GCSE Maths | Percentages

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

Show Answers

a) $+30\%$

b) $-15\%$

c) $+15\%$

d) $+20\%$

e) $-25\%$

f) $+20\%$

g) $+25\%$

h) $-6\%$

i) $+30\%$

j) $+10\%$

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%

Show Answers

a) $110$

b) $230$

c) $100$

d) $£90$

e) $42$

f) $135$

g) $303$

h) $300$

i) $315$

j) $40$

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%

Show Answers

a) $90$

b) $150$

c) $40$

d) $£57$

e) $120$

f) $30$

g) $396$

h) $210$

i) $153$

j) $-16$

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%

Show Answers

a) $156.78$

b) $341.94$

c) $£95.76$

d) $697.66$

e) $105.34$

f) $1296.25$

g) $106.00$

h) $529.62$

i) $£14.16$

j) $785.91$

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%

Show Answers

a) $127.92$

b) $196.52$

c) $£63.58$

d) $767.64$

e) $91.56$

f) $1387.65$

g) $60.43$

h) $429.08$

i) $£19.89$

j) $938.60$

Question 6 (Reverse Percentages (Decrease) — Non-Calculator)

Find the original price in each case.

a) After a 20% decrease, a jacket costs £64. What was the original price?

b) A bike is sold for £72 after a 10% discount. What was the original price?

c) A tablet's value dropped by 30% to £84. What was the original value?

d) A sale reduces a phone's price by 25% to £180. What was the original price?

e) After a 15% reduction, a microwave costs £102. What was its original price?

f) A sofa is sold for £340 after a 15% discount. Find its original price.

Show Answers

a) £80

b) £80

c) £120

d) £240

e) £120

f) £400

Question 7 (Reverse Percentages (Increase) — Non-Calculator)

Find the original price in each case.

a) After a 20% increase, a concert ticket costs £84. What was the original price?

b) A coat was increased by 25% to £75. What was the price before the increase?

c) The price of petrol rose by 10% to £1.65 per litre. What was the original price?

d) After a 50% increase, a trampoline costs £150. What was the original price?

e) A laptop's price rose by 30% to £520. What was its price before the rise?

f) A phone plan increased by 25% to £62.50. What was the price before?

Show Answers

a) £70

b) £60

c) £1.50

d) £100

e) £400

f) £50

Question 8 (Reverse Percentages (Decrease) — Calculator)

Find the original price in each case.

a) A jacket is £68.40 after a 12% discount. What was the original price?

b) A fridge is £336.70 after a 15% decrease. What was the full price?

c) A tablet dropped 8.5% in value to £293.38. What was the original value?

d) After a 17% decrease, a coat costs £141.27. What was the price before?

e) A gym membership now costs £445.50 after a 10.5% discount. What was the full price?

f) A washing machine is £742.32 after a 22% discount. What was the original price?

Show Answers

a) £77.73

b) £396.12

c) £320.63

d) £170.20

e) £497.77

f) £951.69

Question 9 (Reverse Percentages (Increase) - Calculator)

Find the original price in each case.

a) A phone rose by 12.5% to £675. What was the original price?

b) A gym membership increased by 15.6% to £580.62. What was the original price?

c) The cost of heating went up 18% to £885.40. What was it before?

d) A sofa price increased by 20.5% to £1,150. What was its original price?

e) A subscription rose by 7.2% to £128.64. What was it originally?

f) A house deposit increased by 25% to £62,500. What was it before?

Show Answers

a) £600.00

b) £502.27

c) £750.34

d) £954.36

e) £120.00

f) £50,000.00