Grade 10 Mathematics 3rd Assessment
- 1. 1. Convert 37 in base ten to base five
A) 1023
B) 1001011
C) 1225
D) 122
- 2. 2. Convert 1264 in base eight to base ten
A) 692
B) 629
C) 171
D) 117
- 3. 3. Convert 211 in base three to base eight
A) 11
B) 7
C) 62
D) 26
- 4. 4. Convert 1.101 to decimal
A) 0.25
B) 0.125
C) 1.625
D) 0.625
- 5. 5. In what base is the addition 465 + 24 + 225 = 1050?
A) 6
B) 5
C) 9
D) 7
- 6. 6. Given P = 245 in base five and Q = 14 in base five. Calculate P - Q
A) 231
B) 213
C) 223
D) 232
- 7. 7. Evaluate (203)2 in base four
A) 11512
B) 10152
C) 103021
D) 113021
- 8. 8. Evaluate 11110 ÷ 110
A) 1011
B) 1100
C) 101
D) 110
- 9. 9. If (34) in base five = 23x, find x.
A) x = 8
B) x = -8
C) x = 16
D) x = -16
- 10. 10. Round off 163.864 to the nearest whole number
A) 164
B) 200
C) 163
D) 163.9
- 11. 11. Express the sum of 6.03 x 106 and 2.17 x105 in standard form
A) 6.247 x 10-6
B) 6.247 x 106
C) 6.247 x 1011
D) 6.247 x 10-11
- 12. 12. Simplify (1/4)-1/2
A) 2
B) -2
C) 2-1/2
D) 21/2
- 13. 13. Evaluate (0.008)1/3
A) 0.5
B) -0.2
C) 0.2
D) -0.5
- 14. 14. If x is a positive integer, determine the least value of x for which 13 + 2x = 3(mod 8)
A) 5
B) 16
C) 3
D) 1
- 15. 15. Solve 2x + 4 = 0(mod 5)
A) x = 1/2 or 5
B) x = 1/2 or 1
C) x = 1/2 or 3
D) x = 2 or 3
- 16. 16. Evaluate 34.83 x 5.427 using logarithm table
A) 18.91
B) 1.891
C) 189.1
D) 1891
- 17. 17. Evaluate 3√350 using logarithm table
A) 70.47
B) 704.7
C) 704700
D) 7.047
- 18. 18. Simplify √0.000144
A) 1.4 x 102
B) 1.2 x 10-2
C) 1.2 x 102
D) 1.4 x 10-2
- 19. 19. Find x if 21 in base x = 7 in base ten
A) x = 5
B) x = 3
C) x = 6
D) x = 4
- 20. 20. Evaluate (3.69 x 105) ÷ (1.64 x 10-3)
A) 2.25x 102
B) 2.25 x 10-2
C) 2.25 x 108
D) 2.25 x 10-8
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