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timestamp[s] | queId
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stringclasses 5
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stringlengths 6
2.89k
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 8822cb428e1f404e8f4004bb9e245353 | 1 | short_answer | Kristina bought a bag of sweets and ate $$\frac{3}{5}$$ of them. If she ate $$18$$ sweets, how many sweets were left over? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | d21328403ccc4ef1888fbbd2ff71269e | 0 | short_answer | Jane is $$9$$ years old and John is $$5$$ years old. How old will John be when Jane is 15 years old? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 70e335db4e004110b36ede05612ac93b | 1 | short_answer | A given number is between $$10$$ and $$20$$. It is a multiple of $$4$$ and a factor of $$36$$. What is the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | bcd8fb20c8b744e99ffa82607c24bb9d | 1 | short_answer | $$(13-$$~\uline{~~~~~~~~~~}~$$)^{2}=25$$ | [
"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 | 21b6aec5564b47a2b3f38fad58c06438 | 1 | short_answer | Calculate $9678 \times ~8$ | [
"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 | f9501133c3614a48a8b6a1577fb1a1db | 1 | short_answer | A product was marked at $$20 \%$$ above the cost price. It was eventually sold at $$80 \%$$ of the selling price. The loss was $$ $40$$. What was the cost price of the product? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | c4f58a5f4ee74d11a1ceefa03d4b0989 | 1 | short_answer | Subtract $7 + {\rm{(3}} \times 11{\rm{)}}$ from ${\rm{(7}} + {\rm{3)}} \times 11$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 9c5276fb1c214521afb9cff714698795 | 2 | short_answer | When Taps X and Y are turned on at the same time, they can fill up a tank completely in 6 minutes. Tap X alone will take 10 minutes to fill up the tank completely. How long will it take for Tap Y alone to fill up the tank completely? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | e6fb8dbc811842a5bd4fa6371e5e2187 | 1 | short_answer | In Pip\textquotesingle s class, $$20$$ pupils like apples and $$30$$ pupils like strawberries. $$10$$ students like both of them, while $$5$$ students like neither. How many students are there in this class? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | 4052fcf1d3c045db91150181ba09abd4 | 1 | short_answer | Xuanrui and Yaokuan had $$708$$ markers altogether. After Xuanrui gave away $$532$$ markers and Yaokuan sold $\frac{3}{7}$ of his markers, they had an equal number of markers left. How many markers did Xuanrui have at first?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 19f6f50448bf4f7a813675df0afe5ff5 | 1 | short_answer | The usual price of a computer is $$$1050$$. Alice bought it at a discount of $$12 \%$$. How much did she pay for it? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 7617a8045f5b4ff5b5324982a66889ea | 1 | short_answer | Work out $62 + 48 + 18 + 32$. | [
"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 | e34d46213408429baafffc5193541fcb | 1 | short_answer | There are $10$ questions in a science competition. A person gets six points for a correct answer and loses two points otherwise (getting a wrong answer or skipping a question). Eddie answered all questions and got $44$ points. How many questions did Eddie answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | bf4013af9d5b45968ef5e11b2c7e33c2 | 1 | short_answer | In mathematics, $$1!=1$$ $$2!=2\times 1$$ $$3!=3\times 2\times 1$$ $$\textasciitilde\textasciitilde\textasciitilde\textasciitilde\textasciitilde$$$$\vdots $$ Find the last two digits in $$1!+2!+3!+4!+5!+6!+7!+8!$$. | [
"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 | 22d57fd8aceb477a89a51700a52e11c5 | 1 | short_answer | Cup A contains $$300\text{mL}$$ of $$20 \%$$ sugar water and Cup B contains $$300\text{mL}$$ of $$30 \%$$ sugar water. If I mix the sugar water in the two cups well, what is the sugar concentration of the mixture I get? Pip\textquotesingle s answer: $$20 \%+30 \%=50 \%$$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems"
] |
2023-07-07T00:00:00 | 1e1427d5ceba4320aee5afcaccc52125 | 1 | short_answer | Ahmad and Ryan have $$1442$$ marbles altogether. Ahmad has $$6$$ times as many marbles as Ryan. How many marbles must Ahmad give to Ryan so that they will have an equal number of marbles? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | f97121683f7348f08e4de57f11abcaed | 1 | short_answer | There are $$200$$ pages in a storybook. How many times does the digit `$$4$$' appear in the page numbers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Questions Involving Page Number"
] |
