Making The Century

Use the digits from 1 up to 9 and make 100.

Follow the rules.
=> Each digit should be used only once.
=> You can only use addition.
=> For making a number, two single digits can be combined (for example, 4 and 2 can be combined to form 42 or 24)
=> A fraction can also be made by combining the two single digits (for example, 4 and 2 can be combined to form 4/2 or 2/4)

Question: how can we do this?




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John can place six large boxes or nine small boxes into a carton.

Can you find out in how many cartons can he place sixty-six boxes in total?

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How long would it take for the machine to cut the roll if each cut took 4 secs?

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Divide 110 into two parts so that one will be 150 per cent of the other. What are the 2 numbers?

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Can you find the least possible number such that

If the number is divided by 3, it gives the remainder of 1;
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If the number is divided by 5, it gives the remainder of 3;
If the number is divided by 6, it gives the remainder of 4.

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John's five friends Rachel, Jacob, Phoebe, Joey and Chandler live on the same road.

Rachel lives in the house: A, Jacob lives in the house: B, Phoebe lives in the house: C, Joey lives in the house:D, Chandler lives in the house: E

Mathematically
B*C*D = 1260
B + C + D = 2E
2A = E

The road numbers run from 2 to 222.

Can you tell me the house number of each of John's friends?

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0 0 0 = 6
1 1 1 = 6
2 2 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6

You can use any mathematical symbols in the space provided to make all above algebraic expressions true.

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Look at this sequence from top to bottom. What is the next number in the sequence?
1
11
21
1211
111221
312211

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Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

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