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AIC SS1 Further Mathematics 2nd Term Revision Test
  • 1. Given that √2= 1.414 , √3= 1.732 and √5= 2.236, evaluate 10/√2 give your answer correct to 3 significant figures
A) 7.078
B) 7.07
C) 7.89
D) 7.022
  • 2. Given that √2= 1.414 , √3= 1.732 and √5= 2.236, evaluate 8/√3 give your answer correct to 3 significant figures
A) 4.987
B) 4.234
C) 4.832
D) 4.62
  • 3. Given that √2= 1.414 , √3= 1.732 and √5= 2.236, evaluate 12√5 give your answer correct to 3 significant figures
A) 5.78
B) 5.4
C) 5.23
D) 5.37
  • 4. Given that √2= 1.414 , √3= 1.732 and √5= 2.236, evaluate 15√2 give your answer correct to 3 significant figures
A) 10.455
B) 10.837
C) 10.6
D) 10.72
  • 5. Write 3√5 as complete square roots
A) √45
B) √9
C) √25
D) √35
  • 6. Write 5√7 as complete square roots
A) √175
B) √75
C) √200
D) √32
  • 7. Write 2 √11 as complete square roots
A) √44
B) √40
C) √100
D) √72
  • 8. Write 3√8 as complete square roots
A) √70
B) √62
C) √72
D) √46
  • 9. Write 10√2 as complete square roots
A) √200
B) √300
C) √50
D) √100
  • 10. Express √75 in basic form
A) 4√3
B) 5√3
C) 7√3
D) 6√3
  • 11. Express √200 in basic form
A) 9√2
B) 10√2
C) 7√2
D) 8√2
  • 12. Express √162 in basic form
A) 9√2
B) 6√2
C) 7√2
D) 8√2
  • 13. Rationalize the denominator and simplify 1+√2/2
A) 4+√2/2
B) 4+√2/2
C) 2+√2/2
D) 1+√2/2
  • 14. Rationalize the denominator and simplify 3√2+2√3/4√2
A) 6+5√6/4
B) 2+8√6/2
C) 3+8√6/4
D) 3+6√6/2
  • 15. Find the square of 2√3
A) 14
B) 13
C) 12
D) 15
  • 16. Find the square of 3√5
A) 55
B) 35
C) 25
D) 45
  • 17. Find the square of 6√6
A) 206
B) 216
C) 234
D) 203
  • 18. Simplify (3√2-1) (3√2-1)
A) 13√2
B) 17-6√2
C) 10-6√2
D) 19-6√2
  • 19. Simplify (4√3 + 2√2) (3√2 + 2√5)
A) 12+2√6+8√5+4√6
B) 12+12√6+8√15+4√10
C) 2+2√6+8√3+4√5
D) 12+4√6+8√10+2√6
  • 20. Simplify (2√6-1) (√3-√2)
A) 9√2-3√4
B) 7√2-5√3
C) 7√4-5√6
D) 4√2-3√2
  • 21. Simplify √20 + √45 + √125 - 2√80
A) 3√5
B) 2√5
C) 4√5
D) 5√5
  • 22. Simplify 3√2 - √32 + √50 + √98
A) 12√2
B) 21√2
C) 1√2
D) 11√2
  • 23. Simplify (3√2-1) (3√2+1)
A) 19
B) 17
C) 18
D) 16
  • 24. Simplify (2-√3) (2+√3)
A) 2
B) 4
C) 1
D) 3
  • 25. Simplify 2√12 + 3√48 - √75
A) 10√3
B) 12√2
C) 13√4
D) 11√3
  • 26. Simplify 3√18 + 4√72 - 5√50
A) 6√2
B) 7√2
C) 4√2
D) 5√2
  • 27. Simplify 5√12 - 3√18 + 4√72 +2√75
A) 30√3+5√2
B) 20√3+15√2
C) 10√3+15√2
D) 20√2+15√3
  • 28. Solve log3(x2 -2x +2)=0
A) X=2, X=3
B) X=1, X=2
C) X=1, X=4
D) X=1, X=1
  • 29. Solve log2(x2 -2x +5)=2
A) X=-1, X=-1
B) X=-3, X=-1
C) X=-1, X=1
D) X=-1, X=-2
  • 30. Solve log4(x2+15)=3
A) X=7, X=49
B) X=7, X=-7
C) X=7, X=-3
D) X=7, X=-5
  • 31. Solve log10(x2 -5x +50)=2
A) X=5, X=10
B) X=3, X=6
C) X=5, X=5
D) X=2, X=4
  • 32. Write log2 32=5 in it’s index form
A) 2=232
B) 32=25
C) 16=24
D) 32=52
  • 33. Solve log10(x2 -3x +12)= 1
A) X=1, X=2
B) X=1, X=3
C) X=1 and 4
D) X=2, X=3
  • 34. Simplify log3(x2 +7x +21)=2
A) X=-4, X=3
B) X=4, X=-3
C) X=-4, X=-3
D) X=4, X=-3
  • 35. Write 125=53 in it’s logarithmic form
A) log5 125 = 3
B) log125 3= 5
C) log5 = 3
D) log3 125 = 5
  • 36. Write 81=92 in it’s logarithmic form
A) log9 81
B) log9 81 = 2
C) log81 9 = 2
D) log9 2 = 81
  • 37. Write 1=490 in it’s logarithmic form
A) log49 1 = 0
B) log4 1 = 49
C) log1 49 = 0
D) log49 0= 1
  • 38. Write log2 128=7 in it’s index form
A) 27=12
B) 14=128
C) 27=128
D) 2128 =7
  • 39. Write 64=26 in it’s logarithmic form
A) log6 64=2
B) log64 2 =6
C) log2 64=6
D) log2 64=6
  • 40. Write 35=243 in it’s logarithmic form
A) log5 243=3
B) log243 3=5
C) log3 243=5
D) log2 243=5
  • 41. The most widely used measure of central tendency is _______
A) mean
B) mean deviation
C) range
D) standard deviation
  • 42. _______ is the middle value of a set of data, when arranged in ascending or descending order
A) mean
B) middle value
C) median
D) mode
  • 43. The variable which occurs most often in a distribution is called _______
A) mean
B) arithmetic mean
C) median
D) mode
  • 44. Find the mode of the data 5,7,9,5,4,9,4,3,3,4
A) 5
B) 2
C) 4
D) 3
  • 45. Find the median of the data 18,20,25,30,22,25,28,15
A) 23.5
B) 22
C) 23
D) 24
  • 46. Calculate the mean of the numbers 1,2,9,8,7,3,4,5,6
A) 4
B) 5
C) 9
D) 45
  • 47. Simplify log_b b
A) 1
B) 3
C) 2
D) 0
  • 48. Simplify log_k 1
A) 1
B) 3
C) 2
D) 0
  • 49. Solve 5 ln x4
A) 625lnx
B) 20lnx
C) 9lnx
D) 100lnx
  • 50. The following are 3.5, -7.1, 3, 4.5, 9 _______ numbers
A) Irrational number
B) Decimal
C) Rational numbers
D) Even
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