Percentages

Question 1

What are the different things you can do with percentages?

Answer 1

1. Find x% of y
2. Find the new amount after a % increase/decrease
3. Express x as a percentages of y

Question 2

Find 15% of £46

Answer 2

1) Write 15% as a decimal 15% = 15/100 = 0.15

2) Multiply £46 by 0.15 0.15 x £46 = £6.90

                           OR

£46/100 = 0.46
0.46 x 15 = 6.9

Question 3

A toaster is reduced in price by 40% in the sales. It originally cost £68. What is the new toaster price?

Answer 3

1. Write 40% as a decimal 40% = 40/100 = 0.4
2. Multiply to find 40% of £68 0.4 x £68 = £27.20
3. It’s a decrease, so subtract from the original £68 - £27.20 = £40.80

                                or

68/100 = 0.68
0.68 x 40 = 27.2
£68 - 27.2 = £40.80

Question 4

How to convert fractions into percentages?

1) 2/5
2) 17/20
3) 1/6
4) 35/42

Answer 4

Divide the numerator by the denominator then multiply by 100
In a bus stop sum 5 on the outside of the bus stop message 2 is underneath we then divide it which is 40%
2. 85%
3. 16.6%
4. 83.3%

Question 5

Percentages to fractions?
1) Convert 11% to a fraction
2) Convert 75% to a fraction
3) Convert 62.5% to a fraction

Answer 5

1) 11/100
2) 75/100 to simplify this you divide by 5 from the top and bottom answer 3/4
3) 62.5/100
Multiply both top and bottom by 10 (because there is 1 digit after the decimal place
which is 625/1000
Simplify the fraction (this took me two steps, you may be able to do it one!
625/1000 (divide 25)
25/40 (divide 5)
answer 5/8