dataset_version
timestamp[s] | queId
stringlengths 32
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stringclasses 5
values | qtype
stringclasses 1
value | problem
stringlengths 6
2.89k
| knowledge_point_routes
sequence |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | 53e2a3f3ec9744be90c9f22a4ed5982f | 1 | short_answer | Nicole had thrice as many tokens as Eddy. After Nicole used $$130$$ tokens and Eddy used $$38$$ tokens, they had $24$ tokens left altogether. How many tokens did Nicole have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | e191879db45c48ff90d30488b861c796 | 1 | short_answer | In how many ways can eight people line up in a row if A and B want to stand next to each other but C and D refuse to stand next to each other? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 870e50a685df4a29a8af253e6fc7e1bc | 1 | short_answer | Calculate： $$3.5\times 0.8+5.5\times 80 \%+\frac{4}{5}\times 100 \%$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 9b9cfe3c11e145838950ed7277589f2e | 1 | short_answer | Leroy has $200$ grams of a solution with a salt concentration of $35 \%$ and Lenny has $300$ 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 | ecc3b3f2bec24a058e7c38b24394b25f | 1 | short_answer | Mike and Valeria are playing a game. Valeria says: "We have $$36$$ pieces of candy in total now. If both of us eat the same amount of candy, then you will have $$6$$ pieces of candy left while I will have $$22$$ pieces of candy left.'' Mike says: "That\textquotesingle s true.'' How many pieces of candy does Valeria have now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 363fad5f614943dfb0cf3e05c47b60d2 | 1 | short_answer | Mandy made $$300\text{g}$$ of sugar solution with a concentration of $$35 \%$$ by mixing some sugar and water. How much water did she use (in grams)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 9a2001545cec4ccaa9dd40221c502641 | 1 | short_answer | Find the largest whole number $$k$$ such that $$\underbrace{12\times 12\times 12 \times \cdots \times 12}_{50}\textgreater\underbrace{k\times k\times k \times \cdots \times k}_{75}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power->Application of Powers"
] |
2023-07-07T00:00:00 | 86d05dc47dc744c0ac39d1fd344f31fb | 1 | short_answer | Mrs Ng had some oranges at first. She threw away $$34$$ oranges that were rotten. She bought another $$25$$ oranges from a store. She had $$133$$ oranges at the end. How many oranges did she have at first? She had~\uline{~~~~~~~~~~}~oranges at first. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | c67845741aaf419ca66672bdfdbdb918 | 1 | short_answer | Let\textquotesingle s define the symbol $$\Psi $$ as an operation follows the rules beneath: ($$1$$) if $$a\textless{}b$$, then $$a\Psi b=a\times b+2$$． ($$2$$) if $$a\geqslant b$$, then $$a\Psi b=a-b+2$$. What is the value of $$(14\Psi 13)\Psi 12$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | 525762f2f6e042f985a9eb27b6ebb6fd | 1 | short_answer | How many digits are there in the following sequence? $$1$$、$$2$$、$$3$$、\ldots\ldots、$$17$$、$$18$$、$$19$$ | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 3718c228fa6540b487cde297c66ba680 | 1 | short_answer | Last week, a class of $$36$$ students took a Mathematics test. The average score of the class was $$89$$. The girls\textquotesingle{} average score was $$88$$ while the boys\textquotesingle{} average score was $$91$$. How many girls were there in the class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | ad5c7faae0734a86b7fadb1303a9f16e | 2 | short_answer | Tina, a pet lover, has $2$ cats, $2$ dogs, $1$ rabbit and some birds. If the total number of legs of all her pets is $28$, how many birds does Tina have? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 26344c38e9c448e8b356d146763a48a2 | 1 | short_answer | It taks a team of $5$ people $6$ hours to paint my fence. One of my neighbours has a similar fence which is twice as long as mine. She would like the work to be completed in less than $5$ hours. What is the minimum number of people that she should employ? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | 88d1b67e1ad54227ad1e912db7853b6a | 1 | short_answer | Work out $$694+888$$ 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 | c3d38fc4ca7d4aab8188ce6862d374c4 | 0 | short_answer | Alison needs $$12$$ minutes to walk up the stairs from the first floor to the fifth floor at a constant speed. At this speed, Alison can walk up~\uline{~~~~~~~~~~}~flights of stairs in $$30$$ minutes. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | a36703deada040f4bfd94e22b7d1fa9b | 1 | short_answer | $80 \times 30$ | [
