dataset_version
timestamp[s] | queId
stringlengths 32
32
| difficulty
stringclasses 5
values | qtype
stringclasses 1
value | problem
stringlengths 6
2.89k
| knowledge_point_routes
sequence |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | 3836f8199279464492fa9ffeb517630a | 2 | short_answer | DQ writes some numbers in the following order: she writes two $1$s, three $2$s, four $3$s, five $4$s, and so on. According to the pattern, what is the median of all the numbers in the sequence when she finishes writting all the $8$s? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | e91231eaf4d8439faaede60ec5091276 | 1 | short_answer | There are $18$ blue, $6$ red and $8$ orange marbles in a box. If you are blindfolded, how many marbles must you take out from the box to ensure that you can get the 2 red marbles? | [
"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 | 34f44583a8cd45e19c113454790dece8 | 1 | short_answer | The digits $3$, $1$, $9$ and $2$ can be arranged in any order to make four digit numbers. What is the difference between the largest and smallest numbers that you can make? | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value in Enumeration Problems"
] |
2023-07-07T00:00:00 | 372d3979dd3241aa8a0f262aeedf3e12 | 2 | short_answer | There were $30$ students in a line facing their teacher. The teacher instructed them to call out the numbers $1$ , $2$ , $3$ , $\cdots$ , $29$ , $30$~ from left to right, asking those who have called out a multiple of $2$ to turn around. Then she asked those who have called out a multiple of $3$ to turn around. How many students ended up facing the teacher? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | bf2cd12d57fa4f7bb8bebd58e44e01a3 | 1 | short_answer | Calculate $3267 - 745$ | [
"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 | 89e2769fb2db4433a5c129d85a787ba3 | 1 | short_answer | If $\sqrt{x}+\sqrt{36}=\sqrt{81}$, what is the value of $x$ ? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 7670470dcd1f4c8c96ea9a2887dfc3bc | 1 | short_answer | Athletes are arranged in several rows at the opening ceremony of Think Olympics. The numbers of athletes in each row form an arithmetic sequence. There are $$10$$ athletes in the first row and $$25$$ athletes in the fourth row. Given that there are in total $$25$$ rows, then find the total number of athletes at the opening ceremony. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression"
] |
2023-07-07T00:00:00 | 8dc109b953614926bb4b8a13ca7104a0 | 2 | short_answer | Suppose you are participating in a game program, and you are asked to choose one of the three gates: there is a car behind one of the gates and the others~ are goats. You choose a gate, as gate $$1$$, and then the host who knows what is behind the door opens gate $$3$$ with a goat behind it. He then asks you, "Do you want to choose gate 2?" At this time,which gate should you choose? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 3814e1d67d1e4e95aa0ff2ddfffc3251 | 1 | short_answer | Calculate $2184\div7$. | [
"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 | 6f725efbd53047b3a646809b5162d3a0 | 1 | short_answer | Fill in the missing number in the box below. $\square\div4=221$ | [
"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 | 29fb2769be344578a23b172da388fb1e | 1 | short_answer | Find the value of $$1+3+5+7+\ldots+43+45+47+49$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 708c9e7ed608441c98ea48c7bbc04858 | 1 | short_answer | Work out $$468\div9$$ 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 | dfba4fdc8eb54b0c962f907a4edf3d42 | 1 | short_answer | A number has a remainder of $2$ when it is divided by $4$. It also has a remainder of $2$ when it is divided by $3$. It has a remainder of $1$ when it is divided by $7$. Find the smallest possible value of this number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 33f5c3de051f4cdebf9fe82fa4041ef2 | 1 | short_answer | Sean went to a resturant $6$ times this week and he spent $x$ dollar each time. How much did Sean spent in total using algebraic expression? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | c34160a26e5c402eae8db3c3bc42f9b9 | 1 | short_answer | Calculate: $$1\times 2+2\times 3+3\times4+\cdots +28\times29+29\times 30+30\times 31$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | 0c251d28e5f34b3790b5b39adc9a140b | 3 | short_answer | David spent $$$75$$ of his money on a number of CDs. He spent~$\tfrac{1}{4}$~of the remaining money on a number of batteries. Given that he was left with~$\tfrac{1}{3}$~of the original sum of money, how much money did David have at first? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 60431e14fe314b0dbc9334280d889c13 | 1 | short_answer | $7$ pokemon trainers can catch $7$ pokemon in $7$ minutes. How many pokemon trainers are needed to catch $49$ pokemon in $49$ minutes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate"
