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 | 0ee15c78437e4441b6fab59b505f4f07 | 1 | short_answer | Each letter represents a distinct number. Calculate the value of $$B$$. $$C+B=18$$ $$B=A+A+A$$ $$C+A=10$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with Multiple Variables",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | 16a3dc8e16654eba8f42e5628ae6b0d7 | 1 | short_answer | Mike and Valeria are playing a game. Valeria says: "We have $$36$$ pieces of candy in total now. If both of us eat the same amount of candy, then you will have $$6$$ pieces of candy left while I will have $$22$$ pieces of candy left.'' Mike says: "That\textquotesingle s true.'' How many pieces of candy does Valeria 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 | 3a0c96637f8f4963be5154dec26041d4 | 1 | short_answer | Elvis can read $$\frac{1}{4}$$ of a story book in $$3$$ days. In how many days can he finish reading this book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | 69441d55da344f318ced84a6b17a5d9e | 1 | short_answer | When Melissa was $$8$$ years old, her mother was $$32$$. Now, Melissa\textquotesingle s mother is three times as old as Melissa. How old is Melissa now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Differences and Multiples in Age Problems"
] |
2023-07-07T00:00:00 | 813e51f849b44a6fa9381c1e0c4e0ab4 | 1 | short_answer | $$237\times 3 =$$ | [
"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 | 21362a16887e4938b66f90a3b86538ec | 1 | short_answer | $$n$$ is the number for which $$2\times n\times7=42$$. $$n=$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication within the Multiplication Tables"
] |
2023-07-07T00:00:00 | 0451666ed3a54fca8dd2a6d9767c0524 | 1 | short_answer | Given that $\frac67=\dot{8}5714\dot{2}$. Find the sum of the first $58$ digits after the decimal point in the decimal form of $\frac{6}{7}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | 475ca97d0299476480ca43202424b241 | 1 | short_answer | What is the smallest one among the following decimals? $$4.\overset{\cdot }{\mathop{7}}\overset{\cdot }{\mathop{3}}$$, $$4.73$$, $$4.77$$$$\cdots $$, $$4.737$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | d60380a226c84add9f82f10ca29d840d | 1 | short_answer | Some friends are removing plants. Ethan first removes $1$ less than half of the plants, then Valerie removes $3$ less than half of the remaining plants. Finally, Joel removes $2$ less than half of the remaining plants. If there are still $$4$$ plants left, how many were there at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems"
] |
2023-07-07T00:00:00 | 9cf67e307d96451eae198324e79cdb76 | 1 | short_answer | A train with a length of $$128$$ m travels at a speed of $$52$$ m/s to pass through a tunnel with a length of $$544$$ m. What is the duration of~\textbf{the entire train being in the tunnel}? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Word Problems of Trains",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 67336d9158cc4e12887f9dc78bf7e50d | 1 | short_answer | An egg-seller sold $$16$$ eggs more than half the number of eggs in his basket. He then sold $$7$$ eggs fewer than half of the remaining eggs in his basket. If he was left with $$18$$ eggs, how many eggs were in the basket at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | 4043641cbe8e48579335b4edc83806ab | 1 | short_answer | Calculate: $$33+29+34+28+27+30=$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers"
] |
2023-07-07T00:00:00 | 8d86bdb1a0a24c279d87fda22507fcf9 | 1 | short_answer | The price of a brand of coffee beans was increased by $40 \%$ to $ $21$ per $\text{kg}$. What was the price of the coffee beans per $\textit{kg}$ before the increase? $ $$~\uline{~~~~~~~~~~}~per $\text{kg}$ | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 5da1575e00d448078124140f108f6b1b | 3 | short_answer | Segments $\overline{AB}$, $\overline{AC}$ and $\overline{AD}$ are edges of a cube and $\overline{AG}$ is a diagonal through the center of the cube. Point $P$ satisfies $PB=60\sqrt{10}$, $PC=60\sqrt{5}$, $PD=120\sqrt{2}$ and $PG=36\sqrt{7}$. What is $PA$? (2021 AIME I Problem 6) | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 634f64a64d30499f9f880472d43a7055 | 2 | short_answer | A total of $$120$$ P1 and P6 students were asked to water some trees. Each P6 student carried $$2$$ buckets of water while $$2$$ P1 students carried $$1$$ bucket of water. There was a total of $$180$$ buckets of water. How many P1 students are there? (Each student only went to carry the bucket once) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | cb8c28b4153d467c8903c0e71a0a22d4 | 1 | short_answer | If a two pence coin is tossed two times, the side facing up noted (heads or tails), how many possible outcomes are there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Tossing Coins"
