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WJEC GCSE Maths

Topic questions Number Rounding

Rounding

47 questions · 215 marks · about 5 hours

Rounding questions

WJEC 3300 Rounding 47 questions

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

(a)

Write twenty thousand, three hundred and six in figures.

[1]
Reveal mark scheme Mark scheme for question 1(a)
(b)
Question 1, shown as an image
[1]
Reveal mark scheme Mark scheme for question 1(b)
(c)

Subtract 435 from 826.

[1]
Reveal mark scheme Mark scheme for question 1(c)
(d)

Write 8467·2 correct to the nearest hundred.

[1]
Reveal mark scheme Mark scheme for question 1(d)
(e)

Estimate the value of 9·8 × 31·2.

[1]
Reveal mark scheme Mark scheme for question 1(e)

Unit 2: Calculator-allowed June 2025 Foundation tier, Question 7 4 marks

Find the value of each of the following.

(a)
Question 7, shown as an image

Write your answer correct to the nearest 10.

[2]
Reveal mark scheme Mark scheme for question 7(a)
(b)
Question 7, shown as an image

Write your answer correct to 1 decimal place.

[2]
Reveal mark scheme Mark scheme for question 7(b)

Unit 2: Calculator-allowed June 2025 Higher tier, Question 15 8 marks

Figure for question 15
(a)

Use the cosine rule to show that 3x2 +10x − 35 = 0.

[3]
Reveal mark scheme Mark scheme for question 15(a)
(b)

Solve the equation

You must use the quadratic formula and show all your working.

Give your answers correct to 2 decimal places.

[3]
Reveal mark scheme Mark scheme for question 15(b)
(c)

Evaluate the length of PQ.

You must justify any decision that you make.

[2]
Reveal mark scheme Mark scheme for question 15(c)

Unit 1: Non-calculator June 2024 Foundation tier, Question 1 2 marks

(a)

Calculate 5620 × 100.

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

Write 42 861 correct to the nearest hundred.

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

Unit 1: Non-calculator June 2024 Foundation tier, Question 9 4 marks

Write down the value of each of the following.

(a)
(a)(i)

72

[1]
Reveal mark scheme Mark scheme for question 9(a)(i)
(a)(ii)
Question 9, shown as an image
[1]
Reveal mark scheme Mark scheme for question 9(a)(ii)
(b)
(b)(i)

Write 19·731 correct to 1 decimal place.

[1]
Reveal mark scheme Mark scheme for question 9(b)(i)
(b)(ii)

Write 65·4279 correct to 3 decimal places.

[1]
Reveal mark scheme Mark scheme for question 9(b)(ii)

Unit 2: Calculator-allowed June 2024 Intermediate tier, Question 9 3 marks

Calculate the circumference of a circle with a radius of 38 cm.

Give your answer in cm, correct to 2 significant figures.

[3]
Reveal mark scheme Mark scheme for question 9

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.

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

Write 3572 correct to the nearest 100.

[1]
Reveal mark scheme Mark scheme for question 2(b)
(c)
Figure for question 2
[1]
Reveal mark scheme Mark scheme for question 2(c)
(d)
Figure for question 2
[2]
Reveal mark scheme Mark scheme for question 2(d)
(e)
Figure for question 2
[1]
Reveal mark scheme Mark scheme for question 2(e)

Unit 2: Calculator-allowed November 2023 Foundation tier, Question 8 7 marks

(a)
Question 8, shown as an image

Write your answer correct to the nearest thousand.

[2]
Reveal mark scheme Mark scheme for question 8(a)
(b)

Calculate 4% of £250.

[2]
Reveal mark scheme Mark scheme for question 8(b)
(c)

Laura thinks of a number.

Question 8, shown as an image

What is 50% of Laura’s number?

