dataset_version
timestamp[s] | queId
stringlengths 32
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stringclasses 5
values | qtype
stringclasses 1
value | problem
stringlengths 6
2.89k
| knowledge_point_routes
sequence |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | 014509f53414409198e8302211988bc5 | 0 | short_answer | Lena had $$86$$ strawberries. She gave away $$29$$ strawberries to her brother. After her mother gave her some strawberries, she had $100$ strawberries. How many strawberries did her mother gave her? Her mother gave her~\uline{~~~~~~~~~~}~strawberries. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 63f544191af94265b786a75669858d3b | 1 | short_answer | At the school scavenger hunt, class $A$, $B$, $C$ each has $8$, $12$, $20$ students who want to participate. 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 | 71d8dd44935a4d74ab3f2f038bd63e9b | 1 | short_answer | There are a total of 30 students in class 2C. They took two maths exams and all students participated. 25 students passed the first exam, while 12 students failed the second exam. There are only 3 students who passed the second exam but failed the first. How many students passed only the first exam? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | f7dc723fc9c0444bb72711cfa044db6f | 1 | short_answer | There are $7$ routes from site A to site B, $5$ routes from site B to site C, $4$ routes from site A to site C and $2$ routes from site C to site D. Besides, there are $6$ routes from site A to site D. How many ways are there from site A to site D in total? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 934c22a63d3149ffb43b1d24593d0c01 | 1 | short_answer | Eric baked $$255$$ chocolate cupcakes and cheese cupcakes. After selling away $$40 \%$$ of the chocolate cupcakes and $$75 \%$$ of the cheese cupcakes in the morning, he was left with an equal number of cheese cupcakes and choclate cupcakes How many cupcakes did Eric have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Basic Units"
] |
2023-07-07T00:00:00 | 1972b3d726cb4c91b08b5636358089e8 | 1 | short_answer | Pip bought 2 pens and 3 pencils for a total of ~£20. Each pencil costs £2. How much is a pen? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | ac54c8b609c94030b92316d569da1836 | 1 | short_answer | There are 300 kilograms of hay in the warehouse, which can be eaten by 5 cattle in 10 days. How much grass does a cattle eat in a day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | 60783bc25b9749de9150f2006634255c | 2 | short_answer | Lisa has three children of different ages, all under 10. And the product of their ages is 210. What\textquotesingle s the age of the youngest children?（⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 9d5fcd691dcd4877acf240f16e7063cb | 3 | short_answer | In a class gathering of $$39$$ students,~$\tfrac{1}{4}$~of the boys is equal to~$\tfrac{2}{5}$~of the girls. How many more boys than girls are there at the gathering? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->Equalizing products by Grouping"
] |
2023-07-07T00:00:00 | ef208d09ffee4f59ad9b66d3ea949934 | 1 | short_answer | There are $$960$$ kilograms avocados. If each box can hold $$8$$ kilograms avocados, how many boxes can we hold in total? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Short Division"
] |
2023-07-07T00:00:00 | 3ac0f16eac8647b8b591701993aa5623 | 1 | short_answer | lvy plants $$296$$ seedlings. $$\frac{3}{8}$$ of them are killed by frost. How many seedlings survive? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | fb1f2e79dcf341bf81ac3f2db4f131ec | 1 | short_answer | Jerry the bearded dragon eats $$12$$ locusts for breakfast at the start of every day. His owner buys $$100$$ locusts one afternoon for Jerry to eat. How many locusts does Jerry get on the day these locusts run out? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 34b006c5adeb493dbdbe598de9425edd | 1 | short_answer | Calculate $$77.5\times 52 \%+5.2\times 2.25$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 70c9f09a81b741faab4149e0ce3c2e08 | 0 | short_answer | How many terms are there in the sequence below? $2, 4, 6, 8,10 \dots ~240$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The Number of Terms in an Arithmetic Sequence"
] |
2023-07-07T00:00:00 | f8f2a1e9445b4dcda537fd994f74f84b | 3 | short_answer | Jeremy had a total of $$116$$ notes that were either $$$5$$ or $$$10$$ notes. After he spent $$60$$\% of the $$$10$$ notes and $$25$$\% of the $$$5$$ notes on a bag, he was left with~$\tfrac{4}{7}$~as many $$$10$$ notes as $$$5$$ notes. How much did the bag cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] |
