Ss 3 Mock Exams Maths
MATHEMATICS
8. Find the log of 802 to base 10 (use log tables) (a) 2.9042 (b) 3.9040 (c) 8.020 (d)1.9042
9. Find the number whose logarithm is 2.8321 (a) 6719.2 (b) 679.4 (c) 0.4620 (d) 67.92
10. What is the integer of the log of 0.000352 (a) 4 (b) 3 (c) 4 (d)3
11. Given that log2(1/64) = m, what is m ? (a) -5 (b) -4 (c) -6 (d) 3
12. Express the log in index form: log1010000 =4 (a) 103 = 10000 (b) 10-4 = 10000 (c) 104 = 10000
(c) 105 =100000
13. Evaluate: (a) 8 (b) (c) (d)
14. 2. …………….is an example of Binominal Surd. (a) (b) (c) (d) 15. 3. Simplify: (a) 3 (b) 3 (c) 6 (d) 12
16. 4. Rationalize (a) (b) (c) (d)
17. If , find Cos x – Sin x such that 0O = x ≤ 90O
a. (a) (b) (c) (d)
1 What is the surface area of a sphere, radius 1cm to 3s.f.?
18. Find the volume of a hemisphere of diameter 4cm (a) 16.8cm2(b) 16.8cm3 (c ) 15.8cm3
(d) 15.8cm2
19. The volume of a sphere is 4190cm3. What is its radius? (a) 15cm (b)14cm (c) 12cm
(d) 10cm.
What is the diameter of a sphere of surface area 804cm2? (a) 18cm (b) 17cm (c) 19cm (d) 16cm
20. What is the volume of a hemisphere of diameter 9cm?(a) 190cm3(b) 191cm3(c ) 192cm3
(d) 193cm3
21. If 3loga + 5loga – 6loga= log 64, what is a ? (a) 8 (b) 6 (c) 4 (d) 16 (e) 32
22. Factorise 35- 2b-b2 (a) (7+b)(5- b) (b) (35-2b)(b-1) (c) (3 +7b) (5-b) (d) (35- b)(3b+7) (e) (7+b)(5+b)
23. Evaluate, using logarithm tables (d)13.32 (e) 1.332
5.34 x 67.4
2.7
(a) 133.2 (b) 1332 (c) 13.320
24. Evaluate 0.009 ÷0.012, leaving your answer in standard form (a) 7.5 x 10-1 (b) 7.5 x 10 -2 (c) 7.5 x 10 -2 (d) 7.5 x 10-3 (e) 7.5 x 10 -1
25. Instead of recording the number 1.23 cm of the radius of a tube, a student recorded 1.32 cm. find the percentage error, correct to one decimal place (a) 7.3
% (b) 6.8 % (c) (=9.6 % (d) 14.4 % (e) 15.4%
26. If 5 times a certain integer is subtracted from twice the square of the integer, the result is 63. Find the integer (a) 7 (b) 4 (c) 3 (d) 21 (e) 9
27. If 3y = 243, find the value of y (a) 5 (b) 2 (c) 3 (d) 4 (e) 6
28. An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the centre of the circle? a) 114.550 (b) 25.70 (c) 440 (d) 51.430 (e) 980
Use the pie chart below, which shows the distribution of the population of a village for questions 9 and 10
Others 1400
Married Women
450 married men
Grown bachelors 500
Up girls 150
200
29. What angle represents grown up girls, correct to 1 decimal place? (a) 26.70 (b) 37.50(c) 25.70 (d) 200 (e) 3.750
30. What percentage of the population are married, correct to 1 decimal place? (a) 35.2 % (b) 14.8% (c) 20.4 % (d) 30.5 % (e) 36.5%
31. If A={a,b,c}, B={a,b,c,d,e} and C= {a,b,c,d,e,f} find (AUB) n(AUC) (a) {a,b,c,d,e} (b)
{a,b,c,d} (c) {a,b,c,d,e,f} (d) {a,b,c} (e) {}
use the following for questions 12-14.
