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 solid has 6 faces: one pentagon and five triangles that all meet at a single point above the pentagon. What is the name of this solid?
- 2.Three angles lie on a straight line. They measure 38°, 95° and x°. Work out the value of x.
- 3.Triangle DEF is isosceles, with DE = DF. Angle E = 58°. Work out angle F.
- 4.A plumber charges a £45 call-out fee, plus £28 for each hour worked. She works on a job for 3 hours 30 minutes, and her hours are billed by rounding up to the next whole hour. Work out the total amount she charges.
- 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.Triangle T has a vertex at (2, 1). It is enlarged by a scale factor of 3, centre (0, 0). Work out the coordinates of the image of this vertex.
- 7.A hexagonal prism lies on a table. A flat cut is made straight across it, at right angles to its length (so the cut is parallel to the two identical end faces). What shape is the cross-section?
- 8.A hexagon has interior angles of 130°, 142°, 125°, 150°, 135° and x°. Work out the value of x.
- 9.Two similar triangles have lengths in the ratio 5 : 8. A side of the smaller triangle is 6.5 cm. Work out the length of the corresponding side of the larger triangle.
- 10.A parallelogram has a base of 9 cm and a perpendicular height of 4 cm. Work out its area.
- 11.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 12.Write down the exact value of cos 60°.
- 13.Two of the angles in a triangle are 50° and 70°. Work out the size of the third angle.
- 14.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
- 15.A solid has one curved surface and two flat circular faces of equal size, one at each end. What is the name of this solid?
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