Second Term Examination
Class : JSS 3
Subject : Mathematics
Name : ___________________________________
Duration : 1 Hour 45 Minutes
Instruction : Read the question carefully and pick from the options lettered a – d. Attempt all questions.
1. Approximate 5.7255 to the nearest thousandths. (a) 5.7 (b) 5.726 (c) 5.7255 (d) 5.73
2. Write in figure: Six hundred and fifty-Eight million, one hundred and twenty- five thousand and one. (a) 658, 152, 100 (b) 658, 125, 101 (c) 658,125,001 (d) 658, 105, 001
3. Express 0.00254 in standard form. (a) 2.54 x 10-¹ (b) 2.54 x 10-² (c) 2.54 x 10-³ (d) 25.4 x 10-⁴
4. Find the sum of the prime factors of 60. (a) 5 (b) 7 (c) 10 (d) 12
5. Round off 6827 to the nearest tens. (a) 6820 (b) 6821 (c) 6830 (d) 6900
6. Express #32. 00 as a ratio of #72. 00 (a) 34 : 16 (b) 16 : 34 (c) 9 : 4 (d) 4 : 9
7. Find the L. C. M. of 20a² and 32ab. (a) 4a (b) 16a²b (c) 160a²b (d) 320a²b
8. Add the following 1011, 1111 and 101111. (a) 111110 two (b) 10111 two (c) 1001001 two (d) 1001101 two
9. Find the H. C. F of 108 and 72. (a) 9 (b) 18 (c) 27 (d) 36
10. Increase 4500kg by 15%. (a) 300kg (b) 675kg (c) 3825kg (d) 5175kg
11. Find the product of the L. C. M. and H. C. F. of the following numbers 9, 12 and 18. (a) 6 (b) 18 (c) 36 (d) 108
12. If #240, 000.00 is shared among 3 people in the ratio 5 : 4 : 3, what is the least share? (a) #100, 000.00 (b) #96, 000.00 (c) #80,000.00 (d) #60, 000.00
13. Find the simple interest on #30, 000.00 for 3½ years at 5% per annum. (a) #5, 250.00 (b) #5, 775.00 (c) #10, 750.00 (d) #107, 500.00
14. Find the square root of 9 x 16 x 25. (a) 3600 (b) 360 (c) 60 (d) 25
15. A desktop computer is bought for #45, 000.00 and sold fir #30, 000.00. Find the loss percent. (a) 45.00% (b) 33.33% (c) 30.00% (d) 15.33%
16. If the average of 5, 8, b, 9 and 4 is 7, find the value of b. (a) 9 (b) 8 (c) 7 (d) 5
17. Express 4.34 x 10-³ in decimal. (a) 43.400 (b) 4.3400 (c) 0.04340 (d) 0.0043
18. The bearing of a town Q from P is 045°. Find the bearing of P from Q. (a) 090° (b) 135° (c) 180° (d) 225°
19. On every sale of goods worth #10, 000.00, there is a commission of #550. 00. If an agent delivers #150, 000.00, find his commission. (a) #1,250.00 (b) #4, 150.00 (c) #7, 250.00 (d) #8250. 00
20. Multiply 1001101 two by 111 two. (a) 1001101 two (b) 1000101 two (c) 1001001 two (d) 1010001 two
21. A Toyota Hilux uses 100 litres of fuel in a distance of 250km. How many litres of fuel will it use for a distance of 150 kilometers? (a) 50 litres (b) 60 litres (c) 80 litres (d) 133 litres
22. The reciprocal of 0.65 to three significant figure is ________. (a) 1.54 (b) 1.538 (c) 1.53 (d) 1.500
23. Evaluate 0.671 x 0.0261 and express your answer in standard form. (a) 1754 x 10⁴ (b) 1754 x 10-³ (c) 1.754 x 10-² (d) 1.754 x 10-³
24. What is the value of L in the diagram below? (a) 39° (b) 141° (c) 180° (d) 321°
25. Find the value of y in the diagram below :
(a) 18° (b) 36° (c) 30° (d) 10°
26. In the diagram below < x and < y are
(a) Alternate angles (b) Corresponding angles (c) Transversal angles (d) Vertical angles
