Geometry and measures worksheet — GCSE Foundation

1.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?

2.The diagram shows a solid made from two cuboids joined together. Which shape is the front elevation of this solid?

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

4.Triangle XYZ has angle X = 90°. Angle Y = 34°. Work out angle Z.

5.A textbook contains the instruction 'Draw AB' and, on the next line, the statement 'AB = 5 cm'. Which statement about the notation AB is correct?

6.An angle measures 108°. Write down the name given to an angle of this size.

7.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.

8.How many faces does a cuboid have?

9.Write down which quadrant contains the point (−3, 5) when plotted on a coordinate grid.

11.Lines AB and CD cross at a point, forming four right angles where they meet. Which notation correctly describes the relationship between AB and CD?

12.A patio plan states: 'Side AB of the patio is parallel to side DC, and AB is longer than DC. Sides BC and AD are not parallel to each other and are not equal in length.' The four sides measure AB = 5.1 m, BC = 3.2 m, DC = 2.8 m and AD = 4.5 m. The tiler needs to order edging strip only for the sides that are not parallel to any other side. What total length of edging strip, in metres, should the tiler order?

13.A(1, 2), B(5, 2) and C(5, 6) are three of the four vertices of a square ABCD. Work out the coordinates of D.

14.A solid has 5 faces: one square face and four triangular faces, which all meet at a single point above the square. What is the name of this solid?

15.Two similar hexagonal tiles have lengths in the ratio 4 : 7. A side of the smaller tile is 8.4 cm long. Work out the length of the corresponding side of the larger tile.