BREAKING
Student finds x, x refuses to elaborate★Paper 1 still non-calculator, nation in shock★Local teen shows working, examiner weeps with joy★
  1. Home
  2. GCSE
  3. Mathematics
  4. WJEC
  5. Compound measures

WJEC GCSE Maths

Topic questions Ratio, proportion and rates of change Compound measures

Compound measures

15 questions · 61 marks · about 1.5 hours

Compound measures questions

WJEC 3300 Compound measures 15 questions

Unit 1: Non-calculator June 2025 Foundation tier, Question 20, also on the Intermediate paper 3 marks

Geraint cycles 18 miles in 1 hour 30 minutes.

Calculate Geraint’s average speed.

Give your answer in miles per hour.

[3]
Reveal mark scheme Mark scheme for question 20

Unit 1: Non-calculator June 2025 Intermediate tier, Question 10, also on the Foundation paper 3 marks

Geraint cycles 18 miles in 1 hour 30 minutes.

Calculate Geraint’s average speed.

Give your answer in miles per hour.

[3]
Reveal mark scheme Mark scheme for question 10

Unit 1: Non-calculator June 2024 Intermediate tier, Question 17, also on the Higher paper 3 marks

A car travels a distance of x miles in 2 hours.

In the next hour, it travels a further distance of 36 miles.

Its average speed for the whole journey is 42 mph.

Calculate the value of x.

You must show all your working.

[3]
Reveal mark scheme Mark scheme for question 17

Unit 1: Non-calculator June 2024 Higher tier, Question 8, also on the Intermediate paper 3 marks

Also involves Linear equations

A car travels a distance of x miles in 2 hours.

In the next hour, it travels a further distance of 36 miles.

Its average speed for the whole journey is 42 mph.

Calculate the value of x.

You must show all your working.

[3]
Reveal mark scheme Mark scheme for question 8

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

Figure for question 14
(a)

Find the volume of the solid prism shown above.

[3]
Reveal mark scheme Mark scheme for question 14(a)
(b)

The solid prism is made of gold. Gold has a density of 19∙3 g/cm3. Calculate the mass of the prism.

Give your answer in kilograms.

[3]
Reveal mark scheme Mark scheme for question 14(b)

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

Figure for question 2
(a)

Find the volume of the solid prism shown above.

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

The solid prism is made of gold. Gold has a density of 19∙3 g/cm3. Calculate the mass of the prism.

Give your answer in kilograms.

[3]
Reveal mark scheme Mark scheme for question 2(b)

Unit 2: Calculator-allowed June 2023 Intermediate tier, Question 6 3 marks

A journey of 45 miles is travelled in 1 hour 15 minutes. Calculate the average speed of this journey.

Give your answer in mph.

[3]
Reveal mark scheme Mark scheme for question 6

Unit 2: Calculator-allowed November 2022 Intermediate tier, Question 11, also on the Higher paper 4 marks

A solid metal cylinder has a radius of 2∙3 cm and a height of 5 cm.

Figure for question 11

The mass of the cylinder is 423·1 g.

Find the density of the metal.

Give your answer in g/cm3.

[4]
Reveal mark scheme Mark scheme for question 11

Unit 2: Calculator-allowed November 2022 Higher tier, Question 1, also on the Intermediate paper 4 marks

A solid metal cylinder has a radius of 2∙3 cm and a height of 5 cm.

Figure for question 1

The mass of the cylinder is 423·1 g.

Find the density of the metal.

Give your answer in g/cm3.

[4]
Reveal mark scheme Mark scheme for question 1

Unit 2: Calculator-allowed June 2022 Foundation tier, Question 17, also on the Intermediate paper 3 marks

A car travels 129·5 miles in 3 hours 30 minutes. Calculate the average speed of the car.

Give your answer in miles per hour.

[3]
Reveal mark scheme Mark scheme for question 17

Unit 2: Calculator-allowed June 2022 Intermediate tier, Question 9, also on the Foundation paper 3 marks

A car travels 129·5 miles in 3 hours 30 minutes. Calculate the average speed of the car.

Give your answer in miles per hour.

[3]
Reveal mark scheme Mark scheme for question 9

Unit 1: Non-calculator June 2022 Higher tier, Question 13 6 marks

Marian is competing in a race.

The race is (6x + 5) miles long. She completes the race in x hours. Her average speed during the race is (2x + 3) miles per hour.

Calculate how long Marian takes to complete the race.

You must use an algebraic method (not trial and improvement).

[6]
Reveal mark scheme Mark scheme for question 13

Unit 1: Non-calculator November 2021 Intermediate tier, Question 9 5 marks

(a)

Express 54 miles as a percentage of 300 miles.

[2]
Reveal mark scheme Mark scheme for question 9(a)
(b)

A car travels 100 miles in 2 hours and 30 minutes.

Calculate its average speed in miles per hour.

[3]
Reveal mark scheme Mark scheme for question 9(b)

Unit 2: Calculator-allowed November 2019 Higher tier, Question 7 6 marks

A solid object is made by drilling a cylindrical hole of radius 4 cm through a cuboid measuring

20 cm by 15 cm by 10 cm as shown below.

Figure for question 7
(a)

Calculate the volume of the object.

Give your answer in cm3.

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

The object is made from a material which has a density of 2·4 g/cm3. Calculate the mass of the object.

Give your answer in kg, correct to the nearest kg.

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

Report a problem with a question on this page
What is wrong?

Goes to whoever maintains the question split. No account needed and nothing is published on this page.

Memes

Certified Maths memes. Peer-reviewed by nobody.

Laugh now. Cry in the exam hall later. Then come back and do a past paper.

Learn the formula
Draw a vague triangle and hope
Me with 4 minutes left on Paper 3
Using a calculator
Using the formula sheet
Doing it in your head
Writing ‘by inspection’ and walking out
Maths enlightenment, ranked

Mum 💖

did you do your maths homework sweetie?? 🥰

yes I solved for x

proud of you!!!

📱 Screen time this week · TikTok6h 7m

x was never found

Maths starter pack

Protractor you've never usedCalculator older than you“Show your working” traumaThis website
Collect all four