Fraction, Decimal and Percentage
Finding Percentages
Number as a percentage
Expressions
Collect like terms
100

85% as a decimal and a simplest-form fraction is

0.85 and 17/20

100

50% of 46 is

23

100

David receives £5 from his Grandmother. He gives £2 to his sister. Write down £2 as a percentage of £5.

40%

100

A school has 5 year groups. There are x students in each year group. Write an expression, in terms of x, for the total number of students at the school.

5x

100

-8x + 2x + 4x

-2x

200

0.12 as a percentage and a simplest-form fraction is 

12% and 3/25

200

A new car is priced at £7500 In a sale it is reduced by 20% Calculate the reduction in price and the new price.

£1500 and £6000

200

There are 400 beads in a bag. 140 of the 400 beads are yellow. Work out 140 as a percentage of 400.

35%

200

p squared and then add 10

p2 + 10

200

- 6x - 3 +3x - 4

-3x - 7

300

0.124 as a percentage and a simplest-form fraction is

12.4% and 31/250

300

1400 students attend a school. 51% of the students travel to school by bus. Work out how many students travel to school by bus.

714

300

There are 600 people at a football match. There 222 children at the match. Write 222 out of 600 as a percentage

37%

300

h divided by 3 then subtract 1 then multiply by 2

2(h/3 - 1)

300

3y2 + 2w2 + y2 − w2

4y2 + w2

400

Write 17/40 as a percentage and a decimal is

42.5% and 0.425

400

Logan has two tubs of beads.
5% of the 600 beads in Tub A are yellow.

4% of the 900 beads in Tub B are yellow.

Work out the total number of yellow beads in the tubs.

66

400

The price of an air fryer is £160 In a sale the price is decreased by £28. Work out the decrease as a percentage of the original price.

17.5%

400

A shop normally sells toasters for £y each. In a sale, the shop reduces the price of the toasters by £15 Write down an expression for the total cost of 6 toasters in the sale

6(y-15) or 6y - 90

400

Troy is simplifying 2x3 + x3 + xy + yx.

He says the answer is 3x6 + x2y2

Is he correct? 

If no, work out the real answer.

No, the real answer is 3x3 + 2xy

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