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WJEC GCSE Maths

Topic questions Pure mathematics Surds

Surds

17 questions · 77 marks · about 1.5 hours

Surds questions

Unit 1: Non-calculator June 2025 Higher tier, Question 19 5 marks

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Unit 1: Non-calculator November 2024 Higher tier, Question 12 6 marks

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Unit 1: Non-calculator November 2024 Higher tier, Question 15 4 marks

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Unit 1: Non-calculator June 2024 Higher tier, Question 15 3 marks

(a)

Circle the correct answer in each of the following questions:

(a)(i)

$Question 15, shown as an image$

$Question 15, shown as an image$

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(a)(ii)

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(b)

$Question 15, shown as an image$

$Question 15, shown as an image$

$Question 15, shown as an image$

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Unit 1: Non-calculator November 2023 Higher tier, Question 16 7 marks

(a)

Circle the correct answer for each of the following statements.

(a)(i)

$Question 16, shown as an image$

$Question 16, shown as an image$

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(a)(ii)

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(b)

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(c)

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(d)

Give an example of an irrational number that lies between 6 and 7.

My example of an irrational number is_........

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Unit 1: Non-calculator June 2023 Higher tier, Question 17 5 marks

(a)

$Question 17, shown as an image$

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(b)

(b)(i)

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(b)(ii)

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(b)(iii)

Write down an integer value of x that is greater than 5, for which $fraction$ and $fraction$

are both rational.

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Unit 1: Non-calculator November 2022 Higher tier, Question 17 3 marks

Evaluate the mean of the following three numbers:

$Question 17, shown as an image$

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Unit 1: Non-calculator June 2022 Higher tier, Question 15 5 marks

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Unit 1: Non-calculator November 2021 Higher tier, Question 16 3 marks

$Question 16, shown as an image$

$Question 16, shown as an image$

(a)

c is equal to

$Question 16, shown as an image$

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(b)

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(c)

e⁵ is equal to

$Question 16, shown as an image$

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Unit 1: Non-calculator November 2020 Higher tier, Question 14 5 marks

(a)

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(b)

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$Question 14, shown as an image$

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(c)

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Unit 1: Non-calculator November 2019 Higher tier, Question 15 5 marks

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Unit 1: Non-calculator June 2019 Higher tier, Question 15 3 marks

(a)

$Question 15, shown as an image$

$Question 15, shown as an image$

$Question 15, shown as an image$

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(b)

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Unit 1: Non-calculator November 2018 Higher tier, Question 15 8 marks

(a)

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(b)(i)

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(b)

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(c)

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Unit 1: Non-calculator June 2018 Higher tier, Question 15 4 marks

(a)

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(b)

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Unit 1: Non-calculator November 2017 Higher tier, Question 16 3 marks

$Question 16, shown as an image$

$Question 16, shown as an image$

(a)

p is equal to

$Question 16, shown as an image$

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(b)

pq is equal to

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(c)

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Unit 1: Non-calculator June 2017 Higher tier, Question 11 6 marks

(a)

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Unit 2: Calculator-allowed June 2017 Higher tier, Question 19 2 marks

(a)

Give one example to show that the square of an irrational number is not always rational.

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(b)

Find two different irrational numbers to make the answer to the calculation below rational.

Complete the calculation by filling in the three boxes.

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