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timestamp[s] | queId
stringlengths 32
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stringclasses 5
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stringlengths 6
2.89k
| knowledge_point_routes
sequence |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | ac392742b1ee4f6d953d5d00c6d023b3 | 1 | short_answer | Allison has $6$ fewer pencils than Ben. Eunice has thrice as many pencils as Ben. If they have a total of $74$ pencils, how many pencils does Eunice have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | 976d0ed32bf84f5083e1272cd57f3a72 | 1 | short_answer | London Library has $78$ books about fish. London Library has $12$ fewer books about birds than about fish. What is the total number of books that London Library has about birds and fish? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 4bc3c98e818346f4be4d3e3f73cdd332 | 1 | short_answer | A class has 44 students participating in competitions, 30 of whom participate in a math competition and 26 in an art competition. How many students participate in both math and art competitions? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | fe1ec268421740a592e27756f3a3f6ed | 1 | short_answer | A whole number multiplied by itself will give a special type of numbers called perfect squares. Example of perfect squares are $$9(=3\times3)$$ and $$16(=4\times4)$$. What is the smallest number that can be multiplied by $$28$$ to give a perfect square? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->Perfect Square Factorization"
] |
2023-07-07T00:00:00 | 762ea7c4f43b426abdae8d0c00523b6d | 1 | short_answer | A farmer wants to put a fence along one edge of his field, which is $480$ m long. Every $4$ m, a post is needed to hold the rails up. How many posts does he need? | [
"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 | 1daaad84df24455faa123c07aa34efd8 | 1 | short_answer | Given $$\overline{ab}$$ is a two-digit number and $$8\overline{ab}=3\overline{ba}$$. Find the value of $$\overline{ab}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | c49dc118c0ec4d2aa50863db0c43cc31 | 1 | short_answer | Andrew is three times as old as Louise. The sum of their ages is $84$. How old is Louise? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Sums and Multiples in Age Problems"
] |
2023-07-07T00:00:00 | d9d2b528c7a443f89a86e5b624e1ee62 | 1 | short_answer | Calculate: $$612\div34\times25=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
2023-07-07T00:00:00 | 9cd4bf4428bf41138128774d0ccd221a | 1 | short_answer | $$10+20+30+50+60+70-6-16-26-46-56-66=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 5e82be0f6fa64850ad780e72281f7277 | 1 | short_answer | Benson played for $$10$$ minutes after reaching home. He watched television for another $$20$$ minutes before taking his lunch. His lunch, which lasted for $$20$$ minutes, was finished at $$2.50$$ pm. At what time did Benson reach home? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 7ada23a33bc94088ae1ae8186b32007c | 1 | short_answer | In how many ways can $$6$$ students $$A, B, C, D, E, F$$ line up in a row if students $$A$$ and $$B$$ are always next to each other? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Permutations->Basic Operations of Permutations",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | d6fa863308bf4180b14d7c87b45ff7fe | 1 | short_answer | On a vast grassland, lives $64$ rabbits. Rabbits eat grass and give birth to baby rabbits. Each year, there are $5$ times as many rabbits as last year. On the other hand, half of the rabbits\textquotesingle{} total population die every year. How many rabbits will there be after $5$ years? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"
] |
2023-07-07T00:00:00 | 1463a32cbb5c44b19f250a84a1236899 | 0 | short_answer | The cost of taking a taxi is $6$ dollars per mile. The total fare is $y$ dollars and the distance traveled is $x$ miles. What is the relationship between the total fare and the distance traveled.(Write an equation relating the two variables) | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | dcab993860a143ab9ab270b31a317e8a | 1 | short_answer | What is the largest two-digit number that can be divided by $4$ and $5$ to get a remainder of $3$ ? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 6d5c4a1d978545239a3df4d8d35da342 | 1 | short_answer | Buzz is three times as heavy as Jessie. If Buzz is $450{\rm{g}}$ heavier than Jessie, what is the wejoht of Buzz in grams? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple->Differences and Multiples of Two Variables->Differences and Integer Multiples"
] |
