Question 1
LEVEL 3
A dog weighs 48 kg.
After a diet and exercise program the dog weighs 41 kg.
Calculate the percentage change in the dogs’ weight.
Select the correct answer from the list below:
A: 12.1 \%
B: 14.6 \%
C: 10.9 \%
D: 11.3 \%
CORRECT ANSWER: B: 14.6 \%
WORKED SOLUTION:
The difference of the dogs current weight compared to its original weight is 48 - 41 = 7.
Hence the percentage change is \dfrac{7}{48} \times 100 =14.6 \%.
Question 2
LEVEL 3
A CD normally costs \pounds15.
It is reduced to \pounds9.75 in a sale.
Calculate the percentage change in the price of the CD.
Select the correct answer from the list below:
A: 30 \%
B: 33 \%
C: 40 \%
D: 35 \%
CORRECT ANSWER: D: 35 \%
WORKED SOLUTION:
The difference of the CD sale cost compared to its original cost is given by, 15 - 9.75 = 5.25.
Hence the percentage change is \dfrac{5.25}{15} \times 100 = 35 \%.
Question 3
LEVEL 3
Tony is competing in a Triple jump contest.
His first jump is 11.6 m.
His second jump is 14.5 m.
Calculate his percentage change in jump length.
Select the correct answer from the list below:
A: 20 \%
B: 15 \%
C: 18 \%
D: 25 \%
CORRECT ANSWER: D: 25 \%
WORKED SOLUTION:
The difference between the first and second jump is given by , 14.5 - 11.6 = 2.9.
Hence the percentage change is \dfrac{2.9}{11.6} \times 100 = 25 \%.
Question 4
LEVEL 3
Sue deposits £1400 into her bank account which has an interest rate of 2.5 \% per year.
Assuming she does not deposit or withdraw any money, how much money will she have in a years time?
Select the correct answer from the list below:
A: £1435
B: £1428
C: £1425
D: £1420
CORRECT ANSWER: A: £1435
WORKED SOLUTION:
The new total of Sue’s account will be equal to the original amount plus 2.5 \% of the original amount.
To find this, we multiply £1400 by the percentage increase multiplier 1 + 0.025 = 1.025.
Therefore the total value is
£1400 \times 1.025 = £1435Question 5
LEVEL 3
Mikey has £2600 in his bank account. He decides to withdraw 20 \% of this.
How much money will he have left in his bank account after this withdrawal?
Select the correct answer from the list below:
A: £3120
B: £2080
C: £2000
D: £520
CORRECT ANSWER: B: £2080
WORKED SOLUTION:
The new total of Mikey’s account will be equal to the original amount minus 20 \% of the original amount.
To find this, we multiply £2600 by the percentage decrease multiplier 1 - 0.2 = 0.8.
Therefore the total value is
£2600 \times 0.8 = £2080Question 6
LEVEL 3
300 pupils attend River bridge school. 35 \% of these pupils bring a packed lunch.
How many pupils bring a packed lunch?
Select the correct answer from the list below:
A: 90
B: 100
C: 105
D: 120
CORRECT ANSWER: C: 105
WORKED SOLUTION:
We need to multiply 35 \% as a decimal by 300:
0.35 \times 300 = \dfrac{35}{100} \times 300 = 105 pupils bring a packed lunch.
Question 7
LEVEL 3
25 runners take part in a 5km race. 60 \% of these runners finish the race in under 20 minutes.
How many runners finish the race in under 20 minutes?
Select the correct answer from the list below:
A: 20
B: 18
C: 15
D: 10
CORRECT ANSWER: C: 15
WORKED SOLUTION:
We need to multiply 60 \% as a decimal by 25:
0.60 \times 25 = \dfrac{60}{100} \times 25 = 15 runners finish the race in under 20 minutes.