] |
2023-07-07T00:00:00 | 1234c16c22404bc6a76790494da1a78e | 1 | short_answer | Five football teams play each other once. How many matches will need to be played? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition->Number of Handshake Problem"
] |
2023-07-07T00:00:00 | 53f82e136dfc4d0697c253feec246f5e | 1 | short_answer | $$2$$ identical basketballs and $$3$$ identical volleyballs cost~£$$195$$. $$4$$ such basketballs and $$5$$ such volleyballs cost £$$355$$. What is the cost of each volleyball? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | 692b53f35cbd484ba885d86fdf51f30f | 0 | short_answer | Work out~$7\div\dfrac{1}{3}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"
] |
2023-07-07T00:00:00 | 726917a5243142e79bae60dd034dcbc5 | 1 | short_answer | Think Academy has $55$ pencils and $143$ pens to give students as gifts. Each student should receive the same amount of pencils and pens, leaving no spare pens or pencils left. How many students at most will be able to receive the gift? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Two Numbers"
] |
2023-07-07T00:00:00 | 4ba6c7d9ff624ec59381cbce9385be36 | 1 | short_answer | $10000$ years ago, Owen the fisher traded $3$ fish for $1$ rabbit from Oscar the hunter. Then, Oscar traded $2$ rabbits for $3$ packs of wheat from Dennis the farmer. How many fish should Owen give Dennis for a pack of wheat? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Simplifying Continued Ratios"
] |
2023-07-07T00:00:00 | 363d10eef0ea4189a47ee75921956b9a | 1 | short_answer | Johnny is working on his math homework. ~\uline{~~~~~~~~~~}~$$\div $$ $4$ = $9$ R $2$ The following is his solution: $9\times2$ = $18$ $18+4=22$ Answer = $22$ Is his answer correct? If not, circle out his error and write out the correct working. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 95169f59fb1e45c8aaf5a970e8290d37 | 1 | short_answer | Khatijah throws two dice and adds together the scores. How many different ways can she score $$8$$? \textbf{show each different way clearly.} ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Rolling Dice"
] |
2023-07-07T00:00:00 | 55734b338e6d4ee0aa4775fc46af08dd | 1 | short_answer | Jocye plans to pack apple with boxes. It takes $$4$$ boxes to pack $$14$$ kilograms of apples, how many such boxes are needed for $$66.5$$ kilograms of apples? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | e6f7522a2ae041debd897088b6275751 | 1 | short_answer | Eddie is $8$ years old this year, and Mike is $48$ years old this year. Find Mike's age when Eddie is $18$ years old. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Basic Relationships in Age Problems"
] |
2023-07-07T00:00:00 | 7cef41fa4f8244ccbd2620d682e9d2d7 | 2 | short_answer | At first, in the canteen, $40 \%$ of the students were boys. After $16$ boys left and $16$ girls entered the canteen, the boys made up $\frac{2}{15}$ of the students in the canteen. How many girls are in the canteen now?~\uline{~~~~~~~~~~}~girls. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | 67e5f1006ba14b7ba20f1a63cf93e70c | 1 | short_answer | Justin wants to use the digits $2$, $7$, and $9$ to make prime numbers less than $100$. How many different prime numbers can he make? (He can use the same digit more than once.) | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | 83d292a05ff04677a8c5ed5ab8c0c835 | 3 | short_answer | Calculate：$$\frac{3\dfrac{1}{3}\times 1.9+19.5\div 4\dfrac{1}{2}}{\dfrac{62}{75}-0.16}\div \frac{3.5+4\dfrac{2}{3}+2\dfrac{2}{15}}{0.5\times \left( 1\dfrac{1}{20}+4.1 \right)}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Four Operations of Fractions and Decimals"
] |
2023-07-07T00:00:00 | c24f600dece04c93bb09e2b54f50d1af | 1 | short_answer | The total cost of a necklace, bracelet and ring is £$350$. The necklace costs twice as much as the bracelet. The ring is £$10$ cheaper than the bracelet. What is the cost of the bracelet? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple->Sum and Multiple of Multiple Variables"
