Revision Test 2 : Decimals, calculators and percentages
This assignment covers the material contained in Chapters 3–5. The marks available are shown in brackets at the
end of each question.
1. Convert 0.048 to a proper fraction.
(2)
2. Convert 6.4375 to a mixed number.
(3)
3. Express
9
32
as a decimal fraction.
(2)
4. Express 0.0784 correct to 2 decimal places. (2)
5. Express 0.0572953 correct to 4 significant
figures.
(2)
6. Evaluate
(a) 46.7 + 2.085 + 6.4 + 0.07
(b) 68.51 − 136.34
(4)
7. Determine 2.37 × 1.2
( 3 )
8. Evaluate 250.46 ÷ 1.1 correct to 1 decimal
place.
(3)
9. Evaluate 5.2
· × 12
(2)
10. Evaluate the following, correct to 4 significant
figures: 3.3 2 − 2.7 3 + 1.8 4
(3)
11. Evaluate
√
6.72 −
3
√
2.54 correct to 3 decimal
places.
(3)
12. Evaluate
1
0.0071
−
1
0.065
correct to 4 significant
figures.
(2)
13. The potential difference, V volts, available at battery terminals is given by V = E − Ir. Evaluate
V when E = 7.23, I = 1.37 and r = 3.60
(3)
14. Evaluate
4
9
+
1
5
−
3
8
as a decimal, correct to 3
significant figures.
(3)
15. Evaluate
16 × 10 −6 × 5 × 10 9
2 × 10 7
in engineering
form.
(2)
16. Evaluate resistance, R, given
1
R
=
1
R 1
+
1
R 2
+
1
R 3
when R 1 = 3.6 k, R 2 = 7.2 k and
R 3 = 13.6 k.
( 3 )
17. Evaluate 6
2
7
− 4
5
9
as a mixed number and as a
decimal, correct to 3 decimal places.
(3)
18. Evaluate, correct to 3 decimal places:
2e 1.7 × 3.67 3
4.61 ×
√
3π
(3)
19. If a = 0.270, b = 15.85, c = 0.038, d = 28.7 and
e = 0.680, evaluate v correct to 3 significant
figures, given that v =
ab
c
−
d
e
(4)
20. Evaluate the following, each correct to 2 decimal
places.
(a)
36.2
2
× 0.561
27.8 × 12.83
3
(b)
14.69 2
√
17.42 × 37.98
(4)
21. If 1.6 km = 1 mile, determine the speed of
45 miles/hour in kilometres per hour.
(2)
22. The area A of a circle is given by A = πr 2 . Find
the area of a circle of radius r = 3.73 cm, correct
to 2 decimal places.
(3)
23. Evaluate B, correct to 3 significant figures, when
W = 7.20, v = 10.0 and g = 9.81, given that
B =
W v 2
2g
(3)
24. Express 56.25% as a fraction in its simplest
form.
(3)
25. 12.5% of a length of wood is 70 cm. What is the
full length?
(3)
26. A metal rod, 1.20 m long, is heated and its length
expands by 42 mm. Calculate the percentage increase in length.
(2)
27. A man buys a house and makes a 20% profit when
he sells it three years later for £312 000. What did
he pay for it originally?
(3)
This assignment covers the material contained in Chapters 3–5. The marks available are shown in brackets at the
end of each question.
1. Convert 0.048 to a proper fraction.
(2)
2. Convert 6.4375 to a mixed number.
(3)
3. Express
9
32
as a decimal fraction.
(2)
4. Express 0.0784 correct to 2 decimal places. (2)
5. Express 0.0572953 correct to 4 significant
figures.
(2)
6. Evaluate
(a) 46.7 + 2.085 + 6.4 + 0.07
(b) 68.51 − 136.34
(4)
7. Determine 2.37 × 1.2
( 3 )
8. Evaluate 250.46 ÷ 1.1 correct to 1 decimal
place.
(3)
9. Evaluate 5.2
· × 12
(2)
10. Evaluate the following, correct to 4 significant
figures: 3.3 2 − 2.7 3 + 1.8 4
(3)
11. Evaluate
√
6.72 −
3
√
2.54 correct to 3 decimal
places.
(3)
12. Evaluate
1
0.0071
−
1
0.065
correct to 4 significant
figures.
(2)
13. The potential difference, V volts, available at battery terminals is given by V = E − Ir. Evaluate
V when E = 7.23, I = 1.37 and r = 3.60
(3)
14. Evaluate
4
9
+
1
5
−
3
8
as a decimal, correct to 3
significant figures.
(3)
15. Evaluate
16 × 10 −6 × 5 × 10 9
2 × 10 7
in engineering
form.
(2)
16. Evaluate resistance, R, given
1
R
=
1
R 1
+
1
R 2
+
1
R 3
when R 1 = 3.6 k, R 2 = 7.2 k and
R 3 = 13.6 k.
( 3 )
17. Evaluate 6
2
7
− 4
5
9
as a mixed number and as a
decimal, correct to 3 decimal places.
(3)
18. Evaluate, correct to 3 decimal places:
2e 1.7 × 3.67 3
4.61 ×
√
3π
(3)
19. If a = 0.270, b = 15.85, c = 0.038, d = 28.7 and
e = 0.680, evaluate v correct to 3 significant
figures, given that v =
ab
c
−
d
e
(4)
20. Evaluate the following, each correct to 2 decimal
places.
(a)
36.2
2
× 0.561
27.8 × 12.83
3
(b)
14.69 2
√
17.42 × 37.98
(4)
21. If 1.6 km = 1 mile, determine the speed of
45 miles/hour in kilometres per hour.
(2)
22. The area A of a circle is given by A = πr 2 . Find
the area of a circle of radius r = 3.73 cm, correct
to 2 decimal places.
(3)
23. Evaluate B, correct to 3 significant figures, when
W = 7.20, v = 10.0 and g = 9.81, given that
B =
W v 2
2g
(3)
24. Express 56.25% as a fraction in its simplest
form.
(3)
25. 12.5% of a length of wood is 70 cm. What is the
full length?
(3)
26. A metal rod, 1.20 m long, is heated and its length
expands by 42 mm. Calculate the percentage increase in length.
(2)
27. A man buys a house and makes a 20% profit when
he sells it three years later for £312 000. What did
he pay for it originally?
(3)