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 name given to a quadrilateral with exactly one pair of parallel sides.
- 2.A recipe uses 1.25 kg of flour. Work out how many grams of flour this is.
- 3.A parallelogram has an area of 84 cm² and a base of 12 cm. Work out the perpendicular height of the parallelogram.
- 4.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
- 5.A submarine travels due south. What is the three-figure bearing for this direction?
- 6.The bearing of a harbour B from a ferry's position A is 260°. What is the bearing of A from B?
- 7.A polygon has 12 straight sides. What is the mathematical name for this polygon?
- 8.A chocolate bar is a prism. Its cross-section is a triangle with a base of 6 cm and a perpendicular height of 5 cm, and the bar is 12 cm long. Work out the volume of the bar.
- 9.A quadrilateral has both pairs of opposite sides parallel and equal in length, but none of its angles are right angles. Which statement about this quadrilateral is correct?
- 10.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
- 11.A garden bed is designed as a trapezium. The two parallel sides are 8 m and 12 m, and the perpendicular distance between them is 5 m. Grass seed covers 4 m² per bag, sold only in whole bags. Work out how many bags of grass seed are needed.
- 12.Two similar triangular tiles have lengths in the ratio 3 : 5. The longest side of the smaller tile is 9 cm. Work out the length of the longest side of the larger tile.
- 13.Triangle LMN has a right angle at M, with hypotenuse LN = 15 cm and LM = 9 cm. Triangle PQR has a right angle at Q, with hypotenuse PR = 15 cm and PQ = 9 cm. Which condition proves the two triangles are congruent?
- 14.Two straight lines cross at a point. Which statement about a pair of vertically opposite angles is always true?
- 15.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
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