2023-07-07T00:00:00 | 79b3d22b017c4dc5bc3455a8f8bca3ed | 1 | short_answer | Calculate: $$12\times 92+22\times 82+32\times 72$$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | f11cc314015c4356be0ae68d5c3ced7c | 3 | short_answer | The ratio of Don\textquotesingle s stickers to Ben\textquotesingle s stickers was $2 : 3$. After Don\textquotesingle s bought another $10$ stickers and Ben lost $5$ stickers, the ratio became $6 : 7$. Find the number of stickers Don had at first. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | e750a026daa342fc915455072a011aba | 1 | short_answer | Calculate $60 \times ~20$ | [
"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 | 8f82a9fa21664af9b7af5284e8c4493f | 2 | short_answer | Find the value of $$726\times 8$$. Give your answer correct to $$1$$ decimal place. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | f4a02eb509224062b7d4a7b00e982d44 | 1 | short_answer | What is the answer to the following? $$2-3+4-5+6-7+8-9+10-\cdots +2014-2015+2016=$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | cb610f1994f441c5aa75e99c47dc7c49 | 1 | short_answer | What is the smallest number that must be taken away from $4293$ to make it divisible by $25$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | aca847f6240f4ca38811b767301a74f8 | 1 | short_answer | Amy has $50$ toys and Sally has $26$ toys. How many toys does Amy have to give Sally such that they have the same number of toys? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 4240bfa02e564792b745d971a51cf6aa | 1 | short_answer | There are $3600$ baby chickens on a farm. The number of hens on the farm is $\dfrac{8}{9}$~of the baby chickens, and the number of roosters is $\dfrac{1}{16}$~of the number of hens. How many roosters are there on the farm? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 7716f1cb1ca14992ae86bd9c52735efd | 1 | short_answer | Given that the three positive integers $$a$$, $$b$$, and $$c$$ are such that $$a+b+c=31$$, find the largest value of $$abc$$. | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums"
] |
2023-07-07T00:00:00 | 45c579ce75cb41d3bab3bcda32699a25 | 1 | short_answer | Cecilia had four times as much money as Kenny. If Cecilia had $$$80$$, how much money did both of them had altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"
] |
2023-07-07T00:00:00 | de5bc649b5e64036b73efabb4e608b1b | 1 | short_answer | Heather saved $ $12.15$. Zach saved $3$ times as much as Heather. Serena saved $ $24.50$ more than Zach. Serena saved $5$ times as much as Jason. Jason saved $ $1.54$ more than William. How much money did William save? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 305f09b3cd4e439eb8bd23de400c08f3 | 2 | short_answer | Given that $${{1}^{2}}+{{2}^{2}}+{{3}^{2}}+\cdots +{{20}^{2}}=2870$$． Calculate the following expression. $$1\times 3+3\times 5+5\times 7+\ldots +39\times 41$$． | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | c49e92d63d14477a969fe081cfe53304 | 1 | short_answer | There are seven students in a group. Among them, two boys are twin brothers and three girls are triplet sisters, and these seven students are arranged in a row. If the twin brothers cannot be next to each other and the triplet sisters want to stand together, how many ways are there to arrange them? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | e6664d91f4d5422a9967575f83a6dcba | 1 | short_answer | A tree is planted at every $$10$$ metres along a stretch of road. If the stretch of road is $$150\text{m}$$ long and the trees are planted at opposite ends of the road, how many trees are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | 90f3a7cdbae348efb794b15c5519e1e1 | 1 | short_answer | Linda has a Boba milktea shop. She uses $$1$$ gallon of milk to make $$6$$ cup of milktea. How many gallon of milk will she need if she needs to make a $$30$$-cup order? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 7d02cb0ab8354e44968e796de4cb54d3 | 1 | short_answer | A $$6$$-digit number $$\overline{21\square \square 35}$$ is a multiple of $$99$$. Fill in the blanks and complete the $$6$$-digit number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 7c8f1a20bc9749f7b59b0f1ad124a82f | 2 | short_answer | There are $$320$$ Primary $$5$$ students in a school. What is the least number of students born in the week that has the most number of students born in it? | [
"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 | f2b7d72bc0e0413388bba2a9429b9e63 | 1 | short_answer | Summer vacation lasts for $$55$$ days. During summer vacation, what is the greatest number of Fridays that could occur? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | b781fc8f3a7c4ac5b3c263cd0ed580ef | 1 | short_answer | What is~$\dfrac{3}{1-\dfrac{1}{2}}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Complex Fractions->Calculations of Complex Fractions"
] |
