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english_AAAI_Math

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short_answer

When Grey was born, his father was $$30$$ years old. This year, the age of Grey\textquotesingle s father is three times that of Grey\textquotesingle s age. Grey\textquotesingle s father is~\uline{~~~~~~~~~~}~years old this year.

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0

short_answer

Pip has some apples which are 5 times as many as Bud. Can you draw the "parts" graph?

2ee25cfde76549e8a74f4b49a19e6576

2

short_answer

Find the value of $$10\times \left(\frac{2998+2999+3000}{2997+2998+2999+3000+3001}\right)$$.

5e6155d2b3e346cbbc38976ee85ef798

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short_answer

Jimmy puts $$35$$ books on$$\textasciitilde4$$ layers of his bookshelf. What is the least number of books on the layer with the most books?

0875b88ce12741689decc2618d2990ae

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short_answer

The front row of a theatre has $$48$$ seats and every other row has four more seats than the row in front. There are $$80$$ seats in the last row. How many seats are there \textbf{altogether} in the theatre?

a9ce794d4d724087ae8161cbe09c09a1

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short_answer

How many different three-digit numbers can be formed using the numbers $$3$$, $$6$$, $$9$$?（without using the same number two times like $$33$$）

2dd0df0b47f04bfb8660c7f9d1f7eab6

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short_answer

What is the sum of $0.12+0.345+0.6789$?

3a9016a2cfba4bf48567281430e8ea9b

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short_answer

Calculate: $3\times37\times9$

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short_answer

How many different three-digit numbers can be formed using the numbers $$ 0$$, $$1$$, $$2$$ ?

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1

short_answer

There are $$523$$ cows and $$172$$ pigs on the farm. How many cows are there than pigs?

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1

short_answer

Dividing a certain number by $$3$$ leaves a remainder of $$1$$; dividing it by $$5$$ leaves a remainder of $$3$$; dividing it by $$7$$ leaves a remainder of $$5$$. Given that the number is between $$100$$ and $$200$$, what is its possible value?

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short_answer

A division gives a quotient of $$12$$ and a remainder of $$3$$. What is the minimum value of the dividend?

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short_answer

Betty, Veron, Eliza sold a total of $$855$$ cookies on National Girl Scout Cookie Day. Eliza sold twice as many cookies as Veron. Betty sold $$185$$ fewer cookies than Eliza. How many cookies did Betty sell?

72bf22ed00544452be7c9b7e3e3c9ea5

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short_answer

In three years from now, Hazel yel be yyears old. Jessica is 3 years younger than Hazel. What will be their total age next year?

2927ab094a1741819a4e2a25ebabc6e7

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short_answer

65\%~ ~65\% of the animals in a farm were cows and the rest were goats. When 240 more cows and goats were added to the farm, the percentage of cows increased by 20\% and the number of goats doubled. How many goats were there in the farm at first?

d3a62f3a2a154a3d9ba934079c4f679d

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short_answer

Jennifer is assembling a wardrobe. The measurements for the $3$ sections are given in different units. The first section is $30$cm wide; the second section is $1.5$m wide and the third section $150$mm wide. How wide is the whole wardrobe? Give your answer in cm.

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short_answer

Melanie is $$8$$ years old. She asked her uncle about his age. Her uncle replied, "When you reach my age, I will be $$38$$ years old." How old is her uncle?

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1

short_answer

What percentage is $15\text{p}$~out of £$3.00$?

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short_answer

$$50$$ students stand in a line facing the teacher, and report the number from left to right one by one: $$1$$, $$2$$, $$3$$, .. etc. After reporting, the teacher asks students who reported multiples of $$4$$ turn backwards. Then let the students whose reported number is a multiple of $$6$$ turn backwards. How many students are still facing teachers?

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short_answer

Katy is going to the cinema to see a fifilm that starts at $$3.25$$pm and lasts $$108$$ minutes. At what time will the fifilm end? Write your answer using the $$24$$-hour clock.

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short_answer

If the degree of the monomial $-x^{3}y^{2n}$ is $5$, find $n$.

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1

short_answer

Calculate 18+3-8+17=

2f1be30621994420880174e39997c979

1

short_answer

$2\frac{3}{8}+6\frac{9}{12}+1\frac{14}{16}=$~\uline{~~~~~~~~~~}~.

