Chapter Exam

Chapter-7 Indices and Surds — Online MCQ Test

Q: What is the value of 2^(-3)?

Answer: B. 1/8 — A negative index means we take the reciprocal of the positive power: 2^(-3) = 1/(2^3) = 1/8.

Q: Simplify: a^5 × a^3

Answer: B. a^8 — Using the product rule of indices: a^m × a^n = a^(m+n), so a^5 × a^3 = a^(5+3) = a^8.

Q: Simplify: x^7 ÷ x^2

Answer: A. x^5 — Using the quotient rule of indices: a^m ÷ a^n = a^(m-n), so x^7 ÷ x^2 = x^(7-2) = x^5.

Q: Calculate: 8^(2/3)

Answer: A. 4 — 8^(2/3) = (8^(1/3))^2 = (∛8)^2 = 2^2 = 4. Alternatively, 8^(2/3) = (8^2)^(1/3) = 64^(1/3) = 4.

Q: Which statement is true about 5^(-2/3)?

Answer: B. It equals 1/∛(25) — 5^(-2/3) = 1/(5^(2/3)) = 1/((5^(1/3))^2) = 1/((∛5)^2) = 1/∛(25).

MATHS · Grade 10 · IGCSE cambridge

Practice Chapter-7 Indices and Surds with a free chapter-wise online MCQ test for IGCSE cambridge Grade 10 MATHS. This chapter covers: Laws of indices negative and fractional powers and calculations in index form.. AI-generated questions from basic to board-exam level, with instant results and explanations.

Questions

20m

Time Limit

Attempts Left

10 random questions from this chapter (mixed difficulty)
Questions you've seen before won't repeat until the pool resets
You have 20 minutes — exam auto-submits when time is up
Maximum 3 attempts per chapter
Results and explanations shown immediately after submission

New here? Register free — includes 3 free chapter exams.

Chapter-7 Indices and Surds — Important Questions & Answers (FAQ)

Frequently asked questions from IGCSE cambridge Grade 10 MATHS — Chapter-7 Indices and Surds, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the value of 2^(-3)?