For a class of 30 students, the scores in a mathematics test out of 10 marks were as follows:
4 5 7 2 3 6 5 5 8 9
5 4 2 3 7 9 8 7 7 7
3 4 5 5 2 3 6 7 7 2
32. What is the mode of the scores?( a) 7 (b) 3 (c) 4 (d) 6 (e) 5
33. What is the median score? (a) 5 (b) 3 (c) 4 (d) 6 (e) 7
34. What is the range of the distribution? (a) 7 (b) 2 (c) 8 (d) 9 (e) 10
9-1/2
35. Simplify 272/3 (a) 1/27 (b) 1 (c) ½ (d) 1/9 (e) 1/8
36. Find the volume of a cone of radius 3.5cm and vertical height 12cm. (Take π=22/7) (a) 154.0cm3 (b) 42.0cm3 (c) 3.4 cm3 (d) 15.5cm3 (e) 21.0cm3
37. The angle of a sector of a circle of diameter 8 cm is 1350. Find the area of the
5 2 3 2 4 2 1 2 3 2
sector (Take π=22/7) (a) 187cm (b) 97 cm (c) 127cm (d)257cm (e) 31 7cm
38. Calculate, correct to three significant figures, the length of an arc subtends an angle of 700 at the centre of the circle radius 4 cm (Take π=22/7) (a) 4.89 cm (b) 2.44cm (c) 9.78 cm (d) 25.1 cm (e) 50.3 cm
39. Solve for X: (x2 + 2x +1) = 25 (a) -6, 4(b) 5,5 (c) -6,-4 (d) 6,-4 (e) 6,4
40. Given that log p=2logx + 3 logq, which of the following expresses p in terms of x and q? (a) p=x2q2 (b) p=6xq (c) p=x2+q3 (d) p=5xq (e) p=2x+3q
41. Simplify : 125-1/3 X 49-1/2 X 100 (a) 1/35 (b) 350 (c) 35 (d) 1/350 (e) 0
42. If 32x =27, what is x (a) 1.5 (b) 1 (c) 4.5 (d) 18 (e) 40.5
43. Express 0.00562 in standard form (a) 5.62 X 10-3 (b) 5.62 X 10-2 (c) 0.562 X 10 -2
(d) 5.62 x 102 (e) 5.62 X 103
44. Simplify log 8 (a) ½ (b) 1/3 (c) 1/3log (d) 1/3log (e) ½ log log 8
45. While doing his physics practical, Eric recorded a reading as 1.12cm instead of 1.21cm. calculate his percentage error (a) 7.44% (b) 1.17% (c) 6.38% (d) 8.05% (e) 9.00%
46. Find the 4th term of an A.P whose first term is 2 and the common difference is 0.5 (a) 0.5 (b) 3.5 (c) 2.5 (d) 4 (e) 4.5
47. Find the value of m which makes x2 + 8x +m a perfect square (a) 2 (b) 16 (c) 4 (d) 8 (e) 12
48. Express 0.0462 in standard form (a) 0.462 x 10-4 (b) 0.462 x 10-2(c) 4.62 x 101 (d)
4.62 x 10-3 (e) 4.63 x 103
49. The population of a village is 5846. Express this number to three significant figures (a) 58506 (b) 5850 (c) 5840 (d)584 (e) 586
50. Find the equation whose roots are -2/3 and -1/4 (a) 12×2 – 11x + 2= 0 (b) 12×2
+11x +2=0 (c) x2 -11/12x + 2 = 0 (d) 12×2 -11x -2 =0 (e) x2 +11/12x -2 =0
51. If 2x +y= 7 and 3x-2y = 3 by how much is 7x greater than 10? (a) 1 (b) 7 (c) 3 (d) 10 (e) 17
52. Solve: 6(x-4) + 3(x+7) = 3 (a) 3/2 (b) 2/3 (c) ½ (d) 1/3 (e) 0
53. A headmaster contributes 7% of his income into a fund and his wife contributes 4
% of her income. If the husband earn ₦5,500 per annum and the wife earns
₦4,000, find the sum of their annual contributions to the fund (a) ₦1,045 (b)
₦545 (c) ₦605 (d) ₦490 (e) ₦440
54. Mrs kofi sold an article for € 7.50 instead of €12.75. calculate her percentage error, correct to one decimal place. (a) 18.3% (b) 41.2 % (c) 5.3% (d) 1.7% (e) 1.4%
55. The first term of an A.P is equal to twice the common difference d. find, in terms of d, the 5th terms of the A.P (a) 4d (b) 6d (c) 5d (e) a + 5d (e) 2a + 4d
56. A box contain 2 white and 3 blue identical marbles. If two marbles are picked at random, one after the other, without replacement, what is the probability of picking two marbles of different colours/ (a) 2/3 (b) 3/5 (c) 2/5 (d) 7/20 (e) 3/10
57. Mrs jones is expecting a baby. The probability that it will be a boy is ½ and probability that the baby will have blue eyes is ¼. What is the probability that she will have a blue-eyed boy? (a) ¼ (b) 1/8 (c) 3/8 (d) ½ (e) ¾
1 1
58. Simplify (3/4 + 1/3) X 43÷34 (a) 1/3 (b) 13/9 (c) 13/12 (d) 10/9 (e) 17/12
59. Convert 77 to a number in base two(a) 111001 (b) 1001101 (c) 110001 (d)10101 (e)10011
60. Simplify (16/81)1/4 (a)8/27 (b)2/3 (c) 1/3 (d) 4/9 (e) 4/3
THEORY
1. A sphere has a volume of 1000cm3(a) Calculate its radius correct to 3.s.f.
(b) Find the surface area of the sphere.
2. A hemisphere bowl has an external radius of 24cm and is made of wood 3cm thick calculate the volume of wood in the bowl.
THEORY
1 Express 3√5 – √3 in the form a√15 +b, where a and b are rational numbers.
2√5 +3√3
2. Evaluate the following
(a) (b)
Theory
1. Evaluate using logarithm table 6.28 x 304
981
and express your answer in the form A X 10n, where A is a number between1 and 10 and n is an integer.
2. Use logarithm table to calculate 6354 x 6.243 correct to 3 s.f
16.76 x 0.0323
