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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 936e8db367764ee7ad52e4eed4333f1b | 1 | short_answer | Penny is making cupcakes for her birthday party. It takes her $36$ minutes to make $6$ cakes and the amount of time she spend on each cake is the same. If Penny wants to make $10$ cupcakes, how many minutes will she spend? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Unit Rate and then the Total Value"
] |
2023-07-07T00:00:00 | a4968c4a62914361ad7a1d205bb1e5b4 | 1 | short_answer | Peter went to a restaurant. The bill for the meal was $40$ dollars, and he 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 Peter\textquotesingle s meal? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 58ee44d10dd9468d827490e2aa404506 | 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 | aaaca6fa5ad944f5b9d50ad2726de809 | 3 | short_answer | An arrow is shot from the roof of a building 30 meters high at 5 m/s and at an angle of 45 degrees. How fast will the arrow be going when it hits the ground? | [
"Overseas Competition->Knowledge Point->Combinatorics->Directions and Coordinates"
] |
2023-07-07T00:00:00 | f4b67240ff2e4eea856a54877b0f510d | 3 | short_answer | How many different ways are there to divide $13$ oranges to $3$ kids, to make sure each of them gets at least one orange? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 47ab709ca45c4de2874c7ae5d6b26888 | 1 | short_answer | A number has a digit sum of $20$. The number is divisible by $11$. What is the smallest possible value of the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | a36914e472964629805f90180ee32817 | 2 | short_answer | In the following, all the different letters stand for different digits. What is the value of the $5$-digit number $\overline{SASMO}$? $\overline{SASMO} \times 4 = \overline{OGAMS}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 93268f61447f4bc89f03ed35d94d32d2 | 1 | short_answer | Eddie is ordering lunch at a fast food restaurant that has the following menu. Food: sandwiches, burgers Drinks: coffee, milk, tea Dessert: cake, pudding, ice-cream, pie If Eddie chooses one item from each category, he has~\uline{~~~~~~~~~~}~different ways to order lunch. | [
"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 | 7d5b9285020f4096b89f646f6ac6914e | 1 | short_answer | Calculate: $$78.16\times 1.45+3.14\times 21.84+169\times 0.7816$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 18e751b89c0f4f688755003c0becbb1a | 1 | short_answer | Container $$A$$ contains $48$ ℓ\textbf{~}of water and Container $$B$$ contains $$28$$ ℓ\textbf{~}of water. How many litres of water should be transferred from Container $A$ to Container $B$, so that there is an equal volume of water in both tanks? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Giving and Receiving",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 616e7eb6274e4b9f80158e3a237118cb | 1 | short_answer | 2 elephants weigh as much as 5 cows. 4 cows weigh as much as 3 horses. 3 horses weigh as much as 5 pigs. How many pigs weigh as much as 8 elephant? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 6f7fe67009984428871104da0134627c | 1 | short_answer | Michael borrowed $2,000$ dollars. The interest on the loan was compounded annually for $3$ years, and the interest rate remains the same. After $3$ years, Michael owed $2,519.42$ dollars. What was the interest rate? ($1.079^{3} \approx 1.259$) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 43ef6239d7c44a0183051685a5117a3a | 1 | short_answer | Anjali bought $4$ similar cups at a store. After giving $2$ ten-dollar notes, $4$ two-dollar notes and $8$ fifty-cent coins to the cashier, he received $$$0.40$$ as change. How much did a cup cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | a7860a3460d6490f888b36cb3f9823b9 | 1 | short_answer | The fruit market bought $$24$$ cases of mangoes and $$20$$ cases of lychees from the wholesale market at a cost of $$ $1160$$. Given that the price of each box of lychees is $$6$$ less than $$2$$ times the price of each box of mangoes, how much per box of lychees? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | e47957966fd14e6a9af6de7b6554166e | 1 | short_answer | What is $$60 \%$$ of $$\frac{2}{5}$$ of $$75$$? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 802ac638436e4b4fa6a0b74f166a9968 | 1 | short_answer | Peter went to a restaurant. The bill for the meal was $50$ dollars, and he left a $18 \%$ tip (The tip is only based on the food bill here). There was also a sales tax which is $10 \%$ of the bill. What was the total cost of Peter\textquotesingle s meal? