Binomial Theorem | Cambridge O Level Additional Maths Topic Questions 2025

1a

3 marks

Expand ${(2 - x)}^{5}$ , simplifying each coefficient.

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1b

4 marks

Hence solve $\frac{e^{{(2 - x)}^{5}} \times e^{80 x}}{e^{10 x^{4} + 32}} = e^{- x^{5}}$ .

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1a

3 marks

Find the first 3 terms in the expansion of ${(4 - \frac{x}{16})}^{6}$ in ascending powers of $x$ . Give each term in its simplest form.

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1b

3 marks

Hence find the term independent of x in the expansion of ${(4 - \frac{x}{16})}^{6} {(x - \frac{1}{x})}^{2}$

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1

8 marks

The first 3 terms in the expansion of ${(a + x)}^{3} {(1 - \frac{x}{3})}^{5}$ , in ascending powers of $x$ , can be written in the form $27 + b x + c x^{2}$ , where $a$ , $b$ and $c$ are integers. Find the values of $a$ , $b$ and $c$ .

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Binomial Theorem (Cambridge O Level Additional Maths)

Topic Questions