Module 7 · Practice
Practice questions
Three difficulty levels. Have a proper go before checking the answers.
Section A — Easy
Warm-up
How many faces, edges and vertices does a triangular prism have?
Find the volume of a cuboid 6cm × 4cm × 5cm.
Find the surface area of a cube with side 5cm.
A right-angled triangle has legs 6cm and 8cm. Find the hypotenuse.
A right-angled triangle has hypotenuse 17cm and one leg 8cm. Find the other leg.
Section B — Medium
Typical Year 8 standard
Find the volume and surface area of a cuboid 8cm × 5cm × 3cm.
A cube has volume 216 cm³. Find the side length.
A right-angled triangle has legs 5cm and 12cm. Find the hypotenuse.
A right-angled triangle has legs 7cm and 9cm. Find the hypotenuse to 1 d.p.
A ladder is 6m long. Its base is 1.8m from the wall. How high up the wall does it reach? (1 d.p.)
A box is 12cm long, 9cm wide and 4cm tall. Will a 16cm pencil fit flat in the bottom of the box (i.e. along its base diagonal)?
Section C — Hard
Challenge / problem-solving
A cuboid has volume 240 cm³. Its base is 8cm × 6cm. Find:
A rectangle is 9cm by 12cm. Find the length of its diagonal.
A field is rectangular, 80m by 60m. A path runs diagonally across the field. How much shorter is the diagonal path than walking along two sides?
An isosceles triangle has two equal sides of length 13cm and a base of 10cm. Find:
A cube has surface area 96 cm². Find its volume.