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 | a0a9b4817586473ab82958503266de20 | 1 | short_answer | $$82+5135+109$$ | [
"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 | 7e59f3d16bb944d0af7260fa7a6a1a05 | 2 | short_answer | Calculate $${{2}^{2}}+{{5}^{2}}+{{8}^{2}}+{{11}^{2}}+\cdots +{{29}^{2}}+{{32}^{2}}$$． | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 0d83a44b34bd44cba27a54d4aa0c0f8b | 1 | short_answer | Find the remainder of $$\frac{{{2}^{2019}}}{{{4}^{982}}-{{2}^{1963}}}$$divided by $$5$$． | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->The Relationship between Exponents and the Number of Factors"
] |
2023-07-07T00:00:00 | 62900d76501a411095425c90066b6baa | 0 | short_answer | Originally, there were equal number of tables and chairs in a shop. After selling away $$42$$ tables and bringing in $$24$$ chairs, the number of chairs will be $$4$$ times as many as tables. How many chairs were there in the shop originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 501f99ad661542b685b7602cc769d419 | 1 | short_answer | Find $$35 \%$$ of £$$700$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 1f92ac5fcbf346a58c902a4e56d63b9f | 1 | short_answer | The storage room of a school has a row of cabinets. There are $$4$$ cabinets to the left of Candy\textquotesingle{} s cabinet. There are $$7$$ cabinets to the right of Candy\textquotesingle{} s cabinet. How many cabinets are there in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of one Character in a Line"
] |
2023-07-07T00:00:00 | d0df4689449e49dbaa0b915c5b1e0d16 | 1 | short_answer | Work out: $$1914\div6$$ Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 72e9171f682743098c4b8fec888c8a50 | 1 | short_answer | The bookstore bought $$455$$ books on the first day and $$198$$ books on the second day. How many books did the bookstore buy in two days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 1a265e25f6874c5db75962c369ac17bc | 1 | short_answer | How many $$3$$-digit even numbers are there such that the sum of the digits is $$7$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 71839d8b337447be8093660f325bbed7 | 2 | short_answer | A $$4$$-digit number $$\overline{106Y}$$ is divisible by $$18$$. Find the value of $$Y$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | b5bf6927be4b4a3087a39281607f3658 | 0 | short_answer | Breet buys $$15$$ pieces of cookies from the bakery. His friend feels hungry and he eats $$6$$ pieces of cookies. Now how many pieces of cookies does Breet have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | d75c9444af574fdf91925c609d2dc5d8 | 0 | short_answer | Mrs Smith orders $$8$$ boxes of glue sticks for each class. If there are $$5$$ classes, how many boxes of glue sticks has she ordered altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | b61bf81e98dd4cc3b300767de6effa6e | 0 | short_answer | The last two digits of a four-digit number $49\square \square$ are unknown. If this number is divisible by $2$, $3$ and $5$, find the largest possible value that the four-digit number can be. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 0c07d3cceff140638bcc02cfd4b815c0 | 1 | short_answer | Some motorcycles with $2$ wheels, cars with $4$ wheels and lorries with $6$ wheels are in a car park. There\textquotesingle s a total of $$27$$ vehicles and $$96$$ wheels. The number of cars is equal to the number of lorries. Find the number of cars in the car park. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 4950b20e3ff347308b65c01922e1ecd1 | 2 | short_answer | Calculate: $$\frac{1^{3}+2^{3}+3^{3}+\cdots+100^{3}}{1+2+3+\cdots+100}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1³+2³+3³+......+n³=(1+2+3+......+n)²"
] |
2023-07-07T00:00:00 | 64edc5874141435dbc97c986f5c8c721 | 1 | short_answer | A jar with $5$~chocolates in it has mass $185\text{g}$ and the same jar with $17$ chocolates in it has mass $317\text{g}$. What is the mass of the jar with~$10$ chocolates in it? Answer:~\uline{~~~~~~~~~~}~$\text{g}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Writing down the Expression according to the Description "
] |
2023-07-07T00:00:00 | 7c6943752cfb4c10ba5d271cbd98b7f5 | 1 | short_answer | Ana is $116\text{cm}$~taller than Olaf. Kristoff is five and a half time the height of Olaf. Ana is $150\text{cm}$. How much taller is Kristoff than Ana? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple->Difference and Multiples of Multiple Variables"
] |
