Geometry and measures worksheet — GCSE Foundation

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

2.A regular nonagon has 9 sides. Work out the sum of its interior angles.

3.Each of these has an exact value. Write down the one whose value is the greatest.

4.A rectangular garden bed measures 5 m by 3 m. A semicircular flower border is attached along one of the 3 m-wide ends, on the outside of the rectangle, so that the 3 m side is the diameter of the semicircle. Work out the total perimeter of the combined shape (the two long sides, the one remaining short side, and the curved edge). Use π = 3.14.

5.A circle has two straight radii drawn from the centre to the edge, together with the arc between them. Write down the name of the region enclosed by these two radii and the arc.

6.A circle has a diameter of 4 cm. Work out the radius of the circle.

7.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.

8.A cyclist rides around a perfectly circular track with centre O. At every moment of the ride, the distance from O to the cyclist is exactly the same. Which term names this fixed distance?

9.A circle has diameter 10 cm. Using π = 3.14, work out the circumference of the circle.

10.A circle has a diameter of 24 cm. A sector of this circle has an angle of 90°. Using π = 3.14, work out the area of the sector.

11.A wooden cube has edges of length 4 cm. Work out the total surface area of the cube.

12.In triangle ABC the angle at A and the angle at C are equal. The side AB is extended beyond B, and the exterior angle formed at B measures 98°. Work out the size of the angle at A.

13.A submarine travels due south. What is the three-figure bearing for this direction?

14.A trapezium has parallel sides of 16 cm and 24 cm, and a perpendicular height of 7 cm. Work out the area of the trapezium.

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