2023-07-07T00:00:00 | c632ecf0b70c4dc68f095f11d53a2c48 | 2 | short_answer | If Peter walks up an up-going escalator at the rate of $$1$$ step per second, he is able to reach the top in $$10$$ steps. If he increases his rate to $$2$$ steps per second, he can reach the top in $$16$$ steps. Find the number of steps of the escalator. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | dabcd77349ae4d299a61e7caf4c19962 | 1 | short_answer | At a birthday party, there were $\frac{1}{4}$ as many red balloons as green balloons and $\frac{3}{5}$ as many red balloons as purple balloons. Each red balloon was $4$ grams, each green balloon was $5$ grams and each purple balloon was $7$ grams. The total mass of the balloons was $642$ grams. How many purple balloons were there?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | c530bf9072b44544be96e328b31dddec | 1 | short_answer | A teacher distributes $$138$$ sweets as evenly as possible to her class. How big is the class size if at least one student gets $$5$$ sweets? | [
"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 | 5dd30416f315499b8a0dbde91c6c41cf | 1 | short_answer | $$246\times135=33210$$.What is $$248\times135$$? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 63b0962a80a14f52b0f59716321e5cc1 | 1 | short_answer | Solve the equation below： $$34-3\left( 2x-2 \right)=16$$. $x=$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | dd6f7bdd1929429eadda217510a131e9 | 1 | short_answer | A road, $$500$$ $$\text{m}$$ long, is to be planted with trees at an interval of $$5$$ $$\text{m}$$. How many trees can be planted if trees are planted at both ends of the road as well? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | 8bb5257fccb34dadb3f706c8afa40ab1 | 1 | short_answer | Find the sum of $$3$$ tens, $$33$$ hundredths and $$300$$ thousandths. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"
] |
2023-07-07T00:00:00 | 728ef59836434ae1bf3a1b1506cf0b69 | 1 | short_answer | $$25 \% $$ of $$1200 =$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | a270f073fd714e96b31da30d7e7b2333 | 1 | short_answer | James is $$30\rm cm$$ shorter than his brother Mark. James is $$120\rm cm$$ tall. How tall is Mark? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | fc6ca0edb0d64b2c9a19de7afec2cf87 | 1 | short_answer | Mrs Kuma has a bag of $243$ stickers. If she gives each of her children $6$ stickers, she would be left with $3$ stickers. How many children does she have in her class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division",
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"
] |
2023-07-07T00:00:00 | 0f2e5c37cda24be7a26aca5a0cef0e9e | 1 | short_answer | Jon has $30 \%$ more money than Miguel and together they have $￡46$.~ Calculate how much money Jon has. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 296f5e0875b34350bfa03c591217b39e | 1 | short_answer | Ben has $$20$$ building blocks and decides to give a quarter of them to Sally. How many does Ben have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 52c6df5f73ca41218bfc3137351d2ab7 | 2 | short_answer | A~3-digit number has the following properties: (a) This number is divisible by~2~and 9. (b) The digits are all different even numbers. (c) The ones digit is twice the hundreds digit. (d) The hundreds digit is smaller than the tens digit. What is the~3-digit number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | f24a947247034c0d9d80524cd5787f66 | 1 | short_answer | Add:~$7268+94+567$. | [
"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 | a3a5c767bd45427d82afb83f82fc1001 | 2 | short_answer | Sally and Ken had some chocolates in the ratio of 5:7. Ken gave 24 chocolate to Sally. In the end, Sally had twice as many chocolte as Ken. How many chocolate Ken has in the end? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 1e972793be384a17b12b0af5d4176a57 | 2 | short_answer | $$5$$ colour pencils and $$6$$ notebooks cost $$$17$$． $$8$$ colour pencils and $$6$$ notebooks cost $$$20$$． What is the total cost of $1$ colour pencil and $1$ notebook? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"
] |
2023-07-07T00:00:00 | 5efa232175da4ea8aef5abb6b0a6ab63 | 1 | short_answer | In the college parking lot, each employer is allotted $40$ free hours of parking per week. After that, they pay $5$ dollars per hour up to $50$ hours, $8$ dollars per hour from $50$ hours to $60$ hours, and $15$ hours for each hour after that. An employer received a parking bill of $82$ dollars for the week. How many hours did he park his car in the parking lot? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Segment Pricing"
] |
2023-07-07T00:00:00 | 51079614a5ec47b0b15c1b5488ae900f | 1 | short_answer | Work out $478 − 189$. | [
