Mathematics 0580 · IGCSE · Powers and roots

Powers and roots — practice question

Five number cards are shown: 1, 2, 6, 7 and 8.
(a(i))[1]

Join two cards to make a two-digit multiple of 7.

(a(ii))[1]

Join two cards to make a two-digit square number.

(a(iii))[1]

Join two cards to make a two-digit cube number.

(a(iv))[1]

Join two cards to make a two-digit prime number.

(b)[1]

State every number in this list that is irrational.

(c)[1]

Add one pair of brackets to this calculation so that it is correct. $7 \times 5 - 2 + 3 = 42$

(d(i))[1]

Work out the value of $\sqrt[3]{0.729}$.

(d(ii))[1]

Work out the value of $5^4$.

(d(iii))[1]

Work out the value of $4^{-2}$.

(e(i))[2]

Express 60 as a product of its prime factors.

(e(ii))[2]

Find the lowest common multiple (LCM) of 36 and 60.

Worked solution & mark scheme

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