"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 | cbdb7ff490c04e3a92b3782d84c28e6a | 1 | short_answer | Tiara can make $50$ cookies using $8$ grams of butter. How many cookies can Tiara make using $21.6$ grams of butter? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 0416bb6956e54f29ba4f1c69d845e321 | 2 | short_answer | A positive integer $$N$$ has a base 8 number system of $$N={{(12345654321)}_{8}}$$. Hence for base 10 number system, what is the sum of~ the remainder of $$N$$ divided by $$7$$ and the remainder of $$N$$ divided by $$9$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems->Solving Problems by Solving System of \nBinary Linear Equations with Integer Coefficients "
] |
2023-07-07T00:00:00 | e377472a9c68458e9891ee67442a2346 | 1 | short_answer | Nelly spent ＄$$840$$ on a handbag, a wallet and a belt. The handbag costs ＄$$300$$ more than the wallet. The wallet costs ＄$$54$$ more than the belt. How much did Nelly spend on the belt? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | d620d54398de4f13a1c45f2bf4327f65 | 1 | short_answer | Calculate the following answer using long division: $96\div3=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"
] |
2023-07-07T00:00:00 | 4aedbf6d92b44b4dad2e2eed5fdfabf3 | 1 | short_answer | Three years ago, the combined age of two cats is $7$ years. What will their combined age be in four years\textquotesingle~time? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 2d92ec4620534efbbcc9c406a5deeb1f | 1 | short_answer | Calculate $513 -- 236$ | [
"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 | 38aa9d3b89004c14ad2ed83c80367f5f | 1 | short_answer | Mr Toh bought $$2$$ similar books and $$3$$ similar magazines for $$ $24.90$$. $$1$$ such book and $$1$$ such magazine cost a total of $$ $10$$. How much did $$1$$ magazine cost? | [
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Mixed Operations->Mixed Four Operations of Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money"
] |
2023-07-07T00:00:00 | 284741c33dc2463f995c4965d27e5abb | 1 | short_answer | Calculate: $$1\times 2+2\times 3+3\times 4+\cdots +99\times 100$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1²+2²+3²+......+n²=1/6n(n+1)(n+2)"
] |
2023-07-07T00:00:00 | bc7bc5a7f5724db3ab52e783cbad387f | 0 | short_answer | $637 - 473$ | [
"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 | 6bb84ead0f0149a69267c203c7dcf79f | 1 | short_answer | How many perfect squares divide $$2016$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Questions involving Square Numbers"
] |
2023-07-07T00:00:00 | 006b556a40774bb786928b5e8628397b | 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 | 3e20cfd987aa4c41955c78eb36cd75ab | 1 | short_answer | Solve the equation below. $$7x-3x+2=22$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | 33aab4041f0f402a8174696b588641a1 | 1 | short_answer | $$3$$ similar big pails and $$4$$ similar small pails can hold $$68$$ litres of water when they are filled to the brim. $$4$$ such big pails and $$2$$ such small pails can hold $$64$$ litres of water. How much water can a big pail hold? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | 7fadce2ae96f472cb7d9703a5f808b47 | 2 | short_answer | In the following, all the different letters stand for different digits. What is the sum of $A + B + C + D$? $\overline{ABA} + \overline{CDC} = 726$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | f5bcf94ffda8467a907da5740aab11b5 | 1 | short_answer | There are $6$ orange, $10$ yellow, $4$ pink and $12$ brown shirts in the closet. At least how many shirts must Annabella take out from the closet to get $$1$$ yellow shirt for sure? | [