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | 7ead04e31502472f99c0ca926b39ba6f | 2 | short_answer | An evening party has $6$ singing and $4$ dancing performances. Tom is deciding the order of these performances. If he wants to put at least $1$ singing performance between every $2$ dancing performances, how many different ways are there for him to arrange these performances? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 995ae0debbe74e3ca36d61e2bc8db3d4 | 1 | short_answer | The total weight of 5 boxes of pears is 350 kg. What is the total weight of 3 boxes of pears? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | f73e444fccf74dffa657783361eaec4a | 1 | short_answer | Peter has $10$ different books lined up on a bookshelf: four comics and six fictions. How many ways are there to arrange the ten books on the shelf keeping the comics together and the fictions together? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 58a07f22b6ae4e54bc49c3b1f8bc18b8 | 1 | short_answer | Calculate: $$2.4\times 7-\left( 6.8-\frac{7}{10} \right)$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 325dbb02dff7405f9292450c4e4cc0df | 1 | short_answer | Justin and Dora competed in a road safety quiz. They agreed on the following rules: a person got $10$ points for a correct answer and lost $5$ points otherwise (getting a wrong answer or skipping a question). They each answered $10$ questions and together got $155$ points. If Justin got $15$ more points than Dora, how many questions did Dora answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | e09e01d9f1ee46fd9759c4157d7cb3cd | 1 | short_answer | The students in Class $A$ and Class $B$ are selling candies The students in Class $A$ are divided into $3$ groups, while the students in Class $B$ are divided into $4$ groups. Given that each group in Class $A$ sold $12$ candies on average and each group in both Class $A$ and Class $B$ sold $8$ candies on average, how many candies did each group in Class $B$ sold on average? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | b46ebbe765bd4ec282a9d4cddc1aaae1 | 1 | short_answer | Lee and Nancy are typing a document. If they work together, they will finish the job in $$10$$ hours. If Lee types $$6$$ hours and then Nancy types $$20$$ hours, they can also finish the job. How long will it take Nancy to finish the job by herself? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 03472dc686454fea90ff512c5ee5c03f | 1 | short_answer | Mrs Tan mixed coffee and milk in the ratio $$3:8$$ to make a Latte. How many litres of Latte did she make if she used $$6$$ litres of coffee? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Dividing Quantities Based on Ratio"
] |
2023-07-07T00:00:00 | 2636ac2e0f8a4fe4b34c78f1070efed0 | 1 | short_answer | Mrs Tan had $250 \text{cm}$ of string. She used $180 \text{cm}$ of it to tie a parcel. She cut the rest of the string equally into $10$ shorter pieces. How long was each shorter piece of string? Each shorter piece of string was~\uline{~~~~~~~~~~}~$\text{cm}$ long. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | edcff11e678a491588a876c850626fd8 | 1 | short_answer | （UK Latymer $11+$ Mathematics Sample Paper$1$ Question $$26$$） Some passengers are travelling on a bus. At the first stop, two fifths of the passengers got off. At the next stop, one third of the remaining passengers got off, which left $22$ people. How many passengers were on the bus at the start? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 558947a4413a469d810b676273f6d771 | 2 | short_answer | I am thinking of a number less than $20$. When my number is divided by $4$. it gives remainder $3$. When my number is divided by $5$, it gives remainder $4$. What number am I thinking of? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Chinese Remainder Theorem with Constant Remainder"
] |
2023-07-07T00:00:00 | 3eb0547b332f4b4cbda72d04972e652b | 1 | short_answer | Work out $$45 \%$$ of $$80$$. ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions",
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Converting Between Fractions, Percentage and Decimals"
] |
2023-07-07T00:00:00 | 73eb429b39444b6784a10591bacf3800 | 0 | short_answer | The doughnut shop sells $$7$$ different flavours. Amy wants $$2$$ doughnuts of different flavours. How many different combinations are there? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration"
] |
2023-07-07T00:00:00 | bb50e26a7c3b4ac39e82395f0fbd0d95 | 1 | short_answer | Find the greatest common factor of $6$, $9$ and $18$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 6bf07e1e42d0448f94f431aced05a8af | 1 | short_answer | There are $10$ people in a party and each shakes hand with everyone else. How many handshakes take place during the party? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations"
