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timestamp[s] | queId
stringlengths 32
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stringclasses 5
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stringlengths 6
2.89k
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | a547b3e6bb76410c9882a46dc1128679 | 1 | short_answer | Tom wrote the numbers from $1$ to $129$ on the whiteboard. How many digits did he write? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Patterns of the Last Digits of Square Numbers"
] |
2023-07-07T00:00:00 | dafcea06104b4591957d341d8390c6b3 | 1 | short_answer | Paul made a sugar solution by mixing $80\text{g}$ of sugar and $420\text{g}$ of water. What is the concentration of the sugar solution? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | de19699381254d53a19e09b250810369 | 2 | short_answer | Students from Think-School are arranged in a square array with equal row spacing and column spacing on the playground. The outermost layer of the array is full of boys, and the adjacent inner layer is full of girls, then boys, then girls and so on until the innermost layer is reached. If there are $36$ more boys than girls in total, find the total number of students. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | e0d4db42f51a486ebc92cb7153896228 | 2 | short_answer | Three men take two days to dig a trench $120$ metres long. How long would it take four men to dig a trench $880$ metres long? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with Two Variables"
] |
2023-07-07T00:00:00 | 14976163f7ed48a59ba08230a3a9fbbe | 1 | short_answer | Ellie and Gloria have to interview a total of $$400$$ people. Ellie can interview $$60$$ people every week. If Gloria and Ellie work together, they can finish all the work in $$4$$ weeks. How long will it take to finish interviewing everyone by Gloria herself? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 4fe05ec372ae4fd388877825449c2f71 | 0 | short_answer | Change $1756$ grams to kilograms. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight"
] |
2023-07-07T00:00:00 | 5065cc90f1ca4fd59386ac472c8bfc71 | 0 | short_answer | Find the value of □: $\frac{{2}}{{5}} = \frac{□}{15} $，□=~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions"
] |
2023-07-07T00:00:00 | aee6713edde34c8cb3f3aae969752a2a | 1 | short_answer | There are $$18$$ books on the first shelf. There are $$24$$ books on the second shelf. How many books must be moved from the first shelf to the second shelf such that the second shelf has twice as many books as the first shelf? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | ee3f24407cd74ec0b0589c27b4bb2f13 | 1 | short_answer | Calculate $$\left( 285\frac{6}{7}+181\frac{10}{11}+153\frac{12}{13} \right)\div \left( \frac{1}{7}+\frac{1}{11}+\frac{1}{13} \right)$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Fast Calculation in Fractions"
] |
2023-07-07T00:00:00 | 7896d35343b54b5c86ea275d9e4da9f6 | 1 | short_answer | In a cass, $$5$$ pupils arein the schoolband and~ $$\frac{3}{4}$$ of the remaining pupils are in the school choir. If $$\frac{2}{9}$$ of the class are neither in the band nor the choir, how many pupils are there in the class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Converting Between Different Units of Measure 1"
] |
2023-07-07T00:00:00 | 9b43946bb50b4a52b1278ce86046276a | 1 | short_answer | It takes a car $$20$$ s to entirely cross a $$300$$-m bridge. Find the speed of this car. (The width of the car is negligible.) | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 817e9b740c9f4606b0221520b9045134 | 0 | short_answer | $$28-3(24-5x)=1$$．x=． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | d7a25a03a50d4d6f870a401ce650e9a1 | 2 | short_answer | Jonathan has some lollipops and he wants to put them into boxes. When he puts $$4$$ lollipops into each box, he has $$32$$ lollipops left over. When he puts $$7$$ lollipops into each box, the last box had only $$3$$ lollipops. How many lollipops does Jonathan have? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | f407d2ea5de540a9874f5a1d203b573e | 1 | short_answer | There is a total of $$47$$ tennis balls. A long tube can hold $$8$$ balls. A short tube can hold $$5$$ balls. How many long tubes are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems"