50% of Laura’s number is……………........ ………

[3]
Reveal mark scheme Mark scheme for question 8(c)

Unit 2: Calculator-allowed November 2023 Foundation tier, Question 14, also on the Intermediate paper 4 marks

(a)
Question 14, shown as an image

Give your answer correct to the nearest 10.

[2]
Reveal mark scheme Mark scheme for question 14(a)
(b)
Question 14, shown as an image

Give your answer correct to 1 decimal place.

[2]
Reveal mark scheme Mark scheme for question 14(b)

Unit 2: Calculator-allowed November 2023 Intermediate tier, Question 5, also on the Foundation paper 4 marks

(a)
Question 5, shown as an image

Give your answer correct to the nearest 10.

[2]
Reveal mark scheme Mark scheme for question 5(a)
(b)
Question 5, shown as an image

Give your answer correct to 1 decimal place.

[2]
Reveal mark scheme Mark scheme for question 5(b)

Unit 2: Calculator-allowed June 2023 Intermediate tier, Question 14, also on the Higher paper 6 marks

(a)
Question 14, shown as an image

Give your answer correct to 2 significant figures.

[2]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Calculate the reciprocal of 23.

Give your answer correct to 3 decimal places.

[2]
Reveal mark scheme Mark scheme for question 14(b)
(c)

Circle the correct answer for each of the following.

(c)(i)

The Lowest Common Multiple (LCM) of 4 and 6 is:

2 4 6 12 24

[1]
Reveal mark scheme Mark scheme for question 14(c)(i)
(c)(ii)

The Highest Common Factor (HCF) of 10 and 15 is:

5 10 15 30 150

[1]
Reveal mark scheme Mark scheme for question 14(c)(ii)

Unit 2: Calculator-allowed June 2023 Higher tier, Question 4, also on the Intermediate paper 6 marks

(a)
Question 4, shown as an image

Give your answer correct to 2 significant figures.

[2]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Calculate the reciprocal of 23.

Give your answer correct to 3 decimal places.

[2]
Reveal mark scheme Mark scheme for question 4(b)
(c)

Circle the correct answer for each of the following.

(c)(i)

The Lowest Common Multiple (LCM) of 4 and 6 is:

2 4 6 12 24

[1]
Reveal mark scheme Mark scheme for question 4(c)(i)
(c)(ii)

The Highest Common Factor (HCF) of 10 and 15 is:

5 10 15 30 150

[1]
Reveal mark scheme Mark scheme for question 4(c)(ii)

Unit 1: Non-calculator November 2022 Foundation tier, Question 1 6 marks

(a)

Write the number sixty-three thousand and twenty-nine in figures.

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

Write 2481 correct to the nearest 10.

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

Multiply 291 by 7.

[1]
Reveal mark scheme Mark scheme for question 1(c)
(d)

Subtract 513 from 842.

[1]
Reveal mark scheme Mark scheme for question 1(d)
(e)

A number is multiplied by 4 and then doubled. The answer is 56.

What is the number?

[2]
Reveal mark scheme Mark scheme for question 1(e)

Unit 2: Calculator-allowed November 2022 Foundation tier, Question 1 3 marks

(a)

One of the calculations below is incorrect.

Circle the incorrect calculation.

Question 1, shown as an image
[1]
Reveal mark scheme Mark scheme for question 1(a)
(b)

One of the numbers below is a multiple of 38.

Circle the multiple of 38.

2 19 338 388 3838

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

Computers cost £432 each.

How many can be bought with £9876?

[1]
Reveal mark scheme Mark scheme for question 1(c)

Unit 2: Calculator-allowed November 2022 Intermediate tier, Question 5 3 marks

(a)

Write 0·034 35 correct to two significant figures.

Circle your answer.

0·03 0·033 0·0344 0·034 0·034 00

[1]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Convert 6∙7 m2 into cm2.

Circle your answer.

670 6700 67 000 670 000 6 700 000

[1]
Reveal mark scheme Mark scheme for question 5(b)
(c)

Factorise 12e maths symbol15.

