Year :
1996
Title :
Mathematics (Core)
Exam :
WASSCE/WAEC MAY/JUNE
Paper 1 | Objectives
11 - 20 of 49 Questions
| # | Question | Ans |
|---|---|---|
| 11. |
M varies directly as n and inversely as the square of p. If M = 3, when n = 2 and p = 1, find M in terms of n and p. A. M = 2n/3p B. M = 3n2/2p2 C. M = n2/2p D. M = 3n/2p2 E. M = 2n/3p2 Detailed Solution\(M \propto \frac{n}{p^2}\)\(M = \frac{kn}{p^2}\) \(3 = \frac{k(2)}{1^2}\) \(3 = 2k \implies k = \frac{3}{2}\) \(M = \frac{3n}{2p^2}\) |
|
| 12. |
 If x is a real number which of the following is more illustrated on the number line? A. x < 4 B. x > -2 C. -2 < x ≤ 4 D. -3 ≤ x < 4 E. -2 ≤ x < 4 |
E |
| 13. |
Solve the equation
4a + 15a = 3A. 21/5 B. 12/5 C. 11/3 D. 14/15 E. 1/3 |
B |
| 14. |
Make p the subject if formula y =
a + pa - p A. 2a + ya + y = pB. ay - yy + 1 = pC. a(y -1)y + 1 = pD. ayy + 1 = pE. 2y -1y - 1 = p |
C |
| 15. |
Factorize 32x3 - 8xy2 A. 4(4x + y)(2x - y) B. (16x - y)(2x + y) C. 8x(2x - y) D. 8x(2x + y)(2x - y) E. 4(2x + y)(4x - y) |
D |
| 16. |
The roots of a quadratic equation are -1/4 and 3. The quadratic equation is A. 4x2 - 13x - 3 = 0 B. 4x2 - 11x - 3 = 0 C. 4x2 + 11x - 3 = 0 D. 3x2 - 11x - 3 = 0 E. 3x2 - 11x + 3 = 0 |
B |
| 17. |
The graph of 2y = 5x2 - 3x2 - 2 cuts the y axis at the point A. (1,0) B. (-2/5, 0) C. (0, -1) D. (0, -2) E. (0, 1) |
C |
| 18. |
 In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60o Use the information to answer the question below [Take π = 22/7] A. 22cm B. 181/3cm C. \(\frac{11}{3}\)cm D. 91/6cm E. 71/3cm |
C |
| 19. |
 In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60°. What is the area of the minor sector POQ?[Take π = 22/7]. A. 1481/2cm2 B. 77cm2 C. 321/12cm2 D. 65/12cm2 E. 15/6cm2 Detailed SolutionArea of sector = \(\frac{\theta}{360°} \times \pi r^2\)= \(\frac{60}{360} \times \frac{22}{7} \times 3.5 \times 3.5\) = \(\frac{77}{12}\) = \(6\frac{5}{12}\) cm\(^2\) |
|
| 20. |
If the hypotenus of a right-angle isosceles triangle is 2, what is the length of each of the other side? A. 1/√2 B. √2 - 1 C. 1 D. √2 E. √3 |
D |
| 11. |
M varies directly as n and inversely as the square of p. If M = 3, when n = 2 and p = 1, find M in terms of n and p. A. M = 2n/3p B. M = 3n2/2p2 C. M = n2/2p D. M = 3n/2p2 E. M = 2n/3p2 Detailed Solution\(M \propto \frac{n}{p^2}\)\(M = \frac{kn}{p^2}\) \(3 = \frac{k(2)}{1^2}\) \(3 = 2k \implies k = \frac{3}{2}\) \(M = \frac{3n}{2p^2}\) |
|
| 12. |
If x is a real number which of the following is more illustrated on the number line? A. x < 4 B. x > -2 C. -2 < x ≤ 4 D. -3 ≤ x < 4 E. -2 ≤ x < 4 |
E |
| 13. |
Solve the equation
4a + 15a = 3A. 21/5 B. 12/5 C. 11/3 D. 14/15 E. 1/3 |
B |
| 14. |
Make p the subject if formula y =
a + pa - p A. 2a + ya + y = pB. ay - yy + 1 = pC. a(y -1)y + 1 = pD. ayy + 1 = pE. 2y -1y - 1 = p |
C |
| 15. |
Factorize 32x3 - 8xy2 A. 4(4x + y)(2x - y) B. (16x - y)(2x + y) C. 8x(2x - y) D. 8x(2x + y)(2x - y) E. 4(2x + y)(4x - y) |
D |
| 16. |
The roots of a quadratic equation are -1/4 and 3. The quadratic equation is A. 4x2 - 13x - 3 = 0 B. 4x2 - 11x - 3 = 0 C. 4x2 + 11x - 3 = 0 D. 3x2 - 11x - 3 = 0 E. 3x2 - 11x + 3 = 0 |
B |
| 17. |
The graph of 2y = 5x2 - 3x2 - 2 cuts the y axis at the point A. (1,0) B. (-2/5, 0) C. (0, -1) D. (0, -2) E. (0, 1) |
C |
| 18. |
In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60o Use the information to answer the question below [Take π = 22/7] A. 22cm B. 181/3cm C. \(\frac{11}{3}\)cm D. 91/6cm E. 71/3cm |
C |
| 19. |
In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60°. What is the area of the minor sector POQ?[Take π = 22/7]. A. 1481/2cm2 B. 77cm2 C. 321/12cm2 D. 65/12cm2 E. 15/6cm2 Detailed SolutionArea of sector = \(\frac{\theta}{360°} \times \pi r^2\)= \(\frac{60}{360} \times \frac{22}{7} \times 3.5 \times 3.5\) = \(\frac{77}{12}\) = \(6\frac{5}{12}\) cm\(^2\) |
|
| 20. |
If the hypotenus of a right-angle isosceles triangle is 2, what is the length of each of the other side? A. 1/√2 B. √2 - 1 C. 1 D. √2 E. √3 |
D |