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timestamp[s] | queId
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stringclasses 5
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stringclasses 1
value | problem
stringlengths 6
2.89k
| knowledge_point_routes
sequence |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | 608176c2f8294c308bc2eb16e490831d | 1 | short_answer | Joann has $3$ coins, Sana has $6$ coins, and Nancy has $8$ coins. How many coins do they have in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 43898b2ed2594f919d1a1e91a9899bc8 | 1 | short_answer | Lucas and his mother depart from two places $$20$$ miles apart at the same time walking towards each other. The ratio of the speeds of Lucas to his mother is $3:5$. After a while, the distance between them is $$4$$ miles. How far does Lucas walk when they are $$4$$ miles apart? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | 9554ef69c62a485194537701b7cbafe1 | 1 | short_answer | What is the sum of the first 30 numbers of the following pattern? 50, 49, 48, 47, 46 $\cdots $ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 59500938d9aa429c963148ba7e8054ea | 1 | short_answer | Sandy needs $$12$$ pizzas to feed $$30$$ people. How many pizzas will she need to feed $$35$$ people? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | c28579adfb0e4c66af894392fda2aa03 | 1 | short_answer | $16$ basketball teams engaged in a single-round knockout competition. Winners between the $8$ pairs of teams will advance to the next round and compete again. Thereafter, the $4$ victorious teams continue to compete till there is only $1$ victor. How many rounds of competitions were there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 16eb3c5479c84e7488205bd06c552370 | 1 | short_answer | Marion earns twice the amount Julie earns. Ethan earns $5$ times the amount Julie earns. If the difference in pay between Marion and Ethan is $$$168$$, how much do the three of them earn altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 501a0a55ecd341dc996261f472d570c8 | 1 | short_answer | What number goes in the box? $\dfrac{\boxed{ \overset{ }{ }}}{5}$~of~$35 =21$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 496c9d2a7f38418389c85a6060857948 | 1 | short_answer | The kindergarten gave both the big and small class some fruits. Each student from the big class received $$2$$ apples and $$3$$ oranges. Each student from the small class received $$2$$ apples and $$2$$ oranges. In total, the kindergarten gave out $$48$$ apples and $$55$$ oranges. How many students are there in the small class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | 98fccede682543abb0a7e6ce6c0a6e69 | 3 | short_answer | How many of the natural numbers from $$1$$ to $$2016$$ are perfect squares after multiplied by $$72$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers"
] |
2023-07-07T00:00:00 | aebe8c69595b46bf9a87e30c9324afe4 | 1 | short_answer | A magician has $$69$$ wands and cards altogether. The number of wands is $$17$$ more than the number of cards. How many wands does the magician have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 3fc92a68dae34f66b6cd792e86640204 | 0 | short_answer | If $$1$$ lollipop costs $$5$$p, how much will $$10$$ lollipops cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | f44c4462b0f64bab846629402568bf16 | 1 | short_answer | Efron is $$30$$ years younger than Danny. The ratio of Danny\textquotesingle s age to Efron\textquotesingle s age now is $$8:3$$. In how many years\textquotesingle{} time will the ratio of Danny\textquotesingle s age to Efron\textquotesingle s age be $$5:3$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Varying Multiples in Age Problems"
] |
2023-07-07T00:00:00 | 71f696cfd5a84b80996ceb9957f484a3 | 1 | short_answer | At a party all the children were put into groups of $$5$$ to play a game. No one had to sit out. For another game they were put into groups of $$7$$. One child had to sit out. For the next game they were put into groups of $$8$$. One child had to sit out. How many children were at the party at least? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 665b5255c92349eb9ddeb5d93d37b49d | 1 | short_answer | Find the percent of change from $160$ to $40$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 29030dd68348449a8312e00b2527cb9e | 1 | short_answer | $$427 \times 100$$ | [
