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e099576e4e594256ae673a9a633c5f85

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Given whole numbers $$A$$ and $$B$$, the operator $$*$$ is defined as $$A*B=(A\times B)+(A+B)$$. For example, $$5*2=(5\times2)+(5+2)=10+7=17$$. Find the value of $$a$$ if $$a*a=399$$.

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Ben is $$20\text{cm}$$ shorter than his sister Sally. Ben is $$110\text{cm}$$ tall. How tall is Sally?

7a70eb04e5694b2f959619353709df11

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short_answer

At the school fair, $$\dfrac{3}{5}$$ of the visitors were children. $$\dfrac{1}{2}$$ of the remaining visitors were men. There were $$140$$ more children than men. How many visitors were there at the fair?

a59a1a5e7bb041eeba8b3ee3076a0168

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Justin forms two numbers with the digits $$1$$, $$3$$, $$4$$, $$6$$, $$7$$ and $$8$$. Both numbers have three digits, and each digit is used only once. He adds up these two numbers. What is the greatest sum Justin can get?

4ca9bdd241ae40399356da6f218dbb41

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$360$ $\div$ ($70$-$4$ $\times$ $16$)

1b35f91f96ce4f3c9d7ed9202f8cdf3f

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(UK $2019$ Ratcliffe College $11+$ Maths Specimen Paper B Question \#$12$) If you drink $350$ millilitres from a $2$ litre bottle of Cola how much is left ?

6f30ded079154369a2666ef1c735c804

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Find $40 \%$ of $3280$

2baa1f80095e4ef99463beca11920717

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Some animals live on a grassland. The amount of new grass that grows each day is constant. If there are $20$ horses, they can eat all grass in $12$ days. If there are $60$ sheep, they can eat all grass in $24$ days. The amount of grass that a horse eats per day is equal to that $4$ sheep eat per day. $12$ horses and $88$ sheep can eat all grass on the grassland in~\uline{~~~~~~~~~~}~days.

faea17ac401e48f69feca7264a676aa1

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short_answer

Morgan has written down a number pattern with two rules alternating with each other. What number should come next? $$1$$~ ~ ~ $$8$$~ ~ ~ $$16$$~ ~ ~ $$23$$~ ~ ~ $$46$$~ ~ ~ $$53$$~ ~ ~ \ldots\ldots{}

e069b4976d444e998bace1344680903f

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short_answer

There are three inlet pipes $A$, $B$, and $C$ in a pool. If only $A$ and $C$ are turned on, the pool can be filled from empty and $18$ tons of water are from $A$. If only $B$ and $C$ are turned on, the pool can be filled from empty and $27$ tons of water are from $B$. Given the flow rate of $B$ is twice that of $A$, how many tons of water can the pool be filled up with?

77d56c10f2874a70a787b5301834ff74

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short_answer

Kevin gets paid $£500$ for each match he plays plus $£100$ for each goal he scores. In a season he plays $20$ games and averages two goals per game.How much does he earn over the season?

15d47923017f46819afb2823ad09cc4f

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$125\times33\times8=$~\uline{~~~~~~~~~~}~

8521e58090644e50b36a4c1538e31de9

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short_answer

Mike bought $$8$$ kilograms of oranges from Costco for a total of $$26.8$$ dollars. How much did each kilogram of oranges cost?

92c3ddc959274727b4fd914c29d362cb

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short_answer

If M, A, T and H are different digits such that MATH+HTAM=12221, what is the value of A+M+T+H ?（⭐⭐⭐）

8ede2732f5484360930b19455debcec8

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short_answer

The operation "☀" is defined as, $1$☀$6 = 1 + 3 + 5 +7 + 9 + 11 = 36$, $2$☀$3 = 2 + 4 + 6 = 12$ , $3$☀$5 = 3 + 5 + 7 + 9 + 11 = 35$ . According to the rules above, calculate: $1$☀$10$.

519388df35614f98adbf4fccf30c1f5e

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How many three digit numbers contain at least two sevens?

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How many numbers are there from $5$ to $10$?

ec0dc6144d204d6c943bc67a1de14ef9

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A box of $16$ golf balls costs £$19.20$. How much does one golf ball cost?

ba1ea0471abe4147b19a80a73dee7d82

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Cindy had a total of $$55$$ pieces of $$$2$$ and $$$5$$ notes at first. She spent~$\tfrac{1}{3}$~of the number of $$$2$$ notes and received another $$8$$ pieces of $$$5$$ notes from her father. After that, the number of $$$5$$ notes she had was~$\tfrac{3}{7}$ of the remaining number of notes. How much money did Cindy have at first?