"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 | 89a89120ab754c9caf6049809ce30d70 | 1 | short_answer | Ken went to a restaurant. The bill for the meal was $55$ dollars, and he left a $20 \%$ tip (The tip is only based on the food bill here). There was also a sales tax which is $10 \%$ of the bill. What was the total cost of Ken\textquotesingle s meal? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 8696d8e4602b473aa501ef6f73193bfa | 2 | short_answer | Raju has $$3$$ times as much money as Vijay. Raju has $$$152$$ more than Patrick. The three boys have an average amount of $$$507$$. How much money does Vijay have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | c57f27a1e67c4f79802030c3561c11d4 | 2 | short_answer | I think of a number. The number is the same as the number of sides in a triangle subtracted from double the number of sides in a square. What number am I thinking of? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | c38be742ce424260a3f93e4e8335becf | 1 | short_answer | Emma has a part-time job that pays £$7.50$ per hour. She gets a promotion and her pay is to be increased by $12 \%$. What will her new hourly pay be? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 02949cc66116485ca8bed41784c54430 | 1 | short_answer | Jane had $$32$$ ℓ of water more than Audrey. If Audrey had $$177$$ ℓ of water, how many litres of water did both of them had altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity"
] |
2023-07-07T00:00:00 | 6b90c037d1be47a69b827f642dbed228 | 1 | short_answer | A storybook uses $$1014$$ digits for its page numbers. How many pages does the storybook have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence of Specified Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | 8fddb6866a0c42b6905b4afb3024b9c9 | 1 | short_answer | $89 \times 19$ | [
"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 | 60f1559c0b6c431ebd109f40541ca33e | 1 | short_answer | Multiply $$96\times8$$ Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 27fb27320fd24c98af0e5d6caa596fae | 1 | short_answer | Joanna gets ￡$$5.00$$ pocket money each week and her younger sister, Amy, gets ￡$$3.50$$ each week. After $$5$$ weeks, Joanna saved all her money, but Amy spent $$75$$p a week on stickers. How much more does Joanna now have compared to Amy? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | fc089fb6a2704dc6baf4797d3c3c45b3 | 2 | short_answer | James adds a magic number to $$57$$ and $$9$$. After that, the first number is $$4$$ times that of the second number. What is the magic number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 0f2da0528c2f48f5870753bbc07cdc39 | 2 | short_answer | In a class, there are $2$ teachers, $7$ male and $6$ female students. A committee consisting of a teacher and $4$ students is formed. How many ways are there to form such a committee if there is at least $1$ female student in the committee? | [
"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 | b4eefed42dc74e7e8e95f0ff3ff68f36 | 1 | short_answer | (UK St Paul's Girls School Sample Paper Section $B$ Question $$1$$) If I treble a number and add $6$, I get the same answer as when I add $16$ to that number. What is my original number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable->Solving Other Problems Using Equations"
] |
2023-07-07T00:00:00 | 151555f881df4432befb850114db3fff | 1 | short_answer | Kevin\textquotesingle s monthly salary is $3.248$ bitcoin. Kevin owns Robin $1.6$ bitcoins. How many months does Roger need to work to pay his debt? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | 874bf5bc08b84870965ca710d514ca6c | 0 | short_answer | Calculate: $$10 - 6 + 20 - 16 + 30 - 26 + 40 - 36 + 50 - 46 + 60 - 56 + 70 - 66 + 2021$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 7cd83847e1cb45e8af9499a2ccb9d6d3 | 1 | short_answer | Alice is twice as old as her sister now. in $$10$$ years time, their total age is $$53$$ years old. How old is Alice now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Sums and Multiples in Age Problems"
] |
2023-07-07T00:00:00 | 96fe43257ccf486992d5d460d0a71d9a | 1 | short_answer | A sequence of numbers is formed by always adding the same number to get the next number in the sequence. The $10^{th}$~number in the sequence is $23$ and the $15^{th}$~number is $38$. What is the $12^{th}$~number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Common Difference of an Arithmetic Sequence",
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 1c0ea42cfd6a4ccbbe8d53d2ca3efe95 | 1 | short_answer | If the degree of the monomial $-x^{3}y^{2n}$ is $5$, find $n$. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 6a672f1831e34d92bcdd43e39b7f6729 | 1 | short_answer | $$1$$ cup of bubble tea is made up of $$\frac{2}{3}$$ litres of milk and $$\frac{3}{5}$$ litres of tea. What is the total amount of milk and tea needed to make $$45$$ cups of bubble tea?~\uline{~~~~~~~~~~}~$\ell$ | [
