dataset_version
timestamp[s] | queId
stringlengths 32
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 | fad26d9436534871b7a08dd833fbbf68 | 1 | short_answer | Write down the next number in this sequence $7, 14, 28, 56,\cdots \cdots $. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Geometric Sequences->Whole-number Geometric Sequences"
] |
2023-07-07T00:00:00 | 814dfc7a21bc47f6afecf3149a685506 | 2 | short_answer | \textbf{Challenge}: Six consecutive even numbers have a sum of $$510$$. What is the difference between the mean and the median of the numbers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | ed79c0ee5e45459ca9d0eef32c921bcc | 1 | short_answer | $31-30+29-28+\cdots+5-4+3-2+1=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | 952275a830de41e986a33a873accdb47 | 1 | short_answer | $385\div7$ | [
"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 | 28db2d3d5a60452a9e31b2965f649f7d | 2 | short_answer | How many consecutive zeros, beginning from the ones digit, are there in $$1 \times 2 \times3 \times4\times5\times \cdots 49\times50$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders ",
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization->Applying Prime Factorization->The Number of Zeros at the end of a Product"
] |
2023-07-07T00:00:00 | 01993ccb07d9483683f5755975ca0a3a | 2 | short_answer | John wrote a sequence of numbers, starting from $3$ all the way to the number $47$. The digit "$7$" in $47$ is the~\uline{~~~~~~~~~~}~digit he wrote. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | c71ea8f69b6c45d38f496733e04f53c0 | 2 | short_answer | Helen and Oliver are playing games. The loser has to give the winner $$1$$ card each round. Originally, Helen had $$18$$ cards and Oliver had $$22$$ cards. After several rounds, Helen has $$10$$ more cards than Oliver. How many cards does Helen have now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 78dd9ae80fbc4599b9a1de7b271c3242 | 1 | short_answer | Tim has $3$ cards, $$A, B, C$$, each with a number written on it. The value of the number on card $$A$$ is twice that of card $$B$$. The value of the number on card $$B$$ is twice that of card $$C$$. If the value of card $A$ is $40$, what is the total value of all $3$ numbers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples"
] |
2023-07-07T00:00:00 | 2a2937f5b7644f15afc477aa03c1c930 | 1 | short_answer | Kate made $$250\text{g}$$ of sugar solution with a concentration of $$65 \%$$ by mixing some sugar and water. How much sugar did she use (in grams)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | f18ab428f55e4e0181b741b70951b391 | 1 | short_answer | I was climbing a vertical cliff face. I started $12$ metres above the ground and climbed up $23$ metres, then down $31$ metres and finally up again $17$ metres. How high was I then above the ground? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | e686a0dd4b2744f6bfffc71fb37c57ec | 1 | short_answer | $94 \times 38 =$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 09b505251b1a41e4bcb506573632dfd0 | 2 | short_answer | Let $$N=5^{100}$$. How many digits does $$N$$ have? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering"
] |
2023-07-07T00:00:00 | 25b3374bcbaf4146b57baab9709569a8 | 1 | short_answer | $25 \times 71$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | cd13264eaaab461380200e36148f3029 | 1 | short_answer | There was $$448\text{g}$$ more mangoes than strawberries. After $$900\text{g}$$ of mangoes were given away, the mass of strawberries was twice as much as the mass of mangoes. What was the mass of strawberries at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | 59db59b0e0a842ca9b1e81136fe98f84 | 1 | short_answer | The sum of $$5$$ consecutive numbers is $$40$$. Find the value of the smallest number. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"
] |
2023-07-07T00:00:00 | 057fbde681f548c7a8497fef0220ea57 | 1 | short_answer | I think of a number, multiply it by $$3$$ and then subtract $$8$$ and the result is $$4$$. What was the number I thought of? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 6345c9979983478692f42a218f423f1a | 1 | short_answer | Among the natural numbers from $1$ to $99$, there are $25$ prime numbers and how many composite numbers? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | a295b79b82d040ba90888d02ac50c7b7 | 3 | short_answer | A year is called a Blackjack year if the sum of its digits is 21. For example, 1983 is a Blackjack year since 1+9+8+3=21. How many Blackjack years are there between 1900 and 2000? （⭐⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 96b01291e9d14c7c96848c68852976a8 | 0 | short_answer | $2\times13\times3.5$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Extracting Common Factors from Decimals"
