Maths GCSE (9 to 5) Shape and Space

2. Find the area of a trapezium where the parallel sides measure 140m and 200m and the height is 5m.
4. ABC is a sector of a circle. Angle BAC is 25 degrees. AC is 7cm. Find the area of sector ABC.
5. A straight line L2 is parallel to the line L2 y = 2x + 5 but L1 goes through the point (5,3). Find the equation of L1.
6. Find the value of one interior angle in a regular 16-sided shape.
7. A cuboid has a length that is three times its width and a depth that is double the length. Given the volume is 2250cmcubed, find the surface area (in cmsquared)
8. The volume of a cube is 1728cmcubed. Find the surface area of the same cube (in cmsquared)
10. A circle with a diameter of 22cm has an isosceles triangle cut out of it. The isosceles triangle has one side that measures 9.6cm and the other two sides are both 6cm. Find the area of the remaining shape.
11. A right angled triangle PQR has a right angle at R, length PR is 7cm and QR is 5cm. Find the value of angle P (to 1dp)

1. A cylinder has a volume of 3600mcubed. Find the value of the radius given the height of the cylinder is 18m
3. Two shape are similar. The base length of the smaller shape is 4cm, the base length of the larger shape is 20cm. The area of the smaller shape is 22cmsquared, find the area of the larger shape (in cmsquared)
4. A right angled triangle has a base of 24m and a height of 10m. An equilateral triangle has the same perimeter. Find the area of the equilateral triangle (give your answer to 1dp)
6. A scalene triangle ABC has angle A that is 96 degrees and Angle B that is 31 degrees. Side a is 13.5cm. Find the length of side c (to 3sf)
9. Find the value of the largest angle in a triangle where the three angles are '4a', '3a + 10' and '5a - 7'
10. A ship sails from point 'A' 8m to point 'B' on a bearing of 025 degrees. It then travels due south to point 'C'. Given 'C' is directly due east of point 'A'. Find the distance from point 'A' to 'C' (to 3sf)