IB Maths AI HL AI 1.1 Number and approximation questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

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Paper 1 Paper 2

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Question 1

Paper 2Easy6 marks

A circular inspection window has a radius recorded as $6.4\text{ cm}$ correct to the nearest $0.1\text{ cm}$

For this question, percentage error is

\frac{|\text{estimated value}-\text{actual value}|}{\text{actual value}}\times 100\%.

(a)

Write down the lower and upper bounds for the radius.

[2]

(b)

Calculate the estimated area of the window, giving your answer to three significant figures.

[2]

(c)

Determine the greatest possible percentage error in this estimated area. Use unrounded values in your calculations and give your answer to three significant figures.

[2]

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