] |
2023-07-07T00:00:00 | 2770667d43574021b710d6ea74fb5929 | 3 | short_answer | Tabitha writes down a four-digit number $$N$$. She then rubs out one of the digits and creates a new three-digit number, $$M$$, with the three digits that are left (in the same order as before). The difference between $$N$$ and $$M$$ is 2021. What is Tabitha\textquotesingle s original number $$N$$? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles->Number Puzzles (horizontal forms)"
] |
2023-07-07T00:00:00 | e6b0f44cc53249e1aaf86a515c4628c3 | 1 | short_answer | A shop sells bananas and pears. Max buys $1$ banana and $2$ pears. He paid $94$p. Emily buys $1$ banana and $1$ pear. She paid $62$p. How much does $1$ banana cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems->Solving Problems by Solving System of \nBinary Linear Equations with Integer Coefficients "
] |
2023-07-07T00:00:00 | e55659b67fec48ffadc5d661886b3f84 | 3 | short_answer | A group of $$200$$ students were interviewed to find out whether they enjoyed swimming, jogging, swimming and jogging, or neither of the two sports. $$82$$\% of the students indicated that they liked swimming, $$54$$\% of them indicated that they liked jogging and $$16$$\% indicated that they did not like either of the two sports. How many students enjoyed both swimming and jogging? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | df34fda134ee46a8ac94860f5ae12f9f | 4 | short_answer | A can do a job in 15 days while B can do it in 10 days. They work on it together for 4 days and then worker A has to take off to deal with a family emergency. In how many days can B finish the remaining job?（⭐⭐⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 2fdb4d6852a34749900c0604b0418b95 | 2 | short_answer | Calculate: $$\left( 1+0.23+0.34 \right)\times \left( 0.23+0.34+0.65 \right)-\left( 1+0.23+0.34+0.65 \right)\times \left( 0.23+0.34 \right)$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | 4265848eb5144e06beaccae813bc11b5 | 1 | short_answer | Helen bought 16 train tickets and each train ticket costs £112. How much does she need to pay? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 1b84c5b40beb49b39b7f4106f6ee146a | 1 | short_answer | A tree is planted at every $$10$$ metres along a stretch of road. If the stretch of road is $$150\text{m}$$ long and the trees are planted at opposite ends of the road, how many trees are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | a36a520966aa451d95a300b07e198fe4 | 1 | short_answer | Linda can do a math problem every $$5$$minutes and Cici can do a math problem every $$6$$ minutes. Working together, how many math problems can they do in $$2$$ hours? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 073d74f386764ceba3da553d97018f98 | 1 | short_answer | Amy has $$37$$ apples and John has $$15$$ apples. How many apples does Amy have to give John so that she has exactly $$4$$ more apples than John? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 3997afa5717b4b90979f5a94f367106a | 0 | short_answer | Find the Highest Common Factor of the following pair of numbers $$16$$ and $$28$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Two Numbers"
] |
2023-07-07T00:00:00 | c1d55208f4314facb8dcb7a0c1f51107 | 1 | short_answer | Alice and Hanet had some stickers. Alice had $245$ stickers. Given that Janet had $125$ more stickers than Alice, how many stickers than Alice, how many stickers did they have altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | a17b0ae95a20483eb0160f780a8e055e | 0 | short_answer | Write the \textbf{odd number} that is less than $$17$$ and more than $$13$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Odd and Even Numbers->Understanding Odd and Even Numbers"
] |
2023-07-07T00:00:00 | 6325f3cd4acc410e9a72d43acf9b5e4a | 1 | short_answer | You arrive at a bus stop $$18$$ minutes late. The buses run every $$45$$ minutes. How long do you have to wait for the next bus? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | 0961229b4dfe45bdaf586d80da5a6a93 | 1 | short_answer | A piece of pasture can feed $$14$$ goat for $$15$$ days or $$70$$ rabbits for $$8$$ days. If a goat eats as much grass a day as $$4$$ rabbits a day, for how many days can this piece of pasture feed $17$ goats and $$20$$ rabbits? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Newton's Problem of Cows and Fields"
