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timestamp[s] | queId
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stringclasses 5
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stringlengths 6
2.89k
| knowledge_point_routes
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 5a8b109d6748455c802ec8c38135b025 | 1 | short_answer | Work out~$12.4\div40$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | 888e7a05c66a49078a06713b83ca6ce1 | 1 | short_answer | Chloe and Gordon had an equal amount of money at first. Chloe spent $$ $20$$ each day and Gordon spent $ $25$ each day. When Chloe had $ $157$ left, Gordon had $ $82$ left. How much did Gordon have at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | ed32aedbb2a34499a71cf190747aeb19 | 3 | short_answer | Student $$A$$ and Student $$B$$ both had a mathematic test. Student $$B$$ told student $$A$$ "If you gave me $$24$$ points, my result would be $$2$$ points less than yours." Student A told student B "if you gave me $$25$$ points, then my result would be $$5$$ times that of yours." What is the score Student $$A$$ got on the mathematic test? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 3900795ab2d94196ad395c7483e5c648 | 1 | short_answer | Work out $$813\times72$$. | [
"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 | 33e79ce7d01446d9a282b54a045a5e8e | 2 | short_answer | How many regions at most can $10$ identical circles divide the plane into? | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | c96b47bede684b9f8ba38d50dd4e1086 | 1 | short_answer | Thompson has $8$ bags. There are $4$ pens in each bag. How many pens does he have in total? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 678881c9e47f44f59d88da4a1055e2af | 0 | short_answer | Find the value of x：$$10-2\left( x-9 \right)=2x-4\left( 5-x \right)$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 0b8067aa5d3f4321a2018a93d46b6c9e | 1 | short_answer | How many ways can we write the number 14 as the sum of three different positive numbers? | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 57ff93a0b8da463fa5f80c4c21a775ee | 1 | short_answer | Two boxes, P and Q, each contain 3 jewels. When a jewel worth £5000 is transferred from P to Q, the average value of the jewels in each box increases by £1000. What is the total value of all 6 jewels? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | 27c967821aaa4f3f9ac178e7c395b919 | 2 | short_answer | How many consecutive zeros, beginning from the ones digit, are there in $$1 \times 2 \times3 \times4\times5\times \cdots \times9\times10$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders "
] |
2023-07-07T00:00:00 | a5905a83aea54ed7b0165353ec295c7e | 1 | short_answer | Alan bought $20$ melons for £$15$. $\dfrac{1}{5}$~of the melons were bad so he threw them away. He sold the remaining melons for £$1.50$ each. Work out Alan's profit. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts->Calculating Profit from Cost and Price"
] |
2023-07-07T00:00:00 | 7ce4a67e0ab846d8bd1eb78dffb57e9e | 1 | short_answer | Rei bought $$150$$ oranges and $$100$$ apples for her neighbours. She divided the oranges equally among them and had $$17$$ oranges leftover. She also divided the apples equally among them and had $$5$$ apples leftover. How many neighbours were there? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | a2a533fc1c424f969f5fae611daad3e8 | 2 | short_answer | Rob draws a line that measures 10cm. He draws a cross at the beginning and end of the line and then draws a cross every 1 cm along the line. How many crosses does he draw in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 52bacc6ef48b44b8bc4d02992a7b6173 | 1 | short_answer | $8.7 \times 3.4=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 9ed7da1b104344da81a0dc411168159e | 0 | short_answer | Fill in the box. $$6.23-\square=5.72$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | ee0568f16c2b4ce48ef303d392601ff8 | 1 | short_answer | Oscar hung up $75$ balloons in his house according to the following pattern "red, red, green, yellow, yellow, green $$\cdots $$". How many green balloons did he hang up? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems"
] |
