4. VULGAR, DECIMAL FRACTIONS
AND PERCENTAGES
1.
(a)
Express 45% as a fraction in its lowest term.
(b) Express 2 as a decimal, giving your answer correct to 2 decimal places.
7
(c)
2.
16% of a number is 60. Find the number.
Find the value of
(a)
21  3
2
5
(b) 1.3  0.2
3.
4.
Find the value of
(a) 21.6 – 2.47
(b)
4 1 1
5
2
(a)
Express 0.85 as a fraction in its lowest terms.
(b) Giving your answer as a fraction, find the value of 3 1  2 2 .
2
5.
3
Find the value of
(a) 4.5  0.4
(b) 12  0.8
Vulgar, Decimal Fractions and Percentages
14
6.
Find the value of
(a)
28  3 12
(b) 0.3  0.02
7.
Find the value of
(a) 0.2  0.45
(b) 1 3  2 1
5
8.
(a)
3
Express 17 as a percentage.
20
(b) Find the decimal number which is exactly half-way between 4.7 and 5.0.
9.
Evaluate
(a) 7 1  6 2
4
3
(b) 3 2  5 2
10. It is required to find a rational numbers which is equal to the recurring decimal number
0.737373….
(a) Given that x  0.737373..., find the value of 100 x  x.
(b) Hence express 0.737373… in the form of a where a and b are integers.
b
Vulgar, Decimal Fractions and Percentages
15
11. (a)
Find the fraction in which is exactly half-way between 1 and 4 .
7
7
(b) Subtract 370 grams from 3.7 kilograms. Give your answer in kilograms.
12. Evaluate
(a) 12 1  9 3
3
5
(b) 8.4  0.02
13. (a)
(b)
Evaluate 3 1  2 3
5
4
2 of a plot of land is garden. 1 of the garden is lawn. Find the fraction of the plot of land
3
5
which is lawn.
14. The diagram shows a fuel gauge in a car.
1
4
1
2
Empty
3
4
Full
(a) What fraction does the gauge show?
(b) The fuel tank holds 48 litres when it is full. How many litres must be added to fill the tank?
Vulgar, Decimal Fractions and Percentages
16