] |
2023-07-07T00:00:00 | 2069f2cb20514f5e86df254f2165bc03 | 1 | short_answer | In each of the following $5$-digit numbers: $10368$, $49681$, $84019$, $60984$, each digit is selected, without repetition, from $\left {0,1,3,4,6,8,9\right }$. There are more than $1500$ such numbers. Let $M$ and $N$ be such $5$-digit numbers and both $M$ and $N$ are multiples of $9$. Find the largest possible value of $$\frac{M-N}{9}$$. | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 6b83b3fc0cf6400a82301aaa18e28565 | 1 | short_answer | Victoria has $$33$$ sweets. She gives $$8$$ of them away. How many sweets does she have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 3814b49678af4c93bb25cc8fb167d647 | 0 | short_answer | In an arithmetic sequence, the~\textbf{fourth}~number is $39$ and the~\textbf{twelfth}~number is is $57$. What is the first term in this sequence? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 0cdc1772d765463a83d6d817314f35cb | 1 | short_answer | What is the largest whole number that you can make with these digits? $$1\textasciitilde\textasciitilde\textasciitilde\textasciitilde3\textasciitilde\textasciitilde\textasciitilde\textasciitilde5\textasciitilde\textasciitilde\textasciitilde\textasciitilde2$$ | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value in Enumeration Problems"
] |
2023-07-07T00:00:00 | e5d4d19b2a0b404d86003d303b4bd386 | 1 | short_answer | Write in digits the number "four milion four hundred and four" | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers"
] |
2023-07-07T00:00:00 | 2f4cada72bf546d2845330b0771d17c9 | 1 | short_answer | Amy mixes $$30$$ grams of a $$30 \%$$ salt solution and $$20$$ grams of a $$20 \%$$ salt solution together. How many grams of water should she add to the mixture to make it a $$10 \% $$ solution? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Finding and Making Use of Invariants"
] |
2023-07-07T00:00:00 | 58710cbbe23c42eca9ad3e2a797617c4 | 1 | short_answer | When Victoria was working on an addition problem, she saw one of the addends $$450$$ as $$540$$, and the resulting sum was $$987$$. What should the correct sum be? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Correcting the Careless Mistakes"
] |
2023-07-07T00:00:00 | a72010a49704494c91001e683893ccc5 | 1 | short_answer | It is known that the integer in each box below is the same. $$□\times □+□=380$$ What is the integer? | [
"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 | ed6d6de30c0a478ab65c8423f336ce88 | 1 | short_answer | Johnson and Vicky are having a $$3000$$-metre race. Johnson can run $$600$$ m/min while Vicky can run $$250$$ m/min. Johnson can finish the race~\uline{~~~~~~~~~~}~minutes earlier than Vicky.\hspace{0pt} | [
"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 | 5a5711bd536c40dd88759a0c885cbbdf | 1 | short_answer | There are $$80$$ blue balls, $$40$$ red balls and $$30$$ white balls of identical shape 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 catch at least? | [
"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 | 0533c1ce2f634bc79e510f81aa3623bc | 2 | short_answer | A deck of $$52$$ cards have four different patterns: hearts, spades, diamonds and clubs. Each has $$13$$ numbers (From $$1$$ to $$13$$) How many cards must you draw so that at least $$3$$ cards have the same number? | [
"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 | f13a082b45f944e2a679050f7cab968c | 1 | short_answer | A prime number has exactly $2$ factors: itself and $1$ The numbers from $1$ to $20$ inclusive are written on $20$ cards. Write down the proportion of all the cards that have a prime nuniber written on them, giving your answer as a decimal. | [
"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 | 1e7ec51916d44aea846598bf1fabbce4 | 1 | short_answer | What number is half way between $$3.2$$ and $$5.6$$? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly"
] |
2023-07-07T00:00:00 | cd7eb0808ff5495d92aa81f731c5f0a9 | 0 | short_answer | \textbf{$$n$$}~is $$12$$ less than $$7$$. \textbf{$$n=$$}~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | 216ce3bfa9344644a2c44241a09784d3 | 2 | short_answer | The \textbf{mean} of the following eight numbers is $$8$$. Find the missing number. $$12$$~ $$4$$~ $$6$$~ $$4$$~ $$2$$~ $$9$$~\uline{~~~~~~~~~~}~$$7$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication"
] |
