Week 5 - Year 6

Decimals, Fractions and Percentages are just different ways of showing the same value:

From Percent to Decimal

• To convert from percent to decimal divide by 100 and remove the % sign.

• An easy way to divide by 100 is to move the decimal point 2 places to the left:

From Decimal to Percent

• To convert from decimal to percent multiply by 100%

• An easy way to multiply by 100 is to move the decimal point 2 places to the right:

From Fraction to Percentage

From Percentage to Fraction

• To convert a percentage to a fraction, first convert to a decimal (divide by 100),

• Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number,100 for 2 numbers, etc)

Multiple Choice

Convert the decimal 0.875 to a percent

• 0.875%

• 8.75%

• 87.5%

• 875%

Multiple Choice

Convert the decimal 4.025 to a percent.

• 0.4025%

• 4.025%

• 40.25%

• 402.5%

Multiple Choice

Convert 18.75% to a decimal

• 0.001875

• 0.1875

• 0.01875

• 1.875

Multiple Choice

$$Express\ \frac{5}{8}\ as\ a\ percent$$  

• 58%

• 625%

• 62.5%

• 60.25%

Multiple Choice

$$Express\ \frac{17}{25}\ as\ a\ percent$$  

• 34%

• 68%

• 51%

• 85%

Multiple Choice

Express 5% as a fraction

• $$\frac{1}{5}$$

• $$\frac{1}{20}$$

• $$\frac{2}{5}$$

• $$\frac{1}{2}$$

Multiple Choice

Express 32% as a fraction

• $$\frac{3}{10}$$

• $$\frac{17}{50}$$

• $$\frac{9}{25}$$

• $$\frac{8}{25}$$

Multiple Choice

Convert 3.5% to a decimal

• 0.0035

• 0.035

• 0.35

• 3.5

Find percentages and fractions of amounts

• Bronze: Calculate a percentage of an amount

• Silver: Calculate a fraction of an amount

• Gold: Use reasoning skills to compare fractions and percentages.

Percentages without a calculator

• To find a percentage of an amount we do the same calculation to the amount as we would do to get from 100% to our percentage.

• To get from 100% to 1% we would need to divide by 100, so we would divide the amount by 100.

• We always use multiply or divide.

Percentages without a calculator

What sum would we do to find 60%?

• As 60 is a multiple of 10, we can find 10% then multiply it by 6 to get 60%

Multiple Choice

A shop usually sells a bottle of bath gel for £2.60

The shop has a special offer on bath gel.

How much is the discount on a bottle of bath gel?

• 13p

• 20p

• 26p

• 52p

A shop usually sells a bottle of bath gel for £2.60

The shop has a special offer on bath gel.

Fill in the Blanks

A woman is looking at her household bills throughout the year.

The total cost of electricity and supply for the fourth period is £120.

The electricity company adds VAT to this total at a rate of 5%

What is 5% of £120?

A woman is looking at her household bills throughout the year.

The total cost of electricity and supply for the fourth period is £120. 

The electricity company adds VAT to this total at a rate of 5% 

What is 5% of £120?

Fractions of an amount

Multiple Choice

Work out 60 ×  $$\frac{2}{3}$$  

• 90

• 20

• 40

• 45

Multiple Choice

Bob has £5, he donates 2/5 of it. How much does he have left?

• £1

• £2

• £3

• £4

Bob has £5, he donates 2/5 of it. How much does he have left?

Multiple Choice

Would you rather have...?

• 2/6 of £54

• 3/7 of £49

• 4/12 of £60

Exit ticket.

What fractions and decimals are equivalent to the following percentages.

1) 50%

2) 25%