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short_answer

Amy is $15$ years old this year. Amy\textquotesingle s age $5$ years ago is same as her sister\textquotesingle s $3$ years later. Question: How old is her sister now?

eef4ade5677a43a4ae0df6aeeb38fe6e

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short_answer

A deck of cards has $4$ suits. Each suit has $13$ cards, namely $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$,$10$, $J$, $Q$ and $K$. How many cards must you draw at one go to ensure that there are two cards of the same number or letter?

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1

short_answer

The sum of the digits of an even $$3$$-digit number is $$21$$. What is the smallest possible such $$3$$-digit number?

d853853301cf40d6a725ec4ab3774957

1

short_answer

Calculate: $\left( \frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\cdots+\frac{1}{20}\right)+\left( \frac{2}{3}+\frac{2}{4}+\cdots\cdots+\frac{2}{20}\right)+\left( \frac{3}{4}+\cdots+\frac{3}{20}\right)+\cdots\cdots+\left( \frac{18}{19}+\frac{18}{20}\right)+\frac{19}{20}$.

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1

short_answer

$\frac{3}{5}$ of a sum of money is $18$p. Find the whole amount.

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1

short_answer

$$423 \times 72 =$$

52a86fa066cb48858c6bc524eece5782

1

short_answer

Find $x$， if $3x + 5 = 20$

44f2ee1889614bbfb19535bdd92da120

1

short_answer

SASMO 2017 What is the smallest two---digit number that can be divided by 3 and 7?

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1

short_answer

Lavi spent $$ $156$$ in total on some cacti and sunflowers. He bought $$6$$ more cacti than sunflowers. Each cactus costs $$ $2$$ and each sunflower costs $$ $7$$. How many cacti did he buy?

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short_answer

Sarah bought $$8$$ books and $$3$$ pencils. Rebecca bought $$3$$ books and $$8$$ pencils. Sarah paid ￡$$1.00$$ more than Rebecca. A pencil cost $$40$$p. How much was a book?

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short_answer

$$\left( {{2}^{2}}+{{4}^{2}}+\cdots +{{18}^{2}}+{{20}^{2}} \right)-\left( {{1}^{2}}+{{3}^{2}}+\cdots +{{17}^{2}}+{{19}^{2}} \right)=$$~\uline{~~~~~~~~~~}~．

d7bced643fdd4eb6bdc74acb29830ef9

1

short_answer

A bottle contains 17 litres of water. I pour exactly 2 litres into each of 6 jugs. How much water is left in the bottle?

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2

short_answer

Liverpool F.C and Manchester United F.C are having a football match in the stadium. At first, there are $$1000$$ more Liverpool fans than Manchester United fans in the stadium. $$30$$ minutes later, $$472$$ Liverpool fans, and $$4836$$ Manchester United fans enter the stadium. The number of Manchester United fans is $$3$$ times that of Liverpool fans. How many Liverpool fans are there at first?

4fed3bbe2a4c479fb032cdfa43d46b2d

0

short_answer

$$12.5\times32$$

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2

short_answer

Sarah bought $$8$$ books and $$3$$ pencils. Rebecca bought $$3$$ books and $$8$$ pencils. Sarah paid £$$1.00$$ more than Rebecca. A pencil cost $$40$$p. How much was a book?

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1

short_answer

Andrew got $20$ points in a math competition, and Jack got $18$ more points than Andrew. How many points did Jack get?\hspace{0pt}

da5a959c72974b06be19c4288fbc217c

2

short_answer

There are $$12$$ players in a volleyball team. However, only $$6$$ players are needed for a volleyball match. How many ways are there to choose 6 players from $$12$$ players?

c23d5f0deb8a4bc7a5a92b52a64b5653

1

short_answer

Andy had some money. First, she gave half of the money to her mother. Next, she gave half of the remaining to Bob. Then, she gave half of the remaining to Nini. Lastly, she gave $$2$$ dollars to Mike and she had $$3$$ dollars left. Originally, Andy had~\uline{~~~~~~~~~~}~dollars.

859405caaa7e4a0b9fa498591ea6d75b

0

short_answer

Add together $4867$ and $285$.

