- 1. 1. The time of oscillation of a pendulum varies as the square root of it's length. If the length of the pendulum which oscillates for 35 seconds is 49cm, find the time of oscillation of a pendulum with length 121cm.
A) 77 sec
B) 18 sec
C) 55 sec
D) 11 sec
- 2. 2. Find the quadratic equation whose roots are c and -c
A) x² + 2cx + c² = 0
B) x² - c² = 0
C) x² - 2cx + c² = 0
D) x² + c² = 0
- 3. 3. Construct a quadratic equation whose roots are - 3/2 and 7
A) 2x² + 11x + 21 = 0
B) 3x² - 11x - 21 = 0
C) 3x² + 11x + 21 = 0
D) 2x² - 11x - 21 = 0
- 4. 4. If x and y are variables and k is a constant, which of the following describe an inverse relationship between x and y?
A) y = x + k
B) y = k√x
C) y = k/x
D) y = kx
- 5. 5. If (y + 2) varies inversely as x and y = 3 when x = 2. Find y when x = 5
A) 7
B) 4
C) 2
D) 0
- 6. 6. What must be added to v² - 18v to make it a perfect square?
A) 81
B) 9
C) -18
D) 36
- 7. 7. Solve the equation 2x² + 3x - 8 = 0 by completing the square method, leaving your roots correct to 1 decimal place.
A) 5.2 or -0.2
B) 1.3 or -2.8
C) 0.3 or 3.2
D) 1.4 or -2.9
- 8. 8. If 3 times a certain number is subtracted from twice the square of the number, the result is 5. What are the possible values of the number?
A) x = -1 or -2
B) x = -1 or 2½
C) x = 1 or -2½
D) x = -3 or 1½
- 9. 9. The period of a compound pendulum is given by T = 2π √(h² + k²/gh). Express k in terms of T, h and g.
A) k = √T²g/4π²h
B) k² = T²g/4π²h
C) k = √T²gh/4π² - h²
D) k= √T²gh/2π² - h²
- 10. 10. Make v the subject of the formula. H = m(v² - u²)/2gx
A) v = ± √2gxHm + mu²
B) v = 2gxH + u²/m
C) v = ± √2gxH - u²/m
D) v = ± √2gxH + u²/m
- 11. 11. Make n the subject of the formula in this equation: I = nE/ R + nr
A) n = IR + nr/ E
B) n = IR/ E + Ir
C) n = IR + Inr/ E
D) n = IR/ E - Ir
- 12. 12. If u = 1 - 3v /vt - w, express t on terms of the other letters
A) t = uw - w - 3v/uv -v
B) t = 1 - 3v/ uv - w
C) t = uw - w - 2v/v -v
D) t = 1 - 3v - uv - w
- 13. 13. Make r the subject of the formula. t = 3p/r + s
A) r = s/t + 3p
B) r = t - s/ 3p
C) r = 3p + s/t
D) r = 3p/ t - s
- 14. 14. x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3 ?
A) x = 8
B) x = 8.42
C) x = 6
D) x = 9
- 15. 15. R is partly constant and partly varies with E. When R = 530, E = 1600 and R = 730, E = 3600. Find R when E = 1300
A) R = 240
B) R = 5000
C) R = 500
D) R = 1500
- 16. 16. The charge C of a telephone company is partly constant and partly varies as the number of units of call, U. The cost of 90 units is #1120 and the cost of 120 units is #1216. Find C when U = 150 units.
A) C = #3.2
B) C = #480
C) C = #1312
D) C = #832
- 17. 17. Solve the equation of t² - 2t - 5 correct to 2d.p
A) -2.45 or o.63
B) 4.05 or -1.30
C) 0.62 or-4.13
D) 3.45 or -1.45
- 18. 18. Solve the equation: x² - 13/2 x + 15/2 = 0
A) x = -3/2 or 5
B) x = -1 or 5/2
C) x = 3/2 or 5
D) x = - 1/2 or 5/2
- 19. 19. Solve the equation x + 3 / 2x - 3 = 3x / 4x -6
A) x = 6 or 2/3
B) x = 6 or -3/2
C) x = -6 or 3/2
D) x = 6 or 3/2
- 20. 20. If 4 is a root of the quadratic equation x² + kx + 17 = 0, find the value of k
A) k = 33/4
B) k= 17
C) k = -33/4
D) k = 4/33
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