] |
2023-07-07T00:00:00 | 6e103a2ef68043989f0694b5cb663d85 | 1 | short_answer | How many different ways are there to lend seven different books to three students, given that each student gets exactly one book? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations"
] |
2023-07-07T00:00:00 | 9193db4182e34c75be3ffc7a426aad35 | 1 | short_answer | Tommy and 12 of his friends each spent 142 minutes on Mathematics homework. Find out their total time spend on Mathematics homework. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table",
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers"
] |
2023-07-07T00:00:00 | a6a193e0597a44869d654226d5c6024e | 1 | short_answer | Find the remainder when a $$99$$-digit number $$928928928\cdots 928$$ is divided by $$9$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | aad63064de384c75967ad2fe1ab5fc65 | 0 | short_answer | In the equation below, what is the value of $$\oplus$$? $$\oplus \times 9 + 47 - \oplus = 84+27$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems->Replacement of Equivalent Substitution"
] |
2023-07-07T00:00:00 | d8e38e05e8d54b2da8f23e0d88ae7907 | 1 | short_answer | In a survey in which $$5000$$ people take part, $$1500$$ incorrectly identify $$1$$ as being a prime number. What percentage of the people who took part in the survey incorrect identified $$1$$ as being a prime number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate"
] |
2023-07-07T00:00:00 | 077a03a4ff1146cf942d5c075e60786b | 1 | short_answer | The sum of three numbers is $56$. The average of the smallest two numbers is $14$ and the average of the largest two numbers is $22$. What is the median among these three numbers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | 2a141bb7917247d0940bb1bec7dc53e1 | 1 | short_answer | Circle the number that is \textbf{closest to} $2.5$. $3 2.1 2.494 2.449 2.51$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 0fbd2843bdcc4f0a895c0a1773ac180c | 1 | short_answer | Eliot buys some~\textquotesingle Sour Sweets\textquotesingle{} bars which cost $12$p each. He pays for them with three £$1$ coins. Maya buys the same number of \textquotesingle Chocolate Drops\textquotesingle{} bars which cost $17$p each. She pays for them with four £$1$ coins. They each receive the same amount of change. Work out how many bars each person bought. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | e771bc7cbc15407692c34b8827ae5c9c | 0 | short_answer | Form the smallest $$4$$-digit even number with the digits given below. Each digit can be used at most once. | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | 2a41554ff61e4bf3b29916349e9d7f23 | 1 | short_answer | Angel has $10$ litres of orange juice. She wants to pour $$2$$ litres into each container. How many containers does she need? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity"
] |
2023-07-07T00:00:00 | c42ce86645884bed8f12c68ae8245158 | 2 | short_answer | In this year, the sum of ages of Jackson and Chloe is $$54$$. In $$3$$ years\textquotesingle{} time, Jackson will be $$5$$ times as old as Chloe. How old is Jackson $$3$$ years later? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 308dc425a3d44c09abe3d9fd91e8ec30 | 1 | short_answer | How many numbers are there between $$0 \sim 40$$ that consist digit \textquotesingle$$2$$\textquotesingle? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | 026a3697b867401aa50c1eed67be23fe | 0 | short_answer | Are the following two equations give you the same result? $$(1)$$ $$66\times2 + 66\times3=$$~\uline{~~~~~~~~~~}~ $$(2)$$ $$66\times5=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
2023-07-07T00:00:00 | 1feb10160f034a898eb973a9aac889c3 | 2 | short_answer | Amy and her family went to Chinese restaurant for dim-sum. The price of $$6$$ pork dumplings and $$4$$ buns was $$$92$$. The price of $$3$$ pork dumplings and $$1$$ bun was $$$41$$. What was the price of $$1$$ pork dumpling? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"
] |
2023-07-07T00:00:00 | b7fea9e98bef46af9acd40209ffe5387 | 1 | short_answer | Calculate: $$297+198+204+99$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"
] |
2023-07-07T00:00:00 | ada253044cf143859091a35ddb998f0b | 1 | short_answer | A taxi charges $2.5$ dollars for any drive up to $1.8$ km long and $1.2$ dollars for each additional kilometer. If it costs Ryan a total of $8.5$ dollars for a taxi drive, how long is the taxi drive? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Segment Pricing"
] |
