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.
Non-calculator
Geometry and measures worksheet — GCSE Foundation
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- 1.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 2.The column vector r has top number 2 and bottom number 6. Which of these column vectors is parallel to r?
- 3.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.
- 4.Two straight roads cross at a junction. The angle between them, measured with a protractor, is 118°. What is the size of the angle vertically opposite to it?
- 5.A polygon has 12 straight sides. What is the mathematical name for this polygon?
- 6.In a right-angled triangle, the two shorter sides are a and b, and the hypotenuse is c. Write down the correct statement of Pythagoras' theorem.
- 7.Shape S has an area of 48 cm². It is enlarged by a scale factor of 1/4 to give shape T. Work out the area of shape T.
- 8.A triangular prism has two triangular faces and three rectangular faces. How many vertices does a triangular prism have?
- 9.A bus journey takes 2.5 hours. Work out how many minutes this is.
- 10.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 11.In triangle PQR and triangle STU, PQ = ST, QR = TU and PR = SU. Write down the congruence condition that proves the two triangles are congruent.
- 12.The point (0, −5) lies on one of the two coordinate axes. Write down which axis this is.
- 13.A polygon has 9 sides. What is the name of this polygon?
- 14.The sum of the interior angles of a polygon is 1980°. Work out the number of sides of the polygon.
- 15.A rectangular gate is braced with a diagonal strut. The gate is 1.2 m wide and 0.9 m tall. Work out the exact length of the diagonal strut.
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