dataset_version
timestamp[s] | queId
stringlengths 32
32
| difficulty
stringclasses 5
values | qtype
stringclasses 1
value | problem
stringlengths 6
2.89k
| knowledge_point_routes
sequence |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | 0a765ef7e14c440981d6c2d7b04dabd7 | 0 | short_answer | Work out $$46\times37$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication in Vertical Form"
] |
2023-07-07T00:00:00 | a796ea09fb744741a25cd47d0f76b732 | 1 | short_answer | Calculate $31.6 \times 7$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 6fc0618e43e242b49bfdaeb256945ca5 | 1 | short_answer | The average of three numbers is $120$. What number must be added so that the average will become $110$? | [
"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 | 1cb1f7199ce14218a8ee265ccbe06c7e | 2 | short_answer | Jovan has twice as many marbles as Sean. Heman has~3~times as many marbles as Jovan. Jovan has~240~fewer marbles than Herman. How many marbles do they have altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 90966aea3ce94728843a0f98acc20314 | 1 | short_answer | If $$a=1$$, $$b=2$$, and $$c=3$$, then $$\overline{abc}=123$$. Find the value of $$m$$ according to this rule. $$\overline{14m}=8\times \overline{1m}-3$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | c16f42441097422a80a4fc1b82640502 | 1 | short_answer | A pile of hay can feed $$12$$ horses for $$15$$ days. For how long could the same pile of hay feed $$20$$ horses? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 34140a9862a3448881425579d24734b9 | 1 | short_answer | Calculate: $$5+9+13+\cdots +57+61+65$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | e68039658fe340f98db91346e8adc898 | 1 | short_answer | Find the value of the formula using the numbers given: ~$\text{T}=7+7x$, when~$x=-11$ | [
"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 | ad7cb903a931476bafc590cff0bdcd26 | 1 | short_answer | $$10.25+9.2-7$$ = | [
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Decimals->Subtraction of Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | f01af5cab78a49d192ad10c608f1a18a | 1 | short_answer | $$301+303+305-9=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | b7218901ffc24d00b3c7f10efa784bfe | 1 | short_answer | Find the greatest common factor of $6$, $9$ and $12$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 99005a2c071040f195c27f37d05344df | 1 | short_answer | The total mass of John and Andy is $105$kg. The total mass of Charles and John is $67$ kg. If Andy\textquotesingle s mass is $3$ times Charlie\textquotesingle s mass, find the total mass of the three boys. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight"
] |
2023-07-07T00:00:00 | 51f1eccaaa5844a897f213dcf2f3e11a | 2 | short_answer | If 4 construction companies can build a $$900\rm m$$ expressway in $$5$$ days, how many meters of expressway will $1$ construction company be able to build in one day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Simple Work Word Problems"
] |
2023-07-07T00:00:00 | da5873ba4dcd43299bae1be0e6fd21e6 | 1 | short_answer | Each set of $5$ individual shoes was sold at $ $78$. Each pair of socks was sold at $ $12$. A five-legged alien wanted to purchase some socks and shoes for himself and his $5$ brothers, such that there is a sock and a shoe for each of their legs. How much would the items cost him in total? $ $$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts->Calculating Profit from Cost and Price"
] |
2023-07-07T00:00:00 | 2c3ac058e2204cb087e20661a4ad713a | 2 | short_answer | What is the MAD of the following data set? $3$, $2$, $3$, $5$, $2$, $4$, $4$, $1$ | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 2dafccaefb9c4371a9aa0d6a0927b08b | 3 | short_answer | How many different ways are there to divide $13$ oranges to $3$ kids? (Someone might not get any orange.) | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 5f22389e9a6a48338414d0443e5b1107 | 1 | short_answer | Bud, Pip and Tom have 50 sweets between them. Bud has three times as many sweets as Pip. Tom has twice as many sweets as Bud. How many sweets does Tom have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 43c595f7d6ef46c0be98290684686cf6 | 2 | short_answer | Mr Turner\textquotesingle s combination lock has $$4$$ digits. When he changes the digit in the ones place to the first digit of the combination lock, he notices that the new $$4$$-digit number is greater than the original number by $$5877$$. What is the original combination lock number? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | b791fcccc3654f3db33c3a0ec7363553 | 3 | short_answer | $$David\textquotesingle s$$ cookies were cost thrice as much as $$Jeremy\textquotesingle s$$ cookies. $$David$$ had only $$$0.50$$ cookies while $$Jeremy$$ had~$\tfrac{3}{5}$~as many $$$0.50$$ cookies as $$$0.10$$ cookies. There were $$60$$ fewer $$$0.10$$ cookies than $$$0.50$$ cookies. How much were $$Jeremy\textquotesingle s$$ cookies worth? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis->Basic Type->Non-typical Types"