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short_answer

In a doctor\textquotesingle s waiting room, there are $$6$$ seats in a row. Mr Spencer arrives with his $$2$$ children. He wants to sit between his $$2$$ children. $$3$$ other people arrive who do not mind where they sit. How many different possible seating arrangements are there of the $$6$$ people?

db79add64b5e4e55bd1c4d7204bfe7d4

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short_answer

Bill has a bag containing $60$ sweets. He eats a half of the sweets himself and then gives away a third of the sweets that remain. How many sweets does Bill have left?

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short_answer

What number is halfway between $$1.9$$ and $$1.99$$?

120862b4815543c8aca7421dc70a00e8

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short_answer

There were $$6$$ questions in a mathematics competition. $$5$$ marks would be awarded for every correct answer. $$2$$ marks would be deducted for a wrong answer. If Valerie scored $$23$$ marks in the mathematics competition, how many questions did she answer correctly?

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short_answer

Suppose $$A$$, $$B$$ and $$C$$ are whole numbers such that $$A\times B=24$$ and $$B\times C=52$$. What is the smallest possible value of $$A+C$$?

1d9a3128b1db4b549effea458b3678b2

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$$4(x-3)+6x=28$$. $x=$．

c58c161a2a7e4104a3d8b34ae6e39802

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short_answer

My friend\textquotesingle s house is $$56\rm m$$ away along a straight road. I ran to his house one morning at $$7\rm m$$ per minute. How many minutes did I take to run to my friend\textquotesingle s house?

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short_answer

Eight students line up to take a photo. If A, B and C want to stand all together, E and F want to stand next to each other, how many different ways to line them up?

f5c39fd451224811bc9f3fa976367ff8

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short_answer

I think of a number, divide it by $$3$$, then add $$7$$. The result is $$18$$. What was the number I first thought of?

7b25a6fdbf764009abb3fe46b1451b1f

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short_answer

Write down the $$20\rm th$$ odd number.

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short_answer

Diana is producing a batch of scarfs. She plans to finish the task in $6$ days. But if she can produce $24$ more scarfs per day, she can finish the job $2$ days earlier. How many scarfs does she need to produce?

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short_answer

Mr. Lim wants to share some sweets equally among his students. If he is to give each student $$6$$ sweets, he will be short of $$26$$ sweets. If he gives each student $$5$$ sweets, he will be short of $$5$$ sweets. How many sweets are there?

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short_answer

In a school band, the ratio of the number of boys to the number of girls was $$5:3$$. After $$15$$ boys left the school band, the ratio of the remaining number of boys to the number of girls was $$5:6$$. What was the total number of pupils in the school band at first?

3c337534e32542a2a1408abf3137fc73

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short_answer

Here are two ways of making a total of $12$ from three different positive whole numbers: $2 + 3 + 7 = 12$~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~$3 + 4 + 5 = 12$ How many ways are there of making a total of $15$ using three different positive whole numbers ?

53a8834a683e42428e72d56e59ccf186

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short_answer

1. Compute the following series: $$2+4+6+8+10+12+14$$

2bf9d0f65e0c410a9060c2958cf95896

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short_answer

The product $$675 \times B$$ is a square, where $$B$$ is a positive integer. What is the smallest possible value of $$B$$?

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short_answer

In a \textquotesingle third off\textquotesingle{} sale a bike is sold for £$$114$$. How much would it have sold for before the sale?

39d04fb6c8704dc88d3f67c6f0d16d16

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short_answer

$$5$$ years ago, Josh was $$\dfrac{3}{5}$$ as old as Shelby. If the current age of Shelby is $$65$$, how old is Josh now?

1ed9cf1688a143ad9c551e4a3800d10f

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short_answer

Find the product of $10$, $20$, $30$ and $40$.

33ef6b53bcae4073868c3823af12b33b

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short_answer

A multipack of $12$ cans of Ned\textquotesingle s Cola costs £$6.95$. A single can of Ned\textquotesingle s Cola costs $65$ pence if bought individually. Calculate how much cheaper it is to buy a multipack of $12$ cans than to buy $12$ cans individually, giving your answer in pence.