] |
2023-07-07T00:00:00 | c6adf9f4ee8d4ab6b37166fa2ee565c7 | 1 | short_answer | In a box of chocolates the ratio of white to milk to dark chocolates is $3 : 7 : 5$ There are $8$ more dark chocolates than white chocolates. How many milk chocolates are there? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Basic Units"
] |
2023-07-07T00:00:00 | 938d2bcb3f644872a707547c2058d4a7 | 3 | short_answer | In a class,~$\tfrac{1}{4}$~of the students and an additional $$3$$ boys like badminton.~$\tfrac{1}{3}$~of the remaining students in the class less $$3$$ like table tennis and the rest of the $$25$$ students in the class like football. How many students are there in the class? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 2c9bb3658d544a4ab8fdb08d93091cca | 1 | short_answer | There are $5$ red balls and $10$ green balls in a bag. How many red balls do I need to add to the bag so that the probability of getting a green ball is $\dfrac{1}{3}$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Simple Questions Involving Probability",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Typical Probability Problems->Picking Balls Randomly"
] |
2023-07-07T00:00:00 | fd6b3a86acd14b529b51cdd518e9a4a8 | 1 | short_answer | How many squares with a side length of 3 cm can fit into a square with a side length of 6cm? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | e8b01adb4f7d4d8cbff0e3c9d3bc098f | 0 | short_answer | How many centimetres are there in $$70.24$$ metres? Answer:~\uline{~~~~~~~~~~}~$$\text{cm}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length"
] |
2023-07-07T00:00:00 | 271b87d6fd084f7eaa3b6cae9b7ba2b5 | 1 | short_answer | What is the smallest two-digit number that can be divided by $3$ and $7$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 44b8a79ef3104647b9810c583a5a4c21 | 2 | short_answer | Avril spends 5p which is one-quarter of her money. How much money did Bud start with? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 5371e511c53e4a5f8747fe8e3a5e87ad | 1 | short_answer | Work out the product of $12$, $3$ and $50$. | [
"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 | 6657a223a619480aabc4ab2e4d50e627 | 3 | short_answer | Sam Sam had 40 stickers more than Peter. Sam gave 20\% of his stickers to Peter. In return, Peter gave 25\% of his stickers to Sam. In the end, Sam had 96 stickers more than Peter. How many stickers did Peter have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | a9ff37e5065046b585071011b2edb0c3 | 1 | short_answer | Pip buys some candy floss for $$25$$p and some sweets for $$10$$p. How much change would he get from $$50$$p? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | c969df7dcbf546bcbc2a769e7568a5df | 1 | short_answer | （Maths Olympiad 《Value of Ones Digit》 Pr$$3$$\&$$4$$ Question \#$$22$$） Find the ones digit in $${{32}^{33}}-{{22}^{29}}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders "
] |
2023-07-07T00:00:00 | 3020fb600b944914a5d9fcd520cae6fd | 1 | short_answer | A novel is numbered consecutively from page $1$. The digit $6$ appears $18$ times. How many pages are there in this novel at most? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | b24dd75457e8421e98afe8366bd50107 | 1 | short_answer | Tom rolled $$3$$ standard six-sided dice of different colours. Each dice has $$6$$ faces with $$1, 2, 3, 4, 5$$ or $$6$$ dots on each face. The numnber of dots on each of the rolled dice is different. How many possible ways could Tom get the sum $$12$$? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration"
] |
2023-07-07T00:00:00 | 5fe02e26ce5e42fc93b9699b286adec3 | 1 | short_answer | In a supermarket, there are 2 different types of fruits and 3 different kinds of vegetables. How many different combinations can Belinda form if she only wants to buy one type of fruit and one type of vegetable? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration"
] |
2023-07-07T00:00:00 | 524308c13c044993b5bf5bba992cdbb7 | 1 | short_answer | What is $4619 + 457 + 88$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | b5f0243f080b48f7ba4d7a62e9120e41 | 1 | short_answer | What is the missing number in the box? $$\boxed{?}\textasciitilde:81=4:9$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio"
] |