] |
2023-07-07T00:00:00 | 360ae3551215452fb3d04ffde3f78d2c | 1 | short_answer | Candy and Candice were asked to choose between $6$, $12$, $35$, $175$, $245$ and $300$. Candy chose $2$ cards and Candice chose $3$ cards. The product of their own chosen cards were equal. Which number was not picked? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"
] |
2023-07-07T00:00:00 | 7e7e0d58634e4a7b912975d7485e5197 | 1 | short_answer | Helga arranges all her books on to shelves. Each shelf holds $7$ books and there are $4$ books left over. Underline the value below that could be the total number of books Helga owns. $49$~ ~ $80$~ ~ $32$~ ~ $66$~ ~ $8$~ ~ $58$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | f5d42ab6bc434fe48dcbb4d9b9e637ea | 1 | short_answer | Some trees are planted along a road at regular intervals apart. The distance between the first and fifth tree is $$20$$ $$\text{m}$$. If the whole road is $$200$$ $$\text{m}$$ long, how many trees are there altogther? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | d8ec2b2972f74f84955c8f0a68f3ad73 | 1 | short_answer | A tank is empty at first. It takes $$12$$ minutes to fill up the tank completely with Tap $$A$$ alone. It takes $$8$$ minutes to fill up the tank completely with Tap $$B$$ alone. Starting with an empty tank, how long does it take for both taps together to fill half of the tank? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Pool Filling and Draining Word Problems"
] |
2023-07-07T00:00:00 | 4a6ce2ef677140aebc108d44cab3b1ca | 1 | short_answer | Jason is doing his homework. $$(36\times 21)\div (6\times 7)$$ = $$36\times 21\div 6\times 7$$ = $$36\div 6\times 21\times 7$$ = $$6\times 7\times 21$$ = $882$ Is his answer correct? If not, please CIRCLE out his mistake and write out the correct workings. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"
] |
2023-07-07T00:00:00 | 6cab8d77da3e4447922fdcd2d2b21d24 | 0 | short_answer | Work out $$4392\div6$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division in Vertical Form"
] |
2023-07-07T00:00:00 | e40ae4418f8f44cebd8f9882aa3ca6b1 | 1 | short_answer | A box contains $$48$$ pieces of fruit. Five-eighths of them are apples and the rest of them are pears. How many pears are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | cf2c548f0cae420c9a89c81143562fc1 | 1 | short_answer | Students in the second grade are preparing for a competition. All boys line up and exactly form a square array. $17$ girls line up outside the square array, adding a row and a column to the outermost layer of the array, and form a larger square array with the boys. Find the total number of boys in this square array. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | 57725168bfb44ed79b6561aad62288cd | 1 | short_answer | Jane is $$12$$ years old. Her cousin is twice her age. How old is her cousin in $$8$$ years\textquotesingle{} time? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems"
] |
2023-07-07T00:00:00 | 35c4e495a24542e1b20ed3ff479cced6 | 1 | short_answer | $$148+73=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | c4a1d3b65f70441c8f162b68482444ed | 0 | short_answer | Ann was the $$8$$th person in a queue. David was the second last person in the same queue. There were $$3$$ people standing between Ann and David. How many people were there in the queue? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"
] |
2023-07-07T00:00:00 | d744cc75e3ab4185ad0c2604e81b69c3 | 1 | short_answer | In a book, the digit \textquotesingle$8$\textquotesingle~appeared $22$ times, including the last page. How many pages are there in this book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | c6bfa3d0de504912b6200f3d457f6a73 | 1 | short_answer | The sum of $3$ numbers is $555$. The first number is $157$. The second number is $98$ less than the first number. What is the third number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"
] |
2023-07-07T00:00:00 | 995d99072a7246aa89a178ecfa7b3be9 | 1 | short_answer | \textbf{$$n$$~}is the number where $$n:8=9:12$$. \textbf{$$n=$$}~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Proportional Equations"
] |