"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 | 70c940fee10b465a84d7c757aa018a9e | 1 | short_answer | Tiara can make $100$ cookies using $40$ grams of butter. How many grams of butter does Tiara need to make $150$ cookies? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 830a6979358f4071bfa17925dbf71666 | 1 | short_answer | Five pupils took a maths test. Here are their results: $27, 28, 26, 24, 20$ Calculate the mean mark | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly"
] |
2023-07-07T00:00:00 | 6718d58202814857b7fb4876e51e86b3 | 1 | short_answer | Johnson writes a sequence from $$1$$ to $$404$$. How many digit "$$4$$"s are there in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 418a9a3d03a942a4a2c621e1a1688350 | 1 | short_answer | Sophie has $13$ T-shirts, and she has $5$ more T-shirts than her sister. How many T-shirts does her sister have? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 46ab1acc8aff4e4fa30eb837311aab05 | 1 | short_answer | There are $$15$$ colours of pencils, $$20$$ colours of rulers and $$10$$ colours of pens in the stationery shop. If you can choose any two items (one colour from each item), in how many different ways can you choose them? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Questions Involving Law of Addition and Multiplication",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 4700822a4e3e41d3bd6cf4dda57b3084 | 2 | short_answer | The $$2018$$ Russia World Cup is the $$21^{\rm st}$$ FIFA World Cup. There are $$32$$ teams competing for the championship. The $$2018$$ Russia World Cup includes two stages, the group stage and the knockout round. At the group stage, the $$32$$ teams are divided into $$8$$ groups and a single round-robin tournament is run within each group of $$4$$ teams. After the group stage, two winning teams are picked from each group and join the knockout round, where the losing team is eliminate after each match. The top $8$, top $4$, top $2$, the winner, the runner-up, the third place and the fourth place are produced. How many games are played throughout the $$2018$$ Russia World Cup? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | eaa3534db535408eb1b161cbafa4af7a | 2 | short_answer | Ann thinks of a 3-digit number and notices that the first digit is one more than twice than the second digit, and the sum of numbers in all digit should be larger than 9 and smaller than 14. How many different numbers could she have thought of? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | d9a90dd46e1b4f7b8ea8abbd0d0cda50 | 1 | short_answer | The total cost of a tennis ball and racket is £$30$. The tennis racket costs £$28$ more than the tennis ball. How much does the ball cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference->Problems Involving Sum and Difference with Two Variables->Direct Sum and Direct Difference"
] |
2023-07-07T00:00:00 | 7f68a155e73c4da8811ddfc74a0de5bb | 1 | short_answer | $\dfrac{ -6}{6}=6$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Fraction and Decimal Coefficient"
] |
2023-07-07T00:00:00 | 90d54cf3746b403a998b30644e14ed6c | 2 | short_answer | $3$ apples and $2$ bananas costs £$1.25$ $1$ apple and $1$ banana costs £$0.48$ Work out how much it would cost to buy $5$ bananas. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Equivalent Substitution that cannot be Directly Calculated",
"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 | 67d603b406954580bb312d236cca3026 | 0 | short_answer | $$n$$ football teams play each other once. The total number of matches is $$15$$. Find the value of $$n$$. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 0c56c61f84034ba086b7ccfeb89c1dd8 | 1 | short_answer | How many factors does $$224$$ have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Theorem of the Number of Factors of a Number"
] |
2023-07-07T00:00:00 | c7dac16768af42858204c39c3827fc02 | 1 | short_answer | A number minus $$30 \%$$ of itself is 210, what is this number | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 49cdd6b806674d4aaf0cef8780f8f8cb | 1 | short_answer | There are $$15$$ colours for pencils, $$20$$ colours for rulers and $$10$$ colours for pens in the stationery shop. If you can choose any three items (one colour from each item), in how many different ways can you choose them? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Questions Involving Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | f55b7420a598495d8cb743d46cebb8de | 1 | short_answer | There are $10$ questions in a science competition. A person gets six points for a correct answer and loses two points otherwise (getting a wrong answer or skipping a question). Eddie answered all questions and got $44$ points. How many questions did Eddie answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | f7d16bba0eef40749220aeee30f11c1b | 1 | short_answer | $$2$$ pairs of shorts and $$3$$ T-shirts cost ￡$$26$$. $$2$$ such pairs of shorts and $$5$$ such T-shirts cost ￡$$40$$. How much does a T-shirt cost? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions",
