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.
Geometry and measures worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.A rectangular bookmark measures 2 cm by 25 cm. Work out the area of the bookmark.
- 2.A quadrilateral has all four sides equal in length and all four interior angles equal to 90°. Its diagonals are equal in length and bisect each other at right angles. Which quadrilateral matches this description exactly?
- 3.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 4.A right-angled triangle has a hypotenuse of 10 cm and one of its other angles is 45°. Work out the length of one of the two shorter sides. Give your answer to 1 decimal place.
- 5.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
- 6.Triangles PQS and RQS share the common side QS. PQ equals RQ, and PS equals RS. Which condition proves that triangle PQS is congruent to triangle RQS?
- 7.In quadrilateral ABCD, side AB is parallel to side DC. Which statement correctly uses geometric notation to show this?
- 8.A scale model of a bridge is built so that 2 cm on the model represents 5 m of the real bridge. The real bridge is 45 m long. Work out the length of the model bridge, in centimetres.
- 9.A parallelogram has a base of 9 cm and a perpendicular height of 6 cm. Work out the area of the parallelogram.
- 10.A ship's radar can detect other ships up to 20 km away, over a sector-shaped area with angle 90°. A monitoring company charges £0.50 per square kilometre covered by one radar sweep. Using π = 3.14, work out the total charge for one sweep.
- 11.A solid has 6 faces and 8 vertices. Using the formula F + V − E = 2, work out how many edges it has.
- 12.Point D is at (3, 7). It is reflected in the line y = x. Work out the coordinates of the image of point D.y = x
- 13.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 14.A sector of a circle has radius 4 cm and angle 90°. Using π = 3.14, work out the area of the sector.
- 15.A recipe uses 1.25 kg of flour. Work out how many grams of flour this is.
Build your own mix at the worksheet builder.