2023-07-07T00:00:00 | 35f3ac45fb9a416cab9f6a6f3d80fc88 | 0 | short_answer | What is $$-7$$ added to $$-3$$? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | 9138c2779a554688a69ae241821b9044 | 1 | short_answer | $3280\div1000$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | 6ba693d3debc40ffbe091f4a2e915e1a | 1 | short_answer | There are $$80$$ blue balls, $$40$$ red balls, and $$30$$ white balls of identical size in a bag. Now let\textquotesingle s pick balls without observing them. To make sure we get $$29$$ balls of one color, $$28$$ balls of another color, and $$10$$ balls of the last color, how many balls should we pick at least? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | c1a30ce92e014b75b30b4b0d41e23b10 | 1 | short_answer | A snail wants to climb out of a $$9-$$metre burrow. It climbs up $$3$$ metres during the day and slides down $$1$$ metre at night. Exactly on which day can the snail climb out? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 91aac3f6cd314824a5ff7ae8d57ba16f | 1 | short_answer | A class has 44 students participating in competitions, 30 of whom participate in a maths competition and 26 in an art competition. How many students participate in both maths and art competitions? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | 64953fb1208e4686b70662072858e299 | 2 | short_answer | Stephen puts＄$$800$$ in a bank that earns him a simple interest of $$8 \%$$ per annum. What is the amount of simple interest earned in $$3$$ years? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 0222cefe72d14af08beade5cd8d39234 | 1 | short_answer | Lucy sleeps $8$ hours today, and she sleeps $2$ fewer hours than Mary. How many hours does Mary sleep? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 7fccc27dfac64e26ac8313027c062718 | 1 | short_answer | Solve the equation. $$6\times 150 \%+4x=19$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | d4270b64c9444e9bae6186f03a8dd3cf | 1 | short_answer | The highest mountain in England has a height of $978$ metres. The highest mountain in the world has a height of $8848$ metres. Work out the difference between these two heights. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Word Problems Involving Comparing and Ordering"
] |
2023-07-07T00:00:00 | c159c9b51b5641cb9fe4bd410317a6b6 | 1 | short_answer | Eve is thinking of a two-digit number and gives the following clues: My number is: • two less than a multiple of $$3$$ • a prime number • two more than an multiple of $$5$$ • less than $$50$$ What is Eve's number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples",
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Prime Factorization (Equations)"
] |
2023-07-07T00:00:00 | 873d86ac5c8b42ebb89adf32077600aa | 1 | short_answer | Alicia, Beth and Casey had $ $900$ altogether at first. Alicia spent $$\frac{1}{2}$$ of her money, Beth spent $$ $60$$ and Casey spent $$3$$ times as much money as Alicia did. They all had the same amount of money left. How much money did Alicia have at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 1fef03e615784d6ab50b1a8664c3bed8 | 1 | short_answer | Given that $5!$ means $5\times4\times3\times2\times1$, find the last digit of $2014!$. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 2234f3644e4744e1abe7c224874b8458 | 0 | short_answer | Find $x$: $$2(x+3)=30$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | ba39e5d277a84ab58e881af5d3bc8aa5 | 1 | short_answer | How many $$0$$s are there at the end of the product $$2\times2\times3\times8\times5\times5\times5$$?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"
] |
2023-07-07T00:00:00 | 20985347da3c477badaed88276511692 | 0 | short_answer | $0.64 \times 10 =$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 06b709845181421a902cea1ac8c94213 | 1 | short_answer | Complete this calculation. $$\frac{6}{20}= \frac{30}{\underline{\textasciitilde\textasciitilde\textasciitilde\textasciitilde}}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions"
] |