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 129b35bd2e4c40649186f5cfd5e08f55 | 1 | short_answer | In an arts and crafts class, the students cut out some triangles, quadrilaterals and pentagons. All the shapes combined have $$394$$ sides. Among them, there are $$2$$ pentagons and the number of quadrilaterals is $$82$$ more than that of triangles. How many quadrilaterals are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | 661c4eed4a32448abe382838199f26bb | 1 | short_answer | Calculate: $$599999+59999+5999+599+59+5=$$~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Grouping in Fast Addition and Subtraction of Whole Numbers"
] |
2023-07-07T00:00:00 | 32b965ddd9334985a59c4e74953701c5 | 1 | short_answer | How many two-digits are there in which its tens place is larger than ones place by $3$. | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | 39341763d576440d9bf2d603ec9d0a28 | 1 | short_answer | A sequence of numbers which go up (or down) by a fixed amount each time is called an arithmetic progression (AP). For example, the sequence $1^{}\text{st}$term $= 5.8$, $2^{}\text{nd}$ term $= 6.0$, $3^{}\text{rd}$ term $= 6.2$, $4^{}\text{th}$term $= 6.4$ is an AP because the terms go up by $0.2$ every time. If the $1^{}\text{st}$ term of an AP is $0.3$ and the $2^{}\text{nd}$ term is $0.8$, find the $3^{}\text{rd}$ term. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 0568330ddd524498892da0859a5ec187 | 1 | short_answer | Rachel and Alice have some sweets. If Rachel gives Alice $10$ pieces of sweet, then they would have the same number of sweets. However, if they both eat $8$ pieces of sweet, Rachel has $3$ times as many pieces of sweet left over as Alice. How many pieces of sweet did they have in total originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 73f073ef77d3485a9e2db22b74b4d99c | 1 | short_answer | Four lamp posts are in a straight line. The distance from each post to the next is $$25\text{m}$$. What is the distance from the first post to the last? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides->Planting Trees on Both Sides"
] |
2023-07-07T00:00:00 | 842908b1fc5d4a659cac34d9f6c84d6b | 2 | short_answer | There are $$150$$ students in the level and they are divided into teams of three. It is found that: (i) There are $$15$$ teams with only $$1$$ boy. (ii) There are $$27$$ teams with two or more boys. (iⅲ) The number of all$$-$$boy teams is twice the number of all$$-$$girl teams. How many girls are there in the level? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Basic Computation of the Multiples"
] |
2023-07-07T00:00:00 | 184cf0c663e945deb8bdb09f3954a920 | 1 | short_answer | In the three digit number below the last two digits have been hidden $6**$ The three digit number is divisble by $$3$$, $$5$$ and $$7$$. What is the number? $$6$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples"
] |
2023-07-07T00:00:00 | cfc59e7dc0614196bfb7795914dacdef | 1 | short_answer | Calculate the following expression quickly and show your working! $$63-(55-27)$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | ae1a09d2d17649718463491e636b12d1 | 1 | short_answer | Amanda scores $36$ out of $40$ in a test. What percentage is this ? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 00c7ec21843b40aba2d39a75810ffc85 | 2 | short_answer | If Ben cycles from Town $$A$$ to Town $$B$$ at a speed of $$10\rm km/h$$, he will arrive at $$10$$ am. If he travels at $$15\rm km/h$$, he will arrive at $$8$$ am. At what speed must he cycle to arrive at $$9$$ am? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | bab688e90abc4ad7a664334dbd742c1c | 1 | short_answer | A fruit store bought a new batch of fruits, apples, peaches and pears in a total of $$73$$ kg. The apples weighed 5 kg more than 6 times the weight of the pears, and the peaches weighed 2 kg less than 3 times the weight of the pears. How many kilograms of apples were purchased for the fruit store? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 519312ec2beb41659919be97138e6ba6 | 1 | short_answer | Sandy multiplies $$2\times5\times7\times2\times5\times7\times2\times5$$ and writes the product as a whole number. What is the sum of the digits of this number? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 5bd7e5a5661d47afb0bef048489bb3fe | 1 | short_answer | Calculate $$61-34 $$ in the base $$7$$ number system. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases"