2023-07-07T00:00:00 | 050789f6f9e949ee9482ca9c43230bc9 | 2 | short_answer | There are $2$ bottles, Bottle $A$ and Bottle $B$. Bottle $A$ has $5$ litres of a solution with $10 \%$ lime concentration. Bottle $B$ has $3$ litres of a solution with $20 \%$ lime concentration. An equal volume of lime solution was removed from each bottle and transferred into the other bottle. After the transfer, the concentration of the lime solution became the same in both bottles. How much volume (in litres) of lime solution was transferred from each container? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | 3a777a84d1174b55af384cb43e211812 | 1 | short_answer | The sum of the all the whole numbers from $$1$$ to $$50$$ inclusive is $$1275$$. Work out the sum of the whole numbers from $$2$$ to $$51$$ inclusive. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 4de8d3bd10bb44b382de57b1cba1fb5f | 1 | short_answer | There are eight students line up in a row. If C wants to stand in the middle of A and B (not necessarily next to each other), D and E want to be next to each other, F and G also want to be next to each other, how many ways are there to arrange them? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 31df8f23c61440d0a0f22ef9a6d1d9f1 | 1 | short_answer | Each item below has several types with different prices: Notebook: $$$5$$, $$$6$$, $$$8$$ Calendar: $$$7$$, $$$9$$ If you want to buy one notebook and one calendar, then there are~\uline{~~~~~~~~~~}~combinations that can lead to different total prices. | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration"
] |
2023-07-07T00:00:00 | b0463272ddb246178e49ce0075bfc9a7 | 0 | short_answer | Calculate $546-287$ | [
"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 | 661ce7b23d5040428b44b729610f90df | 1 | short_answer | Teacher Ying is arranging the tables in row so that the students can take the exam. Each row can only fit $$5$$ tables. The class has $$31$$ students. What is the least number of row does Teacher Ying need to fit all the tables for the students? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 0031ea04d15446af809c52112342ff37 | 1 | short_answer | Here is an expression: $123+1231+12312+123123+\cdots+\underbrace{123123\cdots123}_{{123 123s}}$ What is the hundreds digit of the result of the above expression? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases"
] |
2023-07-07T00:00:00 | f39a2ffc63b2451faaf10086c439a64c | 1 | short_answer | Harry had a painting that he wanted to turn into lego of the same proportion. The ratio of the length and the breadth of the painting is $5:2$. Given that the length of the painting is $90\textasciitilde cm$ and the length of the lego has to be $70.5\textasciitilde cm$ smaller, determine the maximum size of the breadth of the lego. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | c85383c567de4d2c87d36c00bdee31a8 | 1 | short_answer | Zoey had a 50-cent coin, a 20-cent coin, a 10-cent coin, and a 5-cent coin. After she lost one coin, she found that she had twice as much as her brother. What coin did she lose? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers"
] |
2023-07-07T00:00:00 | e1f6ce757e814cc98dd8bb318f3ce87e | 1 | short_answer | A group has 25 people, and each person likes at least one of bananas and apples. 18 people like bananas, 12 people like apples. How many people like both bananas and apples? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Two Sets"
] |
2023-07-07T00:00:00 | 6ffd313df5c84cbea917dab85c602eb9 | 1 | short_answer | In a $$200$$ metre race, Kane was $$12.5\text{m}$$ behind when Jaan reached the finish line. Jaan\textquotesingle s speed was $$8\text{m}/\text{s}$$. Find Kane\textquotesingle s speed. | [
"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 | b2195314d6904c97819e32043f734644 | 1 | short_answer | Bob wants to buy a cake for~£5.50 and a bottle of milk for £3.75. With a 110p voucher, how much does he actually have to pay?~£~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 20914560eb4c46a087218709875442de | 2 | short_answer | John, Raj and Pete were hired to paint a house. Together, they can finish the job in an hour. John and Raj can finish the job in $$1$$ hr $$12$$ min. Raj and Peter can finish the job in $$1$$ hr $$30$$ min. How long (in minutes) will Raj take to finish the same job by himseif? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 7516bd8e3a554c9e8a9888a667a1aa56 | 2 | short_answer | Sean works for a company. His normal rate of pay is £$12$ per hour. When Sean works more than $8$ hours a day, he is paid overtime for each hour he worksmore than $8$ hours. Sean\textquotesingle s rate of overtime pay per hour is~$1\dfrac{1}{4}$ times his normal rate of pay per hour. On Monday Sean worked for $10$ hours. Work out the total amount of money Sean earned on Monday. | [
