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1.10 Numerical Methods (A-level only)

1.10 Numerical Methods (A-level only)

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Question 2

A student uses four equal strips to estimate

∫024−x2 dx\displaystyle\int_0^2\sqrt{4-x^2}\,dx∫02​4−x2​dx.

a.

Use the trapezium rule to find the estimate, giving your answer to three decimal places.

[3]
b.

The graph is a quarter-circle. Compare the estimate with the exact value of the integral and state whether it is an overestimate or an underestimate.

[2]
Markscheme

1.10 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.10 Numerical Methods (A-level only)

137 exam-style questions on OCR (MEI) A Level Maths 1.10 Numerical Methods (A-level only), covering 1.10.1 Locate roots by change of sign (A-level only), 1.10.2 When change of sign methods fail (A-level only), 1.10.3 Fixed point iteration (A-level only), 1.10.4 Newton-Raphson method (A-level only), 1.10.5 Convergence of iterations (A-level only), 1.10.6 Trapezium rule (A-level only), 1.10.7 Upper and lower bounds using rectangles (A-level only), and 1.10.8 Numerical methods to solve problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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