2023-07-07T00:00:00 | 5f82ecd1f2614283b498976475a87d7c | 2 | short_answer | \textbf{Propotion} John bought $\dfrac{4}{5}$~as many pears as apples and $\dfrac{2}{5}$~as many mangoes as apples. She paid a total of $150 for all the fruits. The ratio of the amount of money she spent on the apples to the amount she spent on the pears was 3:2. The ratio of the amount of money she spent on the pears to the amount of money she spent on the mangoes was 1:5. The cost of each apple was $0.60. Find the total number of fruits John bought. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 825b09d6a8a7435181cbe8f03a8719e8 | 1 | short_answer | Work out $$113-29$$ Answer~\uline{~~~~~~~~~~}~ | [
"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 | 67726d4c5f1c43f99ab8c34d4c1d1255 | 1 | short_answer | Sally made $$700\text{g}$$ of sugar solution with a concentration of $$32 \%$$ 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 | 9e5d33c0a5ac43408701c0c051cab6e9 | 1 | short_answer | A seven-digit number $1992\square\square\square$ is divisible by $2$, $3$, $5$ and $11$. What is the smallest possible value of the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | ccf4b3c1375049a0a9b0d364cd87dedb | 1 | short_answer | Subtract~$\dfrac{1}{10}$ from $3.05$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Addition and Subtraction of Fractions"
] |
2023-07-07T00:00:00 | ca40261e554e488db8f2110589404752 | 1 | short_answer | $$21$$ trees are to be planted along a road $$800$$ $$\text{m}$$ long at regular intervals. If both ends of the road are planted with trees as well, how far is one tree from another? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | 41cb580f803a4484aa9de2340f620cd5 | 1 | short_answer | What is $132 \div 11$? | [
"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 | bee2bb31e9cc4bfd97c140eb2cd7ca84 | 1 | short_answer | In three years from now, Hazel will be $$9$$ years old. Jessica is $$3$$ years younger than Hazel. What will be their total age next year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | b5e2b7a8198347d0b928d1181cc5ab24 | 2 | short_answer | Red Star Primary School saved a total of $$366$$ kWh of electricity in the first half of the year, and an average of $$65$$ kWh per month in the second half og of the year. How much electricity was saved on average per minth last year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | e20396c1126c4c378303deff5dbb8965 | 1 | short_answer | In how many ways can the letters in the word \textquotesingle ELEMENT\textquotesingle{} be arranged? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | d09c9b0c4c064e1d91b4be6e28603df8 | 2 | short_answer | $$4+5+\cdots +10+11=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 2f7331548e4c4ead9882750734e9dcb3 | 2 | short_answer | Find the greatest common factor of $4811$ and $1981$ using the Euclidean Algorithm. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | 56e4e8204ffd46788f19f0fb559476b9 | 1 | short_answer | Avril\textquotesingle s average score on six assignments is $92$. Given that the average score of her first five assignments is $94$, what is Avril\textquotesingle s average score on the sixth assignment? | [
"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 | 60a921961e274ba6b7944a53c0a16d35 | 2 | short_answer | A shop purchased some shoes at $$ $65$$ per pair. It then sold them at $$ $74$$ per pair. The shopkeeper calculated that the profit earned was $$ $440$$ when there were $$5$$ pairs of shoes left. How many pairs of shoes did the shop purchase initially? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | c3537d94f9474c1681dd753250a4e937 | 1 | short_answer | Peter went to watch a musical. At $$\rm 5.30$$ p.m., he was halfway through the musical. The musical ended at $$7.15$$ p.m. What time did the musical start? | [
"Overseas In-curriculum->Knowledge Point->Measurement->Time->Time Calculation",
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem"
] |
2023-07-07T00:00:00 | bf8d648694e046798009b3bcb8b11a51 | 1 | short_answer | There are some cars in the car park. 8 more cars enter the car park. Then 10 cars exit the car park. Now there are 30 cars in the car park. How many cars are there at the beginning? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | f0661ff980b543b2890c0b2cd9ed594d | 1 | short_answer | I am thinking of a number that when I multiply it by two and divide the result by four, then multiply the result of that by itself, gives me a number that when I subtract four and divide by ten, gives me six. What is the number that I originally thought of? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | 91f1dc30074b4cc5ba3de816f8ebe024 | 2 | short_answer | It needs $59$ liters of water to fill up a pool. The pipe can fill up to $$10$$ liters of water every day into the pool, but the pool leaks $$3$$ liters of water every night. Today, the pipe fills up $3$ liters of water into the pool and it is filled up for the first time. How many days have passed from the first day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | ea2b0754dbd44371b1caf18c22c52d19 | 0 | short_answer | Work out $$1234-566$$ ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 33baf7cac5884fbc952fe20bd5c8b056 | 1 | short_answer | A machine can produce $$27$$ toys in $$5$$ minutes. How many toys can it produce in $$20$$ minutes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 9921f066d3b9491bb6209aef0e315efb | 1 | short_answer | Amy visits the dentist once every $24$ days. Ginny visits the dentist every $36$ days. If they visited the dentist together today, how many days later will they visit the dentist together? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Extracting Common Factors from Whole Numbers"
] |
2023-07-07T00:00:00 | 2d3e8ce232944b0da4446730b18adc15 | 2 | short_answer | （AMC 2020 Question \#30） Writing one digit every second, you have half an hour to list as many of the counting numbers as you can, starting 1, 2, 3, \ldots{} . At the end of half an hour, what number have you just finished writing? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | c71b3187758541f2a9be1885e9788daf | 1 | short_answer | What is the difference between the smallest and largest of the following amounts? $$\dfrac{1}{2}$$ of $$30$$, $$\dfrac{1}{3}$$ of $$36$$, $$\dfrac{1}{4}$$ of $$40$$, $$\dfrac{1}{5}$$ of $$60$$, $$\dfrac{1}{6}$$ of $$96$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 2526a9251202448c82ca74dc1af18fd8 | 1 | short_answer | Kit played computer games for $225$ minutes. When he stopped gaming and decided to head to sleep, he checked the time and noticed that it was $11.20\text{p.m.}$ What time did he start playing computer games? Write your answer in the $12-$hour clock.~\uline{~~~~~~~~~~}~ | [
"Overseas In-curriculum->Knowledge Point->Measurement->Time->Time Calculation",
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 4b4550a7fb5a4da1879ab82345527afa | 1 | short_answer | There are $5$ blue, $8$ green, $9$ white and $2$ black marbles in a box. At least how many marbles must Darrell draw before he gets the first green one? | [
"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 | 63ccfd7c8f7948138140e37b2a8721c9 | 1 | short_answer | $$20$$ school teams took part in the West Zone Table Tennis Tournament. Each team was to play exactly $$1$$ match with another team. How many matches were played altogether? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | d325179a1a7c406b95abe95c9433bf65 | 0 | short_answer | A machine can produce $$27$$ toys in $$3$$ minutes. How many toys can it produce in $$1$$ minute? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 1a9163a8cb424cb9a9accd781412b79a | 2 | short_answer | A snail wants to climb out of a 20-metre well. It climbs up 6 metres during the day and slides down certain metres during the night. The snail climbs up only 2 metres out on the 7th day. How high does the snail slide down during the night? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 32e0c31f837f484dbc8307ce7ebbf9f6 | 1 | short_answer | On a vast grassland, lives $32$ rabbits. Rabbits eat grass and give birth to baby rabbits. Each year, there are $3$ times as many rabbits as last year. On the other hand, half of the rabbits\textquotesingle{} total population dies every year. How many rabbits will there be after $3$ years? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"
] |
2023-07-07T00:00:00 | e45c3400530944688f0b7c15612c3f65 | 1 | short_answer | Ivy\textquotesingle s house and Candy\textquotesingle s house are $$1200$$ meters apart. They wanted to meet with each other. Ivy left her own house first, and Candy left her own house after $$6$$ minutes. After another $$12$$ minutes, they met each other. Given that Ivy walked $$20$$ more meters per minute than Candy, find the walking speed of Candy. | [
"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 | 00b3826fde0d4426bbae01c933f41959 | 1 | short_answer | There are $$8$$ players participating in a Ping-Pong tournament using single round-robin rules, and each of the players records different number of wins. How many wins does the champion have? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"
] |