] |
2023-07-07T00:00:00 | c5e1085504df4fe38872ff3a46620cd6 | 1 | short_answer | 1 dog weighs as much as 8 rabbits. 1 rabbits weigh as much as 2 chickens. How many chickens weigh as much as 1 dog? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 233efeea19724a82bb0152f79a9c9ee1 | 1 | short_answer | Granny tells Dilly that her glove drawer contains $$1$$ left-hand blue glove, $$2$$ left-hand green gloves, $$3$$ right-hand blue gloves, and $$4$$ right-hand green gloves, and asks her to bring a pair of gloves from the drawer. Unfortunately Dilly cannot tell the difference between left-hand and right-hand gloves, but, thankfully, can identify blue and green. What is the smallest number of gloves that Dilly should bring, in order to be sure that these include a matching pair? Circle the correct answer. $$10$$~ ~ ~ $$8$$~ ~ ~ $$6$$~ ~ ~ $$4$$~ ~ ~ $$2$$ | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | 00d539f1b4db48d3b3494c0f120062fd | 1 | short_answer | A teacher is going to divide some candies among $$5$$ students, and each student will get $$12$$ candies. Now $$1$$ more student joins the group. How many candies will each student get after the candies are redivided? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | 80aa447385fb495cb5bf06d8c7b0fdda | 1 | short_answer | Raj is $138 \text{cm}$~tall and David is $170 \text{cm}$~tall. Jacob is half way between Raj's and David's height. Work out Jacob's height. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | dec3fb034aea47b1b73c5397fa7a6777 | 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 | 815b73a9e29e4090bfd993eec9cfa5f8 | 1 | short_answer | Lisa bought a bike for $1,20$ dollars. The bike depreciates at the rate of $4 \%$ per year. Find the value of her bike after $5$ years. ($0.96^{5} \approx 0.8154$, $1.04^{5} \approx 1.2167$) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 453da806d0d44938b0462fc02a292532 | 2 | short_answer | Students from Think-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 $52$ more boys than girls in total, find the total number of students. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | db9048b0a36740abaf853e98897fbb20 | 1 | short_answer | Eugene had $$3$$ times as many pins as Yuna. After Yuna bought $$76$$ pins, Yuna had $$\frac{7}{9}$$ as many pins as Eugene. How many pins did Eugene have? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 11200de7f462445fbdc06bbefca57a99 | 1 | short_answer | In how many ways can the letters in the word \textquotesingle REVISE\textquotesingle{} be arranged? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 4873bec7d2b148f0b1a8ce80aa0a60fa | 1 | short_answer | A six-digit number $$\overline{12345A}$$ is divisible by $$9$$. What is the remainder of this six-digit number when divided by $$4$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder ",
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders"
] |
2023-07-07T00:00:00 | 31d6392f86454fcfabd63010d5f7ac45 | 1 | short_answer | I am thinking of a number. It has a $$5$$ in the ones column, $$2$$ in the hundreds column and a $$8$$ in the tens column. Write down this number. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers"
] |
2023-07-07T00:00:00 | c347c951d6764ecabf96c472825de32c | 0 | short_answer | The normal price of a TV was £$480$ and then reduced by $35 \%$ in a sale. Work out the sale price of the TV. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | b381663c286a41b4b2c212c8d9fa625f | 1 | short_answer | $7.257 - 3.47$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 1edfbfb983cc4026861711aed39ec50b | 2 | short_answer | Kelly and Dan are playing a game. Here are the rules： 1. There are $$11$$ matches placed in a row. 2. The players take turns removing either $1$ or $2$ matches each turn. 3. Whoever picks the last match wins the game. Kelly starts first and is followed by Dan. To ensure her victory, how many matches must Kelly take away in the first turn? | [