2023-07-07T00:00:00 | 684f885693764340afae67d6e64e96ab | 1 | short_answer | Sandra had more marbles than Jessica at first. After Sandra gave Jessica $$13$$ marbles, Sandra had $$6$$ fewer marbles than Jessica. How many more marbles did Sandra have than Jessica in the beginning? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Giving and Receiving"
] |
2023-07-07T00:00:00 | 07c7c85bda4847ceafa321fc737bd219 | 1 | short_answer | There are some lamp posts along a street at equal distances apart. The distance between the $$1$$st and the $$6$$th lamp post is $$60\textasciitilde\text{m}$$. What is the distance between the $$1$$st and the $$9$$th lamp post? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | ce622d4ae66d44e1bcc0df82fbe961fc | 1 | short_answer | In a chess league there are $$3$$ teams and they all play each other once. How many matches are there altogether? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition->Single Cycle Race"
] |
2023-07-07T00:00:00 | e29e4f297900441f9110516bd6b642d0 | 2 | short_answer | James has $3$ bags of strawberries. There are $15$ strawberries in the first bag, $27$ strawberries in the second bag, and $19$ strawberries in the third bag. James decides to distribute some boxes of $8$ strawberries among his friends. After distributing some boxes, he finds that he does not have enough strawberries to make another box. How many strawberries has he left? | [
"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 | 0edc4483e1764691b7f15e9bedcc4156 | 1 | short_answer | Dani wrote the integers from $$1$$ to $$N$$. She used the digit $$1$$ fifteen times. She used the digit $$2$$ fourteen times. What is $$N$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | 33e6fe50af554266b27e4c2074a6a3f9 | 0 | short_answer | Kate bought some pieces of candy. She ate $$\frac{1}{3}$$ at home and brought the rest to school. She shared the candy with her seven friends so that each friend received $$26$$ pieces of candy. If Kate left with $$22$$ pieces of candy, how many pieces of candy did she initially buy? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 14e3978e40d049dbad0dcf4a4cf738df | 1 | short_answer | In a building with $$25$$ floor, Andy and Bob are competing to climb the stairs. Each of them climb at aconstant speed. When Andy reaches the $$9^{th}$$ floor, Bob reaches the $$5^{th}$$ floor. At this rate, when Andy reaches the top floor, Bob will be at which floor? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 66aa3aec53fa48d1aa6897cfab540921 | 1 | short_answer | Two-thirds of $\square =8$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"
] |
2023-07-07T00:00:00 | 0f48eb78665e4e5ba3b372be6f2eab93 | 1 | short_answer | Find the value of $$m$$. $$\overline{12m}=9\times \overline{1m}-2$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | 25e5a7db39a14e5080bf1594f85931a6 | 2 | short_answer | James is typing words. If he keeps the original speed, he can finish the work in $3$ minutes; but if he types $30$ more words per minute, he can finish the work $1$ minute earlier. How many words does he need to type in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems"
] |
2023-07-07T00:00:00 | 593a8f96d20c408d86fda58e89c71746 | 1 | short_answer | There are $$10$$ lights in the classroom and they are labeled $$1$$ to $$10$$, but none of them are on now. Ms. Lily came to the classroom and started pressing the switches from the one which labeled as $1$, pressing one every other one alternatively in order. Then Sam pressed each of the switches marked with an even number of lights $$7$$ times. How many lights that are on now? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"
] |
2023-07-07T00:00:00 | fc7f764e9d664c45bf77553a3e6315b8 | 2 | short_answer | Pail $$A$$ contains $$\frac{2}{3}$$ as much water as Pail $$B$$. When $$4$$ litres of water is poured from Pail $$B$$ into Pail $$A$$. Pail $$A$$ will contain $$\frac{7}{8}$$ as much water as Pail $$B$$. What is the total amount of water (in litres) in both pails? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | eefc87844ecc4f2285ce5feedafa6913 | 2 | short_answer | A worm is staying at the bottom of a well with a depth of $$8$$ metres. If it climbs up $$3$$ metres in the daytime and slips down $$2$$ metres at night, which day will it climb up to the ground? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 2891d5c6bf714aaaaf484ccacdcf4660 | 1 | short_answer | A table cost two times as much as a chair. Two tables and three chairs cost ＄$$280$$. How much does each table cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 0442d07405364ff5bc82f86bcabbc881 | 1 | short_answer | The sugar content of a $$900\text{ml}$$ bottle of rose syrup is $$6 \%$$. How much sugar must be added to the bottle such that the sugar content becomes $$10 \%$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Solving Concentration Problems with Equations"