] |
2023-07-07T00:00:00 | 4de96797dadc44f48c4b27b71845270c | 1 | short_answer | Calculate $$273\div7$$ Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 75af17ec850b4308b6ad72a935dd048e | 1 | short_answer | The mean of ten numbers is $$37$$. Find the missing number. $12$~ $25$~ $27$~ $6$~ $16$~ $14$~ $13$~ $7$~\uline{~~~~~~~~~~}~$21$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication"
] |
2023-07-07T00:00:00 | 8a7b6a6417544e3db14b40a2435e0338 | 1 | short_answer | A funfair booth gives out $3$ types of prizes, X, Y and Z. There are $83$ more Prizes X than Prizes Y and $24$ more Prizes Z than Prizes X. Given that the booth consists of a total of $283$ prizes, how many Prizes Y are there at the booth? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 3c6d41e0ffa34ee694abb711aabe5956 | 1 | short_answer | The cost of a residential trip is £$216$ per person. What would the total cost be for $67$ people to go on the trip? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | d7b4feae676a418c84a780e950e5d4ea | 1 | short_answer | If nine identical books cost £$38.79$~together, how much would seven books cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | 24686bdbc8614ff88d9dba695c5c1775 | 1 | short_answer | Write $10$ tens, $35$ tenths and $8$ hundredths as a decimal. Ling said, "I think the answer is $$10.358$$." Is she correct? If not, what is the correct answer? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals"
] |
2023-07-07T00:00:00 | 5b5d9ce674b5461e84d5e7eef6e47575 | 2 | short_answer | Mr Chan and Mr Toh had some money. $$\frac{1}{4}$$ of Mr Chan\textquotesingle s money was $$$33$$ more than $$\frac{1}{3}$$ of Mr Toh\textquotesingle s. If they had $$ $1000$$ altogether, how much money does Mr Toh have? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 274626bb25f24193b540a837c430a2c3 | 1 | short_answer | The number of erasers Sandra has is $$\frac{1}{3}$$ of the number of Tasha\textquotesingle s erasers. The number of erasers Riley has is $$\frac{3}{5}$$ of the number of Sandra\textquotesingle s erasers. If Tasha has $$60$$ more erasers than Riley, how many erasers does Riley have? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | d36c559112ec475d90ba54b5fb925432 | 1 | short_answer | A snail is climbing a clock tower which is 45 metres high.~ It climbs 10 metres during the day and slides down at night. 1 metre on the 1st night, 2 metres on the 2nd night,~ 3 metres on the 3rd night, $\cdots$ and so on. Which day would reach the top of the tower? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 605b7166959c4309ba377c841f125c8c | 1 | short_answer | Find x. $$5x+3(19-x)=65$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | 0bed7f7889ec46ae8c8a1d9b3ffad093 | 1 | short_answer | If we define $$3\triangle 2=3+33=36$$，$$2\triangle 3=2+22+222=246$$，$$1\triangle 4=1+11+111+1111=1234$$, what is the value of $$4\triangle 3$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | 6e66da49abf64b81a126cd036c206db2 | 1 | short_answer | Suki saves £$$13$$ in January, £$$18$$ in February and £$$5$$ in March.What is her mean (average) monthly saving? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | af0e6eebf4764c91a8984e3324ae0c84 | 1 | short_answer | If $\sqrt{x+7}=9$, what is the value of $x$ ? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | aa65bb86d41443cba1628a0551144ba9 | 1 | short_answer | Teacher Michelle told Andy that the password to unlock her treasure chest is "$$\text{Angel}$$", which represents the following numbers $$0141705021$$. Now, she changes her password to "$$\text{Devil}$$" and let Andy to unlock it. $ $ Andy tries in the following numbers: $$4005220912$$ Do you think Andy can unlock the treasure chest? If yes, please give your reason. If no, please provide the correct password. | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Letters"
] |
2023-07-07T00:00:00 | 857ab67cbb1247aea950633a74d6701b | 1 | short_answer | How many different ways are there to write $6$ as the sum of two or more positive numbers? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers"
] |
