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 6 cm and an arc length of 15.7 cm. Using π = 3.14, work out the angle of the sector.
- 2.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 3.A circular clock face has a diameter of 18 cm. Work out the circumference of the clock face. Use π = 3.14.
- 4.A sector of a circle has radius 10 cm and angle 72°. Using π = 3.14, work out the arc length of the sector.
- 5.A robotic arm's tip starts at the point (12.5, −4.25) on a grid measured in centimetres. It moves by the vector to pick up a component, then by the vector to place it. Work out the coordinates of the tip after both moves.
- 6.Two straight lines AB and CD cross at point O. Angle AOC = 74°. Work out angle AOD.
- 7.Which of the following is NOT one of the four basic conditions used to prove two triangles are congruent?
- 8.A sector has an angle of 45°. Priti says: 'The area of the sector is one eighth of the area of the full circle, whatever the radius is.' Is Priti correct?
- 9.A quadrilateral has angles of 100°, 85° and 95° at three of its vertices. Work out the fourth angle.
- 10.A garden flower bed is in the shape of a trapezium. Its two parallel edges are 3.5 m and 6.5 m long, and the perpendicular distance between them is 4 m. Bedding plants cost £2.50 per square metre to cover the bed. Work out the total cost of the bedding plants.
- 11.In the RHS congruence condition, which three facts must be true about two triangles for RHS to prove they are congruent?
- 12.Two similar shapes have lengths in the ratio 1 : 3. A side of the smaller shape is 4 cm long. Work out the length of the corresponding side of the larger shape.
- 13.Write down the exact value of cos 60°.
- 14.A circular table mat has diameter 20 cm. Yasmin has a 70 cm length of ribbon and sews it around the edge of the mat with no overlap. Using π = 3.14, work out how much ribbon is left over after going around the mat once.
- 15.A regular polygon has an interior angle of 156°. Work out the number of sides of the polygon.
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