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.
Reveal mark scheme
WJEC GCSE Maths
Topic questions Ratio, proportion and rates of change Compound measures
15 questions · 61 marks · about 1.5 hours
Geraint cycles 18 miles in 1 hour 30 minutes.
Calculate Geraint’s average speed.
Give your answer in miles per hour.
Geraint cycles 18 miles in 1 hour 30 minutes.
Calculate Geraint’s average speed.
Give your answer in miles per hour.
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.
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.
Find the volume of the solid prism shown above.
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.
Find the volume of the solid prism shown above.
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.
A journey of 45 miles is travelled in 1 hour 15 minutes. Calculate the average speed of this journey.
Give your answer in mph.
A solid metal cylinder has a radius of 2∙3 cm and a height of 5 cm.
The mass of the cylinder is 423·1 g.
Find the density of the metal.
Give your answer in g/cm3.
A solid metal cylinder has a radius of 2∙3 cm and a height of 5 cm.
The mass of the cylinder is 423·1 g.
Find the density of the metal.
Give your answer in g/cm3.
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.
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.
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).
A car travels 100 miles in 2 hours and 30 minutes.
Calculate its average speed in miles per hour.
Express 54 miles as a percentage of 300 miles.
A car travels 100 miles in 2 hours and 30 minutes.
Calculate its average speed in miles per hour.
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.
Calculate the volume of the object.
Give your answer in cm3.
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.
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