Geometry and measures worksheet — GCSE Foundation

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

2.Triangle ABC has a right angle at B and hypotenuse AC = 17 cm, with AB = 8 cm. Triangle DEF has a right angle at E and hypotenuse DF = 17 cm. Which extra fact about DEF would complete the RHS condition for proving that ABC ≅ DEF, with the vertices matching in that order?

3.Write down the number of lines of symmetry a rhombus has.

4.Triangle DEF is isosceles, with DE = DF. Angle E = 58°. Work out angle F.

5.Point D is at (3, 7). It is reflected in the line y = x. Work out the coordinates of the image of point D.

6.Point A has coordinates (2, 5). Point A is translated to point B using the column vector with top number 6 and bottom number −3. Write down the coordinates of point B.

7.Write down how many right angles a right-angled triangle has.

8.A rectangular tile measures 4.5 cm by 6 cm. Work out the area of the tile.

9.A cylindrical drum and a cuboid box are being wrapped for a display. A shop assistant wraps only the flat faces of each item, not any curved surface. How many flat faces in total does the assistant wrap across both items?

10.A locus consists of all the points that are the same perpendicular distance from two parallel lines 6 cm apart. Describe this locus.

11.Which of these describes an obtuse angle?

12.A bead starts at position (2, −1) on a grid, in centimetres. It is moved by the column vector u, with top number 3 and bottom number 5, and then moved by the column vector v, with top number −7 and bottom number 2. Work out the coordinates of the bead's final position.

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

14.Two similar flags have widths in the ratio 2 : 5. The width of the smaller flag is 8 cm. Work out the width of the larger flag.

15.A fish tank is a cuboid measuring 40 cm long, 25 cm wide and 30 cm high. Water is poured in to a depth of 20 cm. Work out the volume of water in the tank, in litres.