"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 | ebd40fb218054510aeb86c96dfced3fc | 1 | short_answer | (UK St Paul's Girls School Sample Paper Section $A$ Question $$18$$) $70$ children need $3$ pens each. Pens are sold in packs of $8$. How many packs of pens need to be bought? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 96a1c9809ffd4f579596d44d35b5896c | 1 | short_answer | $249 \times ~31$ | [
"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 | dd56e7a3afe744abb3a668a3d42ef994 | 0 | short_answer | $3.2 + 6.41 + 0.207$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | bfc090949ff6429496bb1b10076bb3dd | 1 | short_answer | $$9\frac{4}{5}+99\frac{4}{5}+199\frac{4}{5}+2999\frac{4}{5}+39999\frac{4}{5}+1=$$~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | d24262d1d37a487682fd61310661cfd5 | 0 | short_answer | Find the value of x : $$6x=2-(3x-16)$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 2908d71fd0ef401ab05cc4649db1ec58 | 1 | short_answer | Write a number in the box to complete the number sequence below: $$94$$~ ~ ~$$□$$~ ~ ~ $$80$$~ ~ ~ $$73$$~ ~ ~ $$66$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Filling Sequences according to the Patterns"
] |
2023-07-07T00:00:00 | 7e6235a5f2e34ffeb942f81fedd76b05 | 1 | short_answer | Tom made a sugar solution by mixing $30\text{g}$ of sugar and $170\text{g}$ of water. What is the concentration of the sugar solution? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | f569465348234fb386433e1f3c49b08a | 2 | short_answer | When my age is divided by~$2$,$3$,$4$~or~$6$~there is always a remainder of~$1$. But when divided by~$7$~there is no remainder. How old am I? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Chinese Remainder Theorem with Constant Remainder"
] |
2023-07-07T00:00:00 | d1da302670c445868750665ea9e1e53d | 1 | short_answer | Jason\textquotesingle s age is a multiple of $$7$$ this year. Next year, his age will be a multiple of $$9$$. How old is Jason this year if he has not celebrated his $$58^{th}$$ birthday yet? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | b496ffab1ef6486791ac9a2562ae6998 | 1 | short_answer | A restaurant buys orange juice in $1$ litre cartons. They serve the juice either in a wine glass which holds $100 \text{ml}$, or a glass tumbler which holds $200 \text{ml}$. On an average day, they sell $25$ wine glasses full of orange and $12$ tumblers full of orange. How many cartons of juice are needed on an average day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 9aee79585275499c8017c3e2e4499346 | 2 | short_answer | At a fruit stall, the ratio of the number of avocados to that of the peaches to that of the lemons was $$2:9:8$$ at first. The stall owner then sold $$52$$ avocados, $$12$$ peaches and $$60$$ lemons. As a result, the ratio of the number of peaches to that of the lemons became $$6:5$$. What was the total number of avocados, peaches and lemons left in the stall at the end? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Complex Ratio Problems"
] |
2023-07-07T00:00:00 | 7b9872c76da143f7914b38327c9d1581 | 1 | short_answer | Bruno was queuing for his movie ticket. There were $$15$$ people in the queue. He was the $${{9}^{\text{th}}}$$ in the queue counting from front to back. In which position was he from the end of the queue? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Order of one Character"
] |
2023-07-07T00:00:00 | f17a871c84cc4e1fb96fb91b864f0695 | 0 | short_answer | \textbf{$$n$$~}is the answer to $$620\div20$$. \textbf{$$n=$$}~\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 | a04cac85a9884a9187a1ad6d908f193b | 2 | short_answer | Find the last digit of $$\underbrace{2\times 2\times 2\times \cdot \cdot \cdot \times 2}_{859433 ; 2s}$$. | [