536f036013ab4469bca6f5ad12ae6efc

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short_answer

Find how many numbers between $$3267$$ and $$5120$$ can be formed using the digits $$1$$, $$2$$, $$3$$, $$4$$, $$5$$ and $$6$$, with no digit being repeated.

b50cc1f20ca94e10b645d2097f488894

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short_answer

What is a quarter of £$21.40$?

087f0c0cb6054a9ba715f2fad278b021

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short_answer

Adam, Ben and Carl are weighing themselves. Together, Adam and Ben weigh $$102\text{kg}$$ Ben and Carl weigh $$97\text{kg}$$ Adam and Carl weigh $$93\text{kg}$$ What is their total weight in $$\text{kg}$$? Answer~\uline{~~~~~~~~~~}~

f51139da1a3a4082be80548a0b4d3748

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short_answer

Three apples and a banana cost $32$p. Six apples and a banana cost $53$p. How much does one banana cost?

47f9d71bbd1347aea812d6674ed1a0d8

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short_answer

Alan and Bob can paint a room in $$4$$ hours. Bob would take $$6$$ hours on his own. How long would Alan take on his own? ANSWER~\uline{~~~~~~~~~~}~

19fe1b137a4c47e4a70b3c03766f0a82

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short_answer

What is $$55 \%$$ of $$80$$? ~\uline{~~~~~~~~~~}~

2f235f0788fb43ae81e1809f99c806ca

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short_answer

Judy collected $$310$$ stamps. $$172$$ of them were Singapore stamps while the rest were Malaysia stamps. How many more Singapore stamps than Malaysia stamps were there?

db4169b4944e4cbfbcf68f063aba4c5f

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short_answer

You deposit $500$ dollars in an account that pays $8 \%$ interest compounded yearly. What will the account balance be after $10$ years? ($0.92^{10} \approx 0.434$, $1.08^{10} \approx 2.16$)

098dd57d750645208b9a88bebb06ae3d

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short_answer

Andrew, Kim and Shaun have 256 stamps. Shaun has twice as many stamps as Kim. Andrew has 24 less stamps than Shaun. How many stamps does Andrew have?

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short_answer

Add these two numbers together: ten thousand and twenty four $$$$and$$$$ three thousand nine hundred and sixty eight. Answer:~\uline{~~~~~~~~~~}~

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short_answer

Determine the highest common factor between $84$ and $108$.

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short_answer

Aria\textquotesingle s dog eats $$15$$ $$\text{kg}$$ of dog food each week. How many kilograms of dog food would Aria need to buy to feed her dog for $$26$$ weeks? ~\uline{~~~~~~~~~~}~

8ae98f07396b40058f13ac11affb9784

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short_answer

Pinkie took the midterm exam and got her score back. If she took $30$ points off, she would get the same score as if she halved her original score and then add $10$ to it. What is her original score? Write an equation to solve the question.

508b9d97347440a0b80cafeabef4a947

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short_answer

Mark, Nicole and Peter are running for Head Prefect. $$120$$ students are involved in the voting. Mark has $$22$$ votes so far, while Nicole has $$27$$ and Peter has $$35$$. How many more votes must Peter get to be elected for the position without fail?

eea021c591d7400d80e856a767d07752

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short_answer

Alex and Nicholas have the same amount of money at first. After Alex spent $ $$$58$ on a toy and Nicholas spent $ $$$13$ on a book, the amount of money Nicholas had left was $6$ times that of Alex\textquotesingle s. How much did they have altogether at first?

d5155e4d5ad84669b50a6dc5c2a99d1c

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short_answer

I have a pile of sweets which contains less than 30 sweets. If I put them into piles of 3, I have none left over. If I put them into piles of 2, 4 or 5, I always have one left over. How many sweets do I have?

d1b3edb622a94a938bdd4deb2c79349e

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short_answer

Calculate：$$250-6-6-6-6-6-6-8-8-8-8-8-8$$．

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0

short_answer

Today is $$6^{th}$$ February $$2023$$ and today is a Monday. Which day will it be $$28$$ days later? (Fill in your answer in the following format: Friday $$\rightarrow 0005$$, Saturday $$\rightarrow 0006$$)

0c1b04af51f742999f2ca9765aedb50d

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short_answer

Mrs Lee bought $$600$$ $$\text{g}$$ of flour. She used some of it to bake some cookies. She had $$21$$ $$\text{g}$$ of flour left. How much flour did she use to bake the cookies? She used~\uline{~~~~~~~~~~}~$$\text{g}$$ of flour to bake the cookies.

