- 1. 1. Convert [[37]]_10 to base five
A) 122
B) 1001011
C) 1225
D) 1023
- 2. 2. Convert [[1264]]_8 to base ten
A) 171
B) 117
C) 692
D) 629
- 3. 3. Convert [[211]]_3 to base eight
A) 26
B) 62
C) 11
D) 7
- 4. 4. Convert 1.101 to decimal
A) 0.125
B) 0.25
C) 1.625
D) 0.625
- 5. 5. In what base is the addition 465 + 24 + 225 = 1050?
A) 7
B) 9
C) 6
D) 5
- 6. 6. Calculate [[212]]_3 x [[201]]_3 giving your answer as a number in base three
A) 10152
B) 11512
C) 113021
D) 121012
- 7. 7. Evaluate 11110 ÷ 110
A) 101
B) 1100
C) 110
D) 1011
- 8. 8. If [[34]]_5= 23_x, find x.
A) x = -8
B) x = -16
C) x = 16
D) x = 8
- 9. 9. Simplify 0.0589 + 7.382 - 0.7953 correct to 2 decimal places.
A) 6.65
B) 8.20
C) 6.64
D) 8.24
- 10. 10. Evaluate 6 - 36( mod 9)
A) 6
B) 3
C) 0
D) 5
- 11. 11. Evaluate 27 x (20 x 3-2)/ 4-½
A) 12
B) 48
C) ⅓
D) 6
- 12. 12. If x is a whole number such that 2x +1 =4 mod 7, find the least value of x.
A) 2
B) 5
C) -1
D) 3
- 13. 13. Simplify 125-2/3 x 15
A) 13
B) ⅔
C) ⅗
D) ⅚
- 14. 14. Evaluate (3.69 x 105) ÷ (1.64 x 10-3)
A) 2.25x 102
B) 2.25 x 108
C) 2.25 x 10-8
D) 2.25 x 10-2
- 15. 15. Express the sum of 6.03 x 106 and 2.17 x 105 in standard form.
A) 624.7 x 1011
B) 6.247 x 1011
C) 62.47 x 106
D) 6.247 x 106
- 16. 16. Express 0.0006131 in standard form
A) 613.1 x 104
B) 613.1 x 10-4
C) 6.131 x 10-4
D) 6.131 x 104
- 17. 17. Simplify (1/16)-¾ + 5 (90)
A) 2/3
B) 3½
C) 7/25
D) 13
- 18. 18. Evaluate 2 ÷ (64/125)-⅔
A) 1 ⁷/25
B) 2 ⅛
C) 5 ⅚
D) 3 ½
- 19. 19. Simplify 125⅓ x 49½ x 10-1
A) 6 ⅞
B) 35/5
C) 2 ⅓
D) 3 ½
- 20. 20. Given that 102 = 100, write the expression in logarithmic form
A) 3 = log10 100
B) 100 = log10 2
C) 1 = log10 102
D) 2 = log10 100
- 21. 21. Simplify [[log]]_3 54 + [[log]]_3 15 - [[log]]_3 10
A) 12
B) 4
C) 5.9
D) 49
- 22. 22. Evaluate [[log]]_10 45 + [[log]]_10 9-1 - [[log]]_10 2-1 without using table
A) 5
B) 10
C) 1
D) 2
- 23. 23. Simplify [[log]]_10 √1000
A) ⅔
B) 10
C) 1½
D) ½
- 24. 24. Evaluate [[110100]]_2 ÷[[100]]_2
A) [[1010]]_2
B) [[1111]]_2
C) [[1001]]_2
D) [[1101]]_2
- 25. 25. If 23_x = [[32]]_5, find the value of x
A) 5
B) 4
C) 6
D) 7
- 26. 26. Evaluate 4 + (3 x 2) mod 6
A) 2
B) 10
C) 4
D) 0
- 27. 27. Sum up the following numbers 0.032, 4.154, 6.0 and 0.3065, to two decimal places
A) 10.49
B) 10.40
C) 11.00
D) 10.50
- 28. 28. Approximate 65009.269 to 1 significant figure.
A) 65009.300
B) 70000.000
C) 650009.270
D) 65010.000
- 29. 29. Express the number 0.0099687 correct to four decimal places
A) 0.0099
B) 0.0090
C) 0.0010
D) 0.0100
- 30. 30. Solve [[log]]_3 (2x + 1) - [[log]]_3 (x - 3) = 2
A) 8
B) 2
C) 4
D) 3½
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