Geometry and measures worksheet — GCSE Foundation

1.A train leaves Leeds at 08:47 and arrives in London at 11:05. Work out how long the journey takes.

2.A solid is a single cube. Its plan view (from above), front elevation (from the front) and side elevation (from the side) are drawn separately. What shape is each of these three views?

3.A circular clock face has a radius of 9 cm. Work out the circumference of the clock face. Use π = 3.14. Give your answer to 1 decimal place.

4.A solid has a plan view that is a circle, and a front elevation that is a triangle. Which solid is this?

5.A trapezium-shaped allotment plot has two parallel sides that face each other, and two sloping sides that are equal in length (an isosceles trapezium). One of the angles next to the shorter parallel side is 118°. Work out the angle next to the other end of the same shorter parallel side.

7.In triangle ABC, point D lies on side AB and point E lies on side AC, so that DE is parallel to BC. AD = 3 cm, DB = 6 cm and DE = 4 cm. Work out the length of BC.

8.A plumber charges a £45 call-out fee, plus £28 for each hour worked. She works on a job for 3 hours 30 minutes, and her hours are billed by rounding up to the next whole hour. Work out the total amount she charges.

9.The point (2, 5) is translated 3 units right and 4 units down. Work out the coordinates of the image point.

10.A chord divides a circle into two regions, one larger than the other. Write down the term used for the smaller of these two regions.

11.A textbook contains the instruction 'Draw AB' and, on the next line, the statement 'AB = 5 cm'. Which statement about the notation AB is correct?

12.Work out the exact value of (cos 45°)² + (sin 45°)².

13.A rectangular photograph is 12 cm long and 5 cm wide. Work out the perimeter of the photograph.

14.Two similar triangular tiles have lengths in the ratio 3 : 5. The longest side of the smaller tile is 9 cm. Work out the length of the longest side of the larger tile.