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 sector of a circle has radius 4 cm and angle 90°. Using π = 3.14, work out the area of the sector.
- 2.Each of these has an exact value. Write down the one whose value is the greatest.
- 3.Triangle ABC has AB = 5 cm and BC = 7 cm. Triangle DEF has DE = 5 cm and EF = 7 cm. Which extra fact would prove the triangles are congruent by SAS?
- 4.Work out the distance between the point (0, 0) and the point (5, 12).
- 5.Put sin 30°, tan 30° and cos 30° in order of size, starting with the smallest.
- 6.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 7.The top of a clock tower is 25 m above level ground. Oliver stands on the ground 25 m from the foot of the tower. Work out the angle of elevation of the top of the tower from the point where Oliver stands.
- 8.Postcard P is similar to postcard Q. The 6 cm side of P corresponds to the 15 cm side of Q, and the 8 cm side of P corresponds to a matching side of Q. Work out the length of that matching side of Q.
- 9.A regular polygon has 12 sides. Work out the size of one exterior angle of the polygon.
- 10.A quadrilateral has angles of 100°, 85° and 95° at three of its vertices. Work out the fourth angle.
- 11.A sector of a circle has radius 6 cm and angle 60°. Work out the arc length of the sector, in terms of π.
- 12.How many edges does a triangular prism have?
- 13.The diagram shows a solid resting on its side on a table. Work out which shape is its plan view, the view looking straight down from above.
- 14.Write down which quadrant contains the point (−3, 5) when plotted on a coordinate grid.
- 15.A cake recipe takes 135 minutes from start to finish. Write this time as hours and minutes.
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