Percentages

Percentages

Atarter Activity

• 
  

  1. multiplying and dividing by 10 and 100

  2. compare common fractions

  3. mixed numbers and improper fractions

  4. Fraction of amount

  5*. Decimals into fractions

Multiple Choice

2. Order these fractions from the smallest:

• $\frac{1}{2};\ \frac{7}{10};\ \frac{2}{3};\ \frac{3}{4};\ \frac{5}{6}$

• $\frac{7}{10};\ \frac{1}{2};\ \frac{5}{6};\ \frac{2}{3};\ \frac{3}{4}$

• $\frac{1}{2};\ \frac{2}{3};\ \frac{7}{10};\ \frac{3}{4};\ \frac{5}{6}$

Multiple Choice

3a) Change this improper fraction into mixed number. Give your answer in the simplest form.
 $\frac{14}{6}$  

•  $2\frac{1}{6}$  

•  $1\frac{2}{6}$  

•  $2\frac{1}{3}$  

•  $2\frac{2}{3}$  

Learning Objectives

1. To be able to find 50%, 25%, and 10% of an amount 

2. To be able to find 75%, 30%, 5% and 15% of an amount 

3. To be able to find percentage increase and decrease

50%

We use 100% to mean ‘everything’ – the total amount. 

To find 50%, halve the amount OR divide the amount by 2.

25%

if 100% ÷ 2 = 50%

and 50% ÷ 2 = 25%

so, 25% is a 1/4 of 100%

You need to divide 100% by 4

or, you can divide 100% by 2, and the divide it by 2 again

50% of 96 = 48

so 25% 0f 96 = 24

because 96 ÷ 4 = 24

Therefore 25% of 96 = 24

10%

10% of 135?

divide by 10

because 100% ÷10 = 10%

So, 135 ÷ 10 = 13.5

10% of 135 = 13.5

•To be able to find 75%, 30%, 5% and 15% of an amount 

How can we calculate 75% of 88?

50% of £88 = £44

25% of £88 = £22

75% of £88 = £66 

•To be able to find 75%, 30%, 5% and 15% of an amount 

How can we find 30% of 170?

10% of 170 = 17

30% = 3 lots of 10% 

       = 3 lots of 17 = 3×17=51

•To be able to find percentage increase and decrease

A pair of jeans is in a sale. The sale offers a discount of 30%. The jeans originally cost £50. 

What was the price of the jeans in the sale?  

10% of £50 = £5

30% of £50 = 3×"£5"= £15 

Thereforediscount given = £15 

Sale Price = original amount – discount

                  =  £50 -  £15  =  £35