Geometry and measures worksheet — GCSE Foundation

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

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

3.A right-angled triangle has a hypotenuse of 10 cm. One of its other angles is 45°. Work out the exact length of one of the two shorter sides.

4.Triangle ABC is right-angled at B. Triangle DEF is right-angled at E. AB = DE = 6 cm and AC = DF = 10 cm (AC and DF are the hypotenuses of their triangles). A student says this is not enough information to prove the triangles are congruent, because only two sides are given. Which reason shows the student is wrong?

5.A circular coaster has a radius of 4 cm. Work out the circumference of the coaster. Give your answer in terms of π.

6.A recipe uses 1.25 kg of flour. Work out how many grams of flour this is.

7.A cake recipe takes 135 minutes from start to finish. Write this time as hours and minutes.

8.A survey team measures the angle between two fences with a protractor and gets a reading of 254°. What type of angle is this?

9.A parallelogram has a base of 9 cm and a perpendicular height of 6 cm. Work out the area of the parallelogram.

10.A wooden block is a cuboid measuring 2 cm by 10 cm by 15 cm. Work out the volume of the block.

11.The diagram shows a solid resting on its side on a table. Work out which shape is its plan view, the view looking straight down from above.

12.The angle between north and a footpath is 35°, measured clockwise from north. What is the three-figure bearing of the footpath?

13.Work out the exact value of sin 45° × cos 45°.

14.In parallelogram PQRS, angle P = 65°. Which reason correctly explains why angle R = 65°?

15.A quadrilateral has both pairs of opposite sides parallel and equal in length, but none of its angles are right angles. Which statement about this quadrilateral is correct?