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