2023-07-07T00:00:00 | 5d1664b6531d452198dbf2ebb51359c0 | 1 | short_answer | $$20 \%$$ of the girls in class $$7$$W wear glasses. There are $$25$$ girls in the class. How many of them wear glasses? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 955c179e463143d28ade540096508f5f | 2 | short_answer | A number $$N$$ is divisible by each of the integers $$2, 3, 4, 5, 6, 8$$ and $$9$$. $$N$$ gives a remainder of $$5$$ when divided by $$7$$. Find the smallest value of $$N$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders",
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | 20a734ca64ba4070bb73709f8775c1bb | 1 | short_answer | At Think store, a pencil costs $2$ dollars and a pen costs $4$ dollars. Owen bought some pencils and Oscar bought some pens. If Owen wants to trade a pen from Oscar, Owen should give Oscar~\uline{~~~~~~~~~~}~pencils back. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Simplifying Continued Ratios"
] |
2023-07-07T00:00:00 | 89c07102e40b408485bed168ad9751a2 | 0 | short_answer | Work out $53\times47$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Move the Decimal Point to Change a Number’s Value"
] |
2023-07-07T00:00:00 | 92911ac8b9144f938149832f7b7402c6 | 1 | short_answer | Work out $$8386\div14$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division in Vertical Form"
] |
2023-07-07T00:00:00 | 08ead4044f5c4e0cb7f564479dcbb641 | 1 | short_answer | If $5$ mugs cost $£3.50$ and $8$ pens cost $£6.80$ how much change do I get from $£10$ if I buy $7$ mugs and $5$ pens? You MUST show your working. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals",
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 9b6fc41b0a9a49fea3924bc898749d7d | 1 | short_answer | $560$ pupils normally go to Hereford Cathedral on Monday mornings. On Monday,~$\dfrac{1}{5}$ of the pupils are away on a school trip. How many pupils \textbf{\uline{go to the Cathedral}}? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 6b4e0702e3de4173981781093a35339e | 1 | short_answer | It takes $$3$$ minutes for one child to sing a song. How long does it take for the whole class of $$50$$ children to sing $$2$$ songs?(Assuming all the children take $$3$$ minutes to sing a song)~\uline{~~~~~~~~~~}~minutes. | [
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Planning"
] |
2023-07-07T00:00:00 | ac385e53c24d4641950c3bc12d00cf65 | 1 | short_answer | A basket with $$5$$ apples weighs $$580$$ grams. If $$3$$ of the apples were taken out, the remaining weight would be $$280$$ grams. What is the weight (in grams) of the basket? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | 33059b4275c842cfbe5060e8e558c094 | 1 | short_answer | Circle the larger number $25 \%$ or $0.3$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->By Converting Fractions into Decimals"
] |
2023-07-07T00:00:00 | 9d2dc78991904963a971fcd7d4ca960c | 1 | short_answer | $$1$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 4b619e6f83fb4fcb8bd134e22add52a2 | 2 | short_answer | Bella deposited $$$35 000$$ in a fixed deposit account which paid her an interest of $$1.5 \%$$ per year. After a few years, the amount of money in the bank became $$$37 100$$. $ $ Bella said that she the number of years saved is $$5$$. $ $ Is she right or wrong? If she is wrong, how many years did she actually save her money in the bank? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 824b5f4234db4e34ba3320198b6e527a | 1 | short_answer | 1 box of donuts have 6 donuts. Maryam bought 6 boxes of donuts for her birthday party. She ate 3 donuts on her way home. How many donuts she has left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 2b391dae225f4f358dfa8a02cfaea5f6 | 1 | short_answer | katie the baker can make $7$ loafs of bread with every $4$ cups of flour. How many cups of flour does Katie need to make $35$ loafs of bread? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | e80e460c0afe49d7918f9c4c9e99d36a | 1 | short_answer | Write number which fits all three of these statements: It is a multiple of $3$. It is a multiple of $7$. It ends in a $2$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples->Least Common Multiple of Two Numbers"
] |
2023-07-07T00:00:00 | c847b39a398345608e4e416f46045845 | 1 | short_answer | There were thrice as many cookies as cakes in a bakery. After $$39$$ cookies and $$17$$ cakes were sold, a total of $$48$$ cookies and cakes were left. How many cookies were left in the end? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | e33f554d8b1644c19022b4fa4594db6b | 0 | short_answer | How many days are in two weeks?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Simple Multiplication Applications"
] |