"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 | d4d4df7fd96047a69ce80699a26c4864 | 1 | short_answer | Work out $$111-87$$ 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 | 2c4866d958f643a58cb054fe6c157f1e | 1 | short_answer | Find $$35 \%$$ of $$60$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | aa03416c5455441d81c098442d3c2d35 | 2 | short_answer | The current ages of two brothers add up to $$42$$. A few years ago, when the elder brother was at the current age of the younger brother, the younger brother was exactly half the elder brother\textquotesingle s current age. How old is the elder brother now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems"
] |
2023-07-07T00:00:00 | 1cb912909e124af1a7949a343cef8e13 | 1 | short_answer | Dividing a certain two$$-$$digit number by $$5$$ leaves a remainder of $$3$$; dividing it by $$7$$ leaves a remainder of $$3$$. What is the smallest possible value of this number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | dc92fc8ba3454847b1dd2c2308d30548 | 1 | short_answer | Find the remainder when a $$99$$-digit number $$928928928\cdots 928$$ is divided by $$9$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | d896015adbd04599a2cc26daea95baf7 | 1 | short_answer | Given that $$\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{3+\dfrac{1}{x}}}}=\dfrac{30}{43}$$, what is the value of $x$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Complex Fractions"
] |
2023-07-07T00:00:00 | 9416b780ce1141bb848907b83016fcce | 2 | short_answer | There are 8 white, 7 blue, 5 green, and 2 orange balls in a drawer. How many would you need to take out of the drawer without looking to make sure that you have removed at least three of the same colour? （⭐⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Combinatorics"
] |
2023-07-07T00:00:00 | c9d8078e6b1f44b7ae76553201933a68 | 1 | short_answer | Find the smallest number which leaves a remainder of $$1$$ when divided by $$5$$ or $$6$$ or $$7$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | 4f4fb0feeaea4c15b84a9162a5ffbd55 | 1 | short_answer | Mike writes down a two-digit number. He finds that if he swaps the digits of the number round, the new number he creates is three more than one third of the original number. What was the original number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Basic Computation of the Multiples->Multiples of Two Variables"
] |
2023-07-07T00:00:00 | 57e9c2f24664499ba1b930195f008ac3 | 2 | short_answer | In a school table-tennis league each team plays each of the other teams \textbf{twice} during the year, once at home and once away. If there are $$30$$ matches in total during the season, how many teams are there in the table-tennis league? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition->Single Cycle Race"
] |
2023-07-07T00:00:00 | 440aa36a121f47c7b484c8c1f4367f6f | 1 | short_answer | Jocye plans to pack apples with some boxes. It takes $$4$$ boxes to pack $$14$$ kilograms of apples, how many such boxes are needed for $$66.5$$ kilograms of apples? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 3419bae73fb749eeb7ef999b0bb66f8f | 1 | short_answer | The sum of George\textquotesingle s age and his sister\textquotesingle s age is $$34$$. How many years later will their sum of their ages be $$40$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems"
] |
2023-07-07T00:00:00 | 56dd9ea0cff247b9b36fe15ff5d91c1b | 1 | short_answer | A rope wrapped around a tree, if ten turns around the tree is left $$3$$ meters, if $$12$$ turns is missing another $$3$$ meters. So how many meters around $$8$$ turns left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | b79a007b43284d9e9fd0dbf5e85e2911 | 1 | short_answer | Ivy is solving the following question: An international Mathematics competition has participants from $$11$$ different countries. At least how many participants should there be to ensure that a minimum of $$5$$ people come from the same country? Below is her working: $11-1=10$ $10\times5=50$ $50+1=51$ There should be at least $51$ participants. Is Ivy correct? If not, show the correct working and answer. | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | 5bf4daf22b5a40a9887f31566b2d48fc | 2 | short_answer | $$\begin{cases}x+y=9 y+z=15 z+x=12 \end{cases}$$． $x+y+z=$~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with Multiple Variables"
] |
2023-07-07T00:00:00 | eb26143450c84a16921ed5a98f9de962 | 1 | short_answer | Teacher Ying is arranging tables in rows so that the students can take the exam. Each row can only fit $$5$$ tables. The class has $$31$$ students. What is the least number of row does Teacher Ying need to fit all the tables for the students? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 0a280d66b3c54260bc3e5e5b92675682 | 1 | short_answer | Work out $$73+28+37+82$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Operation Strategy in Addition and Subtraction of Rounding Whole Numbers->Rounding in Addition and Subtraction of Whole Numbers"