"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 | 68464cb7965d42e2974a5374db0adaf7 | 2 | short_answer | $$125\times 32\times 25\times 7$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | c7265fcca4564dfbbed3794cc4c26974 | 2 | short_answer | There were $60$ students in a line facing their teacher. The teacher instructed them to call out the numbers $1$ , $2$ , $3$ , $\cdots$ , $59$ , $60$ from left to right, asking those who have called out a multiple of $3$ to turn around. Then she asked those who have called out a multiple of $5$ to turn around. How many students ended up facing the teacher? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | ac493b6b7d0a401888bc24c649523bc1 | 0 | short_answer | \textbf{$$n$$~}is the number where $$4\times n=36\div3$$. \textbf{$$n=$$~\uline{~~~~~~~~~~}~} | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient"
] |
2023-07-07T00:00:00 | 368db30ced514aa0a4c14fd84ae26f51 | 1 | short_answer | When Peter\textquotesingle s age is divided by $2$, $4$ or $6$, there is always a remainder of $1$. But when divided by $7$ there is a remainder $5$. How old is Peter? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Multiples and Least Common Multiples->Least Common Multiple of Multiple Numbers"
] |
2023-07-07T00:00:00 | 43dfa2d812fc44359cbc9ed198dfed87 | 1 | short_answer | Jess and Jill share some sweets. Jill has six sweets for every five sweets Jess has. Jill gives eight sweets to Jess. Now, Jill has four sweets for every seven sweets Jess has. How many sweets do the girls have altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems"
] |
2023-07-07T00:00:00 | 76aa21da5d384dccb38483d763fd552d | 3 | short_answer | Pip has seven digit cards from $1$ to $7$. He picks some cards to form a number as large as possible, and make sure that the number is divisible by all the digits used to form this number. Find the number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 9bbae54e3737448abd3501177769689d | 1 | short_answer | At most the sum of how many positive consecutive odd numbers can $900$ be expressed as? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 8d91d54e4c4b4bc6b73c53b8dd7ea30a | 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 | e3b5e72653f44428b98d1a54dd056bca | 1 | short_answer | Adam, Ben and Carl are weighing themselves. Together, Adam and Ben weigh $$102\text{kg}$$ Ben and Carl weigh $$97\text{kg}$$ Adam and Carl weigh $$93\text{kg}$$ What is their total weight in $$\text{kg}$$? Answer~\uline{~~~~~~~~~~}~kg | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 7c0b46427c0c48029b6941ed62bf32c8 | 1 | short_answer | Dividing a certain two$$-$$digit number by $$3$$ leaves a remainder of $$2$$; dividing it by $$11$$ leaves a remainder of $$2$$. What is the smallest possible value of this number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 531f65fc27864e3a881f25dddace2c6a | 1 | short_answer | What is the smallest whole number, above $$120$$, which when divided by $$53$$, leaves a remainder of two. Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders->Relationship between Dividend, Divisor, Quotient and Remainder in Division"
] |
2023-07-07T00:00:00 | 0de8f8f3eac5485fa0fae9f57ecc6d21 | 0 | short_answer | Work out $$46\times37$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication in Vertical Form"
] |
2023-07-07T00:00:00 | c5cba4277873402db4efd1be60e4e847 | 1 | short_answer | A rectangle measures $$4.5$$ $$\text{cm}$$ by $$6.2$$ $$\text{cm}$$. Calcuate its perimeter. ~\uline{~~~~~~~~~~}~$$\text{cm}$$ | [
"Overseas Competition->Knowledge Point->Geometry Modules->Objects with Straight Sides->Knowing Graphs->Rectangles and Squares->Perimeter of Rectangle",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | 6ffedd49a405465ab88697b2f7d7ae79 | 1 | short_answer | Circle the number with the smallest value $8.05 8.50 8.505 8.055$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals"
] |
2023-07-07T00:00:00 | 1743bb23aed04ec2b7a7f8fec1d14118 | 1 | short_answer | Billy is $2$ metres and $2$ centimetres tall. Write his height as a decimal, in metres. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"
] |
