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Date May Example questions Marks available 3 Reference code EXM.2.AHL.TZ0.1
Level Additional Higher Level Paper Paper 2 Time zone Time zone 0
Command term Find Question number 1 Adapted from N/A

Question

Write down and simplify the first three terms, in ascending powers of x , in the Extended Binomial expansion of  ( 1 x ) 1 3 .

[3]
a.

By substituting  x = 1 9 find a rational approximation to 9 3 .

[3]
b.

Markscheme

( 1 x ) 1 3 = 1 + 1 3 ( x ) + 1 3 ( 2 3 ) ( x ) 2 2 ! = 1 x 3 x 2 9        M1A1A1

[3 marks]

a.

( 8 9 ) 1 3 1 1 27 1 729 2 9 3 701 729 9 3 1458 701       M1A1A1

[3 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 1—Number and algebra » AHL 1.10—Perms and combs, binomial with negative and fractional indices
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Topic 1—Number and algebra

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