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AQA GCSE Maths

Topic questions Pure mathematics Iteration

Iteration

5 questions · 15 marks · about 15 minutes

Iteration questions

AQA 8300 Iteration 5 questions

Paper 2: Calculator June 2024 Higher tier, Question 22 3 marks

Figure for question 22

Use x1 = 1 to work out an approximate solution to x = 5 โ€“ fraction Give your answer to 4 significant figures.

[3]
Reveal mark scheme Mark scheme for question 22

Paper 2: Calculator June 2023 Higher tier, Question 22 3 marks

An approximate value of a root of an equation, x, can be found using the iterative formula

Figure for question 22
Question 22, shown as an image
(a)

Work out the values of x2 and x3

Question 22, shown as an image
[2]
Reveal mark scheme Mark scheme for question 22(a)
(b)

By continuing the iteration, show that the value of x is more than 4.25

[1]
Reveal mark scheme Mark scheme for question 22(b)

Paper 3: Calculator November 2021 Higher tier, Question 30 3 marks

A sphere has radius r cm An approximate value of r can be found using the iterative formula

Figure for question 30

The starting value is r1 = 7

Reveal mark scheme Mark scheme for question 30
(a)

Work out the values of r2 and r3

[2]
Reveal mark scheme Mark scheme for question 30(a)
(b)

Continue the iteration to work out the radius to 1 decimal place.

[1]
Reveal mark scheme Mark scheme for question 30(b)

Paper 3: Calculator November 2018 Higher tier, Question 22 3 marks

An approximate solution to an equation is found using the iterative formula

Question 22, shown as an image
(a)

Work out the values of x2 and x3

Question 22, shown as an image
Question 22, shown as an image
[2]
Reveal mark scheme Mark scheme for question 22(a)
(b)

Work out the solution to 5 decimal places.

x =

[1]
Reveal mark scheme Mark scheme for question 22(b)

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