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timestamp[s] | queId
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stringclasses 5
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2.89k
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|---|---|---|---|---|---|
2023-07-07T00:00:00 | 4bcc90775cce4036a6d6e2de902d15a1 | 1 | short_answer | Gita got the following marks in her ten weekly mental maths tests. $$7$$~ ~$$8$$~ ~$$10$$~ ~$$9$$~ ~$$8$$~ ~$$8$$~ ~$$10$$~ ~$$7$$~ ~$$8$$~ ~$$9$$ What is her mean (average) score? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly"
] |
2023-07-07T00:00:00 | ff03e3e004084b4592ed56380ac4b86f | 1 | short_answer | Find pairs of number to form whole number, then calculate. $6.3+8.7+9.6-2.6=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals"
] |
2023-07-07T00:00:00 | 4cd5315568c9436fb37d857619aade0b | 1 | short_answer | Rose filled up $$4$$ pails with $$4$$\textbf{~}ℓ of water each. After filling up the $$4$$ pails, Rose still had $$7$$ ℓ of water left. What was the original volume of water Rose had at first? The original volume of water Rose had at first was~\uline{~~~~~~~~~~}~ℓ\textbf{.~} | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | eda44d14e12244e89aedc633ee8617cf | 2 | short_answer | Given $${{x}^{20}}{{y}^{15}}{{z}^{5}}=243$$, find the value of $${{x}^{8}}{{y}^{6}}{{z}^{2}}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"
] |
2023-07-07T00:00:00 | e712313031b94278a2ec2b83580cf2ff | 1 | short_answer | Richard is $$12$$ years old. Adam is twice as old as Richard. Will is $$\frac{2}{3}$$ of Adam\textquotesingle s age. What is their total age? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 3eea1e7f99c34f13ba952490fd0e0223 | 1 | short_answer | 46-45+44-43+42-41+$\cdots$+4-3+2-1 $\textasciitilde\textasciitilde\textasciitilde$ $\textasciitilde\textasciitilde\textasciitilde$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 21dff506ecab4714a6d9d8ea21b7f020 | 3 | short_answer | Expand and solve the equation:~$5\left( 6c-1\right)=-35$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers",
"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 | 899f31b2d9c747e09ae28a17d893d246 | 1 | short_answer | Two similar books and three identical pencil boxes cost ＄$$42$$.Two similar books and six identical pencil boxes cost ＄$$60$$. How much does each pencil box cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Equivalent Substitution in Equation Word Problems"
] |
2023-07-07T00:00:00 | 6db678cd280949ad907c4ce941d65604 | 2 | short_answer | Let $$A=1\times 2\times 3\times \cdots \times 2008\times 2009\times 2010$$. Reading the digits of $$A$$ from right to left, what is the first non$$-$$zero digit? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Splitting Terms and Finding the General Term->Splitting Terms of Whole Numbers"
] |
2023-07-07T00:00:00 | 0496270f31e94bba8f1297dbcc51925c | 2 | short_answer | CC writes some numbers in the following order: she writes two $1$s, three $2$s, four $3$s, five $4$s, and so on. According to the pattern, what is the median of all the numbers in the sequence when she finishes writting all the $8$s? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | b2e6579890a9418cb8be3cdb1db7fdab | 1 | short_answer | The average height of six players in a basketball team is $150$ $\text{cm}$. Given that the average height of four of them is $2$ $\text{cm}$ lower than the average height of the team, find the average height of the other two players. | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | f38a4b59c2e540cf9e41096b829c82b2 | 1 | short_answer | SASMO 2014 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->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 6c0112d5b52d43b7b55287abd3ead152 | 1 | short_answer | A construction company paved a $$500-$$meter road. If it paved 50 meters each day, how many days did the company need to pave the road? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Simple Work Word Problems"
] |
2023-07-07T00:00:00 | 367be73f540346348ec1e229247db265 | 1 | short_answer | $$x$$ and $$y$$ are two least positive integers which satisfy the following conditions: The product of $$42$$ and $$x$$ equals to the square of $$42$$. Factoring the product of $$42$$ and $$y$$, all factors\textquotesingle{} exponents equal to $$1$$. So what is the sum of $$x$$ and $$y$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"
] |
