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This page covers Questions and Worked Solutions for Edexcel Oct 2021 IAL Pure Maths, WMA12/01.

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Edexcel Oct 2021 IAL Pure Maths 2 WMA12/01 (pdf)

- The first three terms, in ascending powers of x, of the binomial expansion of
- A sequence is defined by
- Figure 1 shows a sketch of part of the curve with equation y = log
_{10}x The region R, shown shaded in Figure 1, is bounded by the curve, the line with equation x = 2, the x-axis and the line with equation x = 14 Using the trapezium rule with four strips of equal width, (a) show that the area of R is approximately 10.10 - f(x) = (x
^{2}− 2)(2x − 3) − 21 (a) State the value of the remainder when f(x) is divided by (2x − 3) (b) Use the factor theorem to show that (x − 3) is a factor of f(x) (c) Hence, (i) factorise f(x) (ii) show that the equation f(x) = 0 has only one real root - A company that owned a silver mine

- extracted 480 tonnes of silver from the mine in year 1
- extracted 465 tonnes of silver from the mine in year 2
- extracted 450 tonnes of silver from the mine in year 3 and so on, forming an arithmetic sequence. (a) Find the mass of silver extracted in year 14 After a total of 7770 tonnes of silver was extracted, the company stopped mining. Given that this occurred at the end of year N,

- (i) The circle C1 has equation
- (i) A geometric sequence has first term 4 and common ratio 6
Given that the nth term is greater than 10
^{100}, find the minimum possible value of n. - Figure 2 shows a sketch of part of the curve C with equation
- (a) Prove that for all positive values of x and y,
- (i) Solve, for

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