2023-07-07T00:00:00 | 3df1ffb0a3aa4d07b3bd3acc1b128b78 | 1 | short_answer | Calculate: $$0.0\dot{1}+0.1\dot{2}+0.2\dot{3}+0.3\dot{4}+0.4\dot{5}+0.5\dot{4}+0.7\dot{8}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | 708686c18792498ca280531b38305bd6 | 1 | short_answer | Suppose that $\sqrt{x}=\sqrt{a}-\frac{2}{\sqrt{a}}(a\textgreater0)$. Find $\sqrt{x^{2}+8 x}$ in terms of $a$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation"
] |
2023-07-07T00:00:00 | 40eb290a88af4052901031e1476213be | 1 | short_answer | John chooses three different numbers from $$2017$$, $$2018$$, $$2019$$, $$ \cdots $$, $$2033$$, $$2034$$, $$2035$$. How many ways can this be done if the sum of these $$3$$ numbers is to be divisible by $$4$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders"
] |
2023-07-07T00:00:00 | 0f13e96f9aaa4d28997b667b9c11593b | 1 | short_answer | A farmer arranges $$23$$ sheep to $$11$$ sheep pens. How many sheep at least are there in the sheep pen with the most sheep? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems"
] |
2023-07-07T00:00:00 | a30b46882b6149eb828e015d814c6a7b | 0 | short_answer | Find a whole number between $$300$$ and $$400$$ that has the following properties. When the number is divided by $$3$$ the remainder is $$2$$. When the number is divided by $$4$$ the remainder is $$2$$. When the number is divided by $$5$$ the remainder is $$2$$. When the number is divided by $$7$$ the remainder is $$5$$. What is the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | b1ec96325b0e48bbb89d9c37f1f20bfa | 2 | short_answer | There is a total of $45$ boys and girls in a choir. The mean age of the $18$ boys is $16.2$ years. The mean age of the $27$ girls is $16.7$ years. Calculate the mean age of all $45$ boys and girls. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | 1158d90d7f994c008185739c0f7b4c3e | 1 | short_answer | Teacher Michelle told Andy that the password to unlock her treasure chest is "$$\text{Angel}$$", which represent by the following number $$0141705021$$. Now, she change her password to "$$\text{Devil}$$" and let Andy to unlock it. $ $ Andy keys in the following number: $$4005220912$$ Do you think Andy can unlock the treasure chest? If yes, please give your reason. If no, please provide the correct password. | [
"Overseas Competition->Knowledge Point->Combinatorics->Patterns of Letters"
] |
2023-07-07T00:00:00 | a8a21f84ab5f44019c3f7690709b84e5 | 1 | short_answer | I am a number between $200$ and $300$. I have remainder $$1$$ when divided by $$6$$. I have remainder $$8$$ when divided by $$13$$. What am I? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Reasoning by Conditions->Complex Reasoning ",
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation"
] |
2023-07-07T00:00:00 | ca038012d8394203b0afe2e0b7b9c6ab | 1 | short_answer | Raye goes to the park every $$6$$ days. Simon goes to the park every $$12$$ days. Taylor goes to the park every $$16$$ days. They met each other today at the park. What is the least number of days it will take all three of them to meet again at the park?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | e4135525c98945d49a3e9731dcae7f35 | 1 | short_answer | There are $$7$$ green balls, $$5$$ yellow balls and $$2$$ red balls in a bag. Sara will be blindfolded before she takes the balls out, one at a time. How many balls must Sara take out in order to be sure she gets $$5$$ balls of the same colour? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 727dbcf473414fbc9939bfee97cb4aa8 | 1 | short_answer | The total mass of $$3$$ tables is equal to the total mass of $$4$$ chairs. A table is $$2\text{kg}$$ heavier than a chair. Find the mass of a table.~\uline{~~~~~~~~~~}~$$\text{kg}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions",
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 9da771602ee246a181dd1962904ef124 | 1 | short_answer | Part of a number sequence is shown. $25, 28, 31$ If the last number shown is the $10^{\rm th}$~term in the sequence, what was the first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The Number of Terms in an Arithmetic Sequence"
] |