"Overseas Competition->Knowledge Point->Calculation Modules",
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Mixed Operations->Mixed Four Operations of Fractions"
] |
2023-07-07T00:00:00 | bce90c0bc27243dbbf3b460013299a73 | 1 | short_answer | In a science test Penny scored $17$ marks out of $20$. What percentage is this? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Rate"
] |
2023-07-07T00:00:00 | a0351e748b1c43eea23b3f8711946c24 | 1 | short_answer | The $n$th term of a sequence is $5n$. Work out the $10$th term of this sequence. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Substituting the Values into the Expressions"
] |
2023-07-07T00:00:00 | 4971d043e24c45eea658bd168d78c5f5 | 2 | short_answer | Sarah bought $$8$$ books and $$3$$ pencils. Rebecca bought $$3$$ books and $$8$$ pencils. Sarah paid ￡$$1.00$$ more than Rebecca. A pencil cost $$40$$p. How much was a book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable->Solving Other Problems Using Equations"
] |
2023-07-07T00:00:00 | f51ebd85ffb142399f8aa45e108f8c7a | 0 | short_answer | Angela, Bernice and Candice all buy gummy bear sweets at $$6$$ pence each. Angela buys two more gummy bears than Bernice. Bernice buys eight more gummy bears than Candice. Together the three girls spend £$$3.42$$ on gummy bears. Work out how many gummy bears Angela buuys. Answer: Angela buys~\uline{~~~~~~~~~~}~gummy bears | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple->Sum and Multiple of Multiple Variables"
] |
2023-07-07T00:00:00 | 175f3134588c438fbd11afdc6d088ab3 | 1 | short_answer | The median of the list $$n$$, $$ n+2$$, $$ n+3$$, $$n+5$$, $$n+7$$, $$n+8$$, $$n+11$$, $$n+14$$, $$n+16$$, $$n+19$$ is $$20$$. What is the mean? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Statistical Graphs"
] |
2023-07-07T00:00:00 | c73139012b3a4617bcdf34be499ab519 | 1 | short_answer | What is the sum of all the numbers from $1$ to $100$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | f64bb6d575274f2eb7aed9c54b618daf | 1 | short_answer | Tim has three apples. If Tim eats the largest apple, the mean weight of the remaining two apples is $70$ grams. If Tim eats the lightest apple, the mean weight of the remaining two apples is $105$ grams. What is the weight difference between the heaviest apple and the lightest apple? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | 93002079121d48f6aea4f803b68b139d | 1 | short_answer | The sum of three consecutive whole numbers is $60$. What is the largest of the three numbers? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | f63a917efc384a819f65597f5c2cdf8e | 1 | short_answer | Angel has $10$ litre 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 | 384f0b70b2a44ba7beb5d3d58e5f61b3 | 1 | short_answer | At the board meeting there were $$17$$ members, each of whom was supposed to shake hands with every other person once and only once. But four members did not shake hands with each of other three members. If all other handshakes did happen, then how many handshakes did happen？ | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 0d1b0c5f7803452da1653f98e4626d11 | 1 | short_answer | $$427 \div 7 =$$ | [
"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 | b502e3de36614cb6b890c32cf02729c5 | 1 | short_answer | Do you know the value of A? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)"
] |
2023-07-07T00:00:00 | 8aa228a35f9341e2ba3ad7168a64568b | 2 | short_answer | Add a \textquotesingle0\textquotesingle{} on the right side of a digit and you will get a $2$-digit number. This new number is greater than the original number by $27$. The original number is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | 7be31461e97f4911bea77bc2fc190e08 | 1 | short_answer | Irene gave points to students who performed well in class. The $1$\textsuperscript{st} student got $2$ points, the $2$\textsuperscript{nd} student got $6$ points, the $3$\textsuperscript{rd} student got $10$ points, the $4$\textsuperscript{th} student got $14$ points, and so on. Given that the points won by the students formed an arithmetic sequence, find the number of points won by the $11$\textsuperscript{th} student. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression"
] |
2023-07-07T00:00:00 | ae79c827ac84468cbfe680efa5f4322f | 1 | short_answer | Some zoo animals are standing in an array to prepare for the Zoo Olympics. The fox, Bob, finds surprisingly that no matter when he counts from front to back, back to front, left to right, or right to left, he is always the $$3$$\textsuperscript{rd} in line. How many animals are there in the array? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number of People in a Rectangular Array"
