AIC JS 3 MATHS REVISION Test
  • 1. Use the substitution method to solve y = x+1, x+y = 3
A) x = 1, y = 2
B) x = 1, y = 3
C) x = 1, y = 4
D) x = 2, y = 2
  • 2. Use the substitution method to solve y = 2x - 4, 3x+y = 11
A) x = 1, y = 2
B) x = 2, y = 2
C) x = 3, y = 2
D) x = 3, y = -2
  • 3. Use the substitution method to solve a = 5 - 2b, 5a+ 2b= 1
A) a = -1, b = 3
B) a = 1, b = 3
C) a = -1, b = 1
D) a = -1, b = 2
  • 4. Use the substitution method to solve 2m + n = 0, m + 2n = 3
A) m = -2, n = 2
B) m = -1, n = 2
C) m = 1, n = 2
D) m = -1, n = 3
  • 5. Use the substitution method to solve x + y = 4, 2x - y = 5
A) x = 1, y =2
B) x = 3, y =1
C) x = 3, y =2
D) x = 1, y =1
  • 6. Use the substitution method to solve y - 2x = 1, 3x - 4y = 1
A) x = -1, y= -2
B) x = -2, y= -2
C) x = -1, y= -1
D) x = 1, y= -1
  • 7. Use the substitution method to solve a - 2b = 9, 2a + 3b = 4
A) a = 5, b= -4
B) a = 5, b= -2
C) a = 3, b= -2
D) a = 5, b= -1
  • 8. Use the substitution method to solve 3x + 2y = 10, 4x - y = 6
A) x = 3, y =4
B) x = 2, y =3
C) x = 2, y =4
D) x = 2, y =2
  • 9. Use the elimination method to solve 5a - 2b = 14, 2a + 2b = 14
A) a=4, b=3
B) a=2, b=5
C) a=4, b=4
D) a=4, b=-5
  • 10. Use the elimination method to solve 4p + 3q = 9, 2p + 3q = 3
A) P=3, q=-2
B) P=3, q=4
C) P=2, q=-1
D) P=3, q=-1
  • 11. Use the elimination method to solve 2x + 5y = 4, 2x - 2y= 18
A) x = 1, y = 2
B) x = 4, y = -2
C) x = 7, y = -2
D) x = 7, y = -3
  • 12. Use the elimination method to solve 5x + 2y = 2, 2x + 3y= -8
A) x =2, y =-4
B) x =1, y =2
C) x =2, y =-1
D) x =1, y =-4
  • 13. Use the elimination method to solve 5x + 3y = 1, 2x + 3y= -5
A) x =3, y=1
B) x =2, y=-2
C) x =2, y=2
D) x =2, y=-3
  • 14. Use the elimination method to solve 4x + 3y = 9, 2x + 5y= 15
A) x = 0, y =1
B) x = 3, y =1
C) x = 0, y =3
D) x = 0, y = -3
  • 15. Find the length of its shadow when the elevation of the sun is 40 degrees to 2 s.f
A) 45
B) 92
C) 95
D) 42
  • 16. Use the tangent table to find the value of Tan 13°
A) 0.2948
B) 0.4843
C) 0.2309
D) 0.4847
  • 17. Use the tangent table to find the value of Tan 64°
A) 0.8937
B) 2.050
C) 0.8447
D) 2.884
  • 18. Use the tangent table to find the value of Tan 35°
A) 0.7002
B) 0.8236
C) -0.7002
D) 0.8774
  • 19. Use the tangent table to find the value of Tan 56°
A) 1.483
B) 1.888
C) 1.499
D) 1.884
  • 20. Use the tangent table to find the value of Tan 45.54°
A) 1.903
B) 1.087
C) 1.974
D) 1.019
  • 21. Use the tangent table to find the value of Tan 81.8°
A) 2.774
