Geometry and measures worksheet — GCSE Foundation

1.How many vertices does a cylinder have?

2.A regular polygon has 5 lines of symmetry. What is the order of rotational symmetry of this polygon?

3.A triangular prism has two triangular faces and three rectangular faces. How many vertices does a triangular prism have?

4.Triangle ABC has AB = 5 cm, BC = 7 cm and CA = 9 cm. Triangle DEF has DE = 5 cm, EF = 7 cm and FD = 9 cm. Which condition proves the two triangles are congruent?

5.A market stall sells apples at £2.40 per kilogram. Which of these expressions gives the cost, in pounds, of buying m kilograms of apples?

6.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.

7.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.

8.Write down the mathematical name for a quadrilateral that has exactly one pair of parallel sides.

9.In this question, a curved surface counts as a face. How many faces does a sphere have?

10.In triangle ABC and triangle DEF, AB = DE, angle ABC = angle DEF and BC = EF. Write down the congruence condition that proves the two triangles are congruent.

11.A polygon has one more side than a heptagon. What is the polygon called?

12.A survey team measures the angle between two fences with a protractor and gets a reading of 254°. What type of angle is this?

13.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.

14.A regular nonagon has 9 sides. Work out the sum of its interior angles.

15.A shop stacks identical storage crates in a display. The diagram shows the plan of the floor positions used, with one corner position marked. Every floor position is filled with crates stacked 3 high, except the marked corner position, which is left completely empty. Work out how many crates are used in total.