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Estimation and approximation

WJEC GCSE Maths

Topic questions Number Estimation & approximation

Estimation & approximation

19 questions · 75 marks · about 1.5 hours

Estimation and approximation questions

TopicEstimation & approximation

Unit 1: Non-calculator June 2025 Foundation tier, Question 1 5 marks

(a)

Write twenty thousand, three hundred and six in figures.

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(b)

$Question 1, shown as an image$

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(c)

Subtract 435 from 826.

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(d)

Write 8467·2 correct to the nearest hundred.

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(e)

Estimate the value of 9·8 × 31·2.

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Unit 1: Non-calculator June 2025 Intermediate tier, Question 3 2 marks

Estimate the value of 89 × 6349.

You must show all your working.

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Unit 1: Non-calculator June 2024 Intermediate tier, Question 10, also on the Higher paper 6 marks

(a)

Write the reciprocal of 4 as a decimal.

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(b)

$Question 10, shown as an image$

You must show all your approximations in your working.

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(c)

Evaluate

Give your answer in its simplest form.

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Unit 1: Non-calculator June 2024 Higher tier, Question 1, also on the Intermediate paper 6 marks

(a)

Write the reciprocal of 4 as a decimal.

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(b)

$Question 1, shown as an image$

You must show all your approximations in your working.

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(c)

Evaluate

Give your answer in its simplest form.

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Unit 1: Non-calculator November 2023 Foundation tier, Question 2 7 marks

(a)

Arwyn doubles the number fifty-three thousand.

Write Arwyn’s answer in figures.

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(b)

Write 3572 correct to the nearest 100.

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(c)

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(d)

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(e)

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Unit 1: Non-calculator November 2022 Foundation tier, Question 3 2 marks

Figure for question 3

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Unit 1: Non-calculator November 2022 Foundation tier, Question 20, also on the Intermediate paper 2 marks

$Question 20, shown as an image$

You must show all your working.

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Unit 1: Non-calculator November 2022 Intermediate tier, Question 10, also on the Foundation paper 2 marks

$Question 10, shown as an image$

You must show all your working.

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Unit 2: Calculator-allowed November 2021 Intermediate tier, Question 3 6 marks

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

A company produces 440 boxes of paper clips each day. Each box contains between 320 and 330 paper clips.

Calculate the approximate total number of paper clips produced in 200 days. Give your answer to the nearest ten million.

You must show all your working.

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Unit 1: Non-calculator June 2019 Foundation tier, Question 2 5 marks

(a)

Figure for question 2

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(b)

Draw a reflection of this shape in the line PQ.

Figure for question 2

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Unit 1: Non-calculator June 2019 Intermediate tier, Question 14 3 marks

Figure for question 14

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Unit 1: Non-calculator June 2019 Higher tier, Question 5 3 marks

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Unit 1: Non-calculator November 2018 Foundation tier, Question 17, also on the Intermediate paper 4 marks

(a)

$Question 17, shown as an image$

You must show all your working.

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(b)

Given that 341 × 57 = 19 437, write down the answer to each of the following.

(b)(i)

3.41 × 5.7

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(b)(ii)

$Question 17, shown as an image$

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Unit 1: Non-calculator November 2018 Intermediate tier, Question 5, also on the Foundation paper 4 marks

(a)

$Question 5, shown as an image$

You must show all your working.

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(b)

Given that 341 × 57 = 19 437, write down the answer to each of the following.

(b)(i)

3.41 × 5.7

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(b)(ii)

$Question 5, shown as an image$

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Unit 1: Non-calculator June 2018 Intermediate tier, Question 10 3 marks

(a)

Figure for question 10

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(b)

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(c)

$Question 10, shown as an image$

Circle the correct answer.

$Question 10, shown as an image$

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Unit 1: Non-calculator June 2018 Higher tier, Question 1 3 marks

(a)

Circle the best approximate value for the following calculation.

110 12 11 120 10

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(b)

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(c)

$Question 1, shown as an image$

Circle the correct answer.

$Question 1, shown as an image$

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Unit 1: Non-calculator June 2017 Foundation tier, Question 2 2 marks

Figure for question 2

The shape above has been drawn on a centimetre square grid.

Estimate the area of the shape.

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Unit 1: Non-calculator June 2017 Foundation tier, Question 18, also on the Intermediate paper 5 marks

(a)

$Question 18, shown as an image$

You must show all your working.

[2]

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(b)

Given that 54 × 84.2 = 4546.8, write down the exact value of each of the following.

(b)(i)

540 × 842 =_........

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(b)(ii)

$Question 18, shown as an image$

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(b)(iii)

$Question 18, shown as an image$

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Unit 1: Non-calculator June 2017 Intermediate tier, Question 8, also on the Foundation paper 5 marks

(a)

$Question 8, shown as an image$

You must show all your working.

[2]

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(b)

Given that 54 × 84.2 = 4546.8, write down the exact value of each of the following.

(b)(i)

540 × 842 =_........

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(b)(ii)

$Question 8, shown as an image$

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(b)(iii)

$Question 8, shown as an image$

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