15cab5ac2a464bd49b38abf530497521

0

short_answer

$7x+3(x+5)=45$

6e612604c8ff4d42b99013c98deabfdd

1

short_answer

Eddie get some peaches for Class A and Class B. If all peaches are given to Class A, each student can get $5$ peaches and there will be $10$ peaches left. If all peaches are given to Class B and each student can get $8$ peaches, we will need $2$ more peaches. It is known that Class A has $3$ more students than Class B. How many peaches does Eddie get?

8cecf1b760794f42ac5164ddf2ddd1b9

2

short_answer

Find the $$2023^{\text{th}}$$ digit in the number $$12345678910111213\cdots 998999$$.

d564d279579b4412beee324ea716c5ac

1

short_answer

The sum of $3$ numbers is $450$. The first number is $178$. The second number is $69$ less than the first number. Find the third number.

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1

short_answer

The ratio of the number of T-shirts to the number of caps that Siti had was $$8:5$$. The cost of each T-shirt was ＄$$3$$ and the cost of each cap was $$ $5$$. Siti sold $$\frac{{1}}{{4}}$$ of the T-shirts and $$\frac{{1}}{{5}}$$ of the caps. She collected $$ $132$$ for the items she sold. How many T-shirts did Siti have at first?

50cd7efd01b841d298218aea08ed2f91

1

short_answer

Today is $31/12/98$ and tomorrow it will be my llth birthday. How old will I be on $31/12/01$?

68189bcaa99d4e9f9c3e3ce95e7937fd

1

short_answer

What is the smallest odd number that can be written using all the digits $4, 6, 2, 5$ once only?

76be802a2529408ebd6445587693be90

1

short_answer

$$9.95-2.6-3.42$$ =

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1

short_answer

A group of $$40$$ students are on a field trip at the river. In order to cross the river, their teacher, Mr. Linder, is able to send at most $$6$$ students on one boat at a time. How many times at least does he need to send all the students across the river using only one boat?

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short_answer

$$2, 4, 6, 8, 10, \cdots ,$$ is a sequence of consecutive even numbers starting from $$2$$. $$36$$ is the~\uline{~~~~~~~~~~}~(ordinal number) number in the sequence.

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short_answer

Joe has $7$ times as many game cards as Eric. How many game cards must Joe give Eric so that each of them will have $168$ game cards?

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1

short_answer

The natural number $N$ is a two-digit prime number, and the ones-digit and tens-digit of $N$are both prime numbers. How many such natural numbers are there?

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1

short_answer

Hannah is playing a game of cops and robbers with kids. She catches $8$ kids from the park, but $5$ of them run away when Hannah is searching the library. Then Hannah catches $9$ kids from the library. How many kids does Hannah catch in the end?

f0328bec52924f7ea69d1ae80d116453

1

short_answer

It takes me ten minutes to paint a picture. How many pictures could I paint in one hour and twenty minutes?

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1

short_answer

In a game, a number of people stand evenly spaced in a circle. Each person is given a number $$1$$, $$2$$, $$3$$, $$\cdots \cdots$$ Number $$6$$ stands directly opposite to number $$19$$. How many people are playing the game? ~\uline{~~~~~~~~~~}~people

7b92cabf616c4f65bb3f245acc3311d5

0

short_answer

Mina has $$10$$ apples. She wants to split them into $$2$$ groups with different numbers in each group. Find how many different ways she can split.

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1

short_answer

Five students are arranging themselves in a single line to take a picture together. How many ways can the students line up?

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1

short_answer

Anne has more pears than Charlie. If she gives Charlie $$6$$ pears, then each of them would have an equal number of pears. Altogether, they have $$38$$ pears. How many pears does Anne have at first?

6a68efce3a3843c488c04405fe0ad806

0

short_answer

Amy has been swimming $$14$$ times over the summer holidays. Her sister Joanne has only been $$5$$ times. How many more times has Amy been swimming than Joanne?

292666d407aa47a1b8822e94b934f869

1

short_answer

Given that $$\overline{abcd}+\overline{abc}+\overline{ab}+a=1370$$, find the value of $$\overline{abcd}$$.