2023-07-07T00:00:00 | 44a59b6d17564f77996536b4fa6617a7 | 1 | short_answer | Express $$\frac{3}{10}+\frac{1}{100}+\frac{7}{1000}$$ as a decimal. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"
] |
2023-07-07T00:00:00 | 11ea9bd45a5646b0b52b444e218c2de9 | 0 | short_answer | In $$1970$$ £$$1$$ was worth the same as~$ $2.50$. How many pounds was~$ $1000$~worth? ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | cfb3940b70b44b77b4051f6425ca4116 | 1 | short_answer | Theia had some $$ $2$$-notes and $$ $10$$-notes. She had $$95$$ notes altogether at first. When she exchanged all of her $$ $10$$-notes for five $$ $2$$-notes each, she found that she had $$175$$ $ $2$-notes. How many $$ $2$$-notes did she have at first?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Grouping Method"
] |
2023-07-07T00:00:00 | 9e6ca5b654384e328bb7c1dbb3561114 | 1 | short_answer | There is a train with a length of $540$ m, and the head of the train~has a length of $10$ meters. Each of the train\textquotesingle s other carriages has a length of $27$ m. The distance between every adjacent carriages (including the head of the train) is $1$ m. How many carriages including the head of the train are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 90718dbaf0fd4ed89a5a4d96ad666df5 | 1 | short_answer | How many times does the digit \textquotesingle$$8$$\textquotesingle{} appear in a book that has $$288$$ pages? Below is Bobby\textquotesingle s working for the question: digit \textquotesingle$$8$$\textquotesingle{} in the ones place : $$8$$, $$18$$, $$28$$, $$\cdots$$, $$288\rightarrow30$$ times digit \textquotesingle$$8$$\textquotesingle{} in the tens place : $$80$$, $$81$$, $$82$$, $$\cdots$$, $$288\rightarrow30$$ times digit \textquotesingle$$8$$\textquotesingle{} in the hundreds place : $$0$$ times $$30+ 30=60$$ The digit \textquotesingle$$8$$\textquotesingle{} appears $$60$$ times in a book that has $$288$$ pages. Is his answer correct? If not, identify his mistake(s) and circle them out! Write the correct workings and find the right answer. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Questions Involving Page Number"
] |
2023-07-07T00:00:00 | bd978d750b6e4729980ff669042abeea | 1 | short_answer | The total cost of a pen and a pencil is $2.90. The pen costs 60¢ more than the pencil. What much does the pen cost? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Substitution Method of Decimals"
] |
2023-07-07T00:00:00 | 278b3ce4e6b040338ce029d381e86ebf | 1 | short_answer | Given that $▲ + ▲ = ■$ and $■ + ▲ = ●$ and $♦ = ● + ■ + ▲$ How many $▲$s are equal to $♦$ ? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems->Replacement of Equivalent Substitution"
] |
2023-07-07T00:00:00 | 866545814d6e4615b2af1cbb207b8c44 | 2 | short_answer | Shenjia is sitting for a Math contest consisting of $50$ questions. For every question she answers correctly, she earns $2$ points. For every question she answers wrongly, she loses $1$ point. Shenjia scored $82$ points and declared, "I answered $32$ of the $50$ questions correctly!" Is her statement correct? If not, how many questions did she answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | a9f0d9027e26479ba10780496a0c4d24 | 1 | short_answer | Given that $x$ and $y$ are whole numbers such that $24x-25y =8$, find the smallest value of $x$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with Multiple Variables"
] |
2023-07-07T00:00:00 | 35d6ac2bebfe44ffa37211e279b87749 | 1 | short_answer | If $$a=1$$, $$b=2$$, and $$c=3$$, then $$\overline{abc}=123$$. Given that $$A=\overline{xy}$$ and $$B=\overline{2xy}$$, if $$B$$ is $$25$$ more than six times $$A$$, what is the value of $$A$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | 01dd3259609c4a6da4fd5831e9936f4d | 1 | short_answer | The original price of a bike was $$800$$ dollars, it got a discount of $15 \%$ for Black Friday, and the price was raised for $15 \%$ after Black Friday, how much money does this bike cost now？ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | a59668f1e93b4825ba207bf6e1c4f492 | 1 | short_answer | Which is better value $- a 2.5$ kg bag of carrots costing $£5$ or a $4$kg bag of carrots costing $£7.70$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 8fb6994898db4fa78cffadd0bf6a1ec7 | 2 | short_answer | Given that $$S=\frac{1}{ \dfrac{1}{2001}+ \dfrac{1}{2002}+ \dfrac{1}{2003}+ \cdots +\dfrac{1}{2009}+ \dfrac{1}{2010}}$$, find the largest whole number smaller than $$S$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Scaling"
] |