2023-07-07T00:00:00 | 926c0d38b66140b8900e8ac92ba84f48 | 1 | short_answer | Ryan recently learned how to write large numbers and wrote the number $$2,435,643$$ on a piece of paper. What is the difference between the values of two $$3$$s in $$2,435,643$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | 13ecc517842a4e27b0943158564ba2f9 | 1 | short_answer | John, Jonah and Angus take $$27$$ hours to build a brick wall. Jonah and Angus (without John), working just as hard as each other, together take $$36$$ hours to build the same wall. How long would John take to build the wall on his own? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems->Finding the Personal Productivity Given the Productivity of the Team"
] |
2023-07-07T00:00:00 | 246eea2b254546f6a06a17c8c5da0778 | 1 | short_answer | What is the ones digit of $$2^{17}$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | 15d29f8eed604f4faf1e5161667d0a8e | 0 | short_answer | The $$Funny$$ $$Book$$ has its pages numbered in the following way: $$1, 2, 3, 3, 3, 4, 4, 4, 4, 5, \cdots$$. That is there is one $$1$$, two $$2s$$, three $$3s$$, four $$4s$$, five $$5s$$, and so on. How many actual pages (including front and back) will the $$Funny$$ $$Book$$ have if it contains all possible pages that are numbered "$$1$$" through "$$20$$", but not any that are numbered "$$21$$"? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 0521571bcf6e46beb68e012434205a1a | 2 | short_answer | A country has decided to have just two different coins. It has been suggested that these should be $$4z$$ and $$5z$$ coins. The shops think this is a good idea since most totals can be made. For example, a total of $$13z$$ can be made using $$2\times 4z+5z$$. Find the largest total that cannot be made and explain your answer. | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration->Ordered Enumeration",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration->Ways of Paying->Enumerating Ways of Paying"
] |
2023-07-07T00:00:00 | be94a430bb8b4fcaa11c93b71957d202 | 2 | short_answer | The sum of $$10$$ positive integers, not necessarily distinct, is $$1001$$. If $$d$$ is the greatest common divisor of the $$10$$ numbers, find the maximum possible value of $$d$$. The maximum value of $d$ is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums",
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 576faec091114697b4cc7ea7ab748d0c | 1 | short_answer | Five years ago the combined age of Claire and Daniel was 14 years old. What will the combined age be in 3 years? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 1eee00688a104ff986a31b1fee446322 | 2 | short_answer | The $$6-$$digit number $$\overline{1082ab}$$ is a multiple of $$12$$. How many possible different values of the last $$2-$$digit number $$\overline{ab}$$ are there? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 099cc2e5ff734ad197d27fee09bc11fb | 1 | short_answer | $3$ apples and $4$ pears weigh $1.81\textasciitilde kg$. $5$ apples and $2$ pears weigh $1.71\textasciitilde kg$. What is the weight of $4$ apples and $4$ pears? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 043842622d23468b98edf5cef7ed85bf | 1 | short_answer | Avril wants to make a bow and needs to cut two ribbons of lengths of $$45 \rm cm$$ and $$30 \rm cm$$ into small pieces of equal length without leaving any surplus. What's the longest possible length of each piece? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | a33b75b9ed48463ca3eeddc40ed2b3d3 | 2 | short_answer | A school has 152 students. if we remove $$\frac{1}{11}$$ of boy and $$5$$ girls, then number of boys and girls will become the same. Then original numebr of boys is:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 93147f6eb5f740a294872bacc776ddb6 | 1 | short_answer | Add together `four hundred and seventy five' and `one hundred and thirty eight.' | [
"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 | 7f1aa4e059a14f339db6b2ca01c5fcab | 0 | short_answer | Find the least whole number which when divided by $$5$$ gives a remainder of $$1$$ and when divided by $$12$$ gives a remainder of $$3$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | be1d59d57baf4467ac4f9b6959b15354 | 1 | short_answer | Work out $42 + 21 + 16 + 44 + 37$. | [
"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 | 5703bb8ce16a4381b41f8d825e3b1d53 | 1 | short_answer | Joel bought $128$ pencils for his class. The pencils came in boxes of $16$. How many boxes did he buy? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] |
2023-07-07T00:00:00 | 675d0644ed364630886e6ad4d9107e49 | 0 | short_answer | Amanda, Bernie and Cathy received $378$ stickers. Cathy received $3$ times as many stickers as Amanda while Amanda received twice as many stickers as Bernie. How many stickers did Amanda and Cathy receive alogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 2775c0cd96fc41549c1710e81e205e35 | 1 | short_answer | $$386+99=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Vertical Form"