] |
2023-07-07T00:00:00 | 841da503f5384dbabdbc92f2a781fe22 | 1 | short_answer | A seamstress can make $$2$$ dresses in one day. How many dresses can $$2$$ seamstresses make in $$9$$ days?(Assuming both are able to make $$2$$ dresses in one day.) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 957e833104764c96b1f4eea0f026e06f | 1 | short_answer | Eddy is solving the following Math question. A factory needs to make $$100$$ spare parts. The factory has already made $20$ spare parts in the past $$2$$ hours. Assuming the same speed, how many more hours will the factory need to finish the remaining amount of spare parts? Below is Eddy\textquotesingle s working: In $1$ hour $$\rightarrow20\div 2=10$$ spare parts Time needed $$\rightarrow100\div 10=10$$ hours Is Eddy correct? If not, show the correct working and find the answer. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems"
] |
2023-07-07T00:00:00 | b18d474df71d462c9b1d16e929a17ca3 | 1 | short_answer | A large chocolate bar costs $$50$$ pence. How much do $$4$$ bars of chocolate cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | a9df9fef73994fa0adfd6c7233026811 | 1 | short_answer | There are $$5$$ red, $$5$$ white and $$5$$ yellow balls in a bag. Without looking into the bag, at least how many balls must be drawn so that there will definitely be $$3$$ \uline{different} coloured balls? | [
"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 | 53629bc84abc46a99608abaf3f651c5c | 1 | short_answer | A school buys $$720 $$ books for Grades 4, 5 and 6. The number of books in Grade 5 is $$4$$ more than twice of that in Grade 4, and the number of books in Grade 6 is $$8 $$ more than $$3$$ times that in Grade 4. How many books does Grade 6 get? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 94b2228e40b74d7c81c5e89a014088b7 | 2 | short_answer | At a Christmas party, the teacher asks students to take out $$2$$ glass balls from a bag with many glass balls in it. These glass balls are exactly the same in shape, size and texture. But they are in $$5$$ different colors as red, yellow, white, blue and green (students cannot see the color before they take balls out). There is an interesting finding: there are always $$2$$ people who have taken out the same kind of balls. There are at least~\uline{~~~~~~~~~~}~people who participate this activity. | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations"
] |
2023-07-07T00:00:00 | 028b46b0fbd045fa90a02a752e75494c | 2 | short_answer | Numbers are drawn from the $$32$$ integers $$10$$ to $$41$$. At least how many number(s) is/are drawn at random to ensure that there are two numbers whose product is divisible by $$4$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"
] |
2023-07-07T00:00:00 | d432ce5fae8d408da28df3d9a18e9baf | 2 | short_answer | Hisham and Melissa had $$876$$ cards. Melissa had twice as many cards as Hisham. How many cards should Melissa give Hisham so that both of them have the same number of cards? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | cfb59b638eb341b18ad204a7ce303359 | 1 | short_answer | Work out $$20504\div8$$ 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 | 6a23c9856a834221b62e63996c06f972 | 1 | short_answer | A sequence goes up by the same amount each time. The first term is $5$ and the third term is $19$, what is the common difference in this sequence? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 0370e917ba5444c99e91df970a15bb74 | 2 | short_answer | Gary has a piece of rope that is 2 m 20 cm long. He cuts it into two equal pieces. How long is each piece? Write your answer in cm. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 555f0cafaf514767b0fe800156cb0727 | 1 | short_answer | Emily bought 195 cakes for the party and each cost cakes costs £46. How much does she spend for cakes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | 4a1f680de9ae4c519ea93c401f8702e6 | 2 | short_answer | Calculate: $$(1+0.23 +0.34)\times (0.23 +0.34+0.45)-$$ $$(1+0.23+0.34+0.45)\times (0.23 +0.34)$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Substitution Method of Decimals"