2023-07-07T00:00:00 | 69408e55202e417bbe0a5c4b1edfebd4 | 0 | short_answer | A cattle eats $$10$$ kilograms of fodder in a day. If it takes $$8$$ cattles $$4$$ days to eat all the fodder in a barn, how many kilograms of fodder was there in the barn originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems"
] |
2023-07-07T00:00:00 | a8613b9533934b1dade8db288f570450 | 1 | short_answer | 1 dog weighs as much as 8 rabbits.~ 1 rabbit weigh as much as 2 chickens. How many chickens weigh as much as 1 dog? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | d893d7be89fe4ab18afad5ace001607b | 1 | short_answer | Larry had some marbles. After he gave $$\frac{5}{12}$$ of his marbles to Mark, $$30$$ marbles to Nate and $$26$$ marbles to Ollie, he had $$35$$ marbles left. How many marbles did Larry have at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 8fa4370c176d41b39b6866f139a48dde | 1 | short_answer | Jess and Jill share some sweets. Jill has six sweets for every five sweets Jess has. Jill gives eight sweets to Jess. Now, Jill has four sweets for every seven sweets Jess has. How many sweets do the girls have altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Multivariate Linear Equation Word Problems"
] |
2023-07-07T00:00:00 | 9a8296da36564b8aa1d283b8fa70dd00 | 1 | short_answer | Bob made $$600\text{g}$$ of sugar solution with a concentration of $$22 \%$$ by mixing some sugar and water. How much sugar did he use (in grams)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 62ddaa1b93c44e7f85b309208c5f28e6 | 1 | short_answer | Suki writes a list of all the whole numbers from $1$ to $99$ inclusive. If she adds up all of the digits which she has written down, what is the total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | 448302e8cd5b46e0b31999de01e48592 | 1 | short_answer | A bakery collected ＄$$1848$$ from selling some pies and cakes. The ratio of money collected from selling the pies to cakes was $$15:7$$. The ratio of the number of pies to cakes sold was $$4 :1$$. A cake cost ＄$$13$$ more than a pie. How many cakes were sold? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | dbf1101a135f495c9943bc0f68400a5b | 1 | short_answer | Jane had £$$4.44$$. She gave a quarter to her friend. How much money did she give to her friend? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 4779c64adc47418a896e55784a17e2cb | 1 | short_answer | What $$5$$-digit number has the following features: If we put the numeral $$1$$ at the beginning, we get a number three times smaller than if we put the numberal $$1$$ at the end of the number? In other words, if you think the answer is the number $$34567$$, then you want the number $$134567$$ to be one third of $$345671$$, but it isn\textquotesingle t, so what\textquotesingle s the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | ee0aa5d3849d485c9f2f52e25183c07d | 1 | short_answer | Today Fred will be exactly $38$ years and $6$ months old. In which year was he born? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 547a49466468412f8777a85ec725c904 | 1 | short_answer | A piece of string is $12.6\rm cm $long. If a piece $3.75\rm cm $ is cut from it, how long is the piece of string that remains? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 532079a764c14bf09bd373b4c7fc5f7c | 2 | short_answer | Solve the following: $${{1}^{4}}+{{2}^{4}}+{{3}^{4}}+\cdots +{{19}^{4}}$$． | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | 750dbb830f534f51927d1d1d3c9f04f8 | 3 | short_answer | Hanson spent~$\tfrac{1}{4}$~of his money and an additional $$$3$$ on a number of CDs. He then spent~$\tfrac{3}{5}$~of the remaining money and an additional $$$6$$ on a number of batteries. Given that he was left with $$$24$$, how much money did Hanson have at first? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 7862ebf4ebee413a94b72306448a771f | 1 | short_answer | Nini uses the six digits $$0$$, $$1$$, $$3$$, $$6$$, $$8$$, $$9$$ to make some numbers (each digit can only be used once). How many different four$$-$$digit even numbers can be made? | [
"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 | 9498ad8ff09a450b88310639f2e5e3b4 | 1 | short_answer | The number of beads Lilian has is between $$40$$ and $$80$$. She can put all the beads into bags of $$4$$ or $$7$$ without any remainder. How many beads does Lilian have? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 6e73517ab45147c1aa9d1e79e8150821 | 1 | short_answer | Calculate $$345 \times ~76$$ | [