27. Express the true bearing of 196° as compass bearing. (a) 516°W (b) 516°E (c) S32°W (d) S32°E
28. Find the L. C. M of 8 and 9. (a) 17 (b) 36 (c) 48 (d) 72
29. Round off 0.0625 to 3 decimal places. (a) 0.063 (b) 0.064 (c) 0.065 (d) 0.165
30. Solve 5(y + 2) = 4(y – 1). (a) – 4 (b) – 8 (c) – 12 (d) – 14
31. Solve 2(x + 15) = 18. (a) 12 (b) 6 (c) – 6 (d) – 12
32. What is the coefficient of x in the equation y = 6x – 1. (a) – 6 (b) – 1 (c) 6 (d) 1
33. The volume of a cone of height h and Base radius r is given by ________. (a) 1/3πh (b) 1/3πr²h (c) πrh (d) πr²h
34. A student s picked at random from a class containing 17 boys and 13 girls. What is the probability that the student is a girl? (a) 1/30 (b) 13/30 (c) 17/30 (d) 13/17
35. Which of the following is an irrational number? (a) √3 (b) √4 (c) √9 (d) √16
36. Calculate the area of a triangle with base 15cm and height 16cm. (a) 30cm² (b) 60cm² (c) 120cm² (d) 160cm²
37. The cone is 8cm high and has a base diameter of 12cm. It’s slant height is ____. (a) 6cm (b) 8cm (c) 10cm (d) 12cm
38. When a number is multiplied by itself, the result is 54/9 . Find the number. (a) 7/3 (b) 7/5 (c) 4/5 (d) 3/4
39. Find the reciprocal of 7/2. (a) 1 (b) 7/2 (c) – 2/7 (d) – 7/2
40. A ladder 6m leans against a vertical wall at an angle 53°to the horizontal. How high up the wall does the ladder reach? (a) 3.611m (b) 4.521m (c) 4.792m (d) 7.962m
41. Find the range of the given set of numbers : 2, 4, 3, 5, 2, 4, 2. (a) 1 (b) 2 (c) 3 (d) 4
42. Use four figure table to find the value of Sin 27.6° (a) 0.4631 (b) 0.4632 (c) 0.4633 (d) 0.5223
43. A cuboid has _________ vertices. (a) 11 (b) 10 (c) 9 (d) 8
44. Find the H. C. F of 18, 24 and 32. (a) 8 (b) 6 (c) 4 (d) 2
45. Evaluate √5 4/9 (a) 49/9 (b) 49/ 7 (c) 9/7 (d) 7/3
46. Approximate 0.347 to 1 significant figure. (a) 0.3 (b) 0.35 (c) 0.4 (d) 0.45
47. A polygon with ten sides is called ____________. (a) Pentagon (b) Hexagon (c) Octagon (d) Decagon.
48. Each interior angle of a regular polygon is 2y + 36. If each exterior angle of the polygon is 2y. Find the value of y. (A) 34° (b) 36° (c) 7.2° (d) 87°
49. When x is doubled and 15 is added, the result is 35. Find the number. (a) 8 (b) 10 (c) 15 (d) 16
50. Express 60% as decimal. (a) 0.006 (b) 0.06 (c) 0.6 (d) 6
Section B : Theory
INSTRUCTION : Attempt question 1 and any three questions from this section.
1a. Simplify the following 5¾ – 27/8 + 1½
1b. Calculate the area of the trapezium below:
2. Solve graphically this pair of simultaneous equation.
x + y = 3 ; 3x – y = 1
Using the value of x from – 2 to +3 and a scale of 1cm equals 1 unit on both axis.
3. Use number line to draw Graphs of the solutions of the following:
(a) x + 5/2 > 0
(b) 9 > 1 – 2x
4. A bag contain 20 red, 15 yellow and 25 blue balls. A ball is picked from the bag, what is the probability that the ball is :
(a) Red (b) Blue
(c) Red or Yellow (d) Yellow
5a. Find the L. C. M of 18e²x, e²t and y³.
5b. In a class of 45 students, there are 12 girls. What percentage of the girls are in the class?