B) 6.940
C) 9.640
D) 2.727
  • 22. Use the tangent table to find the value of Tan 12.53°
A) 7.4032
B) 0.2222
C) 0.222
D) 0.7474
  • 23. Calculate the value of y to 2 s.f
A) 15
B) 25
C) 11
D) 22
  • 24. Calculate the value of x to 2 s.f
A) 16
B) 52
C) 17
D) 11
  • 25. Use table to find the values of sin 56°
A) 0.8346
B) 0.3347
C) 0.3886
D) 0.8290
  • 26. Use table to find the values of sin 80°
A) 0.7473
B) 0.9848
C) 0.2343
D) 0.9573
  • 27. Use table to find the values of sin 5°
A) 0.0872
B) 0.077
C) 0.7473
D) -0.0862
  • 28. Use table to find the values of cos 66.44°
A) 0.4044
B) 0.4011
C) 0.1140
D) 0.7473
  • 29. Use table to find the values of sin 81.47°
A) 0.8612
B) 0.8773
C) 0.9847
D) 0.8484
  • 30. Use table to find the values of cos 52°
A) 0.1886
B) 0.1384
C) 0.3584
D) 0.3983
  • 31. Use table to find the values of sin 3/8
A) 23.04°
B) 19.87°
C) 17.1°
D) 22.03°
  • 32. Use table to find the values of cos 9/25
A) 17.5°
B) 89.6°
C) 56.9°
D) 68.9°
  • 33. Factorise x2 + 6x + 5
A) (x-5) (x+1)
B) (x+5) (x+1)
C) (x-5) (x-1)
D) (x+5) (x-1)
  • 34. Factorise x2 + 12x + 11
A) (x+11) (x+1)
B) (x-11) (x-1)
C) (x+11) (x-1)
D) (x-11) (x+1)
  • 35. Factorise a2 + 14a + 13
A) (a+13) (a+1)
B) (a+13) (a-1)
C) (a-13) (a-1)
D) (a-13) (a+1)
  • 36. Find the coefficient of d in the expansion of (d+2) (d+7)
A) +7
B) +9
C) -9
D) -7
  • 37. Find the coefficient of d in the expansion of (d-4) (d+6)
A) -8
B) -2
C) +2
D) +8
  • 38. Find the coefficient of d in the expansion of (x-5) (x+4)
A) +7
B) -1
C) -7
D) +1
  • 39. Find the coefficient of d in the expansion of (u+2) (2u+3)
A) +7
B) -7
C) -1
D) +1
  • 40. Find the coefficient of d in the expansion of (a-b) (3a-2b)
A) +5
B) +8
C) -5
D) +8
  • 41. Solve the equation: 1/x = 1/5
A) x=5
B) x=4
C) x=1
D) x=8
  • 42. Solve the equation: 1/9 = 1/r
A) r= 9
B) r= 1
C) r=-1
D) r= 0
  • 43. Solve the equation: 1/m - 1/4 = 0
A) m = -4
B) m =4
C) m = 1
D) m =8
  • 44. Solve the equation: 1/y = 2/7
A) y = 4
B) y = 3.5
C) y = 4.5
D) y = 3
  • 45. Solve the equation: 2.5 = 1/s
A) 1/2
B) 2/5
C) 1/5
D) 5/2
  • 46. Solve the equation: 11/4 + 1/n = 0
A) n = 11/4
B) n = -11/4
C) n = 4/11
D) n = -4/11
  • 47. Solve the equation: 2/t = 6/11
A) t = 9/11
B) t = 3/11
C) t = 11/3
D) t = 11/9
  • 48. Solve the equation: 9/10 = 3/z
A) z = 3/5
B) z = 3.5
C) z = 7/5
D) z = 7.5
  • 49. Solve the equation: 4/9 - 2/p = 0
A) p= 1.5
B) p= 4.5
C) p= 4/5
D) p= 1/5
  • 50. 1/x = 1/4 + 1/12
A) x =1
B) x =4
C) x =3
D) x =2
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