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Game Strategy"
] |
2023-07-07T00:00:00 | 790337bbc4c640c2ba17ccfd95719755 | 1 | short_answer | In Bud\textquotesingle s garden, $$\dfrac{1}{2}$$ of the flowers are red. $$\dfrac{4}{7}$$ of the remaining flowers are pink. There are $$6$$ more red flowers than pink flowers. How many flowers are there in the garden? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | d7960525f20d4a85b2d07f16b77a89de | 1 | short_answer | Calculate:$$\frac{5\dfrac{1}{7}+3\dfrac{3}{11}+1\dfrac{13}{23}}{3\dfrac{3}{7}+2\dfrac{2}{11}+1\dfrac{1}{23}}$$． | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | c79974cfe3544139952b7aa20868fe35 | 1 | short_answer | Calculate: $$1^{2}+2^{2}+3^{2}+4^{2}+\cdots \cdots +15^{2}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1²+2²+3²+......+n²=1/6n(n+1)(n+2)"
] |
2023-07-07T00:00:00 | fcdca3fe5e6e44a3aaa6b8fc55320938 | 1 | short_answer | Three kids stand in a row to take group photos. How many different ways are there to arrange them? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 3e876b88a82f4fabb94444319efac888 | 0 | short_answer | Fill in the box. $$4\times\square-3=65$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | 354d850fc3c644989668ea964029af35 | 1 | short_answer | Mike has $$27$$ vehicles to service at his garage. Some are cars ($$4$$ wheels) and the rest are motorcycles ($$2$$ wheels). Altogether, the $$27$$ vehicles have $$78$$ wheels. How many cars does Mike have to service?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with Two Variables",
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Grouping Method->Multiples of Heads"
] |
2023-07-07T00:00:00 | 06bf4f7c67004f1dbe9f03b5dc14516d | 1 | short_answer | At first, Jason had $20$ stickers and Nicole had more stickers than him. After Nicole gave Jason $$18$$ stickers, Jason had $$5$$ fewer stickers than Nicole. How many stamps did Nicole have in the beginning? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Giving and Receiving"
] |
2023-07-07T00:00:00 | 9bf9b1c2a24e4de3a5ed1f6932581844 | 2 | short_answer | A cuboid was made using clay. Candy made some changes to the size of the cuboid. She increased the length by $$10 \%$$ and reduced the breadth to $$\frac{4}{5}$$ of the original breadth. The ratio of the new height to the original height is $$11:10$$. Express the new volume of the cuboid as a percentage of its original volume. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions",
"Overseas Competition->Knowledge Point->Geometry Modules->3-D Shapes->Cuboids and Cubes"
] |
2023-07-07T00:00:00 | 8d09ac1d8970471dbd6ed0727980bd24 | 1 | short_answer | There are enough $$2$$ grams and $$3$$ grams of weights. How many different ways to make $$77$$ grams? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Indefinite Equations"
] |
2023-07-07T00:00:00 | 2d748e0d6f544f23b0cf14359ab45b8f | 1 | short_answer | There are some children at a sports meet. $$176$$ of them are boys. There are $$50$$ fewer girls than boys. How many students are there altogether? There are~\uline{~~~~~~~~~~}~students altogether. | [
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Whole Numbers->Adding and Subtracting within 10000->Addition of 3-digit Numbers",
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Whole Numbers->Adding and Subtracting within 10000->Subtracting 2-digit Numbers from 3-digit Numbers ",
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"
] |
2023-07-07T00:00:00 | 3825adc1e7f941ebb2ac15ca5828613b | 1 | short_answer | During a $5$-km race, $9$ marshals are spread out in equal intervals along the route from the starting line to the finishing line. What is the distance between $2$ marshals? Give your answer in metres. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 33681430650f48419421a99318bdaf3d | 1 | short_answer | Bob bikes from his home to a cinema. He bikes at a speed of $180$ meters per minute for $6$ minutes. Then he feels tired and bikes at a speed of $120$ meters per minute for $8$ minutes and he arrives at the cinema. What is the distance between Bob\textquotesingle s home and the cinema in meters? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | c471960bec8946e69cab7ac7cb6411c3 | 2 | short_answer | A square wall is tiled with $400$ small square tiles of two colours, red and green. The outermost layer of the wall is tiled with red tiles, the second layer from the outside is tiled with green tiles, the third layer is tiled with red tiles again, and the fourth layer is tiled with green tiles again, and so on. Which colour of the tile is more on this wall? How many more tiles are there of the dominant colour? