GCSE Maths | Percentages

• Percentage change = (new-old)/old

Question 1

Calculate the percentage change

a) Original: 50, New: 65

b) Original: 80, New: 68

c) Original: £120, New: £138

d) Original: 25g, New: 30g

e) Original: 600ml, New: 450ml

f) Original: £75, New: £90

g) Original: 12cm, New: 15cm

h) Original: 250 people, New: 235 people

i) Original: 40km, New: 52km

j) Original: £950, New: £1,045

Question 2 (Non-Calculator)

Find the new amount after the percentage increase.

a) Increase 100 by 10%

b) Increase 200 by 15%

c) Increase 80 by 25%

d) Increase £60 by 50%

e) Increase 40 by 5%

f) Increase 120 by 12.5%

g) Increase 300 by 1%

h) Increase 250 by 20%

i) Increase 180 by 75%

j) Increase 16 by 150%

Question 3 (Non-Calculator)

Find the new amount after the percentage decrease.

a) Decrease 100 by 10%

b) Decrease 200 by 25%

c) Decrease 80 by 50%

d) Decrease £60 by 5%

e) Decrease 150 by 20%

f) Decrease 120 by 75%

g) Decrease 400 by 1%

h) Decrease 240 by 12.5%

i) Decrease 180 by 15%

j) Decrease 32 by 150%

Question 4 (Calculator)

Find the new amount after the percentage increase.

a) Increase 134 by 17%

b) Increase 278 by 23%

c) Increase £85.50 by 12%

d) Increase 643 by 8.5%

e) Increase 92 by 14.5%

f) Increase 1250 by 3.7%

g) Increase 87.6 by 21%

h) Increase 455 by 16.4%

i) Increase £12.99 by 9%

j) Increase 782 by 0.5%

Question 5 (Calculator)

Find the new amount after the percentage decrease.

a) Decrease 156 by 18%

b) Decrease 289 by 32%

c) Decrease £74.80 by 15%

d) Decrease 821 by 6.5%

e) Decrease 105 by 12.8%

f) Decrease 1450 by 4.3%

g) Decrease 67.9 by 11%

h) Decrease 522 by 17.8%

i) Decrease £25.50 by 22%

j) Decrease 950 by 1.2%