2023-07-07T00:00:00 | 3d6760aa4d044cbc825d82a834e51780 | 2 | short_answer | A monkey is jumping from the bottom of a 40-metre tree. It could jump up 5 metres each time, but it would fall down 3 metres after every 2 jumps. How many jumps does it take the monkey to reach the top of the tree? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 22e56c50744347a3be314d81fcaa4a39 | 1 | short_answer | Calculate: $$\frac{{{2}^{3}}}{1\times 2\times 3}+\frac{{{4}^{3}}}{3\times 4\times 5}+\cdots +\frac{{{2012}^{3}}}{2011\times 2012\times 2013}+\frac{1}{4026}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 7492b9e26fc448699eab170daa00a7e4 | 1 | short_answer | Work out the number from the following clues: It is a whole number It is less than $100$ It is a square number It is one less than a multiple of $5$. $16$ is a factor of this number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | f68d71c9bc684cafa24d741e381775bb | 1 | short_answer | Write down the next number in the sequence $$15$$,~ ~$$21$$,~ ~$$27$$,~ ~$$33$$,~ ~$$39$$,~ ~$$\square$$ Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 3fe260109d4545118d6fa5fb6542ba93 | 1 | short_answer | A test consists of $$80$$ questions. $$4$$ marks are awarded to each correct answer and $$2$$ marks are deducted for each wrong answer or for each unanswered question. Jay answered all the questions and scored a total of $$152$$ marks for the test. How many questions did he answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 79173ac47d4446a7a4b25de9f562a87c | 1 | short_answer | A kitten can eat $$42$$ cans of tuna in 6 days. At this speed, how many cans of tuna can it eat in 9 days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | c58f946556534129afb051e96256c03c | 2 | short_answer | What is the least number of cuts required to cut $$16$$ identical sausages so that they can be shared equally among $$24$$ people? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning"
] |
2023-07-07T00:00:00 | 6ba4e21d59274d4aab0481cae22611d3 | 1 | short_answer | How many ways are there to rearrange the letters in the word \textbf{RAINBOW} if the vowels are never together? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 7b4fffccc9d443f6bae39d698e210c9a | 1 | short_answer | Wendy is twice as old as Vivien. Vivien was $$\frac{1}{4}$$ as old as Wendy $$10$$ years ago. How old is Wendy in $$5$$ years\textquotesingle{} time? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Varying Multiples in Age Problems"
] |
2023-07-07T00:00:00 | b399219fb06d458cbe46dd2b1df7cb15 | 1 | short_answer | Container $$A$$ contained $$\rm 350 mL$$ more water than Container $$B$$. After $$\rm 500 mL$$ of water was spilled out of Container $$A$$. Container $$B$$ had twice as much water as Container $$A$$. How much water was in Container $$A$$ at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | 26af7f86bc8d46ac94cf787333d3fd91 | 1 | short_answer | There exists an integer greater than 10, such that $39$, $51$, and $147$ have the same remainder when being divided by this integer. Find this integer. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | fc84e91f2444473ea06eee0510e38067 | 2 | short_answer | Lovelle just joined the gymnastics team today. She and $5$ other team members each said $3$ sentences to each other, and $12$ team members did not speak to Lovelle. How many team members are there in the gymnastics team now?~\uline{~~~~~~~~~~}~team members. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 13c1aaafec5c4eb2a546b2823b7c9da0 | 1 | short_answer | Write~$\dfrac{3}{8}$ as a decimal. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Fractions into Decimals"
] |
2023-07-07T00:00:00 | fa07d0a580554d999b6611baedc3f30f | 1 | short_answer | How many digits are used for the page numbers in a book that has $$325$$ pages? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence between Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | cf5ba5b483a144138738a1737ed5a419 | 1 | short_answer | How many ways are there to rearrange the letters in the word \textquotesingle STATISTIC\textquotesingle{} if no two T's are next to each other? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 46cef24404be44039ae2dc1b54fadeb2 | 1 | short_answer | In the first week of the screening of a new film a cinema sells $$2140$$ tickets. In the second week it sells $$320$$ less tickets than the first week. In the third week it sells $$210$$ less tickets than the second week. How many tickets are sold over the three weeks\textgreater{} ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 0d3504aeda6446b2821326f127f1ec2d | 1 | short_answer | $81+81\div9+110=$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | fdb8c2ece83d4d068bfb7949b80be75f | 1 | short_answer | Work out $$58+127$$ Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | ab88cfc915d14fbb80689295c573dfcb | 1 | short_answer | I bought a packet of fruit gums and ate $$2$$ of them, secretly, in my Music lesson. At break, I shared one third of the remaining fruit gums with my friends. I then finished the fruit gums, eating an equal amount in each of the next four lessons. What is the smallest number of fruit gums there could have been in the packet? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 3330453138ae4958abd914a2a7448912 | 1 | short_answer | How long will Sally need to complete a $450-$pieces puzzle, if she complete on average $50$ pieces per hour? | [
