Mathematics 0580 · IGCSE · Powers and roots

Powers and roots — practice question

(a)[1]

Write 845024 using words.

(b)[2]

Put these numbers in order, beginning with the smallest.

(c(i))[1]

Find $4^5$.

(c(ii))[1]

Find $6^0$.

(c(iii))[1]

Find $\sqrt{16} \times \sqrt{49}$.

(d)[2]

Solve for $x$ in $6x + 5 = 29$.

(e)[2]

By rewriting each number in the calculation to 1 significant figure, estimate the value of $\frac{2.7 \times 42.4}{8.6 - 4.3}$. Show all of your working.

(f)[1]

Find $x$ if $3^5 \times 3^x = 3^{20}$.

(g)[1]

Simplify the expression $(x^4)^3$.

(h)[3]

Find the next time the two boats depart together from the port.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct written form: Eight hundred forty five thousand and twenty four

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