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**The sum of the digits of the number 2010 is 3**

The sum of the digits of the number 2010 is 3. What is the next larger number whose digit-sum is also 3? To keep a digit of 3, move 1 one place to the left. The next larger number whose digit-sum is 3 is 2100.

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**In the pattern below, what will be the 78th letter written**

In the pattern below, what will be the 78th letter written? ABBCCDABBCCDA….. (and so on) The pattern length is 6 and then it starts again. The first D is 6 The second D is 12 78/6 = 13 Because 6 goes into 78 evenly you know that the 78th letter will be a D.

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If you triple Jen’s age and subtract 16, the result will be the same as when you double her age and add 8. How old is Jen?

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**This figure consists of two squares**

This figure consists of two squares. Each side-length is a whole number of cm. The combined areas of the squares is 100 sq cm. What is the perimeter of the entire figure?

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**56 coins were left on the table.**

A pile of coins sits on a table. Sara takes half of the coins plus 4 more. Then Nick takes 2. Then Joe takes 2 more than half of what is left. Finally Selena takes coins remain on the table. How many coins were on the table to start with? Work Backwards: You have 4 left. Selena took =9 (left) You have 9 left. Joe takes 2 more than half of what is left =11 (left)/ 11 x 2=22 (left) You have 22 left. Nick takes =24 (left) You have 24 left. Sara takes half of the coins plus 4 more =28 (left)/ 28 x 2=56 56 coins were left on the table.

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C1 Sequences and series. Write down the first 4 terms of the sequence u n+1 =u n +6, u 1 =6 6, 12, 18, 24.

C1 Sequences and series. Write down the first 4 terms of the sequence u n+1 =u n +6, u 1 =6 6, 12, 18, 24.

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