Mathematics 0580 · IGCSE · Indices II

Indices II — practice question

(a)[1]

Calculate the value of $2^{0.7}$.

(b(i))[1]

Find $x$ when $2^x = 128$.

(b(ii))[1]

Find $x$ when $2^x \times 2^9 = 2^{13}$.

(b(iii))[1]

Find $x$ when $2^9 \div 2^x = 4$.

(b(iv))[1]

Find $x$ when $2^x = \sqrt[3]{2}$.

(c(i))[2]

Complete the table of values for $y = 2^x$.

(c(ii))[4]

On the grid, draw the graph of $y = 2^x$ over $-3 \leq x \leq 3$.

(c(iii))[1]

Use the graph to solve $2^x = 5$.

(c(iv))[3]

Find the equation of the line that joins the points $(1, 2)$ and $(3, 8)$.

(c(v))[2]

Using a suitable line on your graph, solve $2^x - 2 - x = 0$.

Worked solution & mark scheme

This 17-mark question has a full step-by-step worked solution and mark scheme. One marking point: Approximately $1.62$ or $1.62\ldots$.

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