] |
2023-07-07T00:00:00 | d51becf0516a4eeaa5484909769ed784 | 1 | short_answer | The third term of an arithmetic sequence is $$8$$ and the ninth term is $$26$$. What is the $$11^{}\text{th}$$ term? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | bbbdd4f32eff450382ddff68d9210fd4 | 1 | short_answer | Felicia and Janice had some bracelets. Felicia sold $$\frac{{3}}{{5}}$$ of her bracelets. Janice bought $$\frac{{2}}{{5}}$$ of the bracelets that Felicia sold. Then, the ratio of the number of Felicia\textquotesingle s bracelets to the number of Janice\textquotesingle s bracelets became $$5:7$$. If Janice had $$96$$ bracelets at first, how many bracelets did Janice buy from Felicia? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Complex Ratio Problems"
] |
2023-07-07T00:00:00 | acf798e814284f3da1ec80f45daf1b22 | 2 | short_answer | Calculate: $$1^{3}+2^{3}+4^{3}+5^{3}+7^{3}+8^{3}+10^{3}+11^{3}+13^{3}+14^{3}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1³+2³+3³+......+n³=(1+2+3+......+n)²"
] |
2023-07-07T00:00:00 | 71858362e80c462a97a1d69a789cf304 | 1 | short_answer | A book usually costs £$$18.60$$ but it is reduced by $$15 \%$$. How much does it cost now? Pip\textquotesingle s answer:~$18.6\times15 \%=2.79$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | 31d498c8de6444af9466c0b067804d9a | 1 | short_answer | Will is doing a decimal multiplication, but he forgets to put down the decimal point of the number $$4.32$$. The result turns out to be $$2138.4$$ greater than the true result. What is the value of the true result? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | bd44c92e7ad64e179de147924944ccae | 1 | short_answer | Consider the three numbers $$2017$$, $$2758$$ and $$3670$$. When they are divided by a number $$A$$ , the remainder is the same for each of the three numbers. What is the sum of the possible values of $$A$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Congruence"
] |
2023-07-07T00:00:00 | cb369155904d41d3bbbbf4c1966b3f44 | 1 | short_answer | $$9+99+999+9999=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"
] |
2023-07-07T00:00:00 | 87557efca8df42a1b34010678b9a23bf | 2 | short_answer | $$448$$ candies were shared among some children. Each boy was given $$5$$ candies and each girl was given $$3$$ candies. There were $$8$$ more girls than boys. How many children were there in total?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 5a55a211033946a2b4c35af17fa8dfc6 | 0 | short_answer | Work out $5 + 4 \times 2$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 119dc81932594423a821eb0e3835d800 | 1 | short_answer | Ella has some pieces of milk candy and fruit candy in a box. At first, the ratio of milk candy to fruit candy was $$7:9$$. After Ella ate eight pieces of milk ones, the ratio changed to $$2:3$$. How many pieces of milk candy were there in the beginning? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with an Invariant Part"
] |
2023-07-07T00:00:00 | 708d8a95115e435f83a7c21859083e21 | 1 | short_answer | Work out $$15-8.36$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 40f1f703a3914f699ce57ea08f21df7e | 1 | short_answer | When an integer $B$ is divided by $3$, the remainder is $1$. When it\textquotesingle s divided by $5$, the remainder is $2$. What is the smallest possible value of $B$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 8370d497cc534bd1b69b748b4f2e7acf | 1 | short_answer | On 1\textsuperscript{st} December 2008, my grandmother was 80 years old. My mum was 40 years old on 1\textsuperscript{st} December 1996. How old was my grandmother when my mum was born? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | dcce40d2c5394a368e9835c3bd85ebaf | 1 | short_answer | Watson wrote down a number sequence: $$4$$，$$5$$，$$6$$，$$\cdots \cdots $$, $$49$$，$$50$$，$$51$$ The digit "$3$" in the number "$23$"~is the~\uline{~~~~~~~~~~}~digit he wrote. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | eedf0a2b13c7480981b6f0ae90e36208 | 1 | short_answer | Ronald sold drinks at a sports match. He sold bottles of lemonade at ＄$$4$$ each and bottles of "$$1000$$ Plus" at ＄$$7$$ each. He started with a total of $$350$$ bottles. Not all were sold and his total income was ＄$$2012$$. What was the minimum number of bottles of "$$1000$$ Plus" that Ronald could have sold? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Indefinite Equation Word Problems"
] |
2023-07-07T00:00:00 | 513eb21b2999465f94c54ad7c1660b36 | 1 | short_answer | Ben is distributing apples to his friends. If Ben has $60$ apples in total, each of his friends can get $4$ apples. If each of his friends asks for one more apple, how many apples does he need to prepare in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | f7fe37c32c4d45b2971f9a684a87178f | 2 | short_answer | SASMO 2015 P2 Q15 Yohan had 10 white socks, 10 red socks and 10 black socks in his drawer. How many socks at most, must Yohan take from his drawer, without looking, till he gets a pair of white socks? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | 3bce0db903cb4b46828346019eae5cb1 | 1 | short_answer | Calculate $546+287$ | [
"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 | 7c8ab5ff603c4374855b52023ed9bc79 | 1 | short_answer | Janet's marks on five mental arithmetic tests are: $$15$$~ ~ ~ $$19$$~ ~ ~ $$13$$~ ~ ~ $$18$$~ ~ ~ $$20$$ What is her mean (average) mark? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly"
] |
2023-07-07T00:00:00 | 6d772586b0a84788980ab24fb3d29532 | 1 | short_answer | $$112$$ students were grouped into groups of either $$4$$ or $$6$$. If there were $$24$$ groups altogether, how many groups had $$6$$ pupils? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | a04e2fb1ed1c471b8449b601924beb05 | 2 | short_answer | The average of three numbers is 60 . With the fourth number added, the average of the four numbers becomes 90 . The fourth number is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | 2766d440a8354c518fb5b8de557b59a9 | 0 | short_answer | How many centimetres are in $$0.52$$ metres? ~\uline{~~~~~~~~~~}~$$\text{cm}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"
] |
2023-07-07T00:00:00 | 0395b9449a6542edbdcf5b5c06f47904 | 1 | short_answer | In the following, same letter represent same numbers but different letters represent different number. Find the value of the $$3$$-digit number $$\overline{ABC}$$ | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles"
] |
2023-07-07T00:00:00 | e63cc75a785d4d938794d1691bdf1f91 | 1 | short_answer | $10000$ years ago, Owen the fisher traded $3$ fish for $2$ rabbit from Oscar the hunter. Then, Oscar traded $3$ rabbits for $4$ packs of wheat from Dennis the farmer. How many fish should Owen give Dennis for $8$ packs of wheat? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Simplifying Continued Ratios"
] |
2023-07-07T00:00:00 | f16f67a593394039a3ef72a2e5b5e457 | 1 | short_answer | How much change would lget from ￡$$20$$ if l bought $$3$$ pens at $$1.60$$ each, $$2$$ pencis at $$62$$p each and a magazine for ￡$$4.50$$ ? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Four Operations of Decimals"
] |
2023-07-07T00:00:00 | 5b21a1a7d2744fbfa57fbc46e69a365c | 1 | short_answer | Alicia bought a handbag for ＄4$$28$$ after a discount of $$20 \%$$. She also bought a purse at $$28 \%$$ discount. The total discount for the handbag and the purse was ＄$$121$$. What was the price of the purse before the discount? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | fdf018bb61cc4677813a36cc14cfe619 | 1 | short_answer | Work out $$65+88$$ 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 | 833b1df560b94f9e8b69c9356f27b429 | 1 | short_answer | How many consecutive zeros are there in $$1\times 2\times 3\times 4\times \cdots \times 24\times 25$$? | [
"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 | 732cda7ed4134de8b845829f981525ea | 1 | short_answer | $$0.\dot{A}\dot{2}$$ is a recurring decimal with two digits in the recurring pattern. Given that the sum of the first $20$ digits of it after the decimal point is $80$, what is $A$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | 59cc2f9a46c248fd832ddb6e4cb5db84 | 1 | short_answer | A snail wants to climb out of a $$25$$ metre well. It climbs up $$4$$ metres during the day and slides down $$1$$ metre at night. Which day can the snail climb out? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 67da5f022f834e8d9713e38fb01fce1b | 0 | short_answer | Sally goes to dancing lessons and Ben goes to football lessons. If Sally dances twice a week, how many times does she go dancing in $$2$$ weeks? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 104457856ee04bf79d6b2d936f9025bb | 1 | short_answer | Every morning, Star goes out to exercise. At $$\rm 6:30 a.m.$$ Star leaves home and begins jogging at a speed of $$6$$ miles per hour. At $$\rm 7:00 a.m.$$ Star feels a little bit tired and begins to walk at a speed of $$5$$ miles per hour. At $$\rm 8:00 a.m.$$ Star finishes her exercise. How many miles does Star travel in total every morning? | [