2023-07-07T00:00:00 | b70b59bf48324644a782454f2b7ea13d | 2 | short_answer | Sam and Ben started swimming at the same time from the opposite ends of a $$30\text{m}$$ swimming pool. Each boy would turn in the opposite direction and continue swimming upon reaching the end of the pool. The average speed of Sam was $$1{\text{m}}/{\text{s}} ;$$ and the average speed of Ben was $$0.6{\text{m}}/{\text{s}} ;$$. How many times did they meet each other if they swam for $$10\min $$? (We can assume that the turning time is negligible.) | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 31eaf65804d54a3b8c6e51af4e58623c | 1 | short_answer | Peter invents a new operation sign $*$, showing the rule $\overline{ab}*\overline{cd}=ab+cd$. For example, $23*45=2\times3+4\times5$. What is the result of $89*75$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | 3f49f548bea24803a2293b65735a1967 | 0 | short_answer | Calculate $5928 \times13$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 94e0c1d7e2e64c55bf498ab0da425bf2 | 1 | short_answer | The temperatures recorded on a winter's day in four different European cities are shown below: $-11^{\circ}\text{C} 17^{\circ}\text{C} 8^{\circ}\text{C} -3^{\circ}\text{C} -6^{\circ}\text{C}$ What is the difference in temperature between the hottest and coldest cities? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | 4296e2f3a8b241e3a8477feb371d9f40 | 1 | short_answer | The average height of Bob and Cindy is $$120\text{cm}$$. If the height of Doris is $$126\text{cm}$$, what is the average height of these three children? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | b789c34055e44469a46db4918988572a | 1 | short_answer | Katherine has $$$24$$. Tom has twice as much money as Katherine and Gareth has $$4$$ times as much money as Tom. How much money does Gareth have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | 0d85bf8110034401aca552b3cdbd023f | 1 | short_answer | In $6$ years\textquotesingle{} time, Destin will be twice his nephew\textquotesingle s age. $6$ years ago, the ratio of Destin\textquotesingle s age to his nephew\textquotesingle s age was $5:1$. What is the sum of their ages in 10 years\textquotesingle{} time? | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 4052d15f214249809613fa6de2242cc9 | 1 | short_answer | The average number of pencils owned by the boys and girls in a class is $$35$$. The average number of pencils owned by the boys is $$20$$ while the average number of pencils owned by the girls is $$60$$. If there are $$40$$ pupils in the class, how many boys are in the class? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Word Problems for Linear Equations with One Variable"
] |
2023-07-07T00:00:00 | e86bfb04d39a44d2a53da86f38d8841d | 1 | short_answer | Mrs Tan and Mrs Lim had an equal number of pies at first. After Mrs Tan bought another $12$ pies and Mrs Lim gave away $4$ pies, Mrs Tan has twice as many pies as Mrs Lim. how many pies did each of them have at first? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 24bf5eb8b2e54ae8a85ca04786fa6736 | 0 | short_answer | $$9.97+9.98+9.99$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals"
] |
2023-07-07T00:00:00 | 3a046196146143df8c11a228fe1ea8e9 | 1 | short_answer | Using the digits $$1$$, $$3$$, and $$5$$, we can form~\uline{~~~~~~~~~~}~different numbers without repeating digits. | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Dictionary Ordering"
] |
2023-07-07T00:00:00 | aa5a70d5b23d4d83a688ce6c80ff9fbb | 1 | short_answer | A train leaves Solihull at $6:35\text{am}$ and arrives at Liverpool at $10:22\text{am}$. How many minutes does it take? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | c8c3777bba9244539cc9e012e79c700e | 1 | short_answer | The pattern $$345634563456\ldots{} $$ is continued to form a $$50$$-digit number. What is the sum of all $$50$$ digits? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Sequence Operations->Period of Numbers"
] |
2023-07-07T00:00:00 | 46a38674ac06447aab8309abe41f63ee | 1 | short_answer | $$3\div (3\div 5)\div (5\div 7)\div (7\div 9)\div (9\div 13)\div (13\div 15)$$ = | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"
] |
2023-07-07T00:00:00 | 66bbfb9d35fd4c258976e0e26f366bba | 1 | short_answer | The teacher distributed a total of $220$ sweets to the students in the classroom. $\frac{3}{5}$ of the students received $6$ sweets each, $\frac{1}{4}$ of the remainder received $4$ sweets each and the rest received $5$ sweets each. How many students were in the classroom?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 2d58f4f006e243febdaf5acbd7d6781f | 1 | short_answer | Candy and Candice were asked to choose between $6$ cards with one of the numbers $6$, $12$, $35$, $175$, $245$ and $300$ written on each card. Every card has a different number. Candy chose $2$ cards and Candice chose $3$ cards. The product of each girl\textquotesingle s selected cards were equal. Which number was not picked? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"
