Printable · GCSE Foundation · ages 14-16
Geometry and measures worksheet — GCSE Foundation
Fifteen questions across the geometry and measures statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Geometry and measures worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.Triangle PQR has vertices P(0, 0), Q(6, 0) and R(0, 8). Work out the perimeter of the triangle.
- 2.Triangle PQR has vertices P(0, 0), Q(9, 0) and R(0, 4). Work out the area of triangle PQR.
- 3.A circular clock face has a diameter of 18 cm. Work out the circumference of the clock face. Use π = 3.14.
- 4.Two triangles are similar. The sides of the first triangle are 3 cm, 4 cm and 5 cm. The shortest side of the second triangle is 9 cm. Work out the scale factor from the first triangle to the second.
- 5.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 6.A right-angled triangle has a hypotenuse of 10 cm. One of its other angles is 45°. Work out the exact length of one of the two shorter sides.
- 7.The diagram shows a solid made from two cuboids joined together. Which shape is the front elevation of this solid?
- 8.A sector of a circle has radius 4 cm and angle 90°. Using π = 3.14, work out the area of the sector.
- 9.A bus journey takes 2.5 hours. Work out how many minutes this is.
- 10.A circular coaster has a radius of 4 cm. Work out the circumference of the coaster. Give your answer in terms of π.
- 11.A right-angled triangle has a hypotenuse of 10 cm and one of its other angles is 45°. Work out the length of one of the two shorter sides. Give your answer to 1 decimal place.
- 12.A photograph is 10 cm wide and 15 cm tall. It is enlarged to make a similar poster that is 40 cm wide. The poster costs £0.80 per centimetre of its height to print, based on its full height. Work out the cost of printing the poster.
- 13.Two similar hexagonal tiles have lengths in the ratio 4 : 7. A side of the smaller tile is 8.4 cm long. Work out the length of the corresponding side of the larger tile.
- 14.The point (0, −5) lies on one of the two coordinate axes. Write down which axis this is.
- 15.A parallelogram has an area of 54 cm² and a base of 9 cm. Work out its perpendicular height.
Build your own mix at the worksheet builder.