] |
2023-07-07T00:00:00 | ab9fcefd7c4e479ea261d1c0846c27b6 | 1 | short_answer | Ermintrude the female cat flea can lay $$50$$ eggs a day. These become adults in $$30$$ days. How many new adult fleas will there be in $$40$$ days? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Sequence Operations->Period of Numbers"
] |
2023-07-07T00:00:00 | 1661939d67544a83807ef71d048c5ebf | 1 | short_answer | $$\frac{(24- \textasciitilde\textasciitilde\textasciitilde)}{3}=7$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions"
] |
2023-07-07T00:00:00 | 0842c79b27de450fa5cfe122f9bcadc6 | 1 | short_answer | In a foreign language study group, everyone can speak at least one language: French, Japanese, or Italian. In this group, $$15$$ people can speak French; $$12$$ people can speak Japanese, and $$13$$ people can speak Italian. In addition, $$5$$ people can speak both French and Japanese; $$3$$ people can speak both French and Italian; $$2$$ people can speak both Japanese and Italian. Only one person can speak all three languages. Find the number of people in this foreign language study group. | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Three Sets",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | f9fc8eb9b14d4cc9a262fcb37c90fda7 | 1 | short_answer | (UK Kent College Pembury $11+$ Math Ematics Sample Question $$14$$) An orange drink is made by mixing water with concentrated orange juice. $\frac{3}{4}$ of the orange drink is water. How many litres of water will be in $12$ litres of orange drink? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 2055cce1efcf44bea37be19436b9bcf2 | 1 | short_answer | Think Academy is holding a gymnastics competition, and students in Grade $$4$$ line up in several rows to perform gymnastics. In the first row, there are $$3$$ students; in the second row, there are $$6$$ students; the third row, $$9$$ students; the fourth row, $$12$$ students, and so on. If there are $22$ rows of students, how many students are there in the competition? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression"
] |
2023-07-07T00:00:00 | 4e21bd2101d34265aef926bc9e12fa2a | 1 | short_answer | There are $$75$$ story books in the school library, the amount of the magazines is $$12$$ more than $$3$$ times the amount of the story books, so what is the total amount of the these two kinds of books? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 487795a712ca4df799ee2cbe1e449bfa | 1 | short_answer | Given that $$M=\overline{5abcd}$$, $$N=\overline{abcd5}$$ , and $$M-N=22122$$, what is the value of $$\overline{abcd}$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | c095aeb90ada41a7b2026c6d00a0a9a5 | 3 | short_answer | $$21\dfrac{21}{286}\div 6\dfrac{647}{2530}\times 1\dfrac{1370}{2829}=$$~\uline{~~~~~~~~~~}~． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | e02f12831853474bb8ee7052e880632b | 1 | short_answer | The outside surface of a cuboid with dimensions of $$6\times10\times12$$ cuboid is painted pink. The cuboid is cut into $$720$$ small cubes of the same size. How many small cubes have exactly one face that are painted pink? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Coloring Problems"
] |
2023-07-07T00:00:00 | a8ad8c1da3f64db3b4d3e1134a3879a8 | 1 | short_answer | What is $$30 \%$$ of $$1600$$? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 1080dc888bc1462c875ce93fbe5290ad | 1 | short_answer | Sam has £$$3.85$$ to spend. He buys a pencil for $$38\text{p}$$ and a ruler for $$59\text{p}$$. How much does he have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | b941a481a3ec4834ae3b5b86f5aec29d | 1 | short_answer | Star and Nini are typing a document. If Star types for $$5$$ hours and then Nini types for $$20$$ hours, they will finish the job. If Star types for $$20$$ hours and then Nini types for $$8$$ hours, they can also finish the job. How long will it take Nini to finish the job by herself? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | ee5f7e8a908d460b8adcc1ad027e999e | 1 | short_answer | Anne has some apples. Maria has $$20$$ apples more than Anne. Altogether they have $$44$$ apples. How many apples does Anne have?（Adapted from $$2005$$ Math Kangaroo Problem, Levels $$1-2$$, Question \#$$15$$） | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | c918b81873d64b8aa1c102ce71280309 | 1 | short_answer | Valerie equally distributes $$140$$ pieces of candy into some piles. The number of pieces of candy distributed to each pile is an odd number. How many ways are there to distribute the candy? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization"
] |