"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 | d54e6eab7a2b49a8afcd367d2c88a350 | 3 | short_answer | Elvin went to a shopping mall. He spent $$ $120$$ on a chair and $$40 \%$$ of the remainder on a jacket. He had $$30 \%$$ of his original amount of money left after shopping. How much money did he have at first? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | e2f0ace2f5554ef4a4b96194cf69005f | 0 | short_answer | What is a quarter of $$398$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 8dfe115ec4fe4aa881b30f336c891785 | 1 | short_answer | In this series of fractions: $$\frac{1}{6}$$, $$\frac{2}{7}$$, $$\frac{3}{8}$$, $$\cdots$$ , $$\frac{2010}{2015}$$, $$\frac{2011}{2016}$$, how many of them are in the simplest form? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions"
] |
2023-07-07T00:00:00 | a900a568f02d4a159d7b0f8c62c4e745 | 0 | short_answer | Find the Lowest Common Multiple of the following pair of numbers $6$ and $10$. | [
"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 Two Numbers"
] |
2023-07-07T00:00:00 | 1aaf2aac3d134b9e8804dd390e239bda | 1 | short_answer | Jimmy puts $$35$$ books on $$4$$ layers of his bookshelf. How many books at least are there in the layer with the most books? | [
"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 | f1d3495298e84267bc30b1547d7319b6 | 1 | short_answer | Ahmad bought some books at an average price of $$$3.50$$ each. He bought another $$2$$ books at $$$6$$ each and the average price became $$$4$$. How many books did he buy altogether? | [
"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 | 4f73e090c9d24ebf8913ba71fddf7af3 | 1 | short_answer | How many different three-digit numbers can be formed using the numbers $$1$$ , $$2$$ , $$3$$ , $$0$$?（without using the same number two times like $$11$$） | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | 844bb71707b14ba9b438958cdcf143a8 | 1 | short_answer | The first term of a sequence is $$50$$, the second is $$46$$, the third is $$42$$ and so on. How many terms are there before the first negative term? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The Number of Terms in an Arithmetic Sequence"
] |
2023-07-07T00:00:00 | 483d2059d96645c8a1cd0eaef152a05a | 1 | short_answer | Given that the three positive integers $$a$$, $$b$$, and $$c$$ are such that $$a+b+c=31$$, find the largest value of $$abc$$. | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums"
] |
2023-07-07T00:00:00 | 79aaa41810464d378e8d61b04cee59b9 | 1 | short_answer | $$129.35-0.47$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | cd0cb1ffbdd74527b73e0b27a88458ad | 1 | short_answer | Rachel and Alice have some pieces of candy. If Rachel gives Alice $10$ pieces of candy, then they would have the same number of pieces. However, if they both eat $8$ pieces of candy, Rachel has $3$ times as many pieces of candy left over as Alice. How many pieces of candy did they have in total originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 7673b69c12a4478ba10dd72c7cba39cc | 1 | short_answer | Abdul is making some small snacks for a party. He cuts $1.2\text{kg}$~of cheese into a number of $30\text{g}$~pieces. How many pieces does he have? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight"
] |
2023-07-07T00:00:00 | 4ecf79f778ae40b686861b81b759f60e | 1 | short_answer | Hannah brought a $2.5$ liter Coke from the grocery store. Her cup has a capacity of $0.5$ quart. How many cups of Coke can she drink with the Coke she just bought? (round to nearest integer) | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion"
] |
2023-07-07T00:00:00 | 6d6e8256edb347ee9e3d4d5dfa3a712c | 1 | short_answer | Subtract $189$ from $748$ | [
