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 exact value of tan 45°.
- 2.The diagram shows the plan, front elevation and side elevation of a solid. Which solid could this be?
- 3.A hiker starts by walking on a bearing of 245°. She turns clockwise through 50°, then turns clockwise through a further 15°, and continues walking in a straight line. What bearing is she now walking on?
- 4.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
- 5.Two similar triangles have lengths in the ratio 2 : 5. The sides of the smaller triangle are 4 cm, 6 cm and 8 cm. Work out the length of the longest side of the larger triangle.
- 6.The diagram shows the plan, front elevation and side elevation of a solid. Which of these solids matches all three views?
- 7.A square tile has sides of length 6 cm. Work out the area of the tile.
- 8.A straight line crosses a pair of parallel lines. One of the co-interior (allied) angles is 118°. Work out the size of the other co-interior angle.
- 9.A regular polygon has an interior angle of 156°. Work out the number of sides of the polygon.
- 10.Postcard P is similar to postcard Q. The 6 cm side of P corresponds to the 15 cm side of Q, and the 8 cm side of P corresponds to a matching side of Q. Work out the length of that matching side of Q.
- 11.Write down the exact value of sin 0°.
- 12.Point B is at (1, 6). It is reflected in the x-axis. Work out the coordinates of the image of point B.
- 13.Write down the name given to a triangle whose three sides are all the same length.
- 14.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
- 15.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
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