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Chloe has 3 pieces of wool. One piece is 160mm long, another is 26cm long and the last piece is 0.45m long. What is the total length of wool, in centimetres, that Chloe has?

The question is asking us to give our answer in centimetres, so the first step to solve this problem will be to convert all the lengths into centimetres. 1cm = 10mm so 160mm = 160/10 = 16cm . 1m = 100cm so 0...
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Answered by Fizza A. • Maths tutor
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Write x^2+4x-12 in the form (x+a)^2+b where 'a' and 'b' are constants to be determined.

This question is asking us to complete the square. To find the value of a we must halve the coefficient of x. So, in this question: a = 4/2 = 2. To find the value of b we take the constant at the end of the ...
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Answered by Fizza A. • Maths tutor
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I think of a number. I multiply it by 3 and then subtract 5. I get an answer of 16. What was the number I first thought of?

This question is asking us to work our way back and find the original number. We can refer to this number as 'x'. If we multiply x by 3 we get 3x. The next step is to subtract 5, so our equation now is 3x-5....
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Answered by Fizza A. • Maths tutor
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Factorise x^2-x-12

To factorise this equation we want to get 2 brackets. We are looking for 2 numbers which multiply to make -12 and add to make -1. So, let's see some factors of -12: -12 = (-1) x 12; (-2) x 6; (-3) x 4; (-4) ...
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Answered by Fizza A. • Maths tutor
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Find the derivative of x(x+3)^5

First we use the product rule, so we multiply x by the derivative of (x+3) 5 . To find the derivative of (x+3) 5 we use the chain rule. So we have 5(x+3) 4 . So the first part of our product rule calculation...
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Answered by John Y. • Maths tutor
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