] |
2023-07-07T00:00:00 | 531ec5e5d7a54e7eb5aad13441f2d557 | 1 | short_answer | $3.88 - 1.111$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 02013d24983948fe8e37ccb917ba805e | 2 | short_answer | Tom is 10 years old now. His father told him: "When you reach my age, I will be 70 years old." How old is father now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 7a453395152a41388d5f4386067df058 | 1 | short_answer | Calculate: $$\frac{3}{10}\times 54+0.3\times 45+30 \% $$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 0d471b7547134c0f9e37864e9573cf56 | 3 | short_answer | The largest odd number that cannot be split into three different composite numbers is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | b7d81cc61e59452e8e10e55be3614c12 | 1 | short_answer | Granny takes one of two different types of tablets per day. One type of tablet comes in packets of $$25$$ and the other type comes in packets of $$20$$. She starts new packets for both on $${{1}^{\text{st}}}$$ March. On what date will she next start new packets of both tablets again? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Word Problems Involving Factors and Multiples->Multiples Word Problems"
] |
2023-07-07T00:00:00 | b3fa535df8954c9aac674b856db4f258 | 1 | short_answer | Write down the number which is halfway between $17$ and $35$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 6349c95e066c4ac9a6e978154b7e5cc5 | 1 | short_answer | Calculate how much bigger $3\dfrac{1}{4}$~is than $1\dfrac{3}{4}$, writing your answer as a decimal. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Fractions into Decimals",
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 6f2e36dcb2704f26b44a0dbfa435da24 | 0 | short_answer | Mrs Lim distributed the prize money of $$$580$$ won during a match to each of her students who participated in the match. Each boy received $$$8$$ and each girl received $$$5$$. Given that there are thrice as many boys as girls in the class, find the number of boys who participated in the match. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 3d8d87b5a55b42d89c08579dd89354fb | 1 | short_answer | What is the sum of all numbers between $$1$$ and $$100$$ which has a remainder of $$3$$ after dividing $$4$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | f3c61e8fd40d43f0a6b6887470b4299d | 1 | short_answer | How many isosceles triangles with all integers length of sides are possible such that the perimeter of the triangle is $$12$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Splitting Whole Numbers",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Geometry Modules->Objects with Straight Sides->Geometric Theorem"
] |
2023-07-07T00:00:00 | 8345ff1d37344640b2384652635b2dd7 | 1 | short_answer | Ella went to a restaurant. The bill for the meal was $45$ dollars, and she left a $15 \%$ tip (The tip is only based on the food bill here). There was also a sales tax which is $8 \%$ of the bill. What was the total cost of Ella\textquotesingle s meal? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 13f3cf43be684a8c8f1075a13f8131ce | 2 | short_answer | The current ages of two brothers add up to $$42$$. A few years ago, when the elder brother was at the current age of the younger brother, the younger brother was exactly half the elder brother\textquotesingle s current age. How old is the elder brother now | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems"
] |
2023-07-07T00:00:00 | 566472f9b1624140a8d419487a79d50c | 1 | short_answer | There are $$42$$ students in a class, $$30$$ in the sports team, $$25$$ in the art team, each student participate in at least one team, then how many students in this class participate in both teams? | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 79ebfd585db2407482e7cf14b77e035d | 1 | short_answer | Calculate the following answer using long division: $104\div4=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders"
] |
Subsets and Splits