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.Triangle ABC is isosceles, with AB = AC. Angle B = 70°. Which reason correctly explains why angle C = 70°?
- 2.The diagram shows the plan, front elevation and side elevation of a solid. Which solid could this be?
- 3.Write down the number of lines of symmetry a rhombus has.
- 4.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
- 5.Work out the exact value of sin 45° × cos 45°.
- 6.In this question, a curved surface counts as a face. How many faces does a sphere have?
- 7.In quadrilateral WXYZ, which of the following correctly names the angle at vertex Y using standard notation?
- 8.A regular nonagon has 9 sides. Work out the sum of its interior angles.
- 9.A flagpole is 12 m tall. Freya stands 9 m from the base of the flagpole on level ground. Work out the angle of elevation of the top of the flagpole from where Freya stands. Give your answer correct to 1 decimal place.
- 10.A circle has centre O. Radii OA and OB are drawn, together with the arc AB, enclosing a sector. The straight chord AB is also drawn. Write down the name of the region enclosed between the chord AB and the arc AB.
- 11.A model car is built to a scale of 1 : 24. The real car is 4.32 m long. Work out the length of the model, in centimetres.
- 12.ABCD is an isosceles trapezium. The sides AB and DC are parallel, and the two sloping sides AD and BC are equal in length. Angle D is 112°. Work out the size of angle B.
- 13.A perpendicular bisector is drawn through the midpoint of a line segment AB. Which set of points does this construction show?
- 14.e is the column vector with top number 5 and bottom number k. f is the column vector with top number 15 and bottom number 6. Given that f is 3 times e, work out the value of k.
- 15.A scale drawing of a bridge uses a scale of 1 : 25. A support beam on the drawing measures 4.4 cm. What is the real length of the beam, in metres?
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