2023-07-07T00:00:00 | e7527c6eca0e41f7b5a274121821fab1 | 1 | short_answer | Calculate: $$521-173-127$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | d39880770cf44cc1b8953e1fa9f1233b | 1 | short_answer | A set of history books has 5 books, and each book costs $4.50. How much does Amy need to buy this set of books? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | dac6db12c85f45c99ab167826c4098d6 | 1 | short_answer | There is such a positive integer: if it is divided by $$4$$, the remainder is $$2$$; if it is divided by $$5$$, the remainder is $$2$$; if it is divided by $$9$$, the remainder is $$8$$. Find the least possible value of such a number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem"
] |
2023-07-07T00:00:00 | ddf47a1b5bb549f3a5068ab88ce95d61 | 1 | short_answer | How much is $$\frac{3}{4}$$ of $$\frac{2}{5}$$ of ￡$$1$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | f321e52bafc84cfeaf82fee608fc2c47 | 2 | short_answer | The mass of a jar $\dfrac{1}{4}$~full of Marmite is $$250\text{g}$$. It has a mass of $$350\text{g}$$ when it is $\dfrac{3}{4}$full. What is the mass of the empty jar? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 547dd66262ab4fd8b89a202921fdd75e | 1 | short_answer | Nancy read $280$ pages of a book on Monday. She read $28$ fewer pages on Tuesday than on Monday. How many pages of the book had she read altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"
] |
2023-07-07T00:00:00 | a2e32a8bfee74449ac3c05a82c14f783 | 1 | short_answer | Calculate the following expression quickly and show your working! $$365-(19+65)$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 94bd0c0ea38e484483c3d392ca25d206 | 1 | short_answer | A school has a $60$m road. The headmaster plans to plant trees on both sides of the road. The interval is $10$ meters and both ends will have trees. How many trees will we plant?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 6ba06bbd86ed47918a1f1d77269cfed8 | 1 | short_answer | Some marks are drawn along the track for Sports Day. Starting from the starting line, there is a red mark every $$5$$ metres, a blue mark every $$10$$ metres and a green mark every $$12$$ metres. When the athletes first reach a point where all $$3$$ marks are drawn together at the same place, how far away would they be from the starting line? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 4bb30a08bef844b295fc45cdd2506df9 | 1 | short_answer | At the red light, seven buses of the same length stop in a line. Given that the length of each bus is $$5$$ meters, and the distance between each two adjacent buses is $$2$$ meters, how long is the line? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | 166102618f9a4ea0b545a8ba6b224baa | 2 | short_answer | Aiden is doing a calculation, multiplying a number by $$4$$ and add $$25$$ to the product. He mistakenly divided the number by $$4$$ and subtracted $$25$$ from the quotient. The answer obtained is $$2021$$. What is the correct answer? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 3b8e61c8ea8e4ba78d0aca808cf223c9 | 1 | short_answer | The height of $28$ blocks when they are placed on top of each other is~$182 \text{cm}$. What is the height of $42$ blocks? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | 78a5cb5509884246bd419bba61d02340 | 1 | short_answer | $45\times7=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division"
] |
2023-07-07T00:00:00 | a92d9eb66c3b4acd8f2839b36fdd0e14 | 0 | short_answer | Work out $4.8 \times 5$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 5979a7958e5a49019259104db32617ae | 1 | short_answer | $$106+107+108+\cdot \cdot \cdot +2019$$=~\uline{~~~~~~~~~~}~． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | fe3ec539b5a04bb7a24f12c0750720eb | 1 | short_answer | A five-digit number $$\overline{2E3E2}$$ is divisible by $$9$$, find the value of $$E$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 1be249dc19cb422a809047b2d7a80f6a | 1 | short_answer | Given that $$x:5=y:3$$, the relationship between $$x$$ and $$y$$ is~\uline{~~~~~~~~~~}~proportional relationship. $y=$~\uline{~~~~~~~~~~}~when $x=5$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 0ff7cfe71371476695329b23de3069ac | 1 | short_answer | Leonard writes down a sequence of numbers. After the first two numbers, each number is the sum of the previous two numbers in the sequence. The fourth number is $$6$$ and the sixth number is $15$. What is the seventh number in the sequence? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->The Fibonacci Sequences (Rabbit Sequences)"
] |
2023-07-07T00:00:00 | 1046c694c10a415381a568db27604763 | 1 | short_answer | A trader bought a product for $$ $200$$. If he sells his product $$50 \%$$ above cost and gives a Christmas discount of $$10 \%$$, find his profit during Christmas. John attempted to answer the question in this way: He sold the product at $45 \%$ above cost since $50 \% \times 0.1 = 45 \%$, hence he sold the product at $200 \times 1.45 = $290$. Therefore his profit is $290-200 = $90$. Is he right or wrong? If not, solve for the correct answer. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | 5a88150fabe34769918ee4dd88293fca | 1 | short_answer | A group of students is arranged to form an $$m\times m$$ square array, which is as large as possible, and $$5$$ students are left out. If $$18$$ more students join the group, they will create a perfect $$n\times n$$ square array with no one left out. How many students were there originally? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"