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short_answer

Find pair of numbers to form whole number, then calculate. $12.35+8.65+9.8-2.8=$

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short_answer

If $a^{}\frac{2}{3}=9$, what is the value of $a$ ?

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short_answer

What is the value of the digit $6$ in $54.016$?

f475d2f1e6f34559b3da9ca1ce9d31ff

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short_answer

$52\div\dfrac{2}{3}$

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short_answer

Some telephone poles were placed along a $$240\text{m}$$ road at regular intervals of $12\text{m}$. No telephone poles were placed at either end of the road. How many poles are there on this road?

3c1879332bf54abaa9acb25e23c4e762

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short_answer

Alison has $$10$$ more pencils than rulers. If she has a total of $$52$$ pencils and rulers, how many rulers does she have?

9d83d1281e9a4e2db5186517aa7ae8eb

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short_answer

The mean of the dataset "$11,13,17,x,12$" is $11$. $x=$~\uline{~~~~~~~~~~}~.

cc51dc96be8d4cb99c8479ff14df80ea

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short_answer

In the number $67379$, what is the difference between the values of the two $7\text{s}$?

8f9071448b334615b680eae78ad6d93f

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short_answer

A meal in a restaurant costs the same for each person. For $11$ people the total cost is £$253$. What is the total cost for $12$ people? Answer:~\uline{~~~~~~~~~~}~

eb0f5add450e4a9ab6a265d98bae439c

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short_answer

A blue dress costs two times as much as a red dress. A yellow dress costs $ $2.40$ more than a blue dress. Hailey bought a blue dress, a red dress and a yellow dress. She spent $ $65.40$ in total. How much does a blue dress cost?

a97ee845f64d4f25b71479ba9826754d

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short_answer

There are 13 red, 10 yellow, and 15 blue marbles in a bottle. How many marbles would you need to take out at least to ensure that you have 4 marbles of the same colour?（⭐⭐⭐⭐）

11e835ed8a2649f0b446fa81c9cd3d23

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short_answer

At Casterbridge Academy, the ratio of boys to girls is exactly $5:6$. There are $200$ \textbf{boys} at Casterbridge Academy. Work out the number of \textbf{girls} at Casterbridge Academy.

0aa9f0da78114b919761155b61de3f58

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short_answer

In the decimal expansion of $\frac13$, find the sum of the first $1000$ digits from the right of the decimal point.

1f3fc787b72e4079adc614b98529d7df

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short_answer

What is $$15 \%$$ of £$$29$$?

027e7a3d49eb4325a8b4a3460e1cc172

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short_answer

There are three containers $$A$$, $$B$$, and $$C$$. Each container has $$30$$ grams, $$40$$ grams, and $$50$$ grams of pure water respectively. Now we put $$10$$ grams of solution of a certain concentration into container $$A$$, then put $$10$$ grams of solution from container $$A$$ into container $$B$$, finally put $$10$$ grams of solution from container $$B$$ into container $$C$$. Given that the final concentration in container $$C$$ is $$0.5 \%$$, what was the concentration of the solution that we put into container $$A$$ originally?

06a3c4c2e5804a44ace159113da6ba05

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short_answer

SASMO 2015 P2 Q12 Sophia is counting by twos. She start at 2 and crosses it out. Each time she counts to a new multiple of 2, she crosses it out on her hundred chart. How many multiples of twos would she have crossed out in her chart when she finishes counting by twos to 100?

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short_answer

The cost of $8$ identical books is £$32$. What is the cost of $12$ books?

0b6bdeab9546405d978d1812c7201565

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short_answer

$$4\times$$~\uline{~~~~~~~~~~}~$$-13=55$$

ec87e304fc2740f28c9d1e303434b7bd

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short_answer

Add together the following, giving your answer as a DECIMAL. $$\frac{2}{5}$$, $$35 \%$$ and $$0.604$$

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short_answer

（AMC 2016 Question \#30） Today my three cousins multiplied their ages together and it came to 2016. This day last year their ages multiplied to 1377. When they multiplied their ages together 2 years ago today, what was their answer?

3af1e296b55d48b081f32a1a006667ef

0

short_answer

In how many ways can five people line up for a group picture if two want to stand next to each other?

e514e8bc1f604e7584c55c9dca3b2fed

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short_answer

The fruit store sold a total of $$33$$ boxes of apples in the first three days of last week, and an average of $$18$$ boxes of apples per day in the last four days. How many boxes of apples did this fruit store sell on average each day last week?