"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 | 07ad8fe80a0748e18cb311667f70b91b | 1 | short_answer | Qiqi walks from the library to school at a speed of $$60$$ $$\text{m/min}$$. $$2$$ minutes later, Weiling also leaves for school from the library at a speed of $$72$$ $$\text{m/min}$$. Weiling arrives at school $$4$$ minutes before Qiqi. What is the distance between the library and the school? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | 20b70bb054c14b73a8185f937a535c5e | 1 | short_answer | What is the units digit in the answer to the sum $$9^{2015} + 9^{2016}$$ ? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Extracting Common Factors from Whole Numbers"
] |
2023-07-07T00:00:00 | 16b50c758e404b52b2f26d63ad9b63f4 | 1 | short_answer | In how many ways can $5$ men and $3$ women be arranged in a row if no two women are standing next to one another? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 546dbea8b6cf4aeb804964a448179516 | 1 | short_answer | Grace wants to make a bow and needs to cut two ropes with lengths of $$45$$ cm and $$30$$ cm into small pieces of equal length without leaving any surplus. What is the longest possible length of each piece?~\uline{~~~~~~~~~~}~$$\text{cm}$$ Candy thinks about this and says, "I think the longest possible length of each piece is $$180\text{cm}$$." Is she correct? If not, find the correct solution to the above problem. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | c69955d7ca0b48e1af24e735819ad11b | 1 | short_answer | Marc\textquotesingle s watch is $15$ minutes slow while George\textquotesingle s watch is $7$ minutes fast. If the time on Marc\textquotesingle s watch is $11.50$ a.m. now, what time will George\textquotesingle s watch show in half an hour\textquotesingle s time? | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem"
] |
2023-07-07T00:00:00 | e33cf79397014b3fbccf3f13532fa8db | 1 | short_answer | $$n$$ is the answer to $$525\div25$$. $$n=$$? | [
"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 | 76e017050d7b464cbea52dfef7557a80 | 1 | short_answer | In Think State, the income tax is calculated at $$T \%$$ of the first＄$$30000$$ in annual income. The income tax of any amount above $$30000$$ is taxed at a rate of $$\left( T+3 \right) \%$$. Ryan noticed that the income tax he paid amounted to $$\left( T+1 \right) \%$$ of his annual income. What is his annual income? (Adapted from $$2001$$ AMC $$12$$ Problem, Question \#$$3$$) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Tax Problems"
] |
2023-07-07T00:00:00 | 6fe28da5b56043b6b8b677c81b5c9f70 | 1 | short_answer | Find $45 \%$ of $£540$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | da2ec31a074d412a8b7a5644870d32d5 | 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 | 1c892f5e4d484f6c8248b19f022e669c | 2 | short_answer | A squirrel is starting from the bottom of a 31-metre tree. It could jump up 3 metres each time, but it would fall down 2 metres after every 3 jumps. How many jumps does it take the squirrel 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 | 9ac39bfb7cbf4ddfb0db66bd11dcd812 | 1 | short_answer | Liam attended a Singapore Maths Olympaid (SMO). Liam answered all $30$ questions. For each correct answer, Liam will get $5$ marks. However, for each wrong answer, Liam will deduct $1$ mark. If Liam scored $90$ marks in total, how many questions did Liam answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | 1c1ae09ff91145d8a4f35ba808809f50 | 1 | short_answer | $$A$$ and\textbf{~}$$B$$ are asked to paint a house. $$A$$ can paint the house by himself in $$10$$ hours and $$B$$ can paint the house by himself in $$15$$ hours. How long would it take to paint the house if they worked together? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | ac8d3bc867394370882a34f8da7d69b5 | 0 | short_answer | Use your previous answer to write down $20.14\times4.4$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals"
] |
2023-07-07T00:00:00 | ae8336c2fd0e4359a933990f040a86cb | 1 | short_answer | There are $$12$$ red, $$9$$ blue, $$8$$ yellow and $$3$$ red marbles in a bottle. At least how many marbles must be drawn to ensure that there are $$4$$ marbles of different colours? | [
"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 | 353773f473b443be8571fddf31056166 | 0 | short_answer | A multiple of $$3$$ and $$7$$ is between $$0$$ to $$100$$. It is also two more than a multiple of $$8$$. Find that number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples"
] |