"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 | 7aa2c65cbce244dcaa12d38ff857c220 | 1 | short_answer | Sarah had $$20$$ more Pokemon cards than Mark. Sarah bought $$16$$ extra Pokemon cards today, and she had $$3$$ times more Pokemon cards than Mark had. How many Pokemon card Sarah had before buying new cards today?~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple->Differences and Multiples of Two Variables->Indirect Difference and Multiples of Two Variables"
] |
2023-07-07T00:00:00 | 81087fa894824da4b6c11846677ddcec | 0 | short_answer | Round $418$ to the nearest $10$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers"
] |
2023-07-07T00:00:00 | 36b223a5a83d47b19a34d4a0c5a1649d | 2 | short_answer | Calculate 17+18+29+6= | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 308a277543c04ae090ebdf3f5bdc0324 | 1 | short_answer | Divide $(2018-20 + 18)$ by $8$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 8f01d238435847a7a31b2925c68c14ab | 1 | short_answer | An explorer finds $$4$$ treasure chests and $$9$$ different keys. Given that each chest can only be opened by $1$ key, then how many attempts at most does the explorer need to make to open all the treasure chests? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition"
] |
2023-07-07T00:00:00 | 6f69d6a468eb423cb027c930d2635209 | 1 | short_answer | $$527\times8$$ | [
"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 | 6e38f6f4ee8843d096766411ae11499d | 0 | short_answer | Work out: $$2.98\times23$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
2023-07-07T00:00:00 | ab508b1e2f9a4215994ac2d9ef293ffd | 1 | short_answer | What is the missing number in the number pattern below? $$2945$$, $$3445$$, $$3245$$, $$3745$$,~\uline{~~~~~~~~~~}~, $$4045$$, $$3845$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences"
] |
2023-07-07T00:00:00 | 51e3e0dca7794d3eaec40de5cb8e99fa | 1 | short_answer | Find the value of $${{1}^{2}}+{{3}^{2}}+{{5}^{2}}+\cdots +{{25}^{2}}$$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | c96e5aeffc5c4914b430832baafb7a02 | 1 | short_answer | $$2 \times ~h = 25 + h$$ What is $$h$$? | [
"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 | 17b66351b21c4cb391ca2267e3a54abf | 1 | short_answer | What is the largest 2-digit number that can be divided by both 3 and 5? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | 9691b4fae60c4d1e9e827ad0a388037a | 1 | short_answer | $15\div\dfrac{1}{7}=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"
] |
2023-07-07T00:00:00 | 8abec5f9b93a4a2eb3f0ab042e5a2ec4 | 1 | short_answer | Judy\textquotesingle s dad was gathering mushrooms for a total of two hours. During those two hours, he gathered $$40$$ mushrooms in total. If he could have gathered $$26$$ more mushrooms in the first hour, the number of mushrooms that he gathered in the first hour would be equal to the number of that in the second hour. How many mushrooms did Judy\textquotesingle s dad gather in the second hour? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 36eb6fb5682347a586edc281a6c0df91 | 1 | short_answer | You bought a car for $20,000$ dollars. The car depreciates at the rate of $10 \%$ per year. Find the value of your car after $6$ years. ($0.9^{6}=0.531441$ and $1.1^{6}=1.771561$) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Interest Problems"
] |
2023-07-07T00:00:00 | 28ab82b7bb864d0cae94f2ab3cd7c918 | 1 | short_answer | There were $$4$$ times as many women as men at a dessert party. Each woman ate $$2$$ mini cupcakes and each man ate $$5$$ mini cupcakes. If they ate $$182$$ mini cupcakes in total, how many women were there? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | fb6a59597d654291bed01b4df12ecc2a | 1 | short_answer | 11 ten-cent coins are placed in a row touching one another as shown. Each coin measures 1.85 cm across. What is the total length of the row of coins? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 870378fe08e54c25879633bc63dcfb58 | 1 | short_answer | In an arithmetic sequence of $14$ numbers, the $1$\textsuperscript{st} number is $5$; the $2$\textsuperscript{nd} number is $8$; the $3$\textsuperscript{rd} number is $11$, and so on. Find the sum of the arithmetic sequence. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | a98be4f6b8d9491eb39649d9e6370466 | 0 | short_answer | Round $$5345$$ to the nearest $$100$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Rounding Numbers"