] |
2023-07-07T00:00:00 | c155a8080b684c068448baa4beb540fd | 1 | short_answer | The same letter represents the same digit and different letters represent different digits. Find the value of $A+B+C+D$. | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (vertical forms)",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 93017999421c4dfb8d3245edf5e78291 | 1 | short_answer | There are a total of $1000$ four---digit numbers from $1000$ to $1999$. If one of these numbers is selected at random, what is the probability that the number is greater than $1499$? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | a239a2f7efec479d8b6dec2e19b56410 | 1 | short_answer | Kitty and Nora are two cats. Together they weigh 11 kg. Kitty weighs 3kg more than Nora. How much does Kitty weigh? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | c35ec43fb3f648c2add882035b734b41 | 1 | short_answer | （UK January 2021 Merchant Taylor\textquotesingle s School Question \#$18$） Ash has three times as many "Pokemon" cards as Ben has. Catherine has five more cards than Ben. If Catherine has $54$~"Pokemon"~cards, how many does Ash have? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 48e3194ccba043bc8a5dc6cec126652f | 1 | short_answer | $$92\times503$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 467bd772358e49a68cedca5e2cd63eb6 | 1 | short_answer | Mary spent $$\frac{3}{7}$$ of her money on a bag. The difference between the amount spent and not used was £$$12$$. How much did Mary spend on the bag? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 61c1df4ae6dc4b04b1f7294d3a316b5c | 1 | short_answer | I think of a number. I double it and add six. The answer is $28$. What was my number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | a12f50c13e3547a0ae15f90b1739b8cc | 2 | short_answer | The Seven Dwarfs were born on the same day, in seven consecutive years. The ages of the youngest three add up to $42$ years. What do the ages of the oldest three add up to? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Applying the Theorem of Middle Term"
] |
2023-07-07T00:00:00 | d85b8dc81daa4cff9e229ed18013f421 | 1 | short_answer | If we define $$20\odot 3=20-2-1$$，$$88\odot 5=88-4-3-2-1$$，$$36\odot 2=36-1$$, what is the value of $$111\odot 7$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | 740c2ea1db4846958c463409a773c7f3 | 1 | short_answer | Multiply $2018$ by $17$. | [
"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 | d111890eecfe4763af42bdbdd75ef647 | 1 | short_answer | Calculate: $$5^{2}+10^{2}+15^{2}+20^{2}+\cdots +95^{2}+100^{2}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1²+2²+3²+......+n²=1/6n(n+1)(n+2)"
] |
2023-07-07T00:00:00 | 6f0e1348bfdc4d1ea3352d71e2692834 | 1 | short_answer | Factory $$A$$, $$B$$ and $$C$$ made a total of $$659$$ toys. Factory $$A$$ and $$B$$ made $$447$$ toys. Factory $$B$$ and $$C$$ made $$335$$ toys. How many toys did Factory $$B$$ make? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Overlapping"
] |
2023-07-07T00:00:00 | bb1ead10049c43daa3e195435cc53a8d | 1 | short_answer | Mr Ya has some stickers to give to his pupils as a reward for their good behaviour. If he gives $$13$$ stickers to each pupil, he will have an excess of $$190$$ stickers. If he gives $$17$$ stickers to each pupil, he will have an excess of $$50$$ stickers. How many stickers does Mr Ya have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | c5c71659203f4ee49a62c35017eeabf9 | 1 | short_answer | Kevin\textquotesingle s monthly salary is $1.4$ bitcoin. Kevin owns Robin for $5.04$ bitcoins. How many months does Kevin need to work to pay his debt? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | 308d0a3f39044f29afa6faf36c5ef1d5 | 1 | short_answer | What is the sum when you add together all the factors of $$72$$ (including $$1$$ and $$72$$ itself)? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | 676023bee5544241be8dd837eee97422 | 1 | short_answer | Find the average of $$11$$, $$13$$, $$15$$ and $$17$$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | f5b829df546b43c1a2a3f325813d409e | 1 | short_answer | There are $$500$$ pupils at Lily\textquotesingle s school. There are $$30$$ more girls than boys. How many girls are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 02b793a0cdc04afdb8f93895a893bda8 | 2 | short_answer | $$7$$ files and $$4$$ storybooks cost £$$108$$. $$5$$ files and $$3$$ storybooks cost £$$80$$. Find the total cost of $$1$$ file and $$1$$ storybook. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems"
] |
