- 1. 1. Find the value of the unknown side in the diagram above:
A) 4/√2
B) 1/√2
C) 2√2
D) √3
- 2. 2. Find the value of the unknown side in the diagram above:
A) 8√2
B) 6√3
C) 2 + √3
D) √3/2
- 3. 3. Given that sin 60⁰ = √3/2 and cos 60⁰ = 1/2. Evaluate 1- sin 60⁰/1+cos 60⁰
A) √2 - 1/2
B) -2
C) 2 - √3/3
D) 2 + √3/3
- 4. 4. Given that x = cos 30⁰ and y = sin 30⁰, evaluate without using a mathematical table or calculator. x² + y²/ y² - x²
A) 2/√3
B) 2/√2
C) 1/√2
D) -2
- 5. 5. If log 2 = 0.3010 and log 7 = 0.8451, evaluate log 35² without using mathematical table or calculator
A) 3.3804
B) 3. 0882
C) - 0.6990
D) 0.9488
- 6. 6. If 10n = 0.63 and log10 63 =1.8, find the value of n
A) 1
B) 0.5562
C) -0.2
D) -1
- 7. 7. Find the distance between the point (½, ½) and (-½, -½)
A) √2
B) √3
C) 2
D) √¾
- 8. 8. If the mid point of the line joining points P(m, n) and Q(1, 3) is R (2, 4), find the values of m and n respectively
A) P(1, 5)
B) P(3 , -1)
C) P(-2 , 2)
D) P(3, 5)
- 9. 9. The gradient of the line joining (x, 4) and (1, 2) is ½. Find the value of x
A) 5
B) ⅘
C) -2
D) 2
- 10. 10. What is the y- intercept and the gradient of the line whose equation is x/5 + y/3 = ⅓ ?
A) 1, -⅗
B) ⅓, ⅗
C) -1, ⅗
D) -⅓, -⅗
- 11. 11. Find the equation of a straight line of gradient 2 through the point (1, 4)
A) y - 2x - 2 = 0
B) y - x + 2 = 0
C) y - 2x + 4 = 0
D) y + 2x + 4 = 0
- 12. 12. A straight line makes intercept of -3 and 2 on the x and y axes respectively. Find the equation of the line
A) 3x - 2y - 6 = 0
B) 3y - 2x - 6 = 0
C) 2x + 3y + 6 = 0
D) -3x + 2y - 6 = 0
- 13. 13. What is the equation of a line parallel to the line 3y - x + 4 = 0 which passes through the point (2, - 4)?
A) y + 3x -14 = 0
B) y - 3x -14 = 0
C) 3y - x + 14 = 0
D) 3y + x + 14 = 0
- 14. 14.Find the equation of the straight line through (-2, 3) and perpendicular to 4x + 3y - 5 = 0
A) 4y - 3x - 18 = 0
B) 4x + 5y + 3 = 0
C) 3x + 2y - 18 = 0
D) 5x - 2y - 11= 0
- 15. 15. Find the equation of the line that is perpendicular to 2y +5x - 6 = 0 and bisects the line joining the points P (4, 3) and Q (-6, 1)
A) 5y + 2x - 8 = 0
B) 2y - 5x - 9 = 0
C) 5y - 2x - 12 = 0
D) y + 5x + 3 = 0
- 16. 16. The first term of an arithmetic progression is 8. If the tenth term is double of the second term, the common difference is ______
A) 1
B) 7/8
C) 4/3
D) 8/7
- 17. 17. The 12th term of an AP is 32. If the 1st term is 1½, what is it's common difference? ( Correct to 1 decimal place)
A) 5.4
B) 2.8
C) 5.5
D) 2.7
- 18. 18. Find the number of terms in the Arithmetic Progression 2, -9, -20,..., -141
A) 14
B) 13
C) 12
D) 11
- 19. 19. Tan μ. = ___________
A) Cos μ/ Sin μ
B) Sec μ/ Cosec μ
C) 1/ Sin μ
D) Sin μ/ Cos μ
- 20. 20. Sin²μ + Cos² μ = __________
A) Tan²μ
B) 1/Cos²μ
C) 1
D) Sec²μ
A) 20√25
B) 2√10
C) 20/√5
D) 20√2/5
A) 2√3
B) 3√27/27
C) ⅓√3
D) √3/9
- 33. 33. If log 2 = 0.301, what is log 64?
A) 1.706
B) 1.606
C) 1.506
D) 1.806
- 34. 34. If log 2 = x, log 3 = y and log 7 = z, find in terms of x, y, and z, the value of log (28/3)
A) 2x + z - y
B) x + z - y
C) 2x - z + y
D) x + z - 2y
- 35. 35. Given that 10x = 3, express log10 300 in terms of x
A) x + 2
B) x - 2
C) 2x
D) 2x + 1
- 36. 36. If log2 x = 3 + log2 y, find the value of x/y
A) 8
B) 5
C) 3/2
D) 2/3
- 37. 37. Solve log3 (2x + 1) - log3 (x - 3) = 2
A) x = 4
B) x = 14
C) x = 28
D) x = -4
- 38. 38. If log3 (2x -1) - log3 2 = 1, find x
A) x = 3
B) x = 3¼
C) x = 7/2
D) x = 3 ½
- 40. 40. Simplify (1 - sinμ)(1 + sinμ)
A) Tan²μ
B) Sec²μ
C) Cos²μ
D) Sin²μ
- 42. 42. The first term of an arithmetic progression is 8. If the tenth term is double the second term, find the common difference.
A) d = 4/3
B) d = 8/7
C) d =7/8
D) d = 1
- 43. 43. The 2nd, 3rd and 4th terms of an AP are x-2, 5 and x +2 respectively. Calculate the value of x
A) x = 5
B) x = 2/5
C) x = 7
D) x = ⅕
- 44. 44. The 12th term of an AP is 32. If the 1st term is 1½, what is it's common difference?(Correct to 1 decimal place)
A) 5.4
B) 2.7
C) 5.5
D) 2.8
- 45. 45. Find the sum of the first 10 terms of an AP whose first term and common difference are -1 and 2 respectively.
A) 95
B) 85
C) 90
D) 80
- 46. 46. Find the first 12 terms of the AP 2, 5, 8, 11,...
A) 222
B) 26
C) 444
D) 52
- 47. 47. The first term of a GP is 6 and it's common ratio is 3. Find the sixth term.
A) 6 x 3⁵
B) 18⁵
C) 3 x 9⁵
D) 3 x 6⁵
- 48. 48. The first and third term of a GP are 1 and 9 respectively. What is the second term?
A) ⅓
B) 2
C) 4
D) 3
- 49. 49. Find the equation of the straight line through (-2, 3) and perpendicular to 4x + 3y - 5 = 0
A) 5x - 2y - 11 = 0
B) 3x + 2x - 18 = 0
C) 4y - 3x -18 = 0
D) 3x - 4y +18 = 0
- 50. 50. What is the y-intercept and the gradient of the line whose equation is x/5 + y/3 = ⅓?
A) ⅓, ⅗
B) -1, ⅗
C) 1, -⅗
D) -⅓, - ⅗
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