] |
2023-07-07T00:00:00 | 888de29c136b4d85b33e27c600d1d94a | 1 | short_answer | Nate is $11$ years old and his sister is $2$ years older than him. How old is Nate\textquotesingle s sister? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 004ab338da1a4dada61e061cc3b9f844 | 1 | short_answer | Stacking $$6$$ one-cent coins, it will have the same height as $$5$$ two-cent coins. Stacking $$4$$ one-cent coins, it will have the same height as $$3$$ five-cent coins. Using one-cent, two-cent and five-cent coins, Sam places only coins of the same value into three stacks of equal heights. If he used a total of $$124$$ coins, what is the total value of all these coins in cents? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems"
] |
2023-07-07T00:00:00 | a45e4fa740df4a7baa653312b07f2227 | 1 | short_answer | $$41$$ plum trees are planted along a stretch of road with trees planted at both ends of the road. The distance between each tree is $$4\text{m}$$. On the opposite side of the road, pine trees are planted at regular intervals of $$5\text{m}$$, with trees planted at opposite ends of the road. How many pine trees are there on this side of the road? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | 6fd47ac3b3fb42dca4192701b2a036bb | 1 | short_answer | $245$~ $\div$~ $5$= | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | 4f74241972d3482ca774dea7319f446e | 1 | short_answer | Find the sum of the smallest muliple of $$11$$ greater than $$100$$ and the largest multiple of $$11$$ less than $$300$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | a5d9770a94fa4709a356e767867213ac | 1 | short_answer | When the boss recorded the monthly salaries of $12$ employees, he made a mistake by writing one of the salaries as $ $2800$ instead of $ $3040$. As a result, he calculated their average monthly salaries as $ $4000$. What should be the correct average monthly salary for these $12$ employees? $ $$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | dae17711b2cd4d8882ad91e169803384 | 2 | short_answer | Two durian and three honeydews cost ＄$$77$$. Each durian costs twice as much as each honeydew. What is the cost of a durian? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | 9bdf1b39c69d40c192cf8573177c7066 | 1 | short_answer | Solve the equation below. $$17x-3(6+x)=9x+32$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | ed97e5e57d5b40ec8113dcb104438e54 | 1 | short_answer | Container $$A$$ contained $$\rm 350 mL$$ more water than Container $$B$$. After $$\rm 500 mL$$ of water was spilled out of Container $$A$$. Container $$B$$ had twice as much water as Container $$A$$. How much water was in Container $$A$$ at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | a3c32223f3b045ae854ecf8d286778e6 | 2 | short_answer | There are only blue pens, green pens and red pens in a box. The ratio of the number of blue pens to the number of green pens is $2:5$ The ratio of the number of green pens to the number of red pens is $4:1$ There are less than $100$ pens in the box. What is the greatest possible number of red pens in the box? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with Invariant Sums"
] |
2023-07-07T00:00:00 | 25c62dcd851e4ad1b5f7189dcfb4ed2b | 1 | short_answer | Damon went shopping with £$200$ in his wallet. He spent $25 \%$ of his money on books and $20 \%$ of the rest on a DVD. How much money did he then have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 0eb5531c437b4567aef0bba6c28958a4 | 1 | short_answer | A factory produced $$m$$ components last year. Try to use a algebraic expression to represents the number of monthly produced components. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | e8a29ad030a44c90b8487dcc6ab6265a | 1 | short_answer | A palindrome, such as $$707$$ or $$2552$$, is a number that remains the same when read backwards. What is the largest six-digit palindrome which is a multiple of $$6$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 3f99ba9a016d4255a61b7cc828b2284d | 0 | short_answer | There were $$216$$ boys and $$153$$ girls at a party at first. After an hour, $$37$$ children joined the party. How many children were there at the party after an hour? ~\uline{~~~~~~~~~~}~children were at the party after an hour. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | e990e7f85afe4ec8b4a88f34ca128f91 | 1 | short_answer | A kitten can eat $$42$$ cans of tuna in 6 days. At this speed, how many cans of tuna can it eat in 9 days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | 3bd10f66a047470cb619292f83def4bd | 1 | short_answer | Grace had a total of $$2540$$ pins and needles at first. After she sold $$1820$$ pins and $$\frac{4}{5}$$ of the needles, she had an equal number of pins and needles left. How many needles did Grace have left?