweets, the ratio of sweets between Pip and Bud was $8:15$. How many sweets did Pip have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with an Invariant Part"
] |
2023-07-07T00:00:00 | c7e71280a8ab4500a65a6e96a34fd78a | 2 | short_answer | Wheat are planted evenly along the side of a rectangular field, measured in $$144$$ m by $$204$$ m. If there are $$116$$ wheats in total and ever corner of the field is planted with a wheat, the distance between every $$2$$ wheat is~\uline{~~~~~~~~~~}~m. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 19a6283fdef941a5aa103bd8c0a0d755 | 1 | short_answer | What is the last digit of the expression below? $$\underbrace{5\times5\times5\times\cdots\times5}_{20} \times \underbrace{7\times7\times7\times\cdots\times7}_{30}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"
] |
2023-07-07T00:00:00 | fc68f114d75f4d00a000bd9a959d7bb8 | 1 | short_answer | The teacher told each of the $$3$$ students A, B and C a different prime number, and each of them knew only his or her own number. The teacher said, "Your numbers are different from each other, and none of them is more than $$45$$." Later, they have the conversation below: A: "Our $$3$$ numbers cannot form a correct addition equation of $$\square + \square = \square $$." B: "I don\textquotesingle t know how many you are, but I know that if I subtract $$1$$ from my number, our difference is $7$." C: "If you multiply me by $$2$$, can we form a correct addition equation?" Teacher: "Yes, if you multiply C\textquotesingle s number by $$2$$, your three numbers will be able to form an addition equation." If all three students are smart and honest enough, then the sum of these $$3$$ prime numbers is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"
] |
2023-07-07T00:00:00 | 4be8de9c0cc14f33b367a9c501a90089 | 1 | short_answer | Sarah has $$2$$ cloths with lengths of $$39\text{cm}$$ and $$52\text{cm}$$ each. She wants to cut both pieces of cloth into smaller pieces of equal lengths without any remaining cloth. What is the longest possible length of each small piece of cloth after cutting? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | cda998982a894cdb8077bdfb4a0b2764 | 1 | short_answer | At a certain school, students are given a points score calculated from their grades. Simon has four A grades and four B grades and has a score of $36$. Peter has two A grades and three B grades and has a score of $22$ points. What would be the points score of someone with three A grades and five B grades? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 99d7b27d46844be596baf37965890e96 | 0 | short_answer | Joe\textquotesingle s chocolate bar is made up of $$16$$ squares. He decides to share it with his friend. How many squares does Joe have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 73b357f92b7e40399f2271567c50156d | 1 | short_answer | What is half of $$999$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | 536fb0bff4d04a49a0e59a954dc6348a | 1 | short_answer | Laura was $${{4}^{\text{th}}}$$ in a queue. Amanda was $${{7}^{\text{th}}}$$ from the end of the queue. There were $$2$$ children queuing between Laura and Amanda. Laura is in front of Amanda. How many children were there in the queue? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems"
] |
2023-07-07T00:00:00 | 8d2b72129fea4fe2bed54b1710b74200 | 2 | short_answer | Tony\textquotesingle s phone number is $ABCDEFGH$. Tony found that A is the smallest prime number, B is the smallest composite number, C is neither prime number nor composite number or zero, D is 2 less than the smallest prime number, E is the largest composite number up to 10, F only has factors 1 and 5, G is the greatest factor of 8, and H is the lowest multiple of 6.What is Tony\textquotesingle s phone number | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | 4741132a2a6e4fd9b62cc955675da60c | 1 | short_answer | How many times does the digit \textquotesingle$1$\textquotesingle~appear in a $120$-page book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 39ff6ce753bc44909a9a09937c88d468 | 3 | short_answer | Marry and Alexis had some stickers in the ratio 7 : 5. Marry and Alexis each gave 20\% of their stickers to Charlotte. As a result, Charlotte\textquotesingle s stickers increased by 80\%. If Mary had 20 stickers more than Charlotte in the end, how many stickers did Alexis have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 7217243413c449e2bad76755d71dd583 | 1 | short_answer | A train stopped at Stockport station. $42$ people got off and $$60$$ people got on. There were $$322$$ people on the train when it left Stockport. How many were on the train before it stopped at Stockport? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 104714b036e84a2696f951000c89ff03 | 1 | short_answer | How many seconds are there in $$\frac14$$ of $$\frac16$$ of $$\frac18$$ of a day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 2583cc3e3e5749a5bdc1a87f0ef8ed05 | 1 | short_answer | What is the value of the unknown in the equation below? $4+8(50-3x)=92$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 78b02b5b75964068adef771a062c712c | 1 | short_answer | If Eddie and his mom and dad want to stand together, how many different ways are there for the family to line up? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | c08789bee10c46c2902b114a45c0d0a6 | 0 | short_answer | Work out: $$34\times100$$ Answer:~\uline{~~~~~~~~~~}~ | [
"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 | 0756d6f5711a4c54986ef915e57a0ccd | 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 | d4071be0f0c7425fb8d8e725d1b67417 | 1 | short_answer | Pip writes down a four-digit number. In Pip\textquotesingle s number, the thousands digit is same as the units digit. Bud reverses the units digit and the tens digit of it and gets a new number. Pip\textquotesingle s number and Bud\textquotesingle s number add up to $5510$. What is Pip\textquotesingle s number? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles"
] |
2023-07-07T00:00:00 | c1c6e64207724fd1a56270ce126df35a | 1 | short_answer | There is a pasture where the grass grows steadily. It can feed $$25$$ cows for $$10$$ days, or $$15$$ cows for $$20$$ days. How many cows can be fed for $$50$$ days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Newton's Problem of Cows and Fields"
] |
2023-07-07T00:00:00 | 007602e598e6490ea3de0467b56b3e6a | 1 | short_answer | John reads part of a $$95$$-page book every day. Given the number of pages he reads every day is different, then in how many days at most can John finish reading this book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression"
] |
2023-07-07T00:00:00 | a8439e99e6a1477cac347feb553247d6 | 1 | short_answer | The ratio of the number of oranges to the number of lemons in a basket was $$3:5$$. After $$48$$ oranges were sold, the ratio of the number of oranges to the number of lemons became $$1:2$$. How many lemons were there in the basket at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions"
] |
2023-07-07T00:00:00 | 2ab0503d127a4c73a785328ae9680841 | 1 | short_answer | When Jenson was calculating a subtraction problem, he mistook the minuend as 116 instead of 166, and he got a difference of 81. What is the correct difference? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Correcting the Careless Mistakes"
] |
2023-07-07T00:00:00 | fee3950a7d754643a6574d07b8b3cb97 | 1 | short_answer | Helen sold watermelons at the farmer\textquotesingle s market last weekend. She sold $20$ watermelons on the first day, which is~$\dfrac{1}{3}$~of the number she sold on the second day. On the third day, she sold more after a discount, which is~$\dfrac{5}{3}$~of the number she sold on the second day. How many watermelons did Helen sell altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 835aacd2f1bc42c084af969d3791ac9a | 2 | short_answer | There are 8 different books, including 3 maths books, 2 English books and 3 other books. If these books are placed in a row on the shelf, with the maths books lined up together and the English books lined up together, how many different ways are there to place these books? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | c4ecbada09354d1ab1f0f9e6e7430943 | 1 | short_answer | Dylan buys a $$2000-$$dollar television on sale for $$30 \%$$ off in an electronics store. He is an exclusive member of this store, so he gets a further discount of $$100$$ dollars. A sales tax of $$10 \%$$ is paid on the final selling price. How much does Dylan pay for the television? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
Subsets and Splits