] |
2023-07-07T00:00:00 | d54cf1582b9840d2832c444ed488a72a | 1 | short_answer | $531\times135$ | [
"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 | 6ddf66ac448548e690721ecb2b5f565e | 1 | short_answer | What is the largest $$2$$-digit number that can be divided by both $$3$$ and $$5$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | d346e6a28b64479882e6e011bb7a6f19 | 1 | short_answer | Solve the following equation. $\frac{2x+3}{4}+\frac{6+4x}{3}=\frac{7x+22}{8}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | dd6d097a63594cca959d1e71d2d3ebea | 1 | short_answer | Calculate the sum below. $$ 9+11+8+12+7+13+6+14+5+14 $$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 9e9d512190c84daf805cb3e49be050a6 | 1 | short_answer | At the school scavenger hunt, class $A$, $B$, $C$ each has $12$, $15$, $18$ students who want to particpate. The participating students will need to split into groups of the same size. They can\textquotesingle t group up with students from other classes. How many students will each group have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Multiple Numbers"
] |
2023-07-07T00:00:00 | 03105f423b1347369d8ed85d1f00d475 | 1 | short_answer | Rayson started playing badminton at $5$ p.m. He played badminton for $$45$$ minutes. He then jogged for $$30$$ minutes. What time did he stop jogging? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | ecd9405da0514df5b2a0f1179131079e | 1 | short_answer | There are $$3$$ numbers with an average of $$25$$. After changing a number to $$16$$, the average of the numbers is $$22$$. What is the original number of this altered? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | f4a44d5718564604b3aba4fefda53416 | 2 | short_answer | What is the smallest natural number that is divided by 5 and left over 3 and divided by 6 and left over 5? | [
"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 | 34d25cf24d7949d780640e0194156dfe | 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 | 57f1a73a3e564db985c24fecdf759cd6 | 1 | short_answer | ${\left( {2 + 3} \right)^{2}} + 4 \times 5$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 32cc18556b6c45a9b298776fc2cefc3a | 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 $0$ points. Rex answered all bur 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 | 4a3bcfd145bb4a24aefa5c3766f7cbaa | 1 | short_answer | Q3 3D Shape | [
"Overseas Competition->Knowledge Point->Combinatorics->Graph Theory"
] |
2023-07-07T00:00:00 | 8dd4cfbce09b4b4ebc7f9f1a6f86de7d | 1 | short_answer | David has $800$ grams of a solution with a sugar concentration of $5 \%$, Eugene has $200$ grams of a solution with a sugar concentration of $30 \%$ and Felix has $300$ grams of a solution with a sugar concentration of $10 \%$. They mixed the solutions together. What is the concentration of the resulting sugar solution? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] |
2023-07-07T00:00:00 | 17d3038b31954df3beaf2a17eef6f2f2 | 1 | short_answer | Work out $715 − 364$. | [
"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 | b4c07ba5dcbe471282f64123c9e4bd81 | 1 | short_answer | Joshua has blue, black and green pens. He has $4$ times the number of blue pens than black pens, and $2$ times the number of green pens than black pens. If he has $9$ black pens, how many pens does he have in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | f5a6c0d6715945a695ecf6dfbb64f92e | 1 | short_answer | Andrew and Gill together have $$62$$ pencils. Gill has $$18$$ more than Andrew. How many pencils does Gill have? ~\uline{~~~~~~~~~~}~pencils | [
"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 | f6df3f11753e4cdc80268ae5f06e3ade | 1 | short_answer | Twenty litres $$(L)$$ of punch that contains $$35 \%$$ fruit juice is mixed with $$30$$ litres of punch that contains $$60 \%$$ fruit juice. Find the percent concentration of the new mixture. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] |