5f4b4e56afb34cf5a1144d2bc36161da

2

short_answer

Sachin can clean his flat in $3$ hours, and Peter can clean the same flat in $6$ hours. Calculate how long it will take to clean the flat if they work together.

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1

short_answer

Isaac had $$5$$ times as many stamps as Joseph. After Joseph received $$154$$ stamps from his father, Joseph had $$\frac{9}{10}$$ as many stamps as Isaac. How many stamps did Isaac have?

899b1a4b796c49099d270e74392468e4

2

short_answer

How many consecutive zeroes are there in $$1\times 2\times3\times \cdots\times29$$?

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2

short_answer

A positive integer $$N$$ has a base $$8$$ number system of $$N={{(12345654321)}_{8}}$$. Hence for base 10 number system, what is the sum of the remainder of $$N$$ divided by $$7$$ and the remainder of $$N$$ divided by $$9$$?

1bb4ac60011c4f049e418cf89d7b6aca

1

short_answer

Linda and Ted started jogging from two ends of a path towards each other at the same time. When Linda passed Ted, Linda had jogged $$1200\rm m$$. If the speed ratio of Linda to Ted is $3:4$, what was the length of the path?

13bdfa0cc0bf4ec8b5035a9b4a3cba96

2

short_answer

A year is called a lucky year if the sum of its digits is 18. For example, 1917 is a lucky year since 1+9+1+7=18. How many lucky years are there between 2018 and 2108? （⭐⭐⭐⭐）

f4d8b1a7fd8f46d0a9ef67f2bee482c1

2

short_answer

The 5-digit number~$\overline{2018A}$~~is divisible by 9. What is the remainder when this number is divided by 8?

7634476c9aa54ec59121ed35be37a90a

1

short_answer

A group of squirrels are lining up to buy acorns. Squirrel Ryan says that, "There are $$5$$ squirrels in front of me. " Squirrel Elvis says that, "There are $$7$$ squirrels behind me. " Squirrel Ryan is in front of Squirrel Elvis, and there is only $$1$$ squirrel between them. How many squirrels are buying acorns?

be80ef03c92f4f92945f77d21a554dbf

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short_answer

The examination papers of six students were mixed up before they were handed back to each of them. How many different possible ways are there for the students to receive the papers if none of them received their own paper back?~\uline{~~~~~~~~~~}~

ccda4529057344dfb3239b232b55def3

1

short_answer

Solve the equation below. $$6x+3x+2=38+5x-8x$$.

3372b3b3a25d471db3a7b9b84e20d407

1

short_answer

Please simplify the calculation: $$\frac{2019+2018\times 2020}{2019\times 2020-1}$$

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1

short_answer

If $3$ workers take $3$ days to build a wall, how many days will $1$ worker take to build the same wall?

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1

short_answer

Tarita starts a savings account with $$$3600$$ at a bank. The interest rate is $$2 \%$$ per year. How much interest will she get in her savings account at the end of one year?

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1

short_answer

Calculate $25 \%$ of~$64 \text{kg}$

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0

short_answer

Find $x$: $$ \frac{3x+3}{6}= \frac{5x-2}{8}$$

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0

short_answer

\textbf{Unchanged Difference} The ratio of the pupils in School P and the pupils in School Q is 2:3. 240 Primary one pupils were admitted to School P and School Q respectively. The ratio became 3:4 in the end. Find the number of pupils n School P at first.

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1

short_answer

Find $30 \%$ of £$45$

c41136a149b7455588eedcd3638a6d6e

2

short_answer

Find the sum of all odd numbers between $0$ and $20$.

ba12d160c6704062bce29f06d2df0413

1

short_answer

Five years ago, Jack\textquotesingle s age was half of the age he will be in $8$ years. How old is he now?

d1ef65d2af0d48fca0d26f7460c255c2

3

short_answer

Nora spent $$70 \%$$ of her money on a bag and $$\frac{3}{8}$$ of the remainder on a purse. What percentage of her money did she spend on the purse?

ad7c476fa787456a984de908cbf3274a

2

short_answer

Kenny, Timmy and Ron used some straws to make a structure each. Timmy used $$12$$ fewer straws than Kenny.~~Ron used $$20$$ more straws than Kenny. The three children used $$284$$ straws altogether. How many straws did Ron use?

e6126aee30d340e584a91ebb8121b3b4

1

short_answer

How many ways are there to rearrange the letters in the word \textquotesingle EDUCATION\textquotesingle{} if the vowels are never together?

f045ccc90cd4400c86e6a51f2a370f28

0

short_answer

$86.3 + 7$

cda98aa296634bf2a385a6527a02e9c2

1

short_answer

A teacher is going to divide some candy among $$5$$ students, and each student will get $$12$$ candies. Now $$1$$ more student joins the group. How many candies will each student get after the candy is redivided?