2023-07-07T00:00:00 | 6b16fdd0be384cf5a083adb6b7ddc329 | 1 | short_answer | A $$2-$$digit number has a remainder of $$5$$ when it is divided by $$9$$. It has a remainder of $$2$$ when it is divided by $$11$$. What is this $$2-$$digit number?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 3199cfbf2dfe4ff5b0205bf52aec9191 | 1 | short_answer | The new school warden has mixed up all the $$20$$ keys to the different classrooms. At most how many times must he try 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 | 9399d8d9f49e46a198d04e3865b85816 | 2 | short_answer | There are two stacks of stones, A and B, each containing $$20$$ stones. Tom and Jerry take stones out of the stacks one after another. In each turn, each player can take an unlimited number of stones from one of the stacks. To end their turn, each player~\textbf{MUST} pick at least one stone each round, and the player who picks the last stone wins the game. If Tom takes $4$ stones from Stack B first, find out from which stack and how many stones Jerry must take to win the game. Answer: Jerry must take~\uline{~~~~~~~~~~}~stone(s) from Stack~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 7580acd98a0c4ef6bda0a71edd51c899 | 1 | short_answer | A newspaper has $$56$$ pages. Johnson unfolds the newspaper and take the third sheet out. He adds all the page numbers on that sheet, what does he get? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 7a962b40b4df4e7da95c3f2d31a2f3ce | 1 | short_answer | There are many girls in Grade $3$, which takes up $\frac37$ of the total students in the grade. If there are $98$ students in Grade $3$ in total, how many girls are there? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 2bf32838f785445980cc390cb6320d3d | 1 | short_answer | Evaluate $$\left(\frac{2017}{2018}+\frac{20172017}{20182018}\right)\div \frac{201720172017}{201820182018}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"
] |
2023-07-07T00:00:00 | 23f8aa9db7e147b3b3742048c1d3174a | 1 | short_answer | Work out $$861\div7$$ Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 04b825cc67fe4b4f8a1f4497100aeb7c | 2 | short_answer | If one watermelon can be exchanged for 6 peaches, 2 peaches can be exchanged for 3 apples. How many apples can 1 watermelon be exchanged for? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 7ed76480d276434fbfc1ef6cec1b7bdd | 1 | short_answer | A book uses $$933$$ digits for printing its page numbers. How many pages does the book have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence of Specified Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | 69821dbcaf204ec39ed74a835223a3ce | 1 | short_answer | What is halfway between $$120$$ and $$300$$? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers"
] |
2023-07-07T00:00:00 | b79ceb9a914f43578cdb34802a537cfe | 1 | short_answer | Calculate: $$100+98-98+96-96+94-94+92-92+90-90=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | fa6c8419cbc948ed949fceaaf819f554 | 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 | 894a1b1acc3e45f59d4643eed64472b1 | 1 | short_answer | A juice bar sells apple juice for $5$ dollars per cup, orange juice for $3$ dollars per cup, and peach juice for $10$ dollars per cup. In this year's summer sale, the bar decides to make a blended fruit juice by mixing up $30$ cups of apple juice, $50$ cups of orange juice, and $20$ cups of peach juice. If the size of the cup doesn\textquotesingle t change, how much will a cup of blended fruit juice cost on average? | [
"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 | 796675bc6c294ff3bcb032a3c401a43e | 2 | short_answer | There are $$300$$ pages in a book with the page number $$1$$, $$2$$, $$3$$, $$\cdots $$, $$298$$, $$299$$, and $$300$$. How many \textbf{pages} contain the digit $3$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 2256985532604103b84c8d43d526ad28 | 1 | short_answer | Jane has some pens in Box $$A$$ and Box $$B$$. Each of the boxes has $$10$$ blue pens, $$15$$ red pens, $$20$$ black pens and $$25$$ green pens. If $$20$$ pens are taken from Box $$A$$ and placed into Box $$B$$, how many pens must be returned from Box $$B$$ to Box $$A$$ to ensure that Jane has at least $$15$$ pens of each colour in Box $$A$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 88e4456f85e441199253d72e1f99a80c | 1 | short_answer | Johnson was punished by his teacher and he needed to write every number from $$1$$ to $$91$$. How many digits did he write in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | c9603f52f68b48fb9942c64a01b72b5b | 1 | short_answer | A programme starts at $$9:15\text{pm}$$ and ends at $$11:06\text{pm}$$. How many minutes did it last? ANSWER~\uline{~~~~~~~~~~}~minutes | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | f93fc07de4544d5f963823aa20a6df3c | 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 $32$ more boys than girls in total, find the total number of students. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
Subsets and Splits