First Term Examination
Class : JSS 3
Subject : Mathematics
Duration : 2 Hours
Section A : Objective Tests
1. Simplify and leave your answer in ordinary form (12 × 10^8) / (4 × 10^5) (a) 2000 (b)3000 (c) 4000 (d) 1000
2. Convert 46ten to base three. (a) 102 three (b) 201 three (c) 1201three (d) 1012three
3. What is the decimal value of 2^-2? (a) 0.5 (b) 0.125 (c) 0.2 (d) 0.25
4. Write 0.07258 correct to 3significant figures. (a) 0.070 (b) 0.073 (c) 0.075 (d) 0.0726
5. The sum of the interior angles of an octagon is equal to (a) 1440° (b) 1080° (c) 720° (d) 540°
6. Find the inverse of 10/9 (a) 9/10 (b) 10/9 (c) -10/9 (d) -9/10
7. Factorise: xm – 2pq + xq – 2pm. (a) (m + q) (x + 2p) (b) (m – q) (x – 2p) (c) (m + q) (x – 2p) (d) (m – p) (x + 2q)
8. How many years will it take to earn #8100 simple interest on #180000 at 9% per annum? (a) 2 years (b) 1 1/2 years (c) 1 year (d) 1/2 year
9. Find the value of x if 9x^2 = 4 (a) 4 (b) 3/2 (c) 2/3 (d) 9
10. Solve the equation: 4/a + 1/5a = 3 (a) 2 1/5 (b) 1 2/5 (c) 1 1/3 (d)/1 4/5
11. Convert 57ten to a number in base two. (a) 111001two (b) 110111two (c) 111000two (d) 101111two
12. Express 0.00043 × 10^ 2 in standard form. (a) 7.43 × 10 (b) 7.43 × 10^-1 (c) 7.43 × 10^ -2 (d) 7.43 × 10^ -3
13. Factorize x^ 2 – 81. (a) (x – 9)(x – 9) (b) (x +9)(x – 9) (c) 9x (x – 9) (d) x(x – 81)
14. Calculate the volume of a cuboid 12cm long, 6cm wide and 3cm high . (a) 216cm^3 (b) 116cm ^3 (c) 96cm^3 (d) 51cm^3
15. Find the number of sides of a polygon whose sum of interior angles is 1080°. (a) 5 (b) 6 (c) 7 (d) 8
16. Simplify: 2(3x – 5) – (2x – 7). (a) 4x – 17 (b) 4x – 3 (c) 8x – 3 (d) 4x – 17
17. The angles of a triangle are in ratio 2 : 3 : 5, find the least angle. (a) 72° (b) 56° (c) 54° (d) 36°
18. Convert the surveyor’s bearing 135° to a compass bearing (a) S45°E (b) S35°W vv (c) N40°E (d) N60°W
19. Factorize : x^2 – x – 12 (a) (x – 1)(x + 1) (b) (x – 2)(x + 3) (c) (x – 4)(x + 3) (d) (x – 4)(x + 4)
20. A letter is chosen at random from the word’ MATHEMATICS’. What is the probability that the letter ‘T’? (a) 1/11 (b) 2/11 (c) 1/2 (d) 9/11
21. Find the value of P, if 10011two + P + 11100two + 101two = 1001111 (a) 11111 (b) 11101two (c) 10111two (d) 11011two
22. A perfect is to be chosen from a class of 45 girls and 15 boys. What is the probability that the prefect is a girl? (a)3/4 (b) 2/3 (c) 1/4 (d) 4
23. The angle of a pentagon are x° , 2x° , (x + 60)° , (x + 10)° , (x – 10)°. Find the value of x. (a) 40 (b) 60 (c) 90 (d) 75
24. The bearing of A from B is 069°. What is the bearing of B from A? (a) 012° (b) 249° (c) 111° (d) 201°
25. What is the coefficient of x in the expansion of (2x + 1)(1 – 2x)? (a) -2 (b) -1 (c) 0 (d) 1
26. Find the square root of 144x^2 ÷ 4 (a) 36x (b) 6x (c) 4x (d) 2x^2
27. Evaluate 111011two × 11two . (a) 1110010two (b) 1101010two (c) 10110001 two (d) 11110011two
28. Convert 1264eight to base ten . (a) 639 (b) 672 (c) 692 (d) 642
29. Calculate the area of a trapezium of parallel sides 12cm and 13cm respectively with height of 6cm. (a) 75cm^2 (b) 62cm^2 (c) 43cm^2 (d) 25cm^2
30. One of the following is a compass bearing of 225°. (a) N45°E (b) S45°W (c) S45°W (d) N45°W
31. Calculate the area of a semi-circle of diameter 28cm . (a) 308cm^2 (b) 616cm^2 (c) 924cm^2 (d) 1232cm^2
32. Solve the inequality: 8 – 3x <= x – 4. (a) x >= 4 (b) x >= 3 (c) x <= 3 (d) x <= -4
33. Divide 100001two by 11two. (a) 1011two (b) 1101two (c) 1110 two (d) 1111two
34. What is the size of the angle marked x in the diagram below ?
(a) 30° (b) 45° (c) 55° (d) 60°
35. Expand (3x – y)(2x + y) (a) 6x^2 + xy + y^2 (b) 6x^2 + 5xy – y^2 (c) 6x^2 – 5xy + y^2 (d) 6x^2 + 5xy + y^2
36. Factorize the expression: m(3m – 2) + 2m^2 (a) m(5m – 2) (b) m(5m + 2) (c) m(5m^2 – 2) (d) m^2(5m – 2)
37. Solve for x in the equation 3/4(x + 2) = x – 2 (a) 8 (b) 10 (c) 12 (d) 14
38. If 3/4 is added to a number, the result is 6/5. Find the number. (a) 1/5 (b) 9/20 (c) 3/4 (d) 5/4
39. What is the size of the angle marked x in the diagram below ?
(a) 45° (b) 145° (c) 215° (d) 325°
40. If (a + b)^2 = 10 and ab = 1, then find a^2 + b^2. (a) 20 (b) 13 (c) 9 (d) 8
Section B : Theory
Answer any three questions from this section.
1a. If 33base x = 11011two. Find the value of base x.
1b. The bearing of Lagos from Ibadan is 293° . What is the bearing of Ibadan from Lagos? Sketch the diagram.
2a. If 17x = 375^2 – 356^2, find the value of x
2b. The sum of two numbers is 18. If 5times the first number subtracted from the second number equals to 14. Find the numbers
3a. Convert 3101five to base 2.
3b. Factorize: 6x^×2 – 13x + 5
4a. Use factorization method to evaluate : (35.8)^2 – (18.2)^2
4b. Two cities are 70km apart. The distance between them is 20cm on the map. What is the scale of the map ?
4c. Find the product of 2/3 and the sum of 3 3/4 and 5/6