4ecf6dfe09074d81b2c8e57fe42c031f

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short_answer

A $$12$$ $$\text{mg}$$ metal containing $$40 \%$$ nickel was combined with a $$13$$ $$\text{mg}$$ metal containing $$60 \%$$ nickel. Find the percent concentration of nickel in the new metal.

31aa53351e2b49aab72bde2d7ea3c1a2

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short_answer

Find the value of $x$ ：$$9-(x+3)=1$$．

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short_answer

What number is halfway between $$-3$$ and $$8$$? ANSWER~\uline{~~~~~~~~~~}~

c17e0a2b113d46b781b7f26e782fd14f

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short_answer

Eight players are in a Ping-Pong tournament using single round-robin rules. Everyone scores different number of wins (no ties occurred). How many wins does the champion record in the tournament?

ffb4fa57b0eb47ffb07fa2c7f49ef9f4

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short_answer

$15\div\dfrac{1}{7}=$

be0945399c6b4d0dba2ad2baaabb31ad

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short_answer

John was finding the total of the numbers from $$1$$ to $$n$$. However, he accidentally added one number twice, ending up with a wrong total of $$3405$$. What number did he add twice?

5fd6b39e9b3a49549d8336ce20856f59

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short_answer

In an arithmetic progression, the sum of the first $6$ terms is $64$ and the sum of the first $12$ terms is $156$. What is the sum of the first $18$ terms?

f8b94a6a82c7406a83b47ec788b92ca2

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short_answer

（AMC 2020 Question \#27） On my chicken farm where I have 24 pens, the pens were a bit crowded. So I built 6 more pens, and the number of chickens in each pen reduced by 6. How many chickens do I have?

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short_answer

In a division equation, the sum of the divisor, dividend, quotient and remainder adds up to $40$. Given that the remainder is $3$, the number of possible values of $\frac{\text{Dividend}}{\text{Quotient}}$. ~\uline{~~~~~~~~~~}~$\div$~\uline{~~~~~~~~~~}~$=$~\uline{~~~~~~~~~~}~R~\textbf{3}

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short_answer

There are $$146$$ boys and $$94$$ girls in the math club. The ratio of the total number of members in history club to the total number of members in math club is $$7:8$$. How many members in history club?

758d557365b6402ba3525678e7c085b7

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short_answer

On the planet Zog, all numbers are writen with the digits in reverse order. For example, forty-fve is writen as $$54$$. Pluto, an inhabitant of Zog, was given the subtracton $$729$$---$$26$$. If no mistakes were made, what answer did Pluto write down? Answer:~\uline{~~~~~~~~~~}~

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short_answer

A number is the factor of $45$ and $60$, what is the largest possible value of this number?

0f19ecaf9e6a4a268a28394ccf10d38e

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short_answer

$312+9=$

4c066587422f44769fef6ac62ea2a629

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short_answer

Ashley is $$10$$ years old. Three years ago, she was $$2$$ years older than her brother. How old is Ashley\textquotesingle s brother?

ddbda2b526d94447986b592f33c0b725

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short_answer

A train with a length of $$160$$ meters takes $$30$$ seconds to completely pass through a bridge. The train moves $$20$$ meters each second. Find the length of the bridge.

4f44a87fc2ed45138614656e0d4cdc2e

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short_answer

(UK St Paul's Girls School Sample Paper Section $A$ Question $$15$$) Emily scores $30$ 0ut of $60$ in a test. Hebe scores $60 \%$ in the same test. How many more marks did Hebe get than Emily?

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short_answer

Every morning, Star leaves her home to exercise. At $$\rm 6:30 a.m.$$, she leaves home and begins jogging at a speed of $$9$$ km per hour. At $$\rm 7:00 a.m.$$, she slows down and begins to walk at a speed of $$7.5$$ km per hour. At $$\rm 8:00 a.m.$$, she finishes her exercise. How many km does Star travel in total every morning?

e7b83b9b5e1e45ebbe58b8753935aa52

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short_answer

Calculate $0.23 + 1.9 + 0.083$

9bba3d6fb8a24e63b64427cf2f150104

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short_answer

How many different three-digit numbers can be formed with the digits $$0$$, $$3$$, and $$4$$ if each digit can be used more than once in each number?

c3bbf6f074774feb9ff7aa22e47b31ca

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short_answer

A baseball team played $63$ games and won twice times as many games as it lost. How many games did the team lose?