2023-07-07T00:00:00 | 4348474e45be4c4784a60dab18304844 | 1 | short_answer | Sandra took three tests. The scored $60$ marks in the first test. Her score increased by $25 \%$ in the second test. In her third test, her score reduced by $20 \%$ from the second test. How many marks did she score in total for the three tests? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 481bd4bd37034fc8a43530a5477069e1 | 1 | short_answer | Mark deposits ＄$$5,000$$ in the bank. The interest rate is calculated at $$3 \%$$ on a yearly basis. How much will he get at the end of $$2$$ years? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 1634653b15164af9958af85781121677 | 1 | short_answer | Mr. Ng has some bookmarks. If he gives each of his pupils $$4$$ bookmarks, he will have $$8$$ bookmarks left. If he gives each of his pupils $$6$$ bookmarks instead, he will be short of $$10$$ bookmarks. How many bookmarks does Mr Ng have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Basic Distribution Problems"
] |
2023-07-07T00:00:00 | b8670c2b439149d7a72fcf4fe146bf96 | 1 | short_answer | Suki saves £$$13$$ in January, £$$18$$ in February and £$$5$$ in March.What is her mean (average) monthly saving? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | 26527b2a0a2c4e4d877500b4ff8a3656 | 1 | short_answer | A twenty-four hour digital watch shows only hours and minutes. How many times each day does the watch show at least two fours simultaneously? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Reading the Clock"
] |
2023-07-07T00:00:00 | ffc16ac75f7f47fcb1d3eb07fae6db1e | 2 | short_answer | Candy has $233$ chocolate bars and she wants to divide all chocolate bars to her students. Her smart student, Michael, finds that Candy cannot divide chocolate bars to all students evenly. Is Michael correct or not? (The number of students is greater than $1$ and less than $233$.) | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | f4f08eaaa1b64a658de25585dad20e40 | 1 | short_answer | Find the value of the following expression． $${{7}^{2}}+{{14}^{2}}+{{21}^{2}}+{{28}^{2}}+\cdots +{{105}^{2}}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | ba6364de23e74495bec276c83b164e14 | 1 | short_answer | Find the sum of £$4.22$, £$31.49$ and $76$ pence. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | 6c7e9b74e26440e9abed54180422f05b | 1 | short_answer | How many prime numbers are there between $130$ and $150$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | bfadf094fc4b4d4f952061bbaeb8b5d0 | 1 | short_answer | How many multiples of $$4$$ are there from $$56$$ to $$92$$? Below in Sam\textquotesingle s workings. $56\div4 = 14$ There are $4$ multiples of $4$ from $1$ to $56$. $92\div4 = 23$ There are $4$ multiples of $4$ from $1$ to $92$. $23-14=9$ There are $9$ multiples of $4$ from $$56$$ to $$92$$. Is Sam\textquotesingle s answers correct? If not, identify where he made his mistake and find the correct number of multiples. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | 7e8a739ac409498b80dc7f1731900ebb | 2 | short_answer | A positive whole number less than $$100$$ has remainder $$2$$ when it is divided by $$3$$, remainder $$3$$ when divided by $$4$$ and remainder $$4$$ when divided by $$5$$. What is the number? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Chinese Remainder Theorem with Constant Difference"
] |
2023-07-07T00:00:00 | f29917f11bd644f2a9c8e57a6f612d23 | 1 | short_answer | Magic Town and Super Town are $$144$$ km apart, a ship travels downstream $$8$$ h from Magic Town to Super Town. If the ship at a speed of $$15$$ km/h in still water, how long will it take the ship to come back from Super Town to Magic Town? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Travel Word Problems of Boats",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | c4f94facc9b340b4a2a6145ef66bc8af | 1 | short_answer | Jenny eats $6$ pieces of pizza, and she eats $5$ fewer pieces than Qiqi. How many pieces of pizza does Qiqi eat? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | d8643be2681f41c897691ad4ae4d10ab | 1 | short_answer | There are $$15$$ students in a choir. The instructor needs to select $$2$$ of the students to perform a duet. How many ways can the teacher select the $$2$$ students? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations"
