Geometry and measures worksheet — GCSE Foundation

1.Which pair of points lies on a horizontal line when the points are plotted on a coordinate grid?

2.The interior angles of a pentagon are 100°, 110°, 120°, x° and x°. Work out the size of each of the two angles marked x°.

3.A sector of a circle has radius 9 cm and angle 60°. Using π = 3.14, work out the area of the sector, to 1 decimal place.

4.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.

5.How many edges does a triangular prism have?

6.A circle has a radius of 3 cm. Work out the diameter of the circle.

7.Work out the gradient of the line segment joining A(2, 3) and B(6, 11).

8.A right-angled triangle has a hypotenuse of 10 cm and one of its other angles is 45°. Work out the length of one of the two shorter sides. Give your answer to 1 decimal place.

9.Two similar shapes have lengths in the ratio 1 : 3. A side of the smaller shape is 4 cm long. Work out the length of the corresponding side of the larger shape.

10.A landscaper marks out two triangular flower beds using stakes and a tape measure. Bed 1 has two edges of 5 m and 7 m, meeting at a corner with a marked angle of 60° between them. Bed 2 has edges of 5 m and 7 m, meeting at a corner also marked at 60° between them. The landscaper wants to check the two beds will be exactly the same size and shape using only these three measurements. Which condition proves the two beds are congruent?

11.Two sides of a triangle are 20 cm and 8 cm long. Write down which one of these lengths is possible for the third side.

12.A cube has all of its edges the same length. How many planes of symmetry does it have?

13.How many faces does a cuboid have?

14.Postcard P is similar to postcard Q. The 6 cm side of P corresponds to the 15 cm side of Q, and the 8 cm side of P corresponds to a matching side of Q. Work out the length of that matching side of Q.

15.Loose sweets are sold at £1.20 per 100 g. Work out the cost of 350 g of sweets.