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.Point A has coordinates (2, 5). Point A is translated to point B using the column vector with top number 6 and bottom number −3. Write down the coordinates of point B.
- 2.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 3.Work out the exact value of sin 45° × cos 45°.
- 4.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 5.A trapezium has parallel sides of length 6 cm and 10 cm, and a perpendicular height of 4 cm. Work out its area.
- 6.In triangle ABC and triangle DEF, AB = DE, angle ABC = angle DEF and BC = EF. Write down the congruence condition that proves the two triangles are congruent.
- 7.How many vertices does a cuboid have?
- 8.A sector of a circle has radius 5 cm and angle 72°. Work out the arc length of the sector, in terms of π.
- 9.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 10.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 11.A is the point (1, 3) and B is the point (7, 3). Work out the coordinates of the midpoint of AB.
- 12.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.
- 13.A vertical line passes through the point (5, 2). Write down the equation of this line.
- 14.A submarine travels due south. What is the three-figure bearing for this direction?
- 15.An isosceles triangle ABC has AB equal to AC. AM is a line from vertex A, perpendicular to BC, meeting BC at point M. Which condition proves that triangle ABM is congruent to triangle ACM?
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