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

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1a) 120 x 10 =

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1b) 78 x 100 =

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1c) 450 ÷ 10 =

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1d) 68 ÷ 100 =

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.
 $\frac{14}{6}$  

•  $2\frac{1}{6}$  

•  $1\frac{2}{6}$  

•  $2\frac{1}{3}$  

•  $2\frac{2}{3}$  

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3b) Write this mixed number as an improper fraction.
 $3\frac{2}{3}$  (write your answer as eg. 1/2; no spaces)

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  $\left(4\right)\ What\ is\ \ \frac{4}{7}\ \ of\ 56\ ?$   

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5a) What is 50% as a fraction?

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5b) What is 25% as a fraction?

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5c) What is 75% as decimal?

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5d) What is 12% as decimal?

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.

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Task 1:

Work out the following

a) 50% of £68 =

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Task 1:

Work out the following

b) 50% of £90 =

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Task 1:

Work out the following

c) 50% of £150 =

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

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Task 2

Work out the following:

a) 25% of 40cm =

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Task 2

Work out the following:

b) 25% of 88kg =

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Task 2

Work out the following:

c) 25% of £240 =

10%

10% of 135?

divide by 10

because 100% ÷10 = 10%

So, 135 ÷ 10 = 13.5

10% of 135 = 13.5

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Task 3

Work out the following

a) 10% of £210 =

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Task 3

Work out the following

b) 10% of $415 =

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Task 3

Work out the following

c) 10% of £801 =

•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 

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Task 4

Work out the new prices after the percentage discount has been made

Iphone

Original price 600

Discount 20%

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Task 4

Work out the new prices after the percentage discount has been made

SamsungS4

Original price: 500

Discount: 10%

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Task 4

Work out the new prices after the percentage discount has been made

Sony Experia Z4

Original price : 500

Discount: 5%