2023-07-07T00:00:00 | d1d60aa85e194b498d447ca654276627 | 1 | short_answer | On 15\textsuperscript{th}~May 2002, Gigi was 45 years old. Jenny was 22 years old on 15\textsuperscript{th}~May 1995. How old was Jenny when Gigi was 22? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | de02c9bb61484cb9a5967b90fb5f9477 | 1 | short_answer | The first term of a sequence is $$50$$, the second is $$46$$ and the third is $$42$$, and so on. How many positive terms are there in this sequence? Answer:~\uline{~~~~~~~~~~}~ | [
"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 | a42c9894b8224a81a0f9cfb0f1077f4c | 0 | short_answer | $$1.29\times1000$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Move the Decimal Point to Change a Number’s Value"
] |
2023-07-07T00:00:00 | e8dbdad37fe840819b36a79b108b7bcc | 1 | short_answer | If a $$9$$-digit number $$\overline{20190406A}$$ is divisible by $$9$$, find the value of $$A$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 9be7c60631db43ffa0e913650c7d7c6b | 1 | short_answer | (UK St Paul's Girls School Sample Paper Section $A$ Question $$11$$) Write one number which fits all three of these statements: It is a multiple of $3$ It is a multiple of $8$ It ends in `$2$' | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | c8cbb563970b472ca93e23b6fef1e7dc | 0 | short_answer | $2.5\times7\times4$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Extracting Common Factors from Decimals"
] |
2023-07-07T00:00:00 | 853aa802a45a48ae9162dda36b40c38c | 2 | short_answer | Pip has forgotten the last of the four digits of the code for his bicycle lock. He knows that the first three digits are $$451$$ and that the code number is a multiple of $$3$$, but is not a multiple of $$5$$ or of $$9$$. What is the last digit? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 35ecce2854094a7ab058c59fade67c60 | 1 | short_answer | Daniel spent three weeks preparing and writing a presentation on whales. He began work on the project on the $$15$$\textsuperscript{th} May. What date did he finish the project? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time"
] |
2023-07-07T00:00:00 | 78ede9ed721a48f2b277058be8293b71 | 1 | short_answer | Evaluate the following and round off to the nearest $3$ decimal places: $\frac{-6.94-\sqrt[3]{9.604}}{\sqrt{\frac{44.541}{67}}-\left(-\frac{377}{6}\times 1\frac{2}{3}\right)}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers"
] |
2023-07-07T00:00:00 | 5caa8c8d8485429793ce2c81b896b975 | 0 | short_answer | The fruit store buys in $12$ apples for sale and the staff wants to divide those apples into two groups. Each group has at least $1$ apple and every group has different number of apples. If every apple is the same, how many different ways are there for the staff to divide? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | b9f0a0188fd34cb597620588c14138ba | 1 | short_answer | A ship travels at a speed of $$25$$ km/h in still water. The speed of the current is $$3$$ km/h. How long will it take the ship to travel $$140$$ km downstream? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Travel Word Problems of Boats",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 7c20e08dc4ee4e90b36a5ebc67c30bf0 | 1 | short_answer | In the summer sales, prices of items are reduced by $$15 \%$$. What would be the sale price of a coat that originally cost £$$30$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts->Discount Problems"
] |
2023-07-07T00:00:00 | 742450894fd54f4eb51a1b84280864eb | 1 | short_answer | Bud wants to buy five bracelets at £0.99 each and two birthday cards for £1.98. How much does these cost her altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 66967fd57a7c491592192fe52883de6a | 1 | short_answer | Fatimah paid ＄$$12.15$$ for $$2$$ similar cans of drink and $$3$$ similar cupcakes. If each cupcake costs ＄$$3.25$$, how much does $$1$$ can of drink cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | 2a035f2d1ebc482193f41e5de7e3022d | 2 | short_answer | Olivia participated in a calculation skills competition. There are $$20$$ questions in total. Every question she get correct, she will earn $$5$$ points. If she answer wrongly, she will lose $$2$$ points. In the end, she score a total of $$51$$ points. How many question she answer correctly? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | b811cf9ea3a34145953b30f3ef9f811c | 1 | short_answer | The Road Authority decided to use a new system on traffic lights. The traffic lights are arranged such that $3$ traffic lights turn green at the same time every $9$ minutes. The first traffic light changes lights every half a minute and the second traffic light changes lights every $0.75$ minutes. Determine the shortest possible time the third traffic light takes to change lights, considering that it should be at least $30$ seconds or longer. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples"