] |
2023-07-07T00:00:00 | 284c25d3574441a78eaf010240003c8c | 1 | short_answer | Calculate: $$50\times 50+49\times 51+48\times 52+47\times 53+46\times 54$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas-> Difference of Two Squares Formula->Applying Difference of Two Squares Formula Reversely"
] |
2023-07-07T00:00:00 | 6196c646546f4ef5bf8c9473472fe841 | 1 | short_answer | What is the product of the smallest two-digit prime number and the largest two-digit square number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Applying Special Prime Numbers->Commonly Used Prime Numbers",
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Questions involving Square Numbers"
] |
2023-07-07T00:00:00 | aa9463208898426a81ae9e66616bff47 | 1 | short_answer | $\dfrac{40}{ +5}=5$ | [
"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 | 7a03810f71064f1b8a00a0c741b7d68e | 3 | short_answer | On his $14$th birthday, Brian\textquotesingle s father was $41$. Brian noticed that his age was the reverse of his father\textquotesingle s age. How old will Brian be the next time his age is the reverse of his father\textquotesingle s age? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Questions Involving Applying Place Value Principle",
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems->Difference of Ages"
] |
2023-07-07T00:00:00 | 6c18ef58e8b240a0b1d815b125d4e754 | 0 | short_answer | $9\div0.2$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
2023-07-07T00:00:00 | 0249d770955143e49182729ffbddfa3d | 1 | short_answer | Suppose that 1 U.S. dollar is worth $0.96$ euro. Sherry is traveling in Europe, and she wants to buy a cup of coffee, which costs $4.8$ euros. How many U.S. dollars does the cup of coffee cost? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 7f0edbf8e5cb484f87961218f9db99d0 | 2 | short_answer | If $a,b,c,d,e,f,g,h,j$ represents different digits from $1$ to $9$ such that $a+\frac{b}{c}+\frac{d}{e}\times f-\left(g+\frac{h}{j} \right) = N$, where $N$ is a whole number. Find the largest possible value of $N$. | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles"
] |
2023-07-07T00:00:00 | 105d3ea760424235a98e71c0d8ca6303 | 1 | short_answer | Given that three natural numbers $$A$$, $$B$$ and $$C$$ (the numbers can be the same) have a sum of $$19$$, find the largest possible value of $$A\times B\times C$$. | [
"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 | 020a47d927424600b54866be0f9e7377 | 3 | short_answer | A school library had $$3900$$ books. The ratio of the number of Chinese, Malay and English books is $$4 : 3 : 6$$. When the school bought $$510$$ new books, the number of Chinese books increased by $$20$$\% and the number of Malay books increased by $$10$$\%. Find the percentage increase in the number of English books. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 6a75c42493d548a6833f83188863c29b | 1 | short_answer | Duncan bakes some banana cakes. He can distribute them equally to either $$12$$ or $$56$$ friends with no remainder. What is the smallest number of banana cakes he could have baked? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 51c43a6b56234d0e83f79c035496cdfc | 1 | short_answer | A total of $12$ juniors and $8$ seniors participated in Sports Day. Given that the average score of the juniors was $10$, and the average score of all the $20$ participants was $14$, find the average score of the seniors. | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | 062deceefd35411f997b29c901129f1c | 1 | short_answer | A number when rounded to the nearest hundred is $$9700$$. What is the smallest possible value of the number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers"
] |