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | 52895a5f9c584889b60e514eea4cb012 | 1 | short_answer | When Teacher Jay recorded the scores of $7$ pupils, he made a mistake by writing one of the scores as $81$ marks instead of $18$ marks. As a result, Teacher Jay calculated the average score as $74$ marks. What should be correct average score for these $7$ pupils?~\uline{~~~~~~~~~~}~marks | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | e4b6fc33fb6044dbbf98541fd73229a3 | 1 | short_answer | Lily starts a savings account with $$6,000$$ at a bank. The interest rate is calculated at $$3 \%$$ on a yearly basis. How much interest will she earn in his savings account at the end of the second year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 27def3f9c6524488aff45fe308ba3df3 | 1 | short_answer | It takes me ten minutes to paint a picture. How many pictures could I paint in one hour and twenty minutes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 0f41145869544b529481d63e5b99081f | 1 | short_answer | Express $$1\dfrac{4}{7}$$ as a decimal correct to $$1$$ decimal place. | [
"Overseas In-curriculum->Knowledge Point->Knowing Numbers->Decimals->Converting Between Fractions and Decimals->Converting Fractions to Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Fractions into Decimals"
] |
2023-07-07T00:00:00 | c0156725df024018aed39df49f106ef3 | 2 | short_answer | In $$2014$$, Vastco sold $$68 \%$$ more widgets than Megacorp, but in $$2015$$, Vastco only sold $$44 \%$$ more widgets than Megacorp. Between $$2014$$ and $$2015$$, Vastco\textquotesingle s widget sales rose by $$32 \%$$. By what percentage did Megacorp\textquotesingle s widget sales rise between $$2014$$ and $$2015$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate"
] |
2023-07-07T00:00:00 | 4d04c9aca7b14fc0b67361f6a0e0bb64 | 1 | short_answer | Given that $\frac37=\dot{4}2857\dot{1}$. Find the $69\text{th}$ digit after the decimal point in the decimal form of $\frac{3}{7}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | a48c37c796244f69b5dd70e1b55e15d4 | 1 | short_answer | Ken bought a batch of goods that he hoped to earn a $$50 \%$$ profit after selling it. On the first day, he sold $$70 \%$$ of his goods at a profit of $$50 \%$$. On the second day, he sold all the remaining goods at a discount. If the total profit was $$82 \%$$ of the planned profit, what would be the discount rate on the second day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | b5d689e03b7a4370a956fabc41aa5767 | 1 | short_answer | Dylan has $300$ grams of a solution with a salt concentration of $35 \%$ and Daisy has $200$ grams of a solution with a salt concentration of $50 \%$. They mixed the solutions together. What is the concentration of the resulting salt solution? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] |
2023-07-07T00:00:00 | 53974104b6a9479d95d1207ebbf1bf13 | 1 | short_answer | Samantha has $$y$$ sweets. She gives half of them to her friend. Write an expression in terms of $$y$$ for the number of sweets Samantha has left now. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number"
] |
2023-07-07T00:00:00 | 5b136def7b58491b81995c72b9ad067a | 1 | short_answer | In a family with two sons and two daughters, the sum of the children\textquotesingle s ages is 55. The two sons were born three years apart, and the two daughters were born two years apart. The younger son is twice the age of the older daughter. How old is the youngest child? | [
"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 | ffba176a010a4d0187358ab3db7ff0b7 | 1 | short_answer | Jen has $$438$$ beads. Lily has $$195$$ more beads than Jen. How many beads do they have altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 4ed24c6d67bb4a53beeb3f3413937be2 | 1 | short_answer | The supermarket has stated that $$4$$ empty bottles of tea may be exchanged for $$1$$ new bottle. Customers are only allowed to borrow $1$ empty bottle. If Phoebe~bought $$48$$ bottles of tea, how many bottles of tea can she get in total? | [
"Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math->Fun Math Problems->Empty Bottles Swapped for Drinks"
] |