Circle your answer.

27e 3maths symbol4e maths symbol 5maths symbol 12maths symbole maths symbol15maths symbol 5(12e + 3) 15maths symbol0 maths symbol8e maths symbol 3maths symbol

[1]
Reveal mark scheme Mark scheme for question 5(c)

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

(a)

Write 2376 correct to the nearest ten.

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

Add 643 and 8972.

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

Calculate one fifth of 335.

[1]
Reveal mark scheme Mark scheme for question 1(c)
(d)

Subtract 516 from 894.

[1]
Reveal mark scheme Mark scheme for question 1(d)
(e)

Using all of the following digits, write down the smallest possible 4-digit number. 7, 1, 5, 2

[1]
Reveal mark scheme Mark scheme for question 1(e)

Unit 2: Calculator-allowed June 2022 Intermediate tier, Question 10 5 marks

The height of a cylinder is 24·8 cm. The ratio of the diameter of the cylinder to the height of the cylinder is 3: 2.

Find the volume of the cylinder. Give your answer correct to 2 significant figures.

You must show all your working.

[5]
Reveal mark scheme Mark scheme for question 10

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

(a)

Write forty thousand and sixty-five in figures.

[1]
Reveal mark scheme Mark scheme for question 3(a)
(b)

Round 5378 to the nearest hundred.

[1]
Reveal mark scheme Mark scheme for question 3(b)

Unit 2: Calculator-allowed November 2021 Foundation tier, Question 12 4 marks

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.

[4]
Reveal mark scheme Mark scheme for question 12

Unit 2: Calculator-allowed November 2021 Foundation tier, Question 16, also on the Intermediate paper 5 marks

(a)
Question 16, shown as an image

Give your answer correct to 3 decimal places.

[2]
Reveal mark scheme Mark scheme for question 16(a)
(b)

Evaluate

Question 16, shown as an image

Give your answer correct to the nearest whole number.

[3]
Reveal mark scheme Mark scheme for question 16(b)

Unit 2: Calculator-allowed November 2021 Intermediate tier, Question 7, also on the Foundation paper 5 marks

(a)
Question 7, shown as an image

Give your answer correct to 3 decimal places.

[2]
Reveal mark scheme Mark scheme for question 7(a)
(b)

Evaluate

Question 7, shown as an image

Give your answer correct to the nearest whole number.

[3]
Reveal mark scheme Mark scheme for question 7(b)

Unit 1: Non-calculator November 2020 Foundation tier, Question 3 2 marks

(a)

Write 637 correct to the nearest 100.

[1]
Reveal mark scheme Mark scheme for question 3(a)
(b)

Write 3892 correct to the nearest thousand.

[1]
Reveal mark scheme Mark scheme for question 3(b)

Unit 2: Calculator-allowed November 2020 Foundation tier, Question 10 7 marks

(a)(i)
Question 10, shown as an image
[1]
Reveal mark scheme Mark scheme for question 10(a)(i)
(a)
(a)(ii)

Evaluate 5·43 × 3·72.

Give your answer correct to the nearest 10.

[2]
Reveal mark scheme Mark scheme for question 10(a)(ii)
(b)

Find 62% of 7·8.

[2]
Reveal mark scheme Mark scheme for question 10(b)
(c)(i)

Which one of the following numbers is a multiple of 19?

Circle your answer.

91 151 199 219 247

[1]
Reveal mark scheme Mark scheme for question 10(c)(i)
(c)
(c)(ii)

Which one of the following numbers is a cube number?

Circle your answer.

1197 2197 3197 4197 5197

[1]
Reveal mark scheme Mark scheme for question 10(c)(ii)

Unit 2: Calculator-allowed November 2020 Foundation tier, Question 12, also on the Intermediate paper 4 marks

Identical rods can be placed end to end, as shown below.

Each rod is 17·5 cm long.