2023-07-07T00:00:00 | 7a85e45de1cf4eefac785ffc876e2419 | 1 | short_answer | In $$2$$ hours, Minah can make $$24$$ curry puffs. At this rate, how many hours will she take to make $$120$$ curry puffs? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 407e3d4abdd84948b11417cc857b3a6f | 1 | short_answer | A $$6$$ $$\rm mg$$ metal containing $$45 \%$$ nickel was combined with a $$14$$ $$\rm mg$$ metal containing $$60 \% $$ nickel. Find the percent concentration of nickel in the new metal. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] |
2023-07-07T00:00:00 | 17b260645d6a414ab42dd5105d17a7a0 | 1 | short_answer | Given that the sum of four positive integers is $$13$$ (the numbers can be the same), find the largest possible product of the four numbers. | [
"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 | 0b323f74ff2440bd99945e7df07c7d9e | 3 | short_answer | Edward is 8 years old. His mother is 32 years old. In how many years will his mother be 3 times as old as Edward?（⭐⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 9931681699674c94a55cbd91e9fef93d | 1 | short_answer | James draws a plan of his school using a scale of $$1\text{cm}$$ to $$6\text{m}$$. On the plan the playground is $$5\text{cm}$$ long. What is the real length of the playground? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Complex Ratio Problems"
] |
2023-07-07T00:00:00 | a3f71bfa7bda47abb06c88dc5fe9c667 | 2 | short_answer | A $$2$$-digit number has a remainder of $$1$$ when it is divided by $$3$$. It also has a remainder of $$1$$ when it is divided by $$5$$. What is the smallest possible $$2$$-digit number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 844dc49550ce457b94476fbbf9b26070 | 1 | short_answer | What is~$\dfrac{3}{5}$ of $35$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | f824d5ccf33349d2ab0f1608091dea39 | 2 | short_answer | Students from a school line up and form a square array, and there is a surplus of $11$ students. If one row and one column are added to form a larger square array, $12$ more students are needed. Find the number of students. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | 7fc9064a1aa5469aa93c3e1bbde4bbee | 3 | short_answer | A box of cookies cost $$$6$$. How many boxes could be bought with $$$250$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | dc7f0a68b9f24779bc4219332172235f | 1 | short_answer | What is the missing number in the following sum. $$4060800=4000000+\cdots \cdots +800$$ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Regrouping based on Place Value Principle"
] |
2023-07-07T00:00:00 | 82a289b59d824994b394d0497a34059a | 1 | short_answer | A group of students go to apple-picking. On average, each boy picks $30$ apples and each girl picks $20$ apples. The average number of apples picked by everyone in this groups is $26$. If there are $15$ boys, then how many girls are there in the group? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | ba3fa896136240449736cb46b7e3fc42 | 1 | short_answer | Amy bought a pen and a pencil, which costed her $4.5$ dollars. A pencil is $0.5$ dollars cheaper than a pen. What is the price of a pen? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 75141a0eda0b4ee188fda622dacab4d8 | 1 | short_answer | Tank A has $673$ ℓ of oil. If there is $56$ ℓ less oil in Tank A than in Tank B, how much oil does Tank B have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | e5322713de5247778392f797381187c3 | 1 | short_answer | A school bought $$12$$ volleyballs and basketballs for ＄$$340$$. Each basketball cost ＄$$30$$. Each volleyball cost ＄$$25$$. How many basketballs did the school buy? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 12650053179d4354abc37f8acdc2f5cc | 2 | short_answer | Mr Rich decided to share his wealth among his children. Richie as the oldest got $$\frac{1}{3}$$, Thrifty the second oldest got $$\frac{1}{2}$$ of what was left, Bounty got $$\frac{2}{5}$$ of what was left once Richie and Thrifty got their share. Archie got the rest. If Mr Rich shared £$15$ million pounds, how much did Archie get? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 78ccf674710b4fe69a75eac5a5e851fe | 1 | short_answer | The cost of $8$ identical books is £$32$. What is the cost of $12$ books? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 49f01b25ab6d4b69801d88a94adc488b | 1 | short_answer | Candies were sold in containers containing $3$ flavours: strawberry, chocolate and mint. The amount of mint candies to chocolate candies always stayed the same. The fraction of strawberry candies in $3$ different sized containers were $\frac{2}{5}$, $\frac{2}{7}$ and $\frac{2}{9}$. Given that the amount of mint candies always stayed the same as well and that the total mass of all $3$ containers is $1371\textasciitilde g$, determine the mass of all strawberry candies. | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 548479b1b79a4bb28ce823621c5abeeb | 1 | short_answer | Judy had $$36$$ pieces of candy. She gave $$\dfrac{3}{4}$$ of the candy to her friend, Lily. Then, she gave $$\dfrac{1}{3}$$ of the remaining part to her brother. How many pieces of candy does she have now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 033994c93a6b45b089e9faa4e06774ed | 2 | short_answer | Evaluate $$\frac{1}{2}+\frac{1}{3}+\frac{2}{3}+\frac{1}{4}+\frac{2}{4}+\frac{3}{4}+\frac{1}{5}+\frac{2}{5}+\frac{3}{5}+\frac{4}{5}+\ldots +\frac{1}{60}+\frac{2}{60}+\ldots +\frac{59}{60}$$. Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | fdb38dfc8f624402a53c64aee38c936c | 3 | short_answer | Roy and Dennis shared a sum of money totaling $$$340$$. After Roy spent~$\tfrac{2}{3}$~of his money and Dennis spent~$\tfrac{1}{4}$~of his money, Dennis had twice as much money left as Roy. Find the amount of money Dennis had in the end. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | ba33391702c54eddadac0a6dea3e8f20 | 1 | short_answer | Solve： $$5x+1=16$$ | [
"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 | e41fa665820a4926b055fb0c8e503a19 | 1 | short_answer | $$427 \div 7 =$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 5084bbc7b89c41b5bf2edb1303aac223 | 0 | short_answer | Mr Lee sold $$27$$ more curry puffs on Saturday than on Friday. He sold $$14$$ fewer curry puffs on Sunday than on Friday. If Mr Lee sold $$475$$ curry puffs in these $$3$$ days, how many curry puffs did he sell on Friday? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 6a7f195d4df34990a4361a1279619703 | 1 | short_answer | $$300$$ digits are used to print the page numbers of a book. What is the last page number of the book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence of Specified Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | 5c220b4fa8654c3a8555329850f8525d | 1 | short_answer | Calculate $675 \div 25$ | [
"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 | 29250105e9c04c48bd1439676ca2782d | 0 | short_answer | A school paid ＄$$235.60$$ for $$8$$ similar balls and $$6$$ similar hula hoops. Each ball cost ＄$$20.45$$. What is the cost of each hula hoop? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | 93cbd8cff1724a0288df495bf1bf1129 | 2 | short_answer | Find the smallest whole number such that the product of $$693$$ and the number is a perfect square. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"
] |
2023-07-07T00:00:00 | 2294a90b377245e5a243e024c10b9e33 | 1 | short_answer | Find the unit digit of $$13^{242}+17^{379}\times4^{2012}$$. | [
"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 | 52d042e76d354b68ac3284571d64fe18 | 1 | short_answer | Calculate: $-12 - 5 =$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | f92015fcf25b4f6b8a4c6c33740e86b0 | 1 | short_answer | Janice\textquotesingle s mother bought $$8$$ cartons of orange juice. Each carton contained $$3$$ ℓ of orange juice. After drinking $$9$$ ℓ of the juice, Janice\textquotesingle s mother wants to pour the remaining juice into container that has a volume of $$5$$ ℓ each. How many container does she need? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | efc1886d8b6e41288f275b25df4f1970 | 1 | short_answer | Find the value of $$A$$ in the following equation. $$2+\frac{1}{2+\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{A}}}}=\frac{64}{27}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 615a06562ee54cbf883a97926cfa289a | 3 | short_answer | Marry had $\frac{7}{5}$ as many stickers as Alexis.~Marry and Alexis each gave $20 \%$ of their stickers to Charlotte. As a result, Charlotte\textquotesingle s stickers increased by $80 \%$. If Mary had $20$ stickers more than Charlotte in the end, how many stickers did Alexis have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | d56e2d0f4d3c49c09a9d9d2fae148065 | 1 | short_answer | Vani wants to buy $3\dfrac{1}{2}\text{kg}$~of steak costing £$7.50$ a kilogram. She only has a £$20$ note. How much more money does she need to buy the steak? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Simple Multiplication Applications",
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Four Operations of Fractions and Decimals"
] |
2023-07-07T00:00:00 | 298f22aae19b448d8ed281fe1ffd1c6a | 1 | short_answer | Eddie was queuing for lunch. There were $$22$$ people in the queue. He was $${{12}^{\text{th}}}$$ in the queue. 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 | 73173ea4753941c1aebae06530689d79 | 1 | short_answer | Work out $498 + 349$ | [
