State the correct unit for the volume of a solid measured in centimetres.
(1)
2
A rectangular sports field measures 12 m by 4.5 m. Calculate the perimeter of the field.
(2)
3
A rectangular whiteboard measures 1.8 m by 1.1 m. Calculate the area of the whiteboard.
(2)
4
A rectangular tile has an area of 24 cm2 and a length of 8 cm. Work out the width of the tile.
(2)
5
A triangular flag has a base of 14 cm and a perpendicular height of 6 cm. Calculate the area of the flag.
(2)
6
A parallelogram-shaped tile has a base of 9.6 cm and a perpendicular height of 4 cm. Calculate the area of the tile.
(2)
7
A trapezium-shaped flower bed has parallel sides of length 6 m and 13 m, and a perpendicular height of 5 m between them. Calculate the area of the flower bed.
(2)
8
A circular pond has a radius of 7 m. Calculate its circumference, giving your answer to 3 significant figures.
(2)
9
A circular tabletop has a diameter of 18 cm. Calculate its circumference, giving your answer to 3 significant figures.
(2)
10
A cuboid box has length 9 cm, width 6 cm and height 4 cm. Calculate the volume of the box.
(2)
11
Convert 2.6 m2 to cm2.
(1)
12
A small tile has an area of 180 mm2. Convert this to cm2.
(1)
13
A prism has a triangular cross-section with base 6 cm and perpendicular height 5 cm. The length of the prism is 11 cm. Calculate the volume of