] |
2023-07-07T00:00:00 | 935623bcdc6a4872838561b5773ef917 | 0 | short_answer | Find the value of □: $\frac{{3}}{{12}} = \frac{□}{20} $，□=~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions"
] |
2023-07-07T00:00:00 | 888087113ad04b5893f98edb9c00188d | 1 | short_answer | Calculate: $12\times(15-9)+24\div(10-6)$= | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 0e58b9cb1b3b4b438f3c51f0ee11f3f3 | 1 | short_answer | At a workshop, there are $$10$$ participants. Each of them shakes hand once with one another. How many handshakes are there? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 46fe46fdf5be405f973b8d4e6c7447ae | 1 | short_answer | There are $8$ people sitting around a circular table. How many different orders are there for them to sit? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | ccf6b106f5b54dbc953e3d9d6e9d4019 | 0 | short_answer | In the morning, the room temperature of Ethan\textquotesingle s house is $-5{}^{}\circ \text{C}$. At night, the room temperature of Ethan\textquotesingle s house becomes $10{}^{}\circ \text{C}$. What is the difference between temperature in the morning and temperature at night? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | 9223b2da325349b8b26286bfe0d69c61 | 1 | short_answer | What is the last digit of the expression below? $$\underbrace{2\times2\times2\times\cdots\times2}_{2017} \times \underbrace{3\times3\times3\times\cdots\times3}_{2017}$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers"
] |
2023-07-07T00:00:00 | 3ff6ebc4090643778a1addb47fc34433 | 1 | short_answer | Jerome left his ice cream on the table in the kitchen and it attracted many ants. Jerome swept $$\frac34$$ of the ants into his neighbour\textquotesingle s house, and $$\frac25$$ of the remaining ants ran out of the kitchen in fear. However, $$185$$ hungry ants crawled into the kitchen afterwards and in the end, the number of ants in Jerome\textquotesingle s kitchen was twice the number of ants in his kitchen at first. How many ants were in his kitchen at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | 15bb7f3dbdea4fa191d64a8c757e2591 | 1 | short_answer | Sandra is $$8$$ years old and her mother is $$33$$ years older than her. What was the difference in their age $2$ years ago? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->Varying Multiples in Age Problems"
] |
2023-07-07T00:00:00 | c3ccc050c32c44daa5991bb6f2a6ba89 | 0 | short_answer | $25\times123\times0.4$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Extracting Common Factors from Decimals"
] |
2023-07-07T00:00:00 | 218eba99b87c41d18d1865559215bc59 | 0 | short_answer | Each book costs $13$ dollars. Candy bought $89$ books on the first day, and bought $$11$$ books on the second day. How much did Candy spend on the books in total? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Extracting Common Factors from Whole Numbers"
] |
2023-07-07T00:00:00 | adf1208d41db4a14bf12a4808bccc462 | 1 | short_answer | $6342 \div 7 =$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 1307cafce9d24303b397ab789e178e8a | 2 | short_answer | Pip writes an arithmetic progression with $8$ terms. The sum of the first four terms is $32$ less than the sum of the last four terms. What is the common difference of this arithmetic progression? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 4ad9c8bc9fdb42738d2d58bfbd0f8c29 | 0 | short_answer | Write down the next number in this sequence $$1$$,$$4$$,$$9$$,$$16$$,$$25$$,$$36$$,$$49$$,$$\cdots \cdots$$ ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Square Number Sequences"
] |
2023-07-07T00:00:00 | ec254d781c2b43cfab681f9a4da37327 | 0 | short_answer | James gave 23 pens to each of his 42 friends. Find out the total number of pens that he gave out. | [
"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 | a59e62d9c9954410934bd68af788363b | 2 | short_answer | Nguyen writes down some numbers according to the following rules. Starting with the number $1$, he doubles the number and adds $4$, so the second number he writes is $6$. He now repeats this process, starting with the last number written doubling and then adding $4$, but he doesn\textquotesingle t write the hundreds digit if the number is bigger than $100$. What is the $2022^{}\text{nd}$ number that Nguyen writes down? (2022AMC 29) | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
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