2023-07-07T00:00:00 | a4e98db3396e4882871511a7668317b7 | 1 | short_answer | At a garden party there are $$7$$ trays of sausages with a mean average of $$13$$ sausages pertray. Just before the guests are allowed in, the head chef brings out another tray containing $$21$$ sausages. What is the mean average number of sausages on the trays now? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly"
] |
2023-07-07T00:00:00 | a65f0fe64967475ba4b828d09b4f6362 | 0 | short_answer | $$1.99+2.99+3.99+4.99$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | c01ed3d066de41f4b0dc3b432983e51a | 2 | short_answer | A $$3$$-digit integer is called a \textquotesingle V-number\textquotesingle{} if the digits go \textquotesingle high-low-high\textquotesingle{} $$-$$ that is, if the tens digit is smaller than both the hundreds digit and the units (or \textquotesingle ones\textquotesingle) digit. How many $$3$$-digit \textquotesingle V-numbers\textquotesingle~are there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Complex Forming Numbers",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 2acae01fc5ad425b87d9eeb0cca3489d | 1 | short_answer | What is $$3\frac{1}{2}\div \frac{1}{4}$$？ ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"
] |
2023-07-07T00:00:00 | 3c947304032d4050bb2c1007cb1ba227 | 1 | short_answer | A $$137$$-m long train crosses two bridges at the same speed. The first bridge is $$263$$ m long. It takes the train $$20$$ s to entirely cross the bridge and $$27$$ s to entirely cross the second bridge. How long is the second bridge in meters? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Word Problems of Trains",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | c7c1666cff0e4299806585caa2a77a6d | 1 | short_answer | Rani has $$$456$$ and Brenda has $$$528$$. How much money must Brenda give to Rani so that both of them will have the same amount of money? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Giving and Receiving"
] |
2023-07-07T00:00:00 | a5ba7c5275b6482395f95a17e5b4bb62 | 0 | short_answer | Work out $8.8 + 5.6$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | cd598ad9ace144b2bfb79abe93cbc606 | 3 | short_answer | There is a total of $$125$$ blue and red balls in a bag.~$\tfrac{2}{5}$~of the blue balls is equal to~$\tfrac{3}{5}$~of the red balls. How many more blue balls than red balls are there in the bag? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | b0700754dfa7464eb071ad2a5f2c576a | 1 | short_answer | What is~$2014\times40$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 879a251dabb24df9ab8ee19fc30fa517 | 2 | short_answer | Calculate: $\frac{2022+4567\times 7890}{4568\times 7890 - 5778}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | ca443bd6f6ae418ea84d9a56e57912a5 | 1 | short_answer | How many different ways are there to lend seven different books to three students, given that each student gets a book? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations"
] |
2023-07-07T00:00:00 | 894f8948c65e423aafef61f63e598f12 | 1 | short_answer | $$3$$ similar watches and $$5$$ similar handbags cost $$$915$$. $$4$$ such watches and $$2$$ such handbags cost $$$632$$. What was the total cost of $$2$$ such watches and $$2$$ such handbags? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | b12b9f5178d140e682c64da6f1cf80e5 | 1 | short_answer | $$88$$ pieces of candy are shared between $$8$$ children and each of them gets at least one piece. Every child gets different number of pieces. For the child who gets the most pieces, what is the least possible number of pieces he can get? | [
"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 | ab227cc9f73a4cb5a765a8c55e9d31b4 | 1 | short_answer | A pair of shoes is selling for $$80$$ dollars, which is $$20$$ dollars lower than the original price. What is the percent of the discount？ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 33f0af890b564ab1aa7a516852f730ee | 1 | short_answer | $56 − 7 \times 4 \div(5-3)$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 9d9d88531760402f8ece6a4b9d1e5fd4 | 1 | short_answer | On $1$st December $2008$ my grandmother was $80$ years old. Her daughter was $40$ years old on $1$st December $1996$. How old was my grandmother when her daughter was born? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems->Difference of Ages"
] |
2023-07-07T00:00:00 | 904f0cdae54f4d4a9375c041f3a5ebf8 | 3 | short_answer | $$4$$ individuals pass the ball to each other and they pass it to others immediately when they catch the ball, starting from A as the first pass, the number of different methods that after $$3$$ passes the ball being back to A is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
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