2023-07-07T00:00:00 | 7519f32e6df34b519be6057181658e4e | 1 | short_answer | Johnny wrote a long number sequence: $1, 2, 3, 4, 5,$ $$\cdots $$ $111, 112, 113$ on a piece of paper. He tries to find the number of digits he wrote by doing the following: $$9\times 1=9$$ $$99-10=89$$ $$89\times 2=178$$ $$113-100=13$$ $$13\times 3=39$$ $9+178+39=226$ Is he correct? If not, write down the correct calculations. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | c34210e64f26416da03013fc4f6aef91 | 1 | short_answer | During an amorous struggle, the lady\textquotesingle s pearls broke. ~Half of the pearls fell onto the floor; a fourth rolled under a chair; a sixth fell into her lap; and three pearls remained on the strand. ~How many were there originally on the strand? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | d7ccf6eb76b340b0a3ccd8caf9bcbfda | 1 | short_answer | If 3 workers take 3 days to build a wall, how many days will 1 worker take to build the same wall? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 7f30a1e297f84571b00d9e89bbef9c69 | 1 | short_answer | Work out $$124-76$$ Answer~\uline{~~~~~~~~~~}~ | [
"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 | 8bbc403c2d8f461cbbb29a4b072980aa | 1 | short_answer | Work out $548-45+23-107$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers->Questions Involving Addition and Subtraction"
] |
2023-07-07T00:00:00 | 698be5f0089b4737bfda189fa3acbd25 | 2 | short_answer | There are 3 entrances to a amusement park. Len, Joe, Angle, and Jack are going to enter the park to play. They can choose the same entrance, or different ones. Each entrance must be entered by at least one person. The order in which the four people enter the park is uncertain. How many different ways are there for them to enter the park? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 067a0a4f635849c888d2b3821c72eb84 | 2 | short_answer | There are 84 black rabbits, white rabbits and grey rabbits on the grassland. There are 14 more black rabbits and 2 fewer grey rabbits than white rabbits. How many white rabbits are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference->Sum and Differences Problems with multiple Variables"
] |
2023-07-07T00:00:00 | bc13cb301fa84f25ab114f928effbff4 | 1 | short_answer | John and his brother have a total of $$246$$ erasers. John has $$32$$ more erasers than his brother. How many erasers does his brother have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 477830e358774ebc992553d65daa5aed | 1 | short_answer | Which number between $$60$$ and $$80$$ is a multiple of both $$3$$ and $$8$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | 0ab634c3b8454930935d8d7eeae75287 | 1 | short_answer | Peter delivers $$100$$ glasses for a department store. He gets $$$1$$ for delivering a glass safely and pays $$$1$$ if he breaks one. If Peter can make $$$92$$ after delivering all glasses, he broke~\uline{~~~~~~~~~~}~glasses along the way. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 55d1c0e624b04989949990c12957fded | 1 | short_answer | There were a certain number of teams participating in a round-robin competition. A total of $45$ rounds were played between these teams. How many teams were there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 0205b2b75de94213a048023d3039d864 | 0 | short_answer | Mayank thinks of a number. He doubles it and then adds $$4$$ and gets the answer $$40$$. What was Mayank\textquotesingle s number? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | 64205cfac54a493583dddaf95648be2c | 1 | short_answer | Students in Class $$2$$ in Think Primary School go boating. If the number of boats reduce $$1$$, then each boat will take exactly $$9$$ people; if the number of boats add $$1$$, then each boat will take exactly $$6$$ people. How many people are there in the whole class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | e17967bd47d74eefa35caffacc4df30e | 1 | short_answer | Try and calculate: $$17-8\div (-2)+4\times (-3) = $$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"
] |
2023-07-07T00:00:00 | 5fa94c02c76e4dfcaadc3cece8a6370b | 1 | short_answer | If $$7$$ bananas cost $$98$$p, how much change would I get from £$$12$$ if I buy $$15$$ bananas?~ £~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 32ddbe1c6e04445387ccdb65a7acb10d | 1 | short_answer | The sum of three consecutive odd integers is $57$. Find the smallest among them. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
Subsets and Splits