] |
2023-07-07T00:00:00 | d8bd98baadc745c5867262a1f291c0c0 | 2 | short_answer | Tour groups $$A$$ and $$B$$ were taken to Sentosa by buses.~ Each bus can seat $$36$$ people.~ After occupying all the seats in some buses,~ $$11$$ members from group $$A$$ had to combine with the remaining members from group $$B$$ to take up all the seats in another bus.~ When they reached Sentosa,~ each member of tour group $$A$$ took a picture with every member of group $$B$$.~ If each roll of film can take $$36$$ pictures,~ how many more pictures can the last roll of film take after all have taken the photograph? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations->Basic Operations of Combinations",
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems->Indefinite Equation Word Problems"
] |
2023-07-07T00:00:00 | c48000b870b0411c9680bd0939cc2c12 | 1 | short_answer | Write down the next number in this sequence $8, 20, 31, 41, 50,\cdots \cdots $. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Double Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 933caaafe98a48ce8e5379db15d6d8f0 | 2 | short_answer | The \textbf{mean} of the following eight numbers is $$5$$. Find the missing number. $$9$$~ $$1$$~ $$7$$~ $$4$$~ $$3$$~ $$6$$~\uline{~~~~~~~~~~}~$$8$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication"
] |
2023-07-07T00:00:00 | 976b95e20676470a955c0924996ff02d | 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 returns to $$A$$ is~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 30b87370b94246ef86d748c09d9b63b4 | 1 | short_answer | This~year,~the~age~of~Daniel~is~four~times~that~of~Ming. Six~years~later,~the~sum~of their~ages~is~62~years~old.~How~old~is~Daniel~this~year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | 734f5828407148b5a9e8d2668afc7458 | 1 | short_answer | Which number between $$60$$ and $$70$$ is divisible by both $$7$$ and $$9$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division within the Multiplication Tables"
] |
2023-07-07T00:00:00 | 26bb5c0bcd0e4e05994c3b21387ff92f | 1 | short_answer | This examination paper weighs $25\text{g}$. If $250$ girls sit the paper today, what will be the total weight of all their answer sheets? Give your answer in kilograms. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Simple Multiplication Applications",
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight"
] |
2023-07-07T00:00:00 | 21e75f5992e7425ab944a24b2a56d916 | 1 | short_answer | Nicola has four number cards, and each number can be used only once. $$\boxed{1}\textasciitilde\textasciitilde\textasciitilde\boxed{2}\textasciitilde\textasciitilde\textasciitilde\boxed{8}\textasciitilde\textasciitilde\textasciitilde\boxed{9}$$ She arranges them to form two $$2$$ digit numbers. She multiplies the numbers together. Calculate the largest possible answer. | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value in Enumeration Problems"
] |
2023-07-07T00:00:00 | 75d9330dae2941ad9484a74e2379bd60 | 1 | short_answer | In a fun sports game, some people form a $$3$$-meter-long line to run across two bridges at the same speed. The first bridge is $$9$$ m long. It takes the line $$8$$ s to entirely cross the first bridge and $$10$$ s to entirely cross the second bridge. How long is the second bridge in meters? | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Word Problems of Trains"
] |
2023-07-07T00:00:00 | 5127cf4b12c348eeaec2b82e72f95ae5 | 1 | short_answer | Find the value of the following expression. $${{1000}^{2}}-{{998}^{2}}+{{996}^{2}}-{{994}^{2}}+{{992}^{2}}-\cdots +{{8}^{2}}-{{6}^{2}}+{{4}^{2}}-{{2}^{2}}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables"
] |
2023-07-07T00:00:00 | ac7f27e33493434bb1574b2c4a2d01c2 | 1 | short_answer | Given that the product of three consecutive \textbf{even} numbers is $2688$. Find the largest one among these three consecutive even numbers. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | 8ac10a7ccfe44215b75cf06a67533c06 | 1 | short_answer | Deric started playing computer games at $$11.55\rm am$$. He stopped playing at $$1.40 \rm pm$$. How long did he play computer games? Give your answer in minutes. | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | d33e99d3f1614fde81acb0bcf2ddf29a | 1 | short_answer | During sports day, the kids in P1 class stand in 2 rows. There are $11$ people on Crystal\textquotesingle s left side and $7$ people on her right side. There are~\uline{~~~~~~~~~~}~people in P1 class. | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Queuing Problems"
