Geometry and measures worksheet — GCSE Foundation

1.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.

2.An isosceles trapezium has exactly one pair of parallel sides, and its two non-parallel sides are equal in length. How many lines of symmetry does it have?

3.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).

4.A designer enlarges a drawing of a model car for a poster. She first enlarges the drawing by a scale factor of 1.5, and then enlarges that result by a further scale factor of 2. On the original drawing, the position of a wheel relative to the front bumper is given by the column vector with top number 4 and bottom number −3, in centimetres. What is the corresponding column vector on the poster, in centimetres?

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

6.A recipe uses 0.75 kg of sugar. Work out how many grams of sugar this is.

7.A parallelogram has a base of 4 cm and a perpendicular height of 17 cm. Work out the area of the parallelogram.

8.A right-angled triangle has its two shorter sides equal to 8 cm and 15 cm. Work out the value of cos θ, where θ is the angle opposite the 8 cm side. Give your answer as a fraction.

9.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.

10.Shape S has a vertex at (9, 6). It is enlarged by a scale factor of 1/3, centre the origin. Work out the coordinates of the image of this vertex.

11.A trapezium has parallel sides of length 6 cm and 10 cm, and a perpendicular height of 4 cm. Work out its area.

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

13.A quadrilateral has vertices A(1, 1), B(5, 1), C(6, 4) and D(2, 4). By comparing the y-coordinates of A, B and of D, C, write down whether the sides AB and DC are parallel, and give a reason for your answer.

14.A polygon has 9 sides. What is the name of this polygon?

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