1d9d7ae4443a4d1a8f150b0ff35e0812

1

short_answer

As shown in the figure below, in $\triangle ABC$, $m\angle BAC =50^{}\circ$, $BP$ bisects $\angle ABC$ and $CP$ bisects $\angle ACB$. Then $m\angle BPC$ is~\uline{~~~~~~~~~~}~$^{}\circ$

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1

short_answer

Solve the Equation. $$30 \%x+70 \%(20-x)=20\times54 \%$$

a5723a387628481d828499d1c34bdcfc

1

short_answer

SASMO 2014 A shop sells sweets where every 3 sweet wrappers can be exchanged for one more sweet. Sharon has enough money to buy only 11 sweets. What is the biggest number of sweets that she can get from the shop?

60143fac73a641d4afc2cffe6b15a9e9

3

short_answer

In the ancient legend, there are four magical birds: the two-tailed bird (one head and two tails), the three-tailed bird (one head and 3 tails), the six-tailed bird (one head and six tails) and the eight-tailed bird (two heads and eight tails). The number of two-talied birds is 5 more than twice as many as the number of eight-tailed birds. The number of three-tailed birds is 2 more than half the number of six-talied bird. Given that the total number of their tails is 2 less than four times as many as the total number of their heads, and the difference between the total number of their heads and their tails is 241. How many three-tailed birds are there?

44bd36d5b38b44949074bb84feb11ca3

1

short_answer

Natalie arrived at her friend\textquotesingle s birthday party at $$11.40$$ a.m. She stayed there for $$4$$ hours and $$50$$ minutes. What time did Natalie leave the party?

cf273ad7cc974df890c0f43328a5de3e

1

short_answer

What is the smallest two-digit number that can be divided by $5$ and $7$ to get a remainder of 4 ?

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2

short_answer

Renee buy $$5\text{kg}$$ of sweets to sell. She pays £$$10$$ for the sweets. Renee puts all the sweets into bags. She puts $$250\text{g}$$ of sweets into each bag. She sells each bag of sweets for $$65p$$. Renee sells all the bages of sweets. Work out her percentage profit. ~\uline{~~~~~~~~~~}~$$ \%$$

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1

short_answer

Add together the numbers: $1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10$

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1

short_answer

$421\times 11=$~\uline{~~~~~~~~~~}~.

4683962764924f4684ed92eb7591a368

1

short_answer

Ayton, Beeton, Ceeton and Deeton are four towns. Four roads link Ayton to Beeton. Five roads link Beeton to Ceeton. Six roads link Ceeton to Deeton. There are three roads link Ayton to Deeton. How many different ways are there from Ayton to Deeton?

1eb4f3669f2a43a5ba508ec8beae550e

0

short_answer

Find the value of □: $\frac{{15}}{{20}} = \frac{3}{□} $，□=~\uline{~~~~~~~~~~}~.

37136a98a87e4ccc8a809b51309fdb50

1

short_answer

A sequence of numbers is formed by always adding the same number to get the next number in the sequence. The $10^{th}$~number in the sequence is $23$ and the $15^{th}$~number is $38$. What is the $12^{th}$~number?

29a1fb0ba439450d99b96fff93b44d3a

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short_answer

Find pair of numbers to form whole number, then calculate. $1003.67+108.98+9.08+102.33+32.02-3.08=$

5faf0bb3bd074227a53f6f2ca2666324

3

short_answer

The whole numbers from $$1$$ to $$2016$$ inclusive are written on a blackboard. Moritz underlines all the multiples of two in red, all the multiples of three in blue and all the multiples of four in green. How many numbers does Moritz underline exactly twice?