Mathematics 0580 · IGCSE · Powers and roots

Powers and roots — practice question

(a)[2]

Write down one factor of 24 that is a square number.

(b)[1]

Write down the cube number that lies between 100 and 200.

(c(i))[1]

Find $\sqrt{12.25}$.

(c(ii))[1]

Find $17^3$.

(c(iii))[1]

Find $4^{-2}$.

(d)[2]

Find the value of $s$ when $a = 0.7$ and $t = 4.2$.

(e(i))[1]

Simplify $a^0$.

(e(ii))[1]

Simplify $b^3 \times b^2$.

(e(iii))[1]

Simplify $\frac{c^4}{c^8}$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $1$ or $4$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI