Grade 10 Mathematics 3rd Assessment
- 1. 1. Convert 37 in base ten to base five
A) 122 B) 1225 C) 1001011 D) 1023
- 2. 2. Convert 1264 in base eight to base ten
A) 117 B) 692 C) 171 D) 629
- 3. 3. Convert 211 in base three to base eight
A) 62 B) 26 C) 7 D) 11
- 4. 4. Convert 1.101 to decimal
A) 1.625 B) 0.625 C) 0.125 D) 0.25
- 5. 5. In what base is the addition 465 + 24 + 225 = 1050?
A) 7 B) 6 C) 9 D) 5
- 6. 6. Given P = 245 in base five and Q = 14 in base five. Calculate P - Q
A) 223 B) 213 C) 231 D) 232
- 7. 7. Evaluate (203)2 in base four
A) 11512 B) 113021 C) 10152 D) 103021
- 8. 8. Evaluate 11110 ÷ 110
A) 1100 B) 1011 C) 110 D) 101
- 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) 163.9 B) 163 C) 200 D) 164
- 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 10-6 C) 6.247 x 10-11 D) 6.247 x 106
- 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 = 2 or 3 B) x = 1/2 or 3 C) x = 1/2 or 1 D) x = 1/2 or 5
- 16. 16. Evaluate 34.83 x 5.427 using logarithm table
A) 1891 B) 1.891 C) 189.1 D) 18.91
- 17. 17. Evaluate 3√350 using logarithm table
A) 704.7 B) 7.047 C) 70.47 D) 704700
- 18. 18. Simplify √0.000144
A) 1.4 x 10-2 B) 1.2 x 102 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 = 4 B) x = 6 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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