2023-07-07T00:00:00 | c25c01f5db07454fba0a46c84f70815c | 1 | short_answer | A teacher is distributing $$80$$ apples to the students in her class. At least one student gets at least $$3$$ apples. How big is the class? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Simple Pigeonhole Principle Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | f7e855eea0fd468da4854a78b1524831 | 2 | short_answer | I have a pile of apples which contains less than 50 apples. If I put them into piles of 5, I have none left over. If I put them into piles of 6, I always have 3 left over. If I put them into piles of 8, I always have 5 left over. How many apples do I have? | [
"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 | 186bc13df3b24db5a2d94b621966fdd7 | 1 | short_answer | Some coloured balloons are decorated at the entrance of the park. It is known that there are twice as many red balloons as there are yellow balloons and three times as many blue balloons as there are yellow balloons, making a total of 150 balloons of the three types. How many red ballons are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | dfa5352c28124e0ebb6a359a752ef95f | 1 | short_answer | Calculate $648 \times 5$ | [
"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 | 7a0515a38a4e44bc9248081a392748cd | 1 | short_answer | Mom gave me half of her bars of chocolate, and I received $$8$$ bars of chocolate. How many bars of chocolate did Mom originally have? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 36675ac7266944a1a8727f6fe3dbe742 | 2 | short_answer | Some children go to the amusement park. They want to play bumper cars. Each big bumper car can hold $4$ children, while each small bumper car can hold $2$ children. $36$ boys play big bumper cars, and $12$ girls play small bumper cars. Every car is full. How many bumper cars do they need in total? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
2023-07-07T00:00:00 | 8f2c8b866334452790965d39bbf73bfd | 2 | short_answer | Julia\textquotesingle s mother is 36 years old. Her father is 42 years old. Given that Julia is 7 years old, in how many years will the sum of all their ages be 100?（⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 900f814eac484c948ddfe9ef92667f08 | 1 | short_answer | In order to convert from the imperial units ounces and pounds to the metric unit kilograms, you should use the following conversions: $$16$$ ounces $$= 1$$ pound $$2.2$$ pounds $$= 1\text{kg}$$ Newborn tiger cubs weigh about $$56$$ ounces. Circle the mass in kilograms which gives the best approximation of the mass of a newborn tiger cub. $$0.5\text{kg}$$~ ~ ~~$$1\text{kg}$$~ ~ ~ ~$$1.5\text{kg}$$~ ~ ~ ~$$2\text{kg}$$~ ~ ~ ~$$2.5\text{kg}$$~ ~ ~ ~$$3\text{kg}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight"
] |
2023-07-07T00:00:00 | a1c19e0170ab4067a75561de9f31246c | 1 | short_answer | Solve the following equation: $$x+25 \%x=200$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | d4f51ce9d1594b9dae05c831a2fa12b0 | 2 | short_answer | Calculate: $$5+6+7+\ldots\ldots+77+78+79+80+79+78+77+\ldots\ldots+7+6+5$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 5eb0c6d54ccd4e5192f0639fa9e61712 | 1 | short_answer | Work out $342 \times 24$ | [
"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 | 3cfe944baa5b44af9f73a9a9804766df | 2 | short_answer | A $$9$$-digit whole number $$\overline{abcdefghi}$$ is formed using digits $$1$$, $$2$$, $$3$$, $$4$$, $$5$$, $$6$$, $$7$$, $$8$$, $$9$$ without repetition. If $$A= \overline{abc}+ \overline{bcd}+ \overline{cde}+ \overline{def}+ \overline{efg}+ \overline{fgh}+ \overline{ghi}$$, find the largest possible value of $$A$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | f2784483b59048f78ecec37c0cf104ea | 1 | short_answer | During a sale, the price of a bag was $$$32$$ after a $$20 \%$$ discount. Henry was given a further discount of $$$4$$. What was the total percentage discount given$?$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] |
2023-07-07T00:00:00 | 79716db040e342488b8e0ca3c513ff69 | 1 | short_answer | Five people are standing in a row. If A wants to stand on the left side of B and B wants to stand on the left side of C, how many ways are there to arrange them? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 639d9d79e69d4eb784e27de0551d879d | 1 | short_answer | Calculate: $$\frac{2019}{3\times 10}+\frac{2019}{10\times 17}+\frac{2019}{17\times 24}+\frac{2019}{24\times 31}+\cdots +\frac{2019}{2012\times 2019}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | fdf926a10e994a328cedd41a2dba9645 | 2 | short_answer | Work out: $21 + 23 + 25 + \ldots.. + 155 + 157 + 159$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 4336ad7957714455a5e676bfde71730b | 2 | short_answer | Solve the puzzle below. $10\times10=1$ $11\times11=4$ $55\times55=?$ ?=~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Patterns of Expressions"
] |
