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
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- 1.A plumber charges a £45 call-out fee, plus £28 for each hour worked. She works on a job for 3 hours 30 minutes, and her hours are billed by rounding up to the next whole hour. Work out the total amount she charges.
- 2.The diagram shows a prism resting on a table. Which shape is its front elevation, the view looking at it from directly in front?
- 3.Shape S is enlarged by a scale factor of 3, centre the origin. A vertex of S is at (2, 1). Work out the coordinates of the image of this vertex.
- 4.A drone starts at the point (3.5, −2) on a grid measured in metres. It flies by the vector to check a first sensor. The drone then needs to fly in a straight line to reach the point (−1.7, 9) to check a second sensor. Work out the column vector of this second flight.
- 5.A church tower is due east of a village. What is the three-figure bearing of the church tower from the village?
- 6.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.
- 7.A builder lays a low wall made from identical bricks. The diagram shows the plan of the wall's footprint on a grid, where each square is one brick. The wall is built up to a height of 4 bricks everywhere. Work out the total number of bricks used.
- 8.Two similar signs have lengths in the ratio 9 : 4. The larger sign has a side of length 14.4 cm. Work out the length of the corresponding side of the smaller sign.
- 9.Work out the exact value of cos 0° − sin 30°.
- 10.A circle has a radius of 1 cm. Work out the circumference of the circle. Give your answer in terms of π.
- 11.A builder props a straight plank against a vertical wall to reach a window ledge. The foot of the plank is 2.1 m from the base of the wall, and the plank is 3.5 m long. Work out how high up the wall the plank reaches.
- 12.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.
- 13.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 14.The point (5, −2) is reflected in the x-axis. Work out the coordinates of the image point.
- 15.The midpoint of the line segment AB is (3, 5). A is the point (1, 3). Work out the coordinates of B.
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