2023-07-07T00:00:00 | 0c10d6b8653d43ff821582cda7ac2c32 | 1 | short_answer | Four years ago the combined age of the 2 dogs was 10 years old. What will the combined age be in 2 years? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 7e469a60ae594c1eb1c906000dd9e1b3 | 3 | short_answer | Woody organised a quiz night in the toy room. He asked $25$ questions. For each correct answer you gained $4$ points. For each incorrect answer you lost $2$ points. For each question you did not attempt you scored $0$ point. Rex answered all but one of the questions and got a score of $66$ points. How many correct answers did he have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis->Deducting Marks"
] |
2023-07-07T00:00:00 | 38dff589122e45f682f4fbac9629ef22 | 1 | short_answer | Mochi attended a Geology Competition which had $90$ questions. Mochi answered $60 \%$ of them. For each correct answer, Mochi will get $5$ marks. However, for each wrong answer, Mochi will have $2$ marks deducted. For each unanswered question, one mark would be awarded. If Mochi scored $264$ marks in total, how many questions did Mochi answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | 61ca6c49f97240f88a3d539f152d6ee5 | 1 | short_answer | Mr Andy has some apples and $$10$$ containers. No matter how he distribute the apples, there will be a container that will have at least $$2$$ apples. What is the least number of total number of apples in all the containers? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | ad17dd64f37241d8a7ec221ca69a178b | 1 | short_answer | Calculate：$$0.\underbrace{00\cdots \cdots 0}_{2018\textasciitilde of\textasciitilde0s}1058\div 0.\underbrace{00\cdots \cdots 0}_{2019\textasciitilde of\textasciitilde0s}92$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | 158af0779d9e4980a24fe0fec884683c | 1 | short_answer | Tiara can make $160$ cookies using $50$ grams of butter. How many grams of butter does Tiara need to make $300$ cookies? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 85cb1cd4dcbe4dca96112c2906555a7c | 1 | short_answer | $15.9 \times 2$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | f4f1fe067a974d22bfe3b0f49a7ee798 | 1 | short_answer | Dedra had $$4$$ times as much money as Timm at first. Both received $ $$$$72$$ each. Now, Dedra has twice as much money as Timm. How much money did Dedra have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Questions Involving Varying Multiples"
] |
2023-07-07T00:00:00 | eb93ba1f7aac42b6a7670ab7c76772c4 | 1 | short_answer | If we write whole numbers starting from $$1$$ to form a $$1000-$$digit number $$N$$ as follows: $$N=12345678910111213\cdots$$ , what is the unit digit of $$N$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Sequence Operations"
] |
2023-07-07T00:00:00 | 33c000792028428a9334d9f3595c547f | 0 | short_answer | Fill in the box. $3\times\square-2=19$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | 748996495b98460c9ede4e3d079565a2 | 1 | short_answer | Jane is $5$ years older than Jack. If the sum of their ages is $33$. How old is Jane? | [
"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 | 6c63bbe1764848a7a7edbe24ddc026e9 | 1 | short_answer | Scientists were studying the amount of vitamins $$\rm A$$, $$\rm C$$, and $$\rm E$$ contained in fruits. Every type of fruit investigated contained at least one of the three vitamins. It was found that there were $$62$$ types of fruit containing vitamin $$\rm A$$, $$90$$ types of fruit containing vitamin $$\rm C$$ and $$68$$ types of fruit containing vitamin $$\rm E$$. In addition, there were $$48$$ types of fruit containing both vitamin $$\rm A$$ and $$\rm C$$, $$36$$ types of fruit containing both vitamin $$\rm A$$ and $$\rm E$$, and $$50$$ types of fruit containing both vitamin $$\rm C$$ and $$\rm E$$. Furthermore, there were $$25$$ types of fruit containing all three types of the vitamins. How many types of fruit were studied? | [
