WAEC Mathematics questions: Indices, logarithms and surds

29 questions with answers and explanations. Tap an option to check yourself.

1. Question 21· Indices, logarithms and surds· WAEC

   Solve 2^(2x − 1) = 32.

   • A3
   • B2
   • C5/2
   • D4

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2. Question 22· Indices, logarithms and surds· WAEC

   Simplify (x³)² × x⁻⁴.

   • Ax¹⁰
   • Bx²
   • Cx
   • Dx⁵

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3. Question 23· Indices, logarithms and surds· WAEC

   Simplify (√5 + 2)(√5 − 2).

   • A3
   • B1
   • C9
   • D21

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4. Question 24· Indices, logarithms and surds· WAEC

   Evaluate log₂ 32.

   • A4
   • B6
   • C5
   • D16

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5. Question 25· Indices, logarithms and surds· WAEC

   Simplify log 8 + log 5 − log 4, where the logarithms are to base 10.

   • A0
   • B1
   • C2
   • Dlog 9

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6. Question 26· Indices, logarithms and surds· WAEC

   Solve 3^(x + 1) = 81.

   • A27
   • B4
   • C2
   • D3

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7. Question 27· Indices, logarithms and surds· WAEC

   Simplify 27^(2/3).

   • A9
   • B6
   • C18
   • D3

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8. Question 28· Indices, logarithms and surds· WAEC

   Rationalise 6/√3.

   • A6√3
   • B3√2
   • C2√3
   • D√3/2

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9. Question 29· Indices, logarithms and surds· WAEC

   Simplify 2⁵ × 2⁻³ ÷ 2⁻¹.

   • A8
   • B2
   • C4
   • D16

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   Explanation and discussion