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.
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Geometry and measures worksheet — GCSE Foundation
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- 1.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.
- 2.In triangle ABC the angle at A and the angle at C are equal. The side AB is extended beyond B, and the exterior angle formed at B measures 98°. Work out the size of the angle at A.
- 3.A triangular prism has two triangular faces and three rectangular faces. How many vertices does a triangular prism have?
- 4.A quadrilateral has exactly two lines of symmetry, its two pairs of opposite angles are equal, and its diagonals are not equal in length. Write down the name of this quadrilateral.
- 5.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 6.Lines AB and CD cross at a point, forming four right angles where they meet. Which notation correctly describes the relationship between AB and CD?
- 7.A regular polygon has an exterior angle of 45°. Work out the number of sides of the polygon.
- 8.Write down the exact value of cos 30°.
- 9.A circle has a radius of 1 cm. Work out the circumference of the circle. Give your answer in terms of π.
- 10.Three angles lie on a straight line. They measure 38°, 95° and x°. Work out the value of x.
- 11.A triangular prism has a cross-section that is a triangle with a base of 3.5 cm and a perpendicular height of 4 cm. The prism is 10 cm long. Work out the volume of the prism.
- 12.Write down the exact value of sin 60°.
- 13.The bearing of a harbour B from a ferry's position A is 260°. What is the bearing of A from B?
- 14.Triangle ABC is similar to triangle PQR. Side AB is 8 cm and corresponds to side PQ, which is 12 cm. Side AC is 6 cm and corresponds to side PR. Work out the length of PR.
- 15.A rectangular name card has a perimeter of 30 cm. The card is 9 cm long. Work out the width of the card.
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