Figure for question 12

How many of these rods can be placed, in this way, between two points 4 metres apart?

[4]
Reveal mark scheme Mark scheme for question 12

Unit 1: Non-calculator November 2020 Intermediate tier, Question 3 6 marks

(a)

Calculate each of the following.

(a)(i)

33 × 102

[2]
Reveal mark scheme Mark scheme for question 3(a)(i)
(a)(ii)

0·4 × 0·2

[1]
Reveal mark scheme Mark scheme for question 3(a)(ii)
(a)(iii)
Question 3, shown as an image
[2]
Reveal mark scheme Mark scheme for question 3(a)(iii)
(b)

Write down the value of 0·0493, correct to 1 significant figure.

[1]
Reveal mark scheme Mark scheme for question 3(b)

Unit 2: Calculator-allowed November 2020 Intermediate tier, Question 3, also on the Foundation paper 4 marks

Identical rods can be placed end to end, as shown below.

Each rod is 17·5 cm long.

Figure for question 3

How many of these rods can be placed, in this way, between two points 4 metres apart?

[4]
Reveal mark scheme Mark scheme for question 3

Unit 1: Non-calculator November 2020 Higher tier, Question 10 6 marks

A farmer knows that the time, t, taken by goats to eat all the grass in a particular field is inversely proportional to the number of goats, g, in the field.

When there are 25 goats in the field, the time taken to eat all the grass is 36 days.

You may assume that all the goats eat grass at the same rate.

(a)

Find a formula for the time, t, in terms of the number of goats, g.

[3]
Reveal mark scheme Mark scheme for question 10(a)
(b)

Hence, find the time taken for all of the grass to be eaten when there are 20 goats in the

field.

[1]
Reveal mark scheme Mark scheme for question 10(b)
(c)

The farmer needs the grass to last for at least 40 days.

What is the greatest number of goats that should be allowed in the field?

[2]
Reveal mark scheme Mark scheme for question 10(c)

Unit 1: Non-calculator June 2019 Foundation tier, Question 5 4 marks

(a)

Write 481·627 correct to 2 decimal places.

[1]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Write down the value of 82. (b)

[1]
Reveal mark scheme Mark scheme for question 5(b)
(c)
Question 5, shown as an image
[1]
Reveal mark scheme Mark scheme for question 5(c)
(d)

Work out 38·25 ÷ 1000.

[1]
Reveal mark scheme Mark scheme for question 5(d)

Unit 2: Calculator-allowed June 2019 Foundation tier, Question 15 5 marks

18% of £256 is shared in the ratio 2: 1. Calculate the value of the larger share. Give your answer to the nearest 10p.

You must show all your working.

[5]
Reveal mark scheme Mark scheme for question 15

Unit 2: Calculator-allowed June 2019 Intermediate tier, Question 1 6 marks

(a)

Calculate each of the following.

(a)(i)
Question 1, shown as an image
[2]
Reveal mark scheme Mark scheme for question 1(a)(i)
(a)(ii)
Question 1, shown as an image
[1]
Reveal mark scheme Mark scheme for question 1(a)(ii)
(a)(iii)

1000 × (the reciprocal of 8)

[2]
Reveal mark scheme Mark scheme for question 1(a)(iii)
(b)

Write 437·6 correct to 2 significant figures.

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

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.

[2]
Reveal mark scheme Mark scheme for question 17(a)
(b)

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

(b)(i)

3.41 × 5.7

[1]
Reveal mark scheme Mark scheme for question 17(b)(i)
(b)(ii)
Question 17, shown as an image
[1]
Reveal mark scheme Mark scheme for question 17(b)(ii)

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.

[2]
Reveal mark scheme Mark scheme for question 5(a)
(b)

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

(b)(i)

3.41 × 5.7

[1]
Reveal mark scheme Mark scheme for question 5(b)(i)
(b)(ii)
Question 5, shown as an image
[1]
Reveal mark scheme Mark scheme for question 5(b)(ii)

Unit 2: Calculator-allowed June 2018 Foundation tier, Question 2 2 marks

(a)

Write 2453 correct to the nearest 10.

