- 1. 1. Find the value of the unknown side in the diagram above:
A) 2√2
B) √3
C) 4/√2
D) 1/√2
- 2. 2. Find the value of the unknown side in the diagram above:
A) √3/2
B) 2 + √3
C) 8√2
D) 6√3
- 3. 3. Given that sin 60⁰ = √3/2 and cos 60⁰ = 1/2. Evaluate 1- sin 60⁰/1+cos 60⁰
A) 2 + √3/3
B) 2 - √3/3
C) -2
D) √2 - 1/2
- 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/√2
B) -2
C) 1/√2
D) 2/√3
- 5. 5. If log 2 = 0.3010 and log 7 = 0.8451, evaluate log 35² without using mathematical table or calculator
A) - 0.6990
B) 3. 0882
C) 0.9488
D) 3.3804
- 6. 6. If 10n = 0.63 and log10 63 =1.8, find the value of n
A) 0.5562
B) -0.2
C) 1
D) -1
- 7. 7. Find the distance between the point (½, ½) and (-½, -½)
A) √¾
B) √3
C) √2
D) 2
- 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(3, 5)
B) P(1, 5)
C) P(3 , -1)
D) P(-2 , 2)
- 9. 9. The gradient of the line joining (x, 4) and (1, 2) is ½. Find the value of x
A) 5
B) 2
C) ⅘
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) ⅓, ⅗
D) 1, -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 - 2x + 4 = 0
C) y - x + 2 = 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) 2x + 3y + 6 = 0
C) 3y - 2x - 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) 3y - x + 14 = 0
C) 3y + x + 14 = 0
D) y + 3x -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) 3x + 2y - 18 = 0
C) 4x + 5y + 3 = 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) y + 5x + 3 = 0
B) 2y - 5x - 9 = 0
C) 5y + 2x - 8 = 0
D) 5y - 2x - 12 = 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) 8/7
B) 1
C) 7/8
D) 4/3
- 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) 2.7
D) 5.5
- 18. 18. Find the number of terms in the Arithmetic Progression 2, -9, -20,..., -141
A) 12
B) 14
C) 13
D) 11
- 19. 19. Tan μ. = ___________
A) Sec μ/ Cosec μ
B) Sin μ/ Cos μ
C) 1/ Sin μ
D) Cos μ/ Sin μ
- 20. 20. Sin²μ + Cos² μ = __________
A) 1
B) Sec²μ
C) Tan²μ
D) 1/Cos²μ
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