"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 | a3975ec5c3e042a19cc5b99120625ee9 | 1 | short_answer | ($$2015$$ National Mathematical Olympiad of Singapore, Special Round, Question \#$$18$$)\hspace{0pt}\hspace{0pt} In the following equation, different letters represent different numbers. $$5 \times \overline{ABCDEF}=6 \times \overline{EFABCD}$$ The letters $$B=2$$ and $$D=0$$ are known, so what is the four-digit number represented by $$"FACE"$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"
] |
2023-07-07T00:00:00 | 4845459ce472463eab28814467f9c4ae | 1 | short_answer | Work out $12.3 + 4.9$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | 3a7e7f1ca5674fc894e02d029b5853cd | 0 | short_answer | $3\times$~\uline{~~~~~~~~~~}~$=18$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication within the Multiplication Tables"
] |
2023-07-07T00:00:00 | bd4a58a9e1f346c2a02141211d17aad3 | 1 | short_answer | Every morning, Star goes out to exercise. At $$\rm 6:30$$ a.m., Star leaves home and jogs at a speed of $$6$$ miles per hour. At $$\rm 7:30 $$ a.m., Star feels a little bit tired and walks at a speed of $$5$$ miles per hour. At $$\rm 9:30$$ a.m., Star finishes her exercise. How many miles does Star travel in total every morning? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | f9418bd52e404cb0ba8323619f7e16d9 | 1 | short_answer | Angel had $\frac{5}{6}$ as many sweet wrappers as Belle. After Angel threw away $58$ sweet wrappers, she had $75 \%$ as many sweet wrappers as Belle. How many sweet wrappers did Belle have?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | c6c173915a8044e697dc662694645197 | 1 | short_answer | In a box of shapes there are three times as many squares as there are circles. There are twice as many triangles as squares. If there are $$45$$ squares, how many shapes are there altogether? | [
"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 | 1806328c303e465aae52d08571416744 | 1 | short_answer | Six years ago, the age of a dad was $5$ times that of his son. The sum of the ages of the dad and his son is $78$ this year. Find the dad\textquotesingle s age this year. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Sums and Multiples in Age Problems"
] |
2023-07-07T00:00:00 | 37a3bced5a4e423d82496aac9bccd711 | 0 | short_answer | Work out $$\frac{4}{9}$$ of $$36$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | a9881864fa194fbdb56c0ce044f7e9a4 | 2 | short_answer | An amount of money is to be divided equally between a group of children. If there was $$20\rm p$$ more than this amount, then there would be enough for each child to receive $$70\rm p$$. However, if each child was to receive $$60\rm p$$, then ￡$$2.10$$ would be left over. How many children are there in the group? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems"
] |
2023-07-07T00:00:00 | b83cbcd4901c48eabd1bebc1c3bd0eab | 1 | short_answer | In her first month on the job, Jessie was excited when she received her first monthly salary, which is $$ $3500$$. She decided to remit $$20 \%$$ of her salary to her parents and the bank charged $$0.5 \%$$ of the remit. How much did the bank charge? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | eeacd0848f0c4bb8b1df25d1292193a6 | 1 | short_answer | Lucy\textquotesingle s mother received ten carnations on Mother\textquotesingle s Day and she wants to divide those flowers into three same vases. Each vase has at lesat $1$ carnation and each group has different number of carnations. How many different ways are there for mom to divide? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 0208115272b747ed9f455438107597e9 | 1 | short_answer | Mr Spendstoomuch has (minus) $$-$$£$$76.20$$ in his account. He gets paid £$$120.75$$. How much does he have in his account now? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | f6c1628be8644402bd9f85c22ea356d8 | 1 | short_answer | Jenny went on a business trip from 2\textsuperscript{nd}~March to 15\textsuperscript{th}~April. How many days did she go on the business trip? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time->Period of Dates"
] |
2023-07-07T00:00:00 | 29b56d3088d1435786656e1ffbb6008d | 2 | short_answer | My special number has a $9$ in the units column. If I remove the $9$ from the units column and place it at the left hand end of the number, but leave all the other digits unchanged, I get a new number. This new number is four times my special number. What is my special number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"