] |
2023-07-07T00:00:00 | c2b06e8dbe5c4834b11b9e8c5471c680 | 2 | short_answer | There is a hippo and a kangaroo in the zoo. The hippo eats $$45$$ kilograms more food than the kangaroo. $$20$$ days later, the hippo has consumed $$10$$ times as much food as the kangaroo in total. How many kilograms of food has the hippo consumed in these 20 days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 94c97ffe57a2432ba8c0eeaa3ce36a92 | 1 | short_answer | John waited for Tom at $$3.15$$ p.m. What time did they meet if Tom arrived $$1\textasciitilde\text{h}\textasciitilde25\textasciitilde\min$$ later? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | fc103906e8e44feea1ebe0162fb169f5 | 1 | short_answer | Alison has a large number of coloured pencils. When the pencils are divided between two of her friends there is one pencil left over. If they are divided between three friends there are two left over. Between four friends there would be three left over. Between five friends there would be four left over and between six friends, five left over. What is the smallest number of coloured pencils that Alison could have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 23289d4f9e054a8bb7c18484e70642db | 1 | short_answer | $\left( \frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\cdots+\frac{1}{20}\right)+\left( \frac{2}{3}+\frac{2}{4}+\cdots\cdots+\frac{2}{20}\right)+\left( \frac{3}{4}+\cdots+\frac{3}{20}\right)+\cdots\cdots+\left( \frac{18}{19}+\frac{18}{20}\right)+\frac{19}{20}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Fast Calculation in Fractions"
] |
2023-07-07T00:00:00 | 5c85b6e4f6b74768adaad620ef94842e | 2 | short_answer | Worker $$A$$ can lay railway tracks between two given stations in $$15$$ days and worker $$B$$ can do the same job in $$20$$ days. They work on it together for $$2$$ days and then worker $$B$$ has to leave due to a family emergency. In how many days can worker $$A$$ finish the remaining job? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | a9ada9a471c14c9089a859c1a81f4727 | 1 | short_answer | There are 7 green balls and 8 blue balls in a bag. How many balls would you need to take out to ensure that you have at least two balls of the same colour?（⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | 25336ea78ab34494bb296b208a1d61f0 | 1 | short_answer | Given that there are $12$ zodiac signs in total, at least how many students are needed to guarantee that there are at least $11$ students who share the same zodiac sign? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | bf15675f14f14212bf6c9e9d10c58225 | 3 | short_answer | There are $7$ students standing in a line. Student $A$ must stand between student $B$ and $C$ (but they don\textquotesingle t need to stand next to each other). Student $D$ and $E$ want to stand together, but student $F$ and $G$ don\textquotesingle t want to stand adjacent to each other. How many ways are there for them to stand in a line? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | ffeb5f99fef6492788aecdd5191a6fbc | 1 | short_answer | Find $x$ if $3x + 5 = 20$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient"
] |
2023-07-07T00:00:00 | 699c77bb441b4ebda83105b6f2f13d9b | 1 | short_answer | Ada has $$5$$ yellow balls, $$15$$ white balls and $$20$$ black balls in a bag. What is the least number of balls she has to take out of the bag with her eyes closed to be sure that she takes $10$ balls with the same colour? | [
"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 | 934f5ca54cb7439aa6d799d5d2c44dcb | 1 | short_answer | Mr Chan wants to give $$35$$ candies to $$9$$ children with seat number $$1$$ to $$9$$ in order. Each child will receive $$1$$ candy each time. Teacher Mr Chan gives the first candy to the child on seat number $$3$$. Which child will receive the last candy? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | f24bfda99f1c4bb2bd7903af23a66829 | 1 | short_answer | What is the sum of the first $$60$$ numbers following the following pattern? $$4, 7, 10, 13, 16, 19, \cdots \cdots$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 9b63ec4f71094b1d885ce1afa323969f | 2 | short_answer | Florence eats spaghetti every seven days and apple pie every three days. She eats both spaghetti and apple pie on $$2^{}\text{nd}$$ January. When will she next eat them both on the same day? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures->Compound Change"
