AIC SS 2 Math Revision Assignment 2nd Term
 1. 1. Find the value of the unknown side in the diagram above:A) 1/√2B) 2√2C) 4/√2D) √32. 2. Find the value of the unknown side in the diagram above:A) 8√2B) 2 + √3C) √3/2D) 6√33. 3. Given that sin 60⁰ = √3/2 and cos 60⁰ = 1/2. Evaluate 1- sin 60⁰/1+cos 60⁰A) 2 + √3/3B) √2 - 1/2C) 2 - √3/3D) -24. 4. Given that x = cos 30⁰ and y = sin 30⁰, evaluate without using a mathematical table or calculator. x² + y²/ y² - x²A) 1/√2B) 2/√2C) 2/√3D) -25. 5. If log 2 = 0.3010 and log 7 = 0.8451, evaluate log 35² without using mathematical table or calculatorA) 3. 0882B) 3.3804C) - 0.6990D) 0.94886. 6. If 10n = 0.63 and log10 63 =1.8, find the value of nA) -1B) 1C) -0.2D) 0.55627. 7. Find the distance between the point (½, ½) and (-½, -½)A) √2B) √¾C) √3D) 28. 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 respectivelyA) P(-2 , 2)B) P(3, 5)C) P(1, 5)D) P(3 , -1)9. 9. The gradient of the line joining (x, 4) and (1, 2) is ½. Find the value of xA) 2B) -2C) 5D) ⅘10. 10. What is the y- intercept and the gradient of the line whose equation is x/5 + y/3 = ⅓ ?A) 1, -⅗B) ⅓, ⅗C) -⅓, -⅗D) -1, ⅗11. 11. Find the equation of a straight line of gradient 2 through the point (1, 4)A) y - 2x - 2 = 0B) y + 2x + 4 = 0C) y - 2x + 4 = 0D) y - x + 2 = 012. 12. A straight line makes intercept of -3 and 2 on the x and y axes respectively. Find the equation of the lineA) 3y - 2x - 6 = 0B) 2x + 3y + 6 = 0C) -3x + 2y - 6 = 0D) 3x - 2y - 6 = 013. 13. What is the equation of a line parallel to the line 3y - x + 4 = 0 which passes through the point (2, - 4)?A) 3y + x + 14 = 0B) 3y - x + 14 = 0C) y - 3x -14 = 0D) y + 3x -14 = 014. 14.Find the equation of the straight line through (-2, 3) and perpendicular to 4x + 3y - 5 = 0A) 5x - 2y - 11= 0B) 3x + 2y - 18 = 0C) 4y - 3x - 18 = 0D) 4x + 5y + 3 = 015. 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 = 0B) 5y - 2x - 12 = 0C) 5y + 2x - 8 = 0D) 2y - 5x - 9 = 016. 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) 8/7B) 1C) 7/8D) 4/317. 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) 5.4B) 5.5C) 2.8D) 2.718. 18. Find the number of terms in the Arithmetic Progression 2, -9, -20,..., -141A) 13B) 12C) 11D) 1419. 19. Tan μ. = ___________A) Sec μ/ Cosec μB) Cos μ/ Sin μC) 1/ Sin μD) Sin μ/ Cos μ20. 20. Sin²μ + Cos² μ = __________A) 1/Cos²μB) 1C) Sec²μD) Tan²μ21. 21.A) 20/√5B) 2√10C) 20√25D) 20√2/522. 22. Simplify:A) √3/9B) 2√3C) 3√27/27D) ⅓√323. 23.A) DB) CC) ED) BE) A24. 24.A) AB) BC) CD) EE) D25. 25.A) CB) BC) DD) EE) A26. 26.A) AB) CC) DD) B27. 27.A) BB) AC) DD) C28. 28.A) CB) DC) AD) B29. 29.A) AB) BC) DD) C30. 30.A) BB) DC) AD) C31. 31.A) CB) BC) DD) A32. 32.A) BB) DC) AD) C33. 33. If log 2 = 0.301, what is log 64?A) 1.506B) 1.606C) 1.806D) 1.70634. 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) x + z - 2yB) 2x - z + yC) 2x + z - yD) x + z - y35. 35. Given that 10x = 3, express log10 300 in terms of xA) 2xB) x - 2C) 2x + 1D) x + 236. 36. If log2 x = 3 + log2 y, find the value of x/yA) 3/2B) 2/3C) 8D) 537. 37. Solve log3 (2x + 1) - log3 (x - 3) = 2A) x = 14B) x = 28C) x = 4D) x = -438. 38. If log3 (2x -1) - log3 2 = 1, find xA) x = 3 ½B) x = 3¼C) x = 7/2D) x = 339. 39.A) AB) BC) DD) C40. 40. Simplify (1 - sinμ)(1 + sinμ)A) Tan²μB) Cos²μC) Sec²μD) Sin²μ41. 41.A) CB) BC) AD) EE) D42. 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 = 4/3B) d = 1C) d =7/8D) d = 8/743. 43. The 2nd, 3rd and 4th terms of an AP are x-2, 5 and x +2 respectively. Calculate the value of xA) x = 5B) x = 2/5C) x = ⅕D) x = 744. 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) 5.4B) 2.8C) 5.5D) 2.745. 45. Find the sum of the first 10 terms of an AP whose first term and common difference are -1 and 2 respectively.A) 95B) 80C) 90D) 8546. 46. Find the first 12 terms of the AP 2, 5, 8, 11,...A) 52B) 222C) 444D) 2647. 47. The first term of a GP is 6 and it's common ratio is 3. Find the sixth term.A) 3 x 6⁵B) 6 x 3⁵C) 3 x 9⁵D) 18⁵48. 48. The first and third term of a GP are 1 and 9 respectively. What is the second term?A) 2B) 3C) ⅓D) 449. 49. Find the equation of the straight line through (-2, 3) and perpendicular to 4x + 3y - 5 = 0A) 4y - 3x -18 = 0B) 5x - 2y - 11 = 0C) 3x + 2x - 18 = 0D) 3x - 4y +18 = 050. 50. What is the y-intercept and the gradient of the line whose equation is x/5 + y/3 = ⅓?A) -⅓, - ⅗B) -1, ⅗C) ⅓, ⅗D) 1, -⅗
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