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