Geometry and measures worksheet — GCSE Foundation

1.How many edges does a cube have?

2.A parallelogram has an area of 54 cm² and a base of 9 cm. Work out its perpendicular height.

3.A stained-glass window panel is designed as a kite. Two adjacent sides are each 25 cm, and the other two adjacent sides are each 40 cm. A frame is fitted around the whole panel. The frame costs £2.50 per metre, sold only in whole metres. Work out the total cost of the frame.

4.Work out the distance between the point (0, 0) and the point (5, 12).

5.A parallelogram has an area of 96 cm² and a base of 8 cm. Work out the perpendicular height of the parallelogram.

6.A tent's sloping side makes an angle of 45° with the ground. The sloping side is 3√2 m long. Using the exact value of sin 45°, work out the exact height of the tent.

7.In quadrilateral WXYZ, which of the following correctly names the angle at vertex Y using standard notation?

8.The bearing of a campsite B from a walker's position A is 070°. What is the bearing of A from B?

9.A bus journey takes 2.5 hours. Work out how many minutes this is.

10.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.

11.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).

12.A square tile has sides of length 6 cm. Work out the area of the tile.

13.The midpoint of the line segment AB is (3, 5). A is the point (1, 3). Work out the coordinates of B.

14.A tile manufacturer cuts a hexagonal tile so that all six sides measure exactly 4 cm, but a check shows only two pairs of the six interior angles are equal to each other, not all six angles. The customer's order specifies regular hexagonal tiles. Based on the check, is this tile a regular hexagon?

15.Point A and point B are 5 cm apart. How many points are exactly 4 cm from A and exactly 3 cm from B?