2023-07-07T00:00:00 | 788387594b6e4c5eba7e277ec7c07b6e | 1 | short_answer | （Maths Olympiad 《Working Backwards》 Pr$$4$$\&$$5$$ Question \#$$6$$） A number is added to $$6$$. The sum is then multiplied by $$3$$.The product is divided by $$8$$. $$8$$ is then subtracted from the quotient. The answer is $$1$$. Find the number. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | 1406508f604a4d8b99426de2592c46fd | 1 | short_answer | I think of a number and multiply it by $$10$$ to get a new number. The sum of the original number and the new number is $$253$$. What is the original number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | ac96959c816f40b994c3095a95678430 | 1 | short_answer | A boy ate $$100$$ cookies in five days. Each day he ate $$6$$ more than the day before. How many cookies did he eat on the first day? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | c8ac5b12c5ef4250bf78a994cef11a8c | 0 | short_answer | Elaine had $$380$$ seashells. She gave $$35$$ seashells to her sister and $$23$$ seashells to her friend. Then she picked another $$70$$ seashells. If she put all the seashells into $$8$$ boxes equally, how many seashells would she put into each box?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | ef204ac96744497b958e9e43d91d62c7 | 1 | short_answer | Agnes is thinkingof a number which is one more than a multiple of $$5$$ one less than a prime number a multiple of $$9$$ less than $$90$$ What number is Agnes thinking of? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Numbers->Understanding Numbers and Digits"
] |
2023-07-07T00:00:00 | 1cc6abdd4aa14ca3ba0c0f221bc83033 | 2 | short_answer | Cayden, Sicheng and Yixuan are working on some math problems. Cayden completed $$6$$ more questions than Sicheng. Yixuan completed $$2$$ times as many questions as Cayden, and $$22$$ more questions than Sicheng. How many questions did the three students complete in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 1f1415e1ba0e473686320bc1228072ad | 1 | short_answer | Work out $18 \%$ of £$250$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | fbb644a513c74c369072437e70b25c4b | 0 | short_answer | $$56-4(20-6x)=48$$. $x=$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 5d03707100c24bec944429cac593007c | 0 | short_answer | In how many ways can four couples be lined up in a row if the men and women want to stand alternately? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | e93a2e8d34fe4c5d88042e9cb1dc1359 | 1 | short_answer | How many ways can you arrange the letters of the word HAPPY? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 84593b3ba13b4e8a80ff8451f501055f | 1 | short_answer | A dictionary has $480$ pages. Numbering from page $1$ to $480$, how many times is the digit $6$ printed? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | f447d86af6a24aefb4ec7afe8f748ab6 | 1 | short_answer | At Ali's shop, a multipack of 8 toilet rolls costs £$2.40$. At Mya's shop, the cost per toilet roll is twice as much. How much is a pack of $3$ toilet rolls at Mya's shop? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | e041fe632ffb4b6c9323daa6940df30a | 1 | short_answer | Justin read $$72$$ more pages of a book than Crystal. The pages Crystal read was twice the pages Ashley read, and the pages Justin read was $10$ times the pages Ashley read. How many pages did they read in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 6a2c78cfdb9a4d7fb383272b52cd59ee | 1 | short_answer | $$\frac{2}{5}$$ of the children in a class are boys. There are $$12$$ girls in the class. How many boys are there? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | c872f5bf2c784f41bccb9e92a97425cc | 1 | short_answer | How many factors does $96$ have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"
] |
2023-07-07T00:00:00 | c8a3ce14a35a4261ab029e2433bd676a | 1 | short_answer | Peter is standing directly in front of John in a line. There are 9 people in front of Peter and 10 people behind John. How many people are there altogether in the line? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of Two Characters in a Line"
] |
2023-07-07T00:00:00 | 64993852492147cc8482c078cd34b38e | 1 | short_answer | What is $$60 \%$$ of $$10 \%$$ of~$ $900$? Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 89b6ad1ba96b49799186cb97be8ced41 | 0 | short_answer | Richard catches a plane in England at $12$ noon. The flight to St Petersburg takes $4$ hours. What time will it be in St Petersburg when he lands there? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | 1beeabbc07d5419182360e392e6e8167 | 1 | short_answer | You deposit some money into an account which earns $9 \%$ annual interest. If you can withdraw $870$ dollars form this account after 5 years, how much you need to deposit now? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | f53340cd1b0242cc909e54dbf5f9c740 | 0 | short_answer | In the following, all the different letters stand for different digits. Find the two-digit $$NO$$. | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles"
] |