] |
2023-07-07T00:00:00 | 699943037ddb46d287bd76abad9b6da4 | 4 | short_answer | （AMC 2018 Question \#27） A teacher wants her students to guess the three-digit number that she is thinking. She gives these clues: \textbf{• It is divisible by both 3 and 11.} \textbf{• If you subtract one, the result is divisible by both 2 and 7.} Which number is it? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Multiple Variables"
] |
2023-07-07T00:00:00 | fc44184a4b6a4decbe05a477d57fc9ed | 0 | short_answer | Maddy has $10$ cupcakes and she wants to divide them into two groups. Each group has at least $1$ cupcake and every group has different number of cupcakes. How many different ways are there for Maddy to divide? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 35cc2d1e692e433a9edb2ca57099c016 | 1 | short_answer | How many factors does $$224$$ have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Theorem of the Number of Factors of a Number"
] |
2023-07-07T00:00:00 | e6b14f6552294cf9bfe42605e064c5f3 | 1 | short_answer | Krish\textquotesingle s school day starts at $$8.30$$ am. Beforee break, he has three $$45$$-minute lessons, with a $$5$$ minute "moving period"~\uline{between}~lessons. Break starts as soon as lesson $$3$$ ends. At what time does break start? Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem->Time Calculation"
] |
2023-07-07T00:00:00 | 889a39026ec84d3e84f3871155b05e7a | 1 | short_answer | There is a $$3$$-digit number, $$abc$$. The tens digit is larger than the hundreds digit by $$5$$. The ones digit is smaller than the tens digit by $$2$$. Half the sum of the $$3$$ digits is the same as the tens digit. What is $$abc$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value"
] |
2023-07-07T00:00:00 | 566f34b38ba04e8f88aa14c24a1773e4 | 1 | short_answer | What is the biggest number that divides exactly into $$28$$, $$84$$ and $$126$$? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules->Simple Questions of Division without Remainders"
] |
2023-07-07T00:00:00 | c81f5752a9034395af391ec11de7b293 | 1 | short_answer | Farmer Andrew\textquotesingle s chickens lay a total of $$65$$ eggs. Each egg box holds only $$6$$ eggs. How many egg boxes will Farmer Andrew be able to \textbf{completely fill} with these eggs? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders"
] |
2023-07-07T00:00:00 | ea7852a3c82f44b998bc40a543ec62cd | 3 | short_answer | Jeremy had a total of $$57$$ $$$5$$ notes and $$$10$$ notes. After he spent $$60$$\% of the $$$10$$ notes and $$25$$\% of the $$$5$$ notes on a bag, he was left with twice as many $$$10$$ notes as $$$5$$ notes. How much did the bag cost? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Complex Money Word Problems"
] |
2023-07-07T00:00:00 | 84ff7543ed7e4cf78a5bf1c71f95827d | 1 | short_answer | Troy had $$5$$ times as many coins as Adam. After Adam took $$24$$ more coins from his mother, Adam had $$\frac{1}{3}$$ as many coins as Troy. How many coins did both of them have altogether at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | dc51c8ed80f14b4fb5ff275cbe1ab05c | 1 | short_answer | Neha won twelve thousand and eighteen pounds in a lottery. Jasmine won three hundred and nine pounds. How much did they win altogether? Give your answer in figures, not words. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers"
] |
2023-07-07T00:00:00 | d44b505766094322ba1d157aa0c69927 | 1 | short_answer | A magician has $$69$$ wands and cards altogether. The number of wands is $$17$$ more than the number of cards. How many wands does the magician have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | a7318cfeb5c6465bbe4c97e1828d60ef | 3 | short_answer | Hanson spent~$\tfrac{1}{4}$~of his money and an additional $$$3$$ on a number of CDs. He then spent~$\tfrac{3}{5}$~of the remaining money and an additional $$$6$$ on a number of batteries. Given that he was left with $$$24$$, how much money did Hanson have at first? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems"
] |