2023-07-07T00:00:00 | 59c88edfb7be49da8035991eac68ecce | 1 | short_answer | Use the digits $0$, $1$, $2$, $3$, $4$, and $5$ to create as many six-digit numbers as possible. Order the numbers from smallest to largest. What is the $505^{\text{th}}$ number? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 8fa1eaa5b7fa4b98874b9e1f39b2e808 | 1 | short_answer | How many different three-digit numbers can be formed using the numbers $$0$$、$$2$$、$$3$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | f81850060b9546ac8c3d3601b6fcbdba | 1 | short_answer | Last week, a class of $$36$$ students took a Mathematics test. The average score of the class was $$89$$. The girls\textquotesingle{} average score was $$88$$ while the boys\textquotesingle{} average score was $$91$$. How many girls were there 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 | 6bef5aece1a847a6937f986da3d23922 | 2 | short_answer | Alice can do a job in $$40$$ days and Bob can do it in $$60$$ days. Now they\textquotesingle re working together, but Alice takes some days off in the middle of the job. If they finish the job by the end of the $$27^{}\text{th}$$~day, how many days does Alice take off? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | eea0bc5267ed47068ae3e77ef2b698e5 | 1 | short_answer | Calculate $546 \times ~4$. | [
"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 | 7ee4e5c971f5489dada98a446c456e7d | 2 | short_answer | Write down the common multiple of $$6$$ and $$9$$ that is smaller than $$50$$ but larger than $$20$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | b8879dc8433645f393f3d14ce8b21788 | 2 | short_answer | There is a total of $136$ balls. The ratio of the number of red balls to white balls is $1:2$. The ratio of the number of white balls to black balls is $3:4$. How many red balls are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Basic Units"
] |
2023-07-07T00:00:00 | 730403a00f674fff868250a995376cb4 | 1 | short_answer | Part of a number sequence is shown. $\cdots \cdots, 105, 120, 135,\cdots \cdots $ If these are the $7^{th}$, $8^{th}$~and $9^{th}$~values in the sequence, what is the $100^{th}$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 606a8457449743e08d9df3044b63e356 | 0 | short_answer | A drawer contains $$4$$ red socks and $$4$$ blue socks. What is the smallest number of socks you need to take out in order \uline{\textbf{to be sure}} that you have \textbf{\uline{at least}} one matching pair? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | 703de86e768447d88b6ebb7aeb638e8e | 1 | short_answer | Four years ago the combined age of $$3$$ dogs was $$24$$ years. What will the combined age be in $$2$$ years\textquotesingle{} time? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems->Sum of Ages"
] |
2023-07-07T00:00:00 | 640eb5c54e4c4b87a5a40a1c3e55b996 | 1 | short_answer | What is the eleventh square number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers"
] |
2023-07-07T00:00:00 | 371b5fe21e2e4a93b42f86daca04f7cf | 1 | short_answer | $5 297 + 7 345$ | [
"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 | c7d0858edd084447b5408a6df5a80275 | 0 | short_answer | \textbf{$$n$$~}is the answer to~$4^{2}\div2$. \textbf{$$n=$$}~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power->Understanding the meaning of Power",
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Mixed Operations of Multiplication and Division of Whole Numbers"
] |
2023-07-07T00:00:00 | 7db195e18e37456ca8f6e7f6ef27321c | 2 | short_answer | The ratio of the number of marbles Ryan had to the number of marbles Audrey had at first was $$2$$: $$7$$. After Ryan bought another $$20$$ marbles and Audrey gave away $$80$$ marbles, the ratio of the number of marbles Ryan had to the number of marbles Audrey had became $$1$$: $$3$$. How many marbles did Audrey have at first? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | cff9675f0a924539ac2ac9ce83a0a08d | 1 | short_answer | On a clock face, what is the angle between the hands at $$8.30$$? Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Reading the Clock"
] |
2023-07-07T00:00:00 | c530af2f48304f898bbec512de1ee00a | 1 | short_answer | After Justin ate 4 apples and his four little sisters ate 5 apples each, there were 20 apples left in the basket. How many apples were there in the basket before they ate? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | fe37a41678a645a88ee9bdcc3da1b86a | 1 | short_answer | Every student in a music group can play either piano or violin, or both. $$30$$ students can play piano; $$41$$ students can play violin, and $$15$$ students can play both. Find the number of students in this group. | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | a97028adbf254284ad53a804e526f05e | 1 | short_answer | $65$ beads are arranged in the following order: $$3$$ black, $$2$$ white, $$2$$ red, $$3$$ black, $$2$$ white, $$2$$ red\ldots\ldots{} How many black beads are there? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | f4489da9f1884801a10bcedceb12a47f | 1 | short_answer | If it takes you $$13$$ minutes to wash up in the morning, $$23$$ minutes to have your breakfast, $$8$$ minutes to pack the school bad and $$27$$ minutes to get from home to the school. The school rules require you to arrive at $$7.45 \rm{a.m.}$$ every morning, what\textquotesingle s the latest time you need to wake up? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem"