2023-07-07T00:00:00 | d83742ad1ef8454dbe6712dd724e0f28 | 1 | short_answer | $$50-48+46-44+42-40+38-36+34-32$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | d03ade3a4dd74e8080364bf4014a629f | 1 | short_answer | There are $$4$$ black socks, $$4$$ grey socks and $$4$$ red socks in a drawer. Cindy is supposed to get her father a pair of socks but the light in the room goes off. How many socks must she get from the drawer so that there is definitely at least one pair of the same colour? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | fddfd48467ab4e0fb6a8660a9290dacd | 1 | short_answer | How many grams are in $2.5\text{kg}$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight"
] |
2023-07-07T00:00:00 | 9080a0bc912a4dbd8b2d995a6f90476f | 1 | short_answer | Bud thinks of a number. When the number is divided by $$2$$, the remainder is $$1$$. When the number is divided by $$3$$, the remainder is $$2$$. When the number is divided by $$4$$, the remainder is $$3$$. When the number is divided by $$5$$, the remainder is $$4$$. What is the smallest number meeting the requirements? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 662c78fcaea44e82bcb9bf7c3df9c9b4 | 1 | short_answer | In the classroom, each boy took $4$ sweets from the teacher and each girl took $12$ sweets from the teacher. Given that $\frac{3}{8}$ of the children in the classroom were boys, and a total of $360$ sweets were given out, how many girls were in the classroom?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | a5de38fa67a44419bc522d068fd7f25f | 1 | short_answer | $5 \text{cm}$~on a map represents $1 \text{km}$~on the ground. What is the distance on the ground of two villages which are $12 \text{cm}$~apart on the map? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale"
] |
2023-07-07T00:00:00 | 819144d05ae94a409b2ad0fa501b330e | 0 | short_answer | $$2\div0.1$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
2023-07-07T00:00:00 | 19e25948a6f64404bdc6be96b3c341cf | 1 | short_answer | Find the value of $(\frac{1}{2}-\frac{1}{50})\times(\frac{1}{3}-\frac{1}{49})\times(\frac{1}{4}-\frac{1}{48})\times(\frac{1}{5}-\frac{1}{47})\times\cdots\times(\frac{1}{49}-\frac{1}{3})\times(\frac{1}{50}-\frac{1}{2})$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 0e5f8af3ee36434c8fc6f0d54e0b0332 | 3 | short_answer | A number gives a remainder of $$5$$ when divided by $$7$$, a remainder of $$6$$ when divided by $$8$$, and a remainder of $$6$$ when divided by $$10$$. If the sum of the quotients of the number dividing $$6$$, dividing $$7$$ and dividing $$8$$ is $265$, what is the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 8162588281f2442aaf05ae898f61facb | 1 | short_answer | Jasmin can ride a bike at a constant speed of $7.2$ kilometers per hour. How many meters can she ride in $24$ seconds? $ $ $ $ $ $ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 69e401d76eff4dc0a2cbc3608563a312 | 1 | short_answer | There are three rabbits, Jack, Jimmy, and Tommy, talking about the number of carrots they ate today. Jimmy says: "I ate $$7$$ more carrots than Jack." Tommy says: "The carrots I ate are $3$ times the carrots Jimmy ate." Jack says: "We ate a total of $$43$$ carrots." How many carrots did Tommy eat? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | 3d8744d18dd54cbea1b1412a084ed5ef | 0 | short_answer | Pip says: "A positive integer which is not a prime number is called a composite number." Is Pip correct? Explain your answer carefully. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | 0ecf6bcd64b5409797eb1c22fd967682 | 1 | short_answer | The eighth-grade class at Lincoln Middle School has $$93$$ students. Each student takes a maths class or a foreign language class or both. There are $$70$$ eighth-graders taking a maths class, and there are $$54$$ eighth-graders taking a foreign language class. How many eighth graders take only a maths class and not a foreign language class? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | fcaab3458b0540ffaf17a8b8e46d47e3 | 1 | short_answer | Calculate: $$1\frac{1}{2}\times 1\frac{1}{3}\times 1\frac{1}{4}\times 1\frac{1}{5}\times 1\frac{1}{6}\times 1\frac{1}{7}\times 1\frac{1}{8}\times 1\frac{1}{9}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Using Common Factors to Simplify Fractions"
] |