] |
2023-07-07T00:00:00 | ec35840ccd1248e5a6d29e1104245ccc | 1 | short_answer | Seven students (including Eddie and Avril) are lining up to take a picture. If Eddie has to stand on the left end, and Avril is next to Eddie, in how many different ways can the seven students line up? | [
"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 | eb53e414158c466caeef1968156633e7 | 1 | short_answer | Granny tells Dilly that her glove drawer contains $$1$$ left-hand blue glove, $$2$$ left-hand green gloves, $$3$$ right-hand blue gloves, and $$4$$ right-hand green gloves, and asks her to bring a pair of gloves from the drawer. Unfortunately Dilly cannot tell the difference between left-hand and right-hand gloves, but, thankfully, can identify blue and green. What is the smallest number of gloves that Dilly should bring, in order to be sure that these include a matching pair? Circle the correct answer. $$10$$~ ~ ~ $$8$$~ ~ ~ $$6$$~ ~ ~ $$4$$~ ~ ~ $$2$$ | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | 3693bdc4f96c495abe74ef6590148d91 | 1 | short_answer | Seesaws cost £$$200$$ each in January $$2020$$. In January $$2021$$ they had gone up by $$45 \%$$. Calculate how much a seesaw cost in January $$2021$$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | a7dc9f6214394b39a9a7494116ffb8e3 | 2 | short_answer | The \textbf{mean} of the following eight numbers is $$6$$. Find the missing number. $$9$$~ $$7$$~ $$5$$~ $$4$$~ $$1$$~ $$8$$~\uline{~~~~~~~~~~}~$$8$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication"
] |
2023-07-07T00:00:00 | dac30729f20b435e955d54823c225c8a | 2 | short_answer | The gardeners is digging holes around a circular garden that has a circumference of $$300\rm{m}$$ as they want to plant trees around the garden. At first, they dig the holes at every $$3\rm{m}$$. But when they finish digging the $$30^{th}$$ holes, they receive a new order from their supervisor which the need to plant the trees with a constant interval of $$5\rm{m}$$. How many more holes they need to dig to complete the job? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | a9d1e1b3a6ff495da1992840b560d4ec | 2 | short_answer | There are $$10$$ steps on a flight of stairs. Nelson can either climb up one steps or two steps a time. His lucky number is $$5$$, so he must step on the fifth step on the stairs for good luck. How many different ways are there for him to climb up the $$10$$ steps?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"
] |
2023-07-07T00:00:00 | 969bbc016ec64147ba5857f77302bf8c | 1 | short_answer | Rachel and Alice have some sweets. If Rachel gives Alice $10$ pieces of sweet, then they would have the same number of sweets. However, if they both eat $8$ pieces of sweet, Rachel has $3$ times as many pieces of sweet left over as Alice. How many pieces of sweet did they have in total originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 752173f5003b4bd6abe560d6fd64f3ea | 1 | short_answer | A pasta restaurant offers a menu that allows customers to choose from $$2$$ types of pasta, $$3$$ types of sauces and $$2$$ types of toppings. Kylie has to choose one pasta, one sauce and one topping. How many different combinations can she make? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Questions Involving Permutations and Combinations "
] |
2023-07-07T00:00:00 | 55e306d2ed6b464bba4d3a62d5c153a4 | 1 | short_answer | I think of a number, add $$3$$ then divide by $$4$$. The answer is $$12$$. What is my starting number? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | 25a9b81e1f254a22ba8254c18f4094b6 | 1 | short_answer | Calculate: $$1\times15+2\times14+3\times13+\cdots+15\times1$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Extracting Common Factors from Whole Numbers"
] |