~\uline{~~~~~~~~~~}~needles. Paul\textquotesingle s workings are as below: Since $$1820$$ pins is equivalent to $$\frac{4}{5}$$ of the needles, $$4u=1820$$ $$1u=1820\div4=455$$ She had $$455$$ needles left. Is Paul\textquotesingle s solution correct? If not, find the correct answer, draw a model and show all your workings. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 3d026487768a4329970e9623128a6980 | 1 | short_answer | Compute the sequence below: $$56+78+44+22$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | b0e8486e84644676b58c927c2f5c98ee | 1 | short_answer | Imran wanted a length of wood $$1.83$$ $$\text{m}$$ long. He measured a piece he had in the garage. It was $$10$$ $$\text{cm}$$ too short. How long was the piece in the garage? (You can give your answer in metres or centimetres). Answer :~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length",
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 5ed239080ded493396d3231a4454902f | 1 | short_answer | Wei Yan had some marbles at first. He gave $$\frac{3}{8}$$ of them to his friends and $$\frac{5}{7}$$ of the remaining marbles to his brother. His cousin then gave him $$408$$ marbles. In the end, he had twice as many marbles as he had at first. How many marbles did Wei Yan have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 4e932e68be27467ea297053d9901fc5e | 1 | short_answer | A string of numbers is arranged in the following pattern: $$8$$, $$8$$, $$3$$, $$3$$, $$2$$, $$5$$, $$3$$, $$3$$, $$2$$, $$5$$, $$3$$, $$3$$, $$2$$, $$5$$, $$\cdots $$ What is the sum of the first $41$ numbers? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 5a0d6b60b12e4a5fa3381f303b4ec98e | 1 | short_answer | What is $$\frac{2}{7}$$ of $$315$$? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | c7a29e2ef9654a2a957ff7a2cb12c3aa | 1 | short_answer | How many ways can you make $$47$$p with $$2$$p coins and $$5$$p coins? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | ce5f19623c5a44689e7c49754192cf5a | 1 | short_answer | Calculate: $$\left( \frac{9+10+11}{8}-\frac{10+11+12}{9}+\frac{11+12+13}{10}-\frac{12+13+14}{11} \right)$$$$\div \left( \frac{1}{8}-\frac{1}{9}+\frac{1}{10}-\frac{1}{11} \right)$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Using Common Factors to Simplify Fractions"
] |
2023-07-07T00:00:00 | 98c9966f7fd249d7beb63974bfe3742c | 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 | 591840ca7c7b45a5bd7b76b65a763eeb | 1 | short_answer | $$52-(4x-3)=47$$．$$x=$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | ef45cb41c0684c548c0b00944deb7b6e | 1 | short_answer | How many different ways are there to divide $$11$$ apples into $$3$$ piles? | [
"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 | 7a275792c5364908a3e7b3c7c4d8f6af | 1 | short_answer | Find the estimated difference between $$654 876$$ and $$279 745$$ by rounding off each number to the nearest hundred first (before calculating the result). | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers"
] |
2023-07-07T00:00:00 | 4b78873d37fb432ca3d3cbcd97a41dd1 | 1 | short_answer | How many different ways are there to rewrite $8$ as the sum of two or more non-zero natural numbers? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers"
] |
2023-07-07T00:00:00 | 9aae6b402ba548c6930873d942339f30 | 1 | short_answer | A train takes $$16\textasciitilde\text{s}$$ to pass a tree. If the length of the train is $$480$$ meters, find the speed of the train. | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Word Problems of Trains"
] |
2023-07-07T00:00:00 | 58b3af9d6c964137b1edfb53c29428ea | 1 | short_answer | Please calculate：$$1+2+3+4+5+4+3+2+1$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"
] |
2023-07-07T00:00:00 | 80a6303359124d99934818dd22810e2e | 1 | short_answer | Work out $$49+83$$ Answer~\uline{~~~~~~~~~~}~ | [
"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 | fbf2d88569644819af3dd38084210d8b | 1 | short_answer | $2.5 \text{kg}$~of apples cost £$3.60$ Work out the cost of $3.5 \text{kg}$~of apples. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Basic Computation of the Multiples->Multiples of Multiple Variables"
] |
2023-07-07T00:00:00 | 20e6b2c641d34326ba0e011da65e2397 | 0 | short_answer | $$20.6+5.2+1.4+4.8$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 2fb1bc8c622247da958854a407c487b9 | 1 | short_answer | (UK Kent College Pembury $11+$ Math Ematics Sample Question $$7$$) Find $\frac{2}{5}$ of $30$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
Subsets and Splits