[1]
Reveal mark scheme Mark scheme for question 2(a)
(b)

Write in figures the number that is one less than ten thousand.

[1]
Reveal mark scheme Mark scheme for question 2(b)

Unit 2: Calculator-allowed June 2018 Foundation tier, Question 3 4 marks

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

Books cost £2.80 each. What is the greatest number of books that can be bought with £35?

You must show all your working.

[4]
Reveal mark scheme Mark scheme for question 3

Unit 2: Calculator-allowed June 2018 Intermediate tier, Question 11, also on the Higher paper 4 marks

(a)
Question 11, shown as an image
[2]
Reveal mark scheme Mark scheme for question 11(a)
(b)

Calculate the reciprocal of 47, giving your answer correct to 4 decimal places.

[2]
Reveal mark scheme Mark scheme for question 11(b)

Unit 2: Calculator-allowed June 2018 Higher tier, Question 1, also on the Intermediate paper 4 marks

(a)
Question 1, shown as an image
[2]
Reveal mark scheme Mark scheme for question 1(a)
(b)

Calculate the reciprocal of 47, giving your answer correct to 4 decimal places.

[2]
Reveal mark scheme Mark scheme for question 1(b)

Unit 2: Calculator-allowed November 2017 Intermediate tier, Question 1 8 marks

(a)

Calculate 8% of £3.25.

[3]
Reveal mark scheme Mark scheme for question 1(a)
(b)
Question 1, shown as an image
[3]
Reveal mark scheme Mark scheme for question 1(b)
(c)
Question 1, shown as an image

Give your answer correct to 2 decimal places.

[2]
Reveal mark scheme Mark scheme for question 1(c)

Unit 1: Non-calculator June 2017 Intermediate tier, Question 8 5 marks

(a)
Question 8, shown as an image

You must show all your working.

[2]
Reveal mark scheme Mark scheme for question 8(a)
(b)

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

(b)(i)

540 × 842 =........

[1]
Reveal mark scheme Mark scheme for question 8(b)(i)
(b)(ii)
Question 8, shown as an image
[1]
Reveal mark scheme Mark scheme for question 8(b)(ii)
(b)(iii)
Question 8, shown as an image
[1]
Reveal mark scheme Mark scheme for question 8(b)(iii)

Unit 2: Calculator-allowed June 2017 Intermediate tier, Question 1 7 marks

(a)

Calculate 39% of £576.

[2]
Reveal mark scheme Mark scheme for question 1(a)
(b)
Question 1, shown as an image

Give your answer correct to the nearest whole number.

[2]
Reveal mark scheme Mark scheme for question 1(b)
(c)

How many quarters are there in 10?

[1]
Reveal mark scheme Mark scheme for question 1(c)
(d)
Question 1, shown as an image
[1]
Reveal mark scheme Mark scheme for question 1(d)
(e)

Circle the fraction that is a recurring decimal.

Question 1, shown as an image
[1]
Reveal mark scheme Mark scheme for question 1(e)

Unit 2: Calculator-allowed June 2017 Intermediate tier, Question 11, also on the Higher paper 4 marks

(a)
Question 11, shown as an image
[2]
Reveal mark scheme Mark scheme for question 11(a)
(b)

Calculate the reciprocal of −0.07, correct to 1 decimal place.

[2]
Reveal mark scheme Mark scheme for question 11(b)

Unit 2: Calculator-allowed June 2017 Higher tier, Question 1, also on the Intermediate paper 4 marks

(a)
Question 1, shown as an image
[2]
Reveal mark scheme Mark scheme for question 1(a)
(b)

Calculate the reciprocal of −0.07, correct to 1 decimal place.

[2]
Reveal mark scheme Mark scheme for question 1(b)

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