2023-07-07T00:00:00 | 9e3c2c6854d3426e92fab24e9a0b03a3 | 1 | short_answer | There are $$4$$ people in a group. They need to shake hands with each other, and only one handshake is allowed for every two people. How many handshakes are there within the group? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 718e8dda7ebd4d5fb3b2c9ce80ba10e6 | 1 | short_answer | Work out $$58+74$$ 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 | bae752593a0041d5ad09bba75d528d91 | 1 | short_answer | Wendy made some badges for an event. She sold $$\frac{5}{7}$$ of the badges on the first day and $$\frac13$$ of the remaining badges on the second day. She then made an additional $$354$$ badges and in the end, she had $3$ times the number of badges she made at first. How many badges did she make for the event at the beginning? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | d01d33f6697441ebb3567f6b25f6068c | 1 | short_answer | $3.8 + 59.6 -- 12$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Mixed Operations of Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | cecb4b4d838e4a73937b529a2db06ceb | 3 | short_answer | A box could contain $$9$$ cookies. There were $$148$$ cookies. How many boxes were needed? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 82bde9d1e9404bf391015eb87b176f5d | 1 | short_answer | In a three-digit number, one of the digits is 7 and the difference between any two of the digits is 4 or less. What is the smallest this number could be? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (sign of operations)->Obtaining Maximum/Minimum Values "
] |
2023-07-07T00:00:00 | 3a8d9debec2f4fc3a575d0ea16005083 | 1 | short_answer | Teacher Michelle told Andy that the password to unlock her treasure chest is "$$\text{Angel}$$", which represents the following numbers $$0141705021$$. Now, she changes her password to "$$\text{Devil}$$" and let Andy to unlock it. $ $ Andy tries in the following numbers: $$4005220912$$ Do you think Andy can unlock the treasure chest? If yes, please give your reason. If no, please provide the correct password. | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Letters"
] |
2023-07-07T00:00:00 | 423cce1700d94adeb333d25876d65a23 | 1 | short_answer | Four people are playing a knockout tournament for Scissors Paper Stone. At least how many round of games will be play so that the winner can be determine? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"
] |
2023-07-07T00:00:00 | 107b6a756a8e456194025d4361f2a118 | 0 | short_answer | How many times does the digit \textquotesingle$$2$$\textquotesingle{} appear in the page numbers of a book that has $$100$$ pages? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Questions Involving Page Number"
] |
2023-07-07T00:00:00 | d6ed026fb584429b8dc2a4b41d3885fe | 1 | short_answer | In an exhibition organized by company $A$ and $B$ together, there is a total of $498$ exhibits produced by only $A$, or only $$B$$, or both. Among them, $$266$$ exhibits are not produced by company $A$ and $$178$$ exhibits are not produced by company $$B$$. How many exhibits are produced by both company $A$ and $$B$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 10a4f68009184b2f9611a45a014abd56 | 0 | short_answer | In Moscow at noon it is $$4^{}\circ\text{C}$$. By midnight the temperature has dropped by $$10^{}\circ\text{C}$$. What is the temperature at midnight? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | 868f76b6c8934a7885d5e14c1c5de743 | 1 | short_answer | An amateur magician wanted to prepare a magic trick. He has a bag with $8$ blue balls, $10$ red balls and $13$ green balls. At least how many balls must the magician pick to guarantee that he will pick one ball of each colour? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | 1ebfe4d3586444b28bbdf27520a1abab | 1 | short_answer | I am a number between $200$ and $300$. I have remainder $$3$$ when divided by $$6$$. I have remainder $$3$$ when divided by $$7$$. I have remainder $$5$$ when divided by $$11$$. What am I? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation",
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning "
] |
2023-07-07T00:00:00 | 27181cdb9b38443f964d9820ad8f0b75 | 1 | short_answer | $$2016$$ Rosyth School, Topical Test $$1$$, Primary $$4$$, Question \#$$16$$ The total cost of $$3$$ skirts and $$2$$ blouses is ＄$$317$$. Each skirt costs ＄$$14$$ more than a blouse. Find the cost of a blouse. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 82a919f9eba447aab7c5e2b20dd75061 | 1 | short_answer | Given that $A$, $B$ are two primes, and $8A-3B$ is a multiple of 3. What is the value of $A$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | 6ca3b864aba0479d81b5e2d80e516196 | 3 | short_answer | A rich man bought a house two years ago. The housing market is buoyant, and after a year the house had increased in value by 10\%, so the value was £110,000 in the last year. In this year, the housing market slumps. The house loses 10\% of its value. Comparing with the original price, calculate the amount of profit or loss in this year. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | e9e57ebfab514d86a5ed141c3c353815 | 1 | short_answer | There are $$3$$ different colors of roses, $$4$$ different colors of jasmines, and $$1$$ daisy put in a line. If flowers of the same kind need to be put together, how many different ways are there to arrange these flowers? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | d7e151832f704caeb06c6674341c5d53 | 1 | short_answer | There are $$235$$ pupils in Room $$A$$ and $$567$$ pupils in Room $$B$$. $$A$$ teacher transferred some puplils from Room $$B$$ to Room $$A$$ so that both rooms have the same number of pupils. How many pupils were there in each room after the transfer? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Giving and Receiving"
