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Post-UTME Mathematics 2011 Objective Past Questions

All 9 questions from the Post-UTME Screening (Post-UTME) Mathematics 2011 Objective paper, with the correct answer and a full explanation for each. Free, no signup needed.

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Mathematics 2011 Objective — Question 1

Calculate 3310(base5) - 1442(base5)

  • A. 1313(five)Correct
  • B. 2131(five)
  • C. 4302(five)
  • D. 1103(five)

Explanation

In decimal: 3310(5)=455, 1442(5)=247; 455-247=208, which converts back to 1313(base5).

Mathematics 2011 Objective — Question 3

The length of a notebook 15cm was measured as 16.8cm. Calculate the percentage error to 2 significant figures

  • A. 12.00%Correct
  • B. 11.00%
  • C. 10.71%
  • D. 0.12%

Explanation

Percentage error = |16.8-15|/15 × 100 = 12%.

Mathematics 2011 Objective — Question 4

A worker's present salary is N24,000 per annum. His annual increment is 10% of his salary. What would be his annual salary at the beginning of the third year?

  • A. N28,800
  • B. N29,040Correct
  • C. N31,200
  • D. N31,944

Explanation

24000 × (1.10)² = 24000 × 1.21 = N29,040 (printed in the source with a likely digit typo).

Mathematics 2011 Objective — Question 5

Express the product of 0.0014 and 0.011 in standard form

  • A. 1.54×10⁴
  • B. 1.54×10⁻³
  • C. 1.54×10⁻⁴
  • D. 1.54×10⁻⁵Correct

Explanation

0.0014 × 0.011 = 0.0000154 = 1.54×10⁻⁵.

Mathematics 2011 Objective — Question 6

Evaluate (81)^(3/4) - (27)^(1/3) ÷ 3 × 2³ [grouped as (81^¾-27^⅓)÷(3×2³)]

  • A. 27
  • B. 1Correct
  • C. 1/3
  • D. 1

Explanation

(81^¾-27^⅓)÷(3×2³) = (27-3)/24 = 24/24 = 1.

Mathematics 2011 Objective — Question 7

Find the value of (16)^(3/2) + log₁₀0.0001 + log₂32

  • A. 0.065
  • B. 0.650
  • C. 5.500
  • D. 65.00Correct

Explanation

16^1.5=64; log₁₀0.0001=-4; log₂32=5. Total = 64-4+5=65.

Mathematics 2011 Objective — Question 9

Four members of a social first eleven cricket team are also members of the first fourteen rugby team. How many boys play for at least one of the two teams?

  • A. 25
  • B. 21Correct
  • C. 16
  • D. 3

Explanation

11+14-4 (overlap) = 21. (Question was cut off in the scanned source; reconstructed from an identical question appearing elsewhere in the series.)

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