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