] |
2023-07-07T00:00:00 | ea25f69560044c42a5dc8b686d83b90f | 1 | short_answer | A number $m$ is the multiple of $$1\times 2\times 3\times 4\times 5\times 6$$, and is the factor of $$1\times 2\times 3\times 4\times 5\times 6\times 7\times 8$$. How many possible values does $m$ have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 3ad5f155b2244cbcb39a2d0959b08316 | 1 | short_answer | In one equation, how many different positive integers at most can add up to $$60$$? | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 46df85e92a924b12ac1d505c93cd885c | 1 | short_answer | George baked some custard pies and wanted to give them to his friends. If each friend received $$5$$ custard pies, he would have $$3$$ custard pies left. If each friend received $$6$$ custard pies, he would be short of $$2$$ custard pies. How many custard pies did George bake?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Counting Modules",
"Overseas In-curriculum->Knowledge Point->Knowing Numbers->Characteristics of Numbers ->Factors and Multiples->Finding Multiples of a Given Number"
] |
2023-07-07T00:00:00 | a37a54e4fb8445b4bc0772fa3a12e2ff | 0 | short_answer | A coat cost ￡$$125$$ and was then reduced by $$20 \%$$ in a sale. What is the new price? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 8b18733b1be0419dba54b2eb00a90c19 | 1 | short_answer | $12321\div9$ | [
"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 | 2b8380c480924871bff4133ed7e6b4db | 1 | short_answer | Water from a tap leaks at a rate of $$20\text{ml}$$ per $$\rm min$$. At this rate, how much water is leaked in one hour. Give the answer in litres. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity",
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions",
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | 07de75394b5841918be5feca68429eb9 | 0 | short_answer | In the following alphametic, all the different letters stand for different digits. Find the three-digit sum $$SEE$$. | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles"
] |
2023-07-07T00:00:00 | 9161eca90a924c55a4b89f523ab076ad | 2 | short_answer | （UK Emanuel School Entrance Examination Year $7$ Entry Question \#$28$） 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 | 7c7eeadfbdca4d60ababafecea8a2a6a | 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 | 681ad7cd00094b8b958f2990dc828dc1 | 2 | short_answer | Two watermelons and three honeydews cost ＄$$48$$. Each honeydew costs twice as much as each watermelon. What is the cost of a watermelon? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | 5a18e751149d448d874661947903bc87 | 1 | short_answer | There are $$4$$ black socks, $$4$$ grey socks and $$4$$ red socks in a drawer. Cindy is supposed to get her father a pair of socks but the light in the room goes off. How many socks must she get from the drawer so that there is at least one pair of 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 | 0b55e6a4e6c14d308cec4f22d3a63d1a | 1 | short_answer | Dominic, Hannah and Abdul have $$63$$ sweets between them. Dominic has twice as many sweets as Hannah. Abdul has $$3$$ times as many sweets as Dominic. How many sweets does Abdul have? | [
"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 | 08b4fb633ec84894aa5ff3a4608e3b6b | 2 | short_answer | SASMO 2015 P2 Q17 There were 10 pieces of paper. Some of them were cut into three parts. Altogether, there are now 16 pieces of paper. How many pieces were cut into three parts? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division"
] |
2023-07-07T00:00:00 | fb238c080afd420c908c028ca9054101 | 1 | short_answer | There are $$4$$ red apples and $$4$$ green apples in a bag. How many apples must you take from the bag before you get $$2$$ apples of the same colour? | [
"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 | d5f9287c340749138bbce5897de4eb98 | 1 | short_answer | What number (written in digits) is twenty less than twenty thousand? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Expression of Place Value Principle"
] |
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