"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 | f1a8a109f87844d5bb0f0d3f4dd4d789 | 2 | short_answer | A sports shop has 6 light bowling balls and 6 heavy bowling balls. The mass of a heavy bowling ball is twice that of a light bowling ball. The total mass of the 12 bowling balls is 65.7 kg. Find the mass of a light bowling ball to the nearest kg. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics"
] |
2023-07-07T00:00:00 | 866c8e678e0948b59e1d7291359716df | 1 | short_answer | Benson and Clive had a total of ＄$$705$$. Benson bought a calculator for ＄$$34$$. Clive bought a badminton racket for ＄$$63$$. They then had the same amount of money left. How much did Clive have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 099b78e49bc4404ba303b17fc521c8a1 | 1 | short_answer | $$6.5 + 2.55 =$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | a3b2b317382c413b950d13170728af7c | 0 | short_answer | If a number is read the same either from left to right or from right to left, such number is called a "palindromic number", such as $$1441$$，$$2222$$，$$2442$$，$$8998$$ and $$3553$$. Find the number of four-digit palindromic numbers. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 07cef45a5cd34546b160beb5d63ff929 | 1 | short_answer | Jenny's scores on her spelling tests are $8, 14, 11, 9, 12$ and $9$. What is her average? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly"
] |
2023-07-07T00:00:00 | d9fe69458a16475bb892b329f85a2176 | 1 | short_answer | The average of $A$ and $B$ is $50$. The average of $B$ and $C$ is $43$. The average of $A$ and $C$ is $45$. Find the average of $A$, $B$ and $C$. | [
"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 | 1c2eb2be878c46f9abd8fe0eebfe90e0 | 1 | short_answer | There are $42$ sweets in Container A and $4$ times as many sweets in Container B as Container A. Given that there are twice as many sweets in Container C as Container B, how many sweets are there in Container C? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 0463082fb7794b94ba6e248f5672f584 | 1 | short_answer | （$$2017$$ Anglo-Chinese School (Junior), Semestral Assessment $$1$$, Primary Three, Question \#$15$） Jay has $6$ times as many pens as Denise. They have $126$ pens altogether. How many pens does Denise have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | a81399939c8c430caa4f5477791e6872 | 1 | short_answer | Calculate $3192 \div 7$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 1f147f03ccef4ae3a50a01ccda70772f | 1 | short_answer | $$18 -- 4 \times ~2 + 3 =$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 0e1222f712bc4ffca972c05b2effd15b | 1 | short_answer | In a grocery store, $$5$$ chocolate bars cost $$ $1.26$$ each. Their total cost is the same as the total cost of $$6$$ identical cookies that are equally priced. If I had $$ $9.05$$ at first, and I bought $$4$$ such cookies, how much money would I have left? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 040686faef95411e8585542ead1f8966 | 1 | short_answer | In Think Sports Day, there were $$250$$ balls distributed to some children. Every $$3$$ boys shared one ball while every $$2$$ girls shared one ball. If there were $$650$$ children, how many of them were girls? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | d48e695fe4c940b2acce011d716fb7cb | 1 | short_answer | There were some students in Think Classroom. When the school bell rang, $$25$$ girls went outside to play hopscotch. The number of girls in the classroom became $$\frac{2}{3}$$ of the number of boys. After that, $$15$$ boys went to play soccer at the field. There is now an equal number of boys and girls inside Think Classroom. How many students were there in Think Classroom at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | a36e566f98e442f5842ab9407dee385e | 1 | short_answer | How many even three-digit numbers are there where the digits add up to 8? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | adcc0ea38c5c483abfaedf299c74cb3f | 1 | short_answer | Janet has some $$10$$-cent and $$50$$-cent coins in the ratio $$8:3$$. The total value of all the coins is ＄$$75.90$$. Find the total value of the $$50$$-cent coins Janet has. | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | d9c3ed810a164a26992ebd764b6a4339 | 1 | short_answer | What number goes in the box? $8\times11=\boxed{ \overset{ }{\overset{ }{ }}}\times9+34$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | b623a87ccea1499fb63634242cab4656 | 1 | short_answer | The temperature in Moscow at midday is $8^{\circ}\text{C}$. At midnight the temperature is $12^{\circ}\text{C}$~lower. What is the temperature at midnight? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
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