A backpack costing 45 pounds is reduced by 20%. Work out the sale price.
(1)
3
Find 15% of 80.
(1)
4
Write down the multiplier used to increase an amount by 12%.
(1)
5
Write down the multiplier used to decrease an amount by 45%.
(1)
6
Find 8% of 250.
(1)
7
Increase 220 by 35%. Give your answer as a whole number.
(2)
8
Decrease 340 by 15%.
(2)
9
A meal costs 32 pounds before a 12.5% service charge is added. Work out the total cost including the service charge.
(2)
10
A laptop priced at 560 pounds is reduced by 35% in a sale. Work out the sale price.
(2)
11
An item costs 60 pounds and is later sold for 75 pounds. Work out the percentage increase.
(2)
12
A price drops from 90 pounds to 72 pounds. Work out the percentage decrease.
(2)
13
Write down the single multiplier equivalent to a 20% increase followed by a further 10% increase.
(2)
14
A quantity is decreased by 25% and then decreased again by 20%. Write down the overall multiplier for these two decreases, as a decimal.
(2)
15
A washing machine normally costs 480 pounds. In a sale it is reduced by 15%, and a loyalty card gives a further 5% off the sale price. Work out the final price after both reductions.
(3)
16
A car's value decreases by 18% each year. If the car is bought for 15 000 pounds, work out its value after 2 years, giving your answer to the nearest pound.
(3)
17
After a 24% discount, the sale price of a bicycle is 190 pounds. Work out the original price of the bicycle, giving your answer to the nearest penny.
(3)
18
A shop increases the price of a jacket by 40% and then reduces the new price by 25% in a flash sale. The original price was 70 pounds. Work out the final price, and state the overall percentage change from the original price.
(3)
19
A company's revenue was 84 000 pounds in year 1. Revenue increased by 25% in year 2, then decreased by 12% in year 3. Work out the revenue in year 3, and state the percentage difference between this and the year 1 revenue.
(3)
20
Stretch question. A games console originally costs 300 pounds. Its price is increased by r%, and then a discount of 10% is applied to the new price. The final price is 297 pounds. Work out the value of r.
(3)
Mark scheme · KS3.M-R7D Percentage Change and Multipliers: Fluency and Exam Drill
Question 1
B1 30 cao
Answer: 30
Question 2
B1 36 pounds cao
Answer: 36 pounds
Question 3
B1 12 cao
Answer: 12
Question 4
B1 1.12 cao
Answer: 1.12
Question 5
B1 0.55 cao
Answer: 0.55
Question 6
B1 20 cao
Answer: 20
Question 7
M1 use of multiplier 220 x 1.35
A1 297 cao
Answer: 297
Question 8
M1 use of multiplier 340 x 0.85
A1 289 cao
Answer: 289
Question 9
M1 use of multiplier 32 x 1.125
A1 36 pounds cao
Answer: 36 pounds
Question 10
M1 use of multiplier 560 x 0.65
A1 364 pounds cao
Answer: 364 pounds
Question 11
M1 (75-60)/60 x 100
A1 25% cao
Answer: 25%
Question 12
M1 (90-72)/90 x 100
A1 20% cao
Answer: 20%
Question 13
M1 1.2 x 1.1
A1 1.32 cao
Answer: 1.32
Question 14
M1 0.75 x 0.8
A1 0.6 cao
Answer: 0.6
Question 15
M1 apply first multiplier: 480 x 0.85 = 408
M1 apply second multiplier: 408 x 0.95
A1 387.60 pounds cao
Answer: 387.60 pounds
Question 16
M1 apply multiplier once: 15 000 x 0.82 = 12 300
M1 apply multiplier again: 12 300 x 0.82
A1 10 086 pounds cao
Answer: 10 086 pounds
Question 17
M1 recognise 190 = 76% of original
M1 divide: 190 / 0.76
A1 250 pounds cao
Answer: 250 pounds
Question 18
M1 apply increase: 70 x 1.4 = 98
M1 apply decrease: 98 x 0.75 = 73.5
A1 73.50 pounds, an overall increase of 5% cao
Answer: 73.50 pounds; a 5% increase overall
Question 19
M1 apply increase: 84 000 x 1.25 = 105 000
M1 apply decrease: 105 000 x 0.88 = 92 400
A1 92 400 pounds, which is 10% higher than year 1 cao
Answer: 92 400 pounds; 10% higher than year 1
Question 20
M1 form the equation 300 x (1 + r/100) x 0.9 = 297
M1 solve for the increase multiplier: (1 + r/100) = 297 / 270 = 1.1