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.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 2.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 3.In quadrilateral ABCD, side AB is parallel to side DC. Which statement correctly uses geometric notation to show this?
- 4.A sign-maker is told a metal bracket outline must have two pairs of adjacent sides equal in length (not opposite pairs), exactly one pair of opposite angles equal, and exactly one line of symmetry. Which quadrilateral matches this description?
- 5.In a phone game, a character starts at the point (−5, 2) on a grid. It moves by the vector to collect a coin. The player now wants the character's next single move to finish at the point (3, 0). Write down the column vector of that second move.
- 6.A garden shed is shaped like a triangular prism: two identical vertical triangular end walls (the gable ends), joined by a sloping rectangular roof and a vertical rectangular back wall. Looking at the shed from directly above (the plan view), what shape is seen?
- 7.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 8.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 9.A square tile has sides of length 6 cm. Work out the area of the tile.
- 10.Point B is at (1, 6). It is reflected in the x-axis. Work out the coordinates of the image of point B.
- 11.Triangle PQR has vertices P(0, 0), Q(6, 0) and R(0, 8). Work out the perimeter of the triangle.
- 12.Triangle PQR has vertices P(0, 0), Q(9, 0) and R(0, 4). Work out the area of triangle PQR.
- 13.What does the statement AB = CD mean, where A, B, C and D are all points?
- 14.A regular polygon has 12 sides. Work out the size of one exterior angle of the polygon.
- 15.a is the column vector with top number 3 and bottom number 2. b is the column vector with top number −1 and bottom number 4. Work out a + b, giving your answer as a column vector in the form (top, bottom).
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