2023-07-07T00:00:00 | c0b29d7381404f04ba70d03ba52e2056 | 1 | short_answer | Solve the following equations: $$ \left(\frac{1}{3}-25 \%\right)x=36$$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 5acf29084a144a8c9e6e54ea27130ca2 | 1 | short_answer | How many possible ways are there to split $$12$$ identical balloons into $$4$$ groups with each group containing a different number of balloons? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | fc12020bb86948df82cb6bfbc58da724 | 2 | short_answer | A number is a palindrome if its digits are the same when written forward or backward. For example, the numbers 7, 11111, and 203302 are palindromes. What is the smallest number that can be added 40309 to create a palindrome?~（⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 97f9b3cd0d1f4ef49d372ccb5e9623ef | 1 | short_answer | Kasia has 42 sweets. She keeps $$13$$ for herself and shares the rest equally between her two friends Maya and Lucie. Lucie then gives $$\dfrac{2}{7}$$ of her sweets to Joan. How many sweets does Lucie keep? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 8f11aa1d0d264d7fbdcc09d8264a8c74 | 2 | short_answer | Students from Think Primary School are arranged in a square array with equal row spacing and column spacing on the playground. The outermost layer of the array is full of boys, and the adjacent inner layer is full of girls, then boys, then girls and so on until the innermost layer is reached. If there are $52$ more boys than girls in total, find the total number of students. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | 36cde50d7411407280da3e197b3728f2 | 1 | short_answer | Solve the equation below. $$3+2(9-x)=4(x-5)+5$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | ff1dd3113eea4badb05fc22604f4f410 | 0 | short_answer | Granddad spends one quarter of his weekly pension on a Friday night out, and one third of what remains on a Saturday night. What fraction of his weekend pension is left for him to spend during the rest of the week? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages"
] |
2023-07-07T00:00:00 | 0c7a535a8f1e4491b32b1e1b1639b03a | 1 | short_answer | Mr Nelson is changing the water in his fish tank. If he uses a $$5$$-litre pail, $$4$$ litres of water will overflow. If he uses a $$3$$-litre pail, he needs another $$4$$ more pails of water. How many litres of water are needed to fill the fish tank? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Distribution Problems->Basic Distribution Problems"
] |
2023-07-07T00:00:00 | 0239fb4bde9f47c69180ca8669502d62 | 1 | short_answer | $$42768\div120$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Division of Decimals"
] |
2023-07-07T00:00:00 | 6326923a95f047bdabd68344659c4d65 | 1 | short_answer | There were $20$ people on a bus. The ratio of the number of adults to the number of children was $1:4$. How many adults were there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference",
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | e7cedcf4f50346fda3609ffc82271bcb | 2 | short_answer | In a shop, there are $$3$$ different types of school bags and $$4$$ different types of pencil boxes. How many different combinations does George have if he needs only one school bag and one pencil box? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 8e60fa08b0204229a54c896f7f2968fa | 3 | short_answer | The ratio of number of apples to number of pears in a box was $$3 : 4$$. When $$36$$ pears were replaced by $$36$$ apples, the number of apples became $1\frac{1}{2}$ of number of pears. How many apples were there at first?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Figures->Change of Quantity"
] |
2023-07-07T00:00:00 | b7159096815a4a038b3ffdc419ce649d | 1 | short_answer | In the decimal part of $$0.\dot{6}12904\overset{\centerdot }{\mathop{3}} ,$$, what is the sum of the first $212$ digits? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | 00fd88a6512946ba898e3274c1c81239 | 1 | short_answer | Soldiers in an army lined up in a square array, and a total of $31$ soldiers from another team joined their array, which added exactly one row and one column to the array. Find the total number of soldiers in the array now. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | ca97262fc9e040ea9a7f04b576f910a7 | 1 | short_answer | There are $$30$$ ginkgo trees planted in the school and the workers plans to plant a willow tree between every $$2$$ ginkgo trees. How many willow trees need to be planted? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems"
] |
2023-07-07T00:00:00 | 1aa4173baac54897a1633d0cb7b950ea | 0 | short_answer | What is $$36 \%$$ of $$50$$? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | c54762ddbeef45b193a20da66e6829f5 | 2 | short_answer | The product of $$n$$ whole numbers $$1\times2\times3\times4 \times5\times \cdots\times (n - 1)\times n$$ has twenty eight consecutive zeros. Find the largest value of $$n$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization"
] |
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.