- 1. 1. Convert [[1264]]_8 to base ten
A) 171
B) 692
C) 629
D) 117
- 2. 2. Convert [[211]]_3 to base eight
A) 62
B) 7
C) 26
D) 11
- 3. 3. In what base is the addition 465 + 24 + 225 = 1050?
A) 9
B) 7
C) 6
D) 5
- 4. 4. Evaluate 11110 ÷ 110
A) 101
B) 1011
C) 110
D) 1100
- 5. 5. Simplify 0.0589 + 7.382 - 0.7953 correct to 2 decimal places.
A) 6.64
B) 8.24
C) 8.20
D) 6.65
- 6. 6. Simplify 125-2/3 x 15
A) ⅔
B) ⅗
C) ⅚
D) 13
- 7. 7. Evaluate (3.69 x 105) ÷ (1.64 x 10-3)
A) 2.25 x 108
B) 2.25 x 10-2
C) 2.25 x 10-8
D) 2.25x 102
- 8. 8. Express the sum of 6.03 x 106 and 2.17 x 105 in standard form.
A) 62.47 x 106
B) 624.7 x 1011
C) 6.247 x 1011
D) 6.247 x 106
- 9. 9. Simplify (1/16)-¾ + 5 (90)
A) 2/3
B) 3½
C) 7/25
D) 13
- 10. 10. Evaluate 2 ÷ (64/125)-⅔
A) 2 ⅛
B) 5 ⅚
C) 3 ½
D) 1 ⁷/25
- 11. 11. Simplify 125⅓ x 49½ x 10-1
A) 3 ½
B) 35/5
C) 2 ⅓
D) 6 ⅞
- 12. 12. Evaluate [[log]]_10 45 + [[log]]_10 9-1 - [[log]]_10 2-1 without using table
A) 5
B) 10
C) 2
D) 1
- 13. 13. Evaluate [[110100]]_2 ÷[[100]]_2
A) [[1010]]_2
B) [[1111]]_2
C) [[1001]]_2
D) [[1101]]_2
- 14. 14. Approximate 65009.269 to 1 significant figure.
A) 65009.300
B) 650009.270
C) 70000.000
D) 65010.000
- 15. 15. Express the number 0.0099687 correct to four decimal places
A) 0.0010
B) 0.0100
C) 0.0090
D) 0.0099
- 16. 16. Solve [[log]]_3 (2x + 1) - [[log]]_3 (x - 3) = 2
A) 4
B) 2
C) 8
D) 3½
- 17. 17. Simplify log 27/ log 9
A) 3/4
B) 1½
C) 2
D) log 3/2
- 18. 18. Evaluate [[log]]_10 (⅓ + ¼) + 2 [[log]]_10 2 +[[log]]_10 (3/7)
A) 0
B) -3
C) ⅚
D) 1
- 19. 19. Evaluate without using calculator, [[log]]_10 √30 - [[log]]_10 √6 + [[log]]_10 √2
A) 3/2
B) -3
C) ½
D) 1
- 20. 20. Evaluate ([[203]]_4)2
A) 10012
B) 103021
C) 2030
D) 12002
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