] |
2023-07-07T00:00:00 | e576332748d74067a92a264b25cf6bf6 | 2 | short_answer | In a class, $$19$$ children have dogs and $$18$$ children have cats. If there are 30 children in total. , find the smallest possible number of children who like both cats and dogs. Answer:~\uline{~~~~~~~~~~}~children | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | e23be947b2694a46ae2d582a9c3ce1d5 | 1 | short_answer | Calculate: $-12 - 5 =$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | 332cdb55e65a4055a7b3f28234f15541 | 1 | short_answer | Calculate the sum of the numbers in the table ? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 30dedaf91b7c41adbc5ee0f51c1d61cc | 1 | short_answer | $12,145,32,77,62$ are numbers in a dataset. What is the range of the dataset? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | fea775d35ddc44779758a9feca2b1e44 | 1 | short_answer | Natalie had some shirt and skirts in her shop. The number of shirts she had was $$36$$ less than the number of skirts. After selling $\frac{2}{3}$ of her shirts and $$\frac{5}{6}$$ of her skirts, she had $$72$$ shirts and skirts left in total. How many skirts did she have at first?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | dc7690a8acef47d2b8179414454362dd | 1 | short_answer | Suki saves £12 monthly from January to March. What is her total saving in these three months? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | c0fbd9fc6c0349318ed02805c0f14bb0 | 1 | short_answer | \uline{The Puzzle of the Cloaks} I have material which is $100$ feet long and $80$ feet wide. From it, I wish to make cloaks from portions in such a way that each portion is five feet in length and four feet wide. How many cloaks can be made from the material? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 4fd1c9c268424dcd9c1930cdbe826408 | 3 | short_answer | A motorcycle driver travels at a speed of $$20$$ miles per hour to a place $$120$$ miles away and returns back to the original departure point. If he expects to travel at an average speed of $$30$$ miles per hour, how fast should he travel when he is returning? | [
"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 | 5ee23347e0d74d3baa1160988c797db8 | 1 | short_answer | I have a packet of biscuits which contains between $400$ and $800$ biscuits. If I put them into piles of $5$, I have one left over. If I put them into piles of $6$, I have two left over. If I put them into piles of $11$, I have seven left over. How many biscuits do I have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 4d94cc32d7e645e3ae2c634cbeddd095 | 1 | short_answer | Nell and Joe shared some sweets in the ratio $$4:5$$. Nell received $$24$$ sweets. How many sweets were there altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | b6548625db5443beaaee6fa94d6e0200 | 1 | short_answer | A local football team has thirty-four shirts numbered from $1$ to $34$ on the back only. How many digit l\textquotesingle s are used on the complete set of shirts? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence between Numbers and Page Numbers->The Total Number of Numbers"
] |
2023-07-07T00:00:00 | 7f69be54279d4eb282c98cde135e73cd | 1 | short_answer | SASMO 2015 P2 Q18 A man takes 2 minuts to cut a metal rod up into two pieces. How many minutes will he take to cut a metal rod of the same length into 5 pieces? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems"
] |
2023-07-07T00:00:00 | 501ad0e046c84d61b8cd854a0e3231d0 | 1 | short_answer | Find the average number of the sequence below. $$55$$, $$62$$, $$80$$, $$36$$, $$18$$, $$29$$, $$76$$, $$92$$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
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