Indices, Logarithms and Surds — JAMB Mathematics Past Questions

Indices, Logarithms and Surds is one topic inside the JAMB Mathematics syllabus, and drilling it on its own is usually faster than revising the whole subject again. Below: which JAMB years have examined it, then real Indices, Logarithms and Surds questions with worked answers.

When JAMB examined Indices, Logarithms and Surds

Indices, Logarithms and Surds questions appear in our bank for the JAMB years below. This is taken from the questions themselves, not from a syllabus outline — so if a year is listed, this topic was genuinely examined that year.

A topic that keeps reappearing is a topic JAMB keeps testing. Newer years matter most, because question style drifts.

Try Indices, Logarithms and Surds questions

Real Mathematics questions tagged to Indices, Logarithms and Surds. The first is worked through completely so you can see how our explanations read — the rest you can attempt now and check inside the app.

Mathematics · Indices, Logarithms and Surds Sample 1 of 3

Simplify \( \frac{25x^{-4} \times 2y^2}{4xy^3} \).

  • A \frac{25x^2}{2y^4}
  • B \frac{25x^4}{2y^2}
  • C \frac{5x^2}{2y^4}
  • D \frac{x^2}{xy^4}

Answer: C

Simplify the powers: \(25x^{-4} \times 2y^2 = 50x^{-4}y^2\). Divide by \(4xy^3\): \(\frac{50x^{-4}y^2}{4xy^3} = \frac{50}{4}x^{-5}y^{-1} = \frac{25x^2}{2y^4}\).

Mathematics · Indices, Logarithms and Surds Sample 2 of 3

Evaluate without using table \( \log 1.44 - \log 90 + \log 0.0624 \).

  • A -2
  • B -3
  • C -6
  • D -8

Answer and full explanation are inside the app.

Check the answer
Mathematics · Indices, Logarithms and Surds Sample 3 of 3

Simplify \( \frac{2}{1 - \sqrt{2}} \).

  • A -2 - \sqrt{2}
  • B 1 - \sqrt{3}
  • C 1 + \sqrt{2}
  • D -1 + \sqrt{2}

Answer and full explanation are inside the app.

Check the answer

Drill Indices, Logarithms and Surds until it stops costing you marks

Filter Mathematics practice to Indices, Logarithms and Surds alone, work through it with worked explanations, and let the analytics show you when it has actually stuck. Free to start.

Indices, Logarithms and Surds in JAMB Mathematics: common questions

Are Indices, Logarithms and Surds questions free?

Yes. Create a free account and every Mathematics question tagged to Indices, Logarithms and Surds is available with a worked explanation. Past questions are not paywalled.

Is Indices, Logarithms and Surds really examined?

Yes. Indices, Logarithms and Surds appears in our bank across 12 JAMB years, taken from the questions themselves rather than a syllabus outline.

Can I practise Indices, Logarithms and Surds on its own?

Yes. JambUp lets you filter Mathematics questions to a single topic, so you can drill Indices, Logarithms and Surds until it stops costing you marks, then move on to the next weak area.