] |
2023-07-07T00:00:00 | efb92f40c4c44473bfcc2623df15f364 | 1 | short_answer | Calculate：$$60+59-58-57+56+55-54-53+52+51-50-49+\cdots+4+3-2-1$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 153332ac79b349408ebeb32bb8a75f24 | 1 | short_answer | $$489+375+92$$ | [
"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 | 7730e0dc2bae4994a062e0e494e4b937 | 2 | short_answer | There are some chickens, ducks and cows on a farm. The number of chickens is equal to the number of ducks. There are a total of $$51$$ heads and $$160$$ legs altogether. How many chickens are there on the farm? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 8d5b99e07c77482abfe53cb919364656 | 1 | short_answer | $4.2+7.8+7.5-2.5=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 11f6f29725ad4c4dacb24f94de454b8a | 1 | short_answer | Freda has a large bag of coins, containing lots of $$1$$p, $$2$$p and $$5$$p coins. Using exactly $$2$$ coins, she can make the following totals: $$2$$p $$= 1$$p $$+ 1$$p $$3$$p $$= 1$$p $$+ 2$$p $$4$$p $$= 2$$p $$+ 2$$p $$6$$p $$= 1$$p $$+ 5$$p $$7$$p $$= 2$$p $$+ 5$$p $$10$$p $$= 5$$p $$+ 5$$p 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 | b440fab9ebc4484292e18843c0eaa0f9 | 3 | short_answer | There are four entrances to a high speed railway station. Joe, Mike and Tina are going to enter the station to take the high speed railway. Joe and Mike cannot join the same entrance. The order in which the three people enter the station is uncertain. How many different ways are there for them to enter the station? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 43077c3455b94d59a72275e377e21a52 | 1 | short_answer | A jug contains $$750\text{ml}$$ of orange juice, Rebekah drank $$\frac{1}{5}$$ juice, Abigail drank $$200\text{ml}$$ and Anna drank $$120\text{ml}$$. How much juice is left in the jug? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | ef5c87ebb60d47efb47ffb24ab3fdaa4 | 1 | short_answer | Calculate the following percentage of a quantity $$75 \%$$ of $$90$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Converting Between Fractions, Percentage and Decimals"
] |
2023-07-07T00:00:00 | 71354999b1864945830241cc90cefcff | 1 | short_answer | In $$1866$$, the yacht Henrietta $$-$$ with Gordon Bennett aboard $$-$$ won the Great Ocean Yacht Race, travelling a distance of approximately $$3000$$ nautical miles. The winning time was $$13$$ days and $$22$$ hours, to the nearest hour. What was the yacht\textquotesingle s average speed in nautical miles per hour, to the nearest integer? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions",
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Time",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 1d807b2a160d43e5ab284c4f23b30f90 | 1 | short_answer | $$2\text{L}$$ of a fruit punch that contains $$40 \%$$ fruit juice is mixed with $$3\text{L}$$ of another fruit punch that contains $$70 \%$$ fruit juice. Find the concentration of the new mixture. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] |
2023-07-07T00:00:00 | 0046d00874954b5eb9373fa247e7d3bb | 0 | short_answer | Work out $8.4 − 4.7 + 2.6 − 3.3$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Mixed Operations of Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | acfd2df07c9d4b9e8c8d0fd768515606 | 1 | short_answer | Work out $$2136\div8$$ 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 | 0153bfa01ade41859016fa9a0b48eb8d | 0 | short_answer | Determine the number of multiples of $11$ are between $50$ and $150$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | 4d4ad28089e14625a3c978c761454507 | 1 | short_answer | At a bus stop, men and women were waiting for their buses. When the first bus arrived, $$36$$ women boarded it and left. The number of women at the bus stop became $$\frac{3}{5}$$ of the number of men. Then, the second bus arrived and $$48$$ men boarded it. There is now an equal number of men and women still waiting at the bus stop. How many people in total were there at the bus stop at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 600418fdb9fd41ac90e4ae2ed38c4317 | 1 | short_answer | Janet had $1347$ stamps. She gave $339$ stamps to her sister. She then bought another $455$ stamps before giving away another $777$ stamps. How many stamps did Janet have in the end? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Complex Word Problems Involving Comparing and Ordering"
