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
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- 1.In the RHS congruence condition, which three facts must be true about two triangles for RHS to prove they are congruent?
- 2.Triangles LMN and XYZ have LM = XY, MN = YZ and LN = XZ. Give a reason why triangle LMN is congruent to triangle XYZ.
- 3.Three angles meet at a single point on one side of a straight line. Two of the angles are 48° and 65°. Work out the third angle.
- 4.A hiker walks due west. What is the three-figure bearing for this direction?
- 5.A chord divides a circle into two regions, one larger than the other. Write down the term used for the smaller of these two regions.
- 6.A polygon has 9 sides. What is the name of this polygon?
- 7.A flower bed in the shape of a parallelogram has a base of 3.5 m and a perpendicular height of 2 m. Compost costs £4.80 per m². Work out the total cost of covering the flower bed with compost.
- 8.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 9.A regular nonagon has 9 sides. Work out the sum of its interior angles.
- 10.A cuboid measures 5 cm long (left to right), 3 cm deep (front to back) and 2 cm tall. Its front elevation is 5 cm wide by 2 cm high. Its side elevation is 3 cm wide by 2 cm high. What are the dimensions of its plan view, looking down from above?
- 11.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 12.A hexagon has interior angles of 130°, 142°, 125°, 150°, 135° and x°. Work out the value of x.
- 13.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
- 14.In a right-angled triangle, θ is one of the acute angles. Write down the trigonometric ratio, in terms of the opposite and adjacent sides, that is used to find θ.
- 15.A photograph is 10 cm wide and 15 cm tall. It is enlarged to make a similar poster that is 40 cm wide. The poster costs £0.80 per centimetre of its height to print, based on its full height. Work out the cost of printing the poster.
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