Geometry and measures worksheet — GCSE Foundation

1.A tent is shaped like a triangular prism: two triangular end faces and three rectangular faces. One of the rectangular faces lies flat on the ground as the groundsheet. How many of the tent's faces are above the ground, not touching the ground?

2.A circular table mat has diameter 20 cm. Yasmin has a 70 cm length of ribbon and sews it around the edge of the mat with no overlap. Using π = 3.14, work out how much ribbon is left over after going around the mat once.

3.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.

4.Write down how many right angles a rectangle has.

5.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.

6.State whether the line segment joining A(−4, 3) and B(2, 6) is horizontal, vertical or neither, and give a reason for your answer.

7.Write down the column vector, from the options given, that would move a point to the right and downwards.

8.The diagram shows a prism resting on a table. Which shape is its front elevation, the view looking at it from directly in front?

9.Which of the following is NOT one of the four basic conditions used to prove two triangles are congruent?

10.A sector of a circle has an angle of 150°. Work out what fraction of the circle's area the sector is.

11.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.

12.Triangle T has a vertex at (2, 1). It is enlarged by a scale factor of 3, centre (0, 0). Work out the coordinates of the image of this vertex.

14.A bottle holds 2 litres of water. A glass holds 250 ml. Work out how many of these glasses can be filled from one full bottle.

15.A ship's radar shows a lighthouse at the point (12, −4) on a grid measured in nautical miles. The ship is at (2, 5). The ship sails along the vector that takes it directly to the lighthouse, then sails along that same vector again. Work out the ship's final position.