Unilorin Post-UTME Mathematics 2021 (Model questions) past questions and answers

2 questions. Try each one, then open the answer to check yourself and read the explanation.

Question 4

Fractions, Decimals and Approximation

Simplify (1⅞ × 2⅖)/(6¾ ÷ ¾)

  1. A.9
  2. B.4½
  3. C.2
  4. D.½
Show the answer and explanation

Answer: D (½)

Explanation

Numerator: 15/8 × 12/5 = 9/2. Denominator: 27/4 ÷ 3/4 = 9. So (9/2) ÷ 9 = ½.

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Question 11

Indices

If x = 64 and y = 27, evaluate (x½ − y⅓)/(y − x⅔)

  1. A.2⅕
  2. B.1
  3. C.5/11
  4. D.11/43
Show the answer and explanation

Answer: C (5/11)

Explanation

x½ = 8, y⅓ = 3 and x⅔ = 16, so (8 − 3)/(27 − 16) = 5/11.

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