Test – C1.3 Powers and Roots

C1.3 Powers and Roots – Practice Questions

IGCSE Mathematics – Practice Questions  |  20 Questions

Section A – Recall (Questions 1–6)
  1. Write down the value of $5^2$.
  2. Write down the value of $\sqrt{144}$.
  3. Write down the value of $3^3$.
  4. Write down the value of $\sqrt[3]{125}$.
  5. Write down the value of $12^2$.
  6. Write down the value of $\sqrt{196}$.
Section B – Application (Questions 7–16)
  1. Work out $7^2 – \sqrt{49}$.
  2. Work out $2^3 + 3^2$.
  3. Work out $\sqrt{169} \times \sqrt[3]{8}$.
  4. Work out $4^3 \div \sqrt{16}$.
  5. Write down all the square numbers that are between 50 and 120.
  6. Work out $\sqrt[3]{1000} + 11^2$.
  7. Work out $2^6$.
  8. Work out $\sqrt[3]{27} \times 5^2$.
  9. Work out $10^3 – 15^2$.
  10. Work out $\sqrt{81} + \sqrt[3]{64}$.
Section C – Multi-Step (Questions 17–20)
  1. Work out $5^2 \times \sqrt[3]{8}$.
  2. Given that $x^2 = 225$, find the positive value of $x$.
  3. Work out $\dfrac{6^2 + \sqrt{64}}{\sqrt[3]{8}}$.
  4. Work out $13^2 – \sqrt[3]{1000} \times \sqrt{25}$.

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