PERCENTAGES & FRACTIONS
1) Calculate the following:
a) 50% of 600.
b) ¼ of 400
c) ½ of 68
d) 25% of 24
e) ¼ of 84
f) 75% of 32
g) 25% of 30
h) ¾ of 500
2) Calculate the following:
a) 10% of 70.
b) 5% of 70
c) 20% of 70
d) 5% of 180
e) 1/3 of 90
f) 30% of 150
g) 2/5 of 30
h) 15% of 80
c) 5/7 of 80
d) 16.7% of 45
3) Use a calculator to calculate :
a) 65% of 120
b) 18% of 30
4) A Radio’s original price was £175. What is the new cost of the Radio in a 10% off sale? (You may use a
calculator).
5) The balance in a bank account is £1, 800. The account receives interest of 3%. What is the new balance? (You
may use a calculator).
6) Without using a calculator, calculate 15% off £86.
7) What is:
a) 50% as a fraction.
b) ¼ as a percentage.
c) 75% as a decimal and fraction.
d) 13% as a decimal.
e) 3/50 as a percentage.
f) 40% as a fraction.
8) Complete the following table
Fraction
Percentage
Decimal
3/10
0.3
1/5
0.35
2/25
9) Place the following in ascending order
27%
0.03
1/4
10) Mark receives a score of 38 out of 200 in his Maths exam. Write his mark as a fraction and a percentage.
11) Which of the following fractions are equivalent to
12) Calculate the following, without the use of a calculator. Write your answer
a)
b)
c)
d)
13) Calculate the following:
a) 30% of 70.
b) 45% of 70
c) 25% of 70
d) 1% of 180
e) 1/5 of 90
f) 35% of 150
g)5/6 of 30
h) 15% of 180
.
14) Sarah earns £1400 per month. She spends 3/7 of her wages on food and saves 30%. Does she save more than
she spends on food? How much does she have left after her savings and food?
15) Complete the following table
Fraction
Percentage
Decimal
1/2
25%
0.35
3/15
16) Place the following in ascending order
57%
0.6
13/25
17) Mark receives a score of 123 out of 300 in his Maths exam. Write his mark as a fraction and a percentage.
18) An electrical store reduces the price of a particular camera from £90.00 to £78.30. What is the percentage
reduction?
19) John bought a new video recorder. The tag in the shop said it cost £229+VAT. If VAT is charged at 17.5%,
how much did he pay
20) £4,500 is invested in bank which has an interest of 3% per annum. What will the investment be worth after :
a)1 year
b) 2 years
c) 4 years
21) Annie invests £1500 at a rate of compound interest of 2.5% for 3 years. How much is in her account after the
three years?
22) Jane buys a car for £16,000. Jane knows the value of the car will depreciate by 8% each year. How much will
her car be worth in 2 years?
Percentages & Fractions Answers
1) a) 300
b) 100
c) 34
d) 6
e) 21
f) 24
g) 7.5
h) 375
2) a) 7
b) 3.5
c) 14
d) 9
e) 30
f) 45
g) 12
h) 12
3) a) 78
b) 5.4
c) 57.14
d)7.515
b) ¼
c) ¾ 0.75
d) 13/100
4)
£157.50
5) £1854
6) £73.10
7) A) ½
e) 6%
f) 2/5
8)
Fraction
Percentage
Decimal
3/10
30%
0.3
1/5
20%0
0.2
35/100 = 7/20
35%
0.35
2/15
13.33%
0.1333
9) 0.03, ¼ , 27%
10) 38/200 = 19/100 = 19%
11) 4/14 and 22/77
12) A) 8/7
b) 1/10
13) A) 21
b) 31.5
14) 3/7 = £600
c) 19/20
c) 17.5
d) 3/48 = 1/16
d) 1.8
30% = £420
e)18
f) 52.5
g) 25
h)27
Spend more on food. She has £380 left.
15)
Fraction
Percentage
Decimal
1/2
50%
0.5
¼
25%
0.25
35/100 = 7/20
35%
0.35
3/20
15%
0.15
16) 13/25, 57%, 0.6
17) 123/300 = 41/100 = 41%
18) 11.70/90.00 = 0.13 – 13%
19) £269.08
20) A) £4635
21) £1615.34
22) £13542.40
b) 4774.05
c) 4917.27
FRACTIONS
23) Simplify the following fractions, where possible:
a)
b)
c)
d)
e)
24) Which of the following fractions are equivalent to
3) Calculate the following, without the use of a calculator. Write your answer
a)
b)
c)
d)
e)
b)
c)
d)
e)
a)
b)
c)
d)
e)
f)
g)
4) Calculate:
a)
5) Calculate
6) Calculate
a) 1/3 of £90
b) 2/3 of £90
c) ¾ of £120.
7) Sarah earns £700 per month. She spends 1/5 of her wages on food and saves 2/7. Does she save more than
she spends on food?
Fractions Answers
1) a) 2/5
2)
b) 1/3
c) 3/13
d) 3/8
e) 1/5
c) 5/4
d) 10/12 = 5/6
12/15 , 8/10 and 40/50
3) A)3/5
b) 3/10
4) A) 8/15
b) 14/50 = 7/25
5) A) 20/24 = 5/6
f) -8/35
6) A) £30
c) 21/10
b) 8/70 = 4/35
d) 24/25
c) 32/30 = 16/15
g) 43/30
b) £60
7) 1/5 of 700 = £140
c) £90
2/7 of 700 = £200. Saves more.
e)2/8 = 1/4
e) 48/120 = 24/60 = 6/15 = 2/5
d) 11/12
e) 49/30