] |
2023-07-07T00:00:00 | e8307197fd5741a1bab5b7ce9faff12e | 2 | short_answer | Albert is standing directly behind Bella in a queue. There are $15$ people in front of Bella and $12$ people behind Albert. How many people are there altogether in the queue? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Two Characters"
] |
2023-07-07T00:00:00 | a5a5bc9b5a914f54b5a59cc324c4e470 | 0 | short_answer | What is the sum of the following numbers? $$17+21+36+23+4+49+10=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | ca6721b4076a459bbe0a58a7d219708a | 1 | short_answer | Write down a prime number that is between $20$ and $30$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Applying Special Prime Numbers->Commonly Used Prime Numbers"
] |
2023-07-07T00:00:00 | 4828afb807854856954b4952a48e470e | 1 | short_answer | Work out $36 \times 24$ | [
"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 | f826de035ab748bbbf391b6f382601be | 1 | short_answer | （UK January 2021 Merchant Taylor\textquotesingle s School Question \#$23$） Fatouma was asked how old she was. In reply she said, "In two years\textquotesingle~time I will be twice as old as I was five years ago." How old is Fatouma? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems->Difference of Ages"
] |
2023-07-07T00:00:00 | 5d81fd5bcb6d489fbca8914a372910a6 | 1 | short_answer | How many different ways are there to represent $14$ as the sum of three different non-zero natural numbers? Please list them one by one. | [
"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 | 5990abeaf2ef44129f8a7714654dd1c8 | 1 | short_answer | Calculate: $$\frac{1\times 3\times 8+2\times 6\times 16+3\times 9\times 24}{1\times 2\times 4+2\times 4\times 8+3\times 6\times 12}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Using Common Factors to Simplify Fractions"
] |
2023-07-07T00:00:00 | 646fcc0d8aca45c2b2efbaed5048a912 | 1 | short_answer | The height of the tallest student in Class $$\text{3C}$$ is $$132\text{cm}$$. The height of the shortest student is$$124\text{cm}$$. How big is the class size if at least $$4$$ students are of the same height? Assume heights to be in whole numbers. | [
"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 | f84e58b96fc548a9b8a2cc0247ee0d82 | 1 | short_answer | Jennifer bought three pens at 50p each. What change did she get from £5? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | e9d3605185b84231858a4ef516053885 | 1 | short_answer | Find the value of x：$$8.5-4(x-1.5)=2.5x+3(2.5-x)$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 15264635822b439b919be7d215630609 | 1 | short_answer | The library had a total of $$3154$$ English and Chinese story books. There were $$1849$$ English story books. How many more English story books than Chinese story books were there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | db91ac44fa344822983552e996da323b | 1 | short_answer | Fred and George are playing a game. Here are the rules: 1. There are $15$ oranges placed on the table. 2. They each take turns removing oranges. In each turn, the player must remove $1$, $2$, or $3$ oranges. 3. The player who removes the last orange wins the game. If Fred goes first, how many oranges should he take in the first turn so that he can make sure he will win the game? | [
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Game Strategy"
] |
2023-07-07T00:00:00 | 0760ea6011714945925169546bfe0c97 | 1 | short_answer | A cake is going to take $1$ hour $25$ minutes to cook. If I want it to be ready at $7.15$pm, at what time should I start cooking it? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | d87d77e43dab4026a154e8ec2beda138 | 2 | short_answer | Georgetown Elementary School organized a competition for its students. Those attending it are divided into three categories-\/-Go, Checkers and Chess. A total of $42$ students participated in Go, $55$ in Checkers, and $33$ in Chess. There were $18$ students who participated in both Go and Checkers, $10$ in both Go and Chess, $9$ in both Checkers and Chess, and $5$ in all three groups. How many students are there in the competition? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Three Sets"
] |
2023-07-07T00:00:00 | 8a63aa9572bb4412ae53e5439a7865ac | 1 | short_answer | Oliver is $$20$$ this year, and Lin is $$26$$ this year, so how many years later will their sum of age be $$48$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | c09507e96cc44da8898b1879faefbf61 | 1 | short_answer | Helen bought 16 train tickets and each train ticket costs £112. How much does she need to pay? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
Subsets and Splits