"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 | 390c6b384a7c47feba87ecb9961bf4c4 | 0 | short_answer | $$6.91-0.13$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 26973dde1699489cb5a3ca2bb878350e | 1 | short_answer | Louis is lining in a row to get on the train. There are $23$ people in the row. There are $14$ people behind him, How many people are in front of him? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 6a9590e4dc124affafcabb1bb2c4dbf3 | 1 | short_answer | $257.36\div0.4$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | bfaf5aa76fe74c98aade35dd2f53d568 | 2 | short_answer | There are $$18$$ pupils in a hall. How many ways can $$3$$ pupils be seated in a row? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Questions Involving Permutations and Combinations ",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 9561236e6a034115a599777cf75dad5c | 0 | short_answer | $$6.31-3.2$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 9874ade3ca974e3a9cbed1309bdbedc8 | 1 | short_answer | Kevin\textquotesingle s monthly salary is $1.4$ bitcoin. Kevin owes Robin for $5.04$ bitcoins. How many months does Kevin need to work to pay his debt? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | d60abe09efb64d48bd30a37956fbb0c9 | 1 | short_answer | Jack is $$4$$ years old. Jason is older than Jack. Bruce and Willie are of the same age as Jason. The total age of the $$4$$ children is $$19$$ years. How old is Jason? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Sums and Multiples in Age Problems"
] |
2023-07-07T00:00:00 | 1cf4ab67a6aa43e2b4e76978de4840ad | 1 | short_answer | Andy gave some erasers to his friends. If each of them received $$5$$ erasers, he would have $$3$$ erasers left. If each of them received $$6$$ erasers, he would be short of $$2$$ erasers. How many erasers did Andy have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Basic Distribution Problems"
] |
2023-07-07T00:00:00 | 6a64f533a5b44e0a81122bb8514d9b21 | 1 | short_answer | Jake is John\textquotesingle s father. The sum of their ages is $$44$$. In $$14$$ years, Jake will be twice as old as John. How old will John be in $$14$$ years? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | b999190a8cc2489a92311c186296685f | 0 | short_answer | Jonathan has three times as much money as Veronica. Veronica has ＄$$9$$. Rachel has＄$$48$$ more than Jonathan. How much money does Rachel have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 4d93eb426c534eb2b0fcd1e85de53d1d | 1 | short_answer | You deposit some money into an account which earns $6 \%$ annual interest. If you can withdraw $2360$ dollars from this account after 3 years., how much do you need to deposit now? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | c65b1dcd5d9542dc8301c97e47a9f794 | 1 | short_answer | There was an old woman who lived in a house. She had 9 children at regular intervals of 15 months. The oldest is now six times as old as the youngest. How old is the youngest child? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 57e7b37a36d64b3ea1c8eaf24798521c | 1 | short_answer | Insert two pair of brackets to make the result of the equations smallest. $$15+5\times5+15-6+7$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | db674de270ac4711b415cc34c37f9aff | 1 | short_answer | Work out $2018-786$ | [
"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 | d1a297dde50e43a99002f159a8a8b64a | 3 | short_answer | What is the value of $$\frac{1^{2}+2^{2}}{1\times 2}+ \frac{2^{2}+3^{2}}{2 \times 3}+ \frac{3^{2}+4^{2}}{3 \times 4}+ \ldots + \frac{2007^{2}+2008^{2}}{2007 \times 2008}$$ when it is rounded to the nearest whole number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Splitting Terms and Finding the General Term->Splitting Terms of Fractions"
] |
2023-07-07T00:00:00 | 2763d0dc70154f8c927352d51849cbe4 | 2 | short_answer | Mr Turner\textquotesingle s combination lock has $$4$$ digits. When he changes the digit in the ones place to the first digit of the combination lock, he notices that the new $$4$$-digit number is greater than the original number by $$5877$$. What is the smallest original combination lock number? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 342cd5472a69472ab392495beba4ee8b | 1 | short_answer | Cayden and Jiaxiang have some sweets. Cayden has $$5$$ more sweets than Jiaxiang. If Cayden gives Jiaxiang $$10$$ sweets, what will be the difference in number of sweets they have now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | fd0626678d7e40de84c59fc2f0b662e1 | 1 | short_answer | $2.5\times7.7+0.25\times23=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Distributive Property of Decimals"
] |