2023-07-07T00:00:00 | 8fc6e7b3c33b401c8a75af3f7886a7a5 | 3 | short_answer | I am a lovely cat. When I multiply the digits of a whole number and the product I get is 8, I put that whole number on my list of favorite numbers. Of the whole numbers from 1000 to 9999, how many would I put on my list of favorite numbers? ~（⭐⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | a3b714dd4cfa4127838d98a3fa713af3 | 2 | short_answer | For a three-digit even number in which the sum of each digit is $$8$$ and all digits are different, how many different three-digit even numbers can be made? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 486b933d7136464ebf2a797cb5af1ae2 | 1 | short_answer | There are $5$ blue, $8$ green and $6$ white beads in a box. At least how many beads must Darrell draw from the box to get $$5$$ green beads for sure? | [
"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 | 4f279967112d4e8291b26b30696f3212 | 1 | short_answer | $$(18\div16)\times (16\times15)\div (5\times3)$$ = | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 2ccb49f86adf445b9ee2629356df536a | 2 | short_answer | A multiple of $5$ is between $6$ and $54$. It is also one less than a multiple of $7$. Find that number. | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 57bbf7c2710645ddb501b125a1011400 | 1 | short_answer | Write the missing number to make this correct. $\frac{1}{4}$ of $16$ $=\frac{1}{2}$ of~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | a671b7c0ccab40f5bd855f933009765d | 2 | short_answer | There are $$16$$ people participating in a knowledge quiz contest. The $$16$$ contestants are divided into $$4$$ groups, and within each group, single round-robin tournament rules will be used. After the group stage, each group produces $$2$$ winners to advance to the knockout round, where the single elimination rule prevails for the win or loss of every two people. The top $$8$$, top $$4$$, top $$2$$, the winner, the runner-up, the third place and the fourth place are determined then. How many games are played throughout the contest? | [
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 88fc6c95b74d4d2fac199a6028657150 | 1 | short_answer | $$A$$ is twice as good a workman as $$B$$ and is therefore able to finish a job in $$12$$ days less than $$B$$. If they work together, in how many days they can complete the whole job? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Collaborative Work Word Problems"
] |
2023-07-07T00:00:00 | 84324bf350214be1afe8ddd33f8aafd5 | 2 | short_answer | （UK Emanuel School Entrance Examination Year $7$ Entry Question \#$28$） When a number is divided by $5$ there is a remainder of $1$. When the number is divided by $6$ there is a remainder of $1$. But when the number divided by $11$ there is a remainder of $0$. What is the smallest possible value of the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Chinese Remainder Theorem with Constant Remainder"
] |
2023-07-07T00:00:00 | 81791dec21a04fdeb351302cab2f3155 | 0 | short_answer | How many numbers are there in the sequence below? $2$, $6$, $10$, $14$, $18$ and so on, as far as $58$ (including the number $58$). | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences"
] |
2023-07-07T00:00:00 | b69502e313be4bbcab0a850bb20d73b1 | 1 | short_answer | Rachel and Alice have some candies. If Rachel gives Alice $10$ pieces of candy, then they would have the same number of candies. However, if Alice gives Rachel $10$ pieces of candy, Rachel will have $4$ more than $3$ times of Alice\textquotesingle s. How many pieces of candy did they have in total originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 7196414549e64d5ca1eabc28ed2a8caa | 1 | short_answer | There are $$9$$ different potted plants in a garden. In how many ways can $$4$$ potted plants be arranged in a row? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Questions Involving Permutations and Combinations "
] |
2023-07-07T00:00:00 | e103c3656a5446f89488050c094e88fb | 1 | short_answer | A group has 25 people, and each person likes at least one of banana and apple. 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 | bf578d94e713400d83f878025fcbf395 | 1 | short_answer | Roger had some stickers. He gave away $$76$$ stickers to his brother. His mother bought him another $$65$$ stickers. He had $$489$$ stickers in the end. How many stickers did Roger have at first? | [
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Whole Numbers->Adding and Subtracting within 10000->Subtracting 2-digit Numbers from 3-digit Numbers ",
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
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