2023-07-07T00:00:00 | d53e348d27d24f5f894e4c70ba210f90 | 3 | short_answer | $$A$$ had some cookies. When $$A$$ divided the cookies among $$3$$ friends, she had $$1$$ cookie left. When $$A$$ divided the cookies among $$4$$ friends, she had $$3$$ cookies left. When $$A$$ divided the cookies among $$5$$ friends, she had $$4$$ cookies left. What was the least number of cookies that $$A$$ had? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 2553265bfbbf4a7aaae766e5e726bdde | 1 | short_answer | $38$+$56$ $\div$~ $7$ $\times$ $4$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | 5fe9f334c8c54820a5b563a6ccd139b0 | 0 | short_answer | A certain book has its pages numbered from $1$ to $50$. Then any page number that contains the digit "$3$" is entirely erased. What is the sum of all the numbers that were erased? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 7a4bff3e5801439598b5006a37f9e671 | 1 | short_answer | Insert two pair of brackets to make the result of the equations biggest. $$15+5\times5+15-6+7$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 9ec6921203444761a39b2c67e85f0e88 | 1 | short_answer | A book uses $$792$$ digits for printing its page numbers. How many pages does the book have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence of Specified Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | a8c6a94a28e9428ab4b13cce74354488 | 1 | short_answer | Ivan\textquotesingle s average score in five assignments is $80$. Billy\textquotesingle s average score is $89$ for the first four assignments. If Billy wants to score $10$ more marks than Ivan in the overall average score, find the score he needs in the fifth assignment to achieve this goal. | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | 50d48bd4a4534e6794fdff42085da5c9 | 1 | short_answer | The worker wants to repair a $$305$$-metre-long water pipe. If the length of each water pipe is $$5$$ metres, approximately how many water pipes are needed? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Short Division"
] |
2023-07-07T00:00:00 | 6580c0b5f26f44f8b40aa50046f59348 | 1 | short_answer | There are $$3$$ ways to add two whole numbers to give a sum of $$6$$: $$1+5=6$$ $$2+4=6$$ $$3+3=6$$ How many ways are there can two whole numbers added up to give a sum of $$1000$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Inductive Recursion"
] |
2023-07-07T00:00:00 | 649064d7c05f4454a41370190bf8d34e | 1 | short_answer | Part of a number sequence is shown. $\cdots \cdots, 39, 44, 49,\cdots \cdots $ If these are the $7^{th}$, $8^{th}$~and $9^{th}$~values in the sequence, what is the $100^{th}$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | a1e89dc194cd4d63832576ee3cf6e989 | 1 | short_answer | Linda was asked to find the value for $m$, given that $1260m$ is a square number. Determine the value of $m$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers"
] |
2023-07-07T00:00:00 | 689c63a78be543f190535ba4297790fc | 2 | short_answer | A teacher distributes apples and peaches among the students. There are 45 peaches. If the number of apples is five more than twice that of peaches, find the number of apples. (Please show the process) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 8690a8a142c04f6691c64b0d4fb396ae | 1 | short_answer | Ryan has a collection of baseball cards. If the cards are arranged in piles of four, three cards will be left. If he arrange them in piles of seven, three will be left. Suppose the cards are arranges in piles of $$28$$. How many cards will be left? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | c736e99075ea4aa78054fd8167197424 | 1 | short_answer | When a two-digit number is divided by $8$ or $11$, there is always a remainder of $6$. What is the number? | [
"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 | b61ef7925dd94c3fb08a4830a036e4a4 | 1 | short_answer | Given that $$9^{5}$$ means $$9\times 9\times 9\times 9\times 9$$. What is the value of the ones digit in $$999^{99}$$? | [
"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 | ada1b1b89cec47f8849cd2d017a8b183 | 1 | short_answer | $$40$$ students want to travel to a small island within a great lake. If each boat can only fit $7$ people, at least how many boats are needed for all the students to reach the island together? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 3accd80c3de74ff4b09605882d0d3036 | 1 | short_answer | Jason bought a table for £$$151.25$$ and a chair for £$$24.15$$. How much did he spend in total? | [
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Decimals->Addition of Decimals",
"Overseas In-curriculum->Knowledge Point->Operations of Numbers -> Money Word Problems ",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
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