2023-07-07T00:00:00 | 28b3d4a0798e4f5d952dbe5322188194 | 0 | short_answer | Determine the number of multiples of $11$ that are between $50$ and $150$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | 1ebf8cccb54b4188b3cdecb0ff9b3e1b | 1 | short_answer | Calculate: $$75\times 0.29+75 \%\times 74-0.3\div \frac{2}{15}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 3a0b88faf37e4067b5a697aa6c171c8d | 2 | short_answer | Mary is in a small class of $$6$$ pupils, but was absent for the Maths test last week. The other five pupils scored an average of $$72 \%$$. Mary wrote the test this week and, with her score included, the class average went up to $$75 \%$$. What mark did Mary score on the test? Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | e1cf756e61684775af46c3970f3ab17f | 1 | short_answer | A train with a length of $$200$$ $$\text{m}$$ is moving at a speed of $$60$$ $$\text{m/s}$$. Find how long it takes for the end of the train to cross a bridge with a length of $$220$$ $$\text{m}$$. | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 176806bd2d38491fb95d4bb561a6bcc2 | 2 | short_answer | Mrs Tan sold $$200$$ cookies in a day. She sold $$\frac{1}{5}$$ of the cookies in the morning and $$\frac{3}{4}$$ of the remainder in the afternoon. How many cookies did she sell in the afternoon? Pip\textquotesingle s answer:~$200\times\dfrac{1}{5}\times\dfrac{3}{4}=30$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 439376d5d90d4b149b7e06233ef1f948 | 1 | short_answer | Fatimah thought of a $$3$$-digit odd number. The number was divisible by $$9$$. The digit in its tens place was divisible by $$4$$. What was the greatest possible $$3$$-digit odd number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders",
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers"
] |
2023-07-07T00:00:00 | a9f9d09538154b1e94723a8e9651f18f | 1 | short_answer | Tiger wants to distribute $11$ identical doughnuts to four students. If each student is required to get at least one doughnut, how many ways are there to distribute the coins? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 2610ab8c39aa47039e5d5e3e44e751e3 | 1 | short_answer | The wet market is $48 \rm m$ from Auntie Lina\textquotesingle s house. Auntie Lina can walk $8 \rm m$ in one minute. How many minutes does it take her to reach the wet market? Aunt Lina thinks that she just need \textbf{$$5$$} minutes. Her working is done below: Minutes took===\textgreater$$48\div 8 = 5$$ Is she correct? If she is wrong, write the correct answer. | [
"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 | 850576e4f94e42508fc4e975ba331970 | 1 | short_answer | There are $$4$$ red, $$7$$ green, $$6$$ blue and $$2$$ orange marbles in a bag. Jane is blindfolded. How many marbles must she draw from the bag so that there are guaranteed $$4$$ different coloured marbles? | [
"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 | e3d851587fc14bcdbe8c7bfda9cd6200 | 1 | short_answer | Angela visited a newsagent and paid for her items with a five pound note. When she received her change there were five coins, each of which was different and the value of each was a multiple of $5$ (in pence).How much did she spend? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 16953792ef8c48809eac37a4caf5d3f5 | 0 | short_answer | $0.2 \times 7 =$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | e81257a894bf49f182de3109989a386e | 1 | short_answer | At midday in Moscow the temperature is $4$$^{\circ}\text{C}$. By midnight the temperature has dropped by $11$$^{\circ}\text{C}$. what is the temperature at midnight? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | 3d7b8c3bc3f54a2dbce551c74529dd16 | 3 | short_answer | David had a total of $$38$$ notes. The notes are either $$$2$$ notes or $$$10$$ notes. After he spent $$80$$\% of the $$$10$$ notes and $$75$$\% of the $$$2$$ notes on a fan, he was left with thrice as many $$$10$$ notes as $$$2$$ notes. How much did the fan cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] |
2023-07-07T00:00:00 | 04e3e33129dc4f65bfae11d6c879f614 | 1 | short_answer | Five bee hives can produce $$50$$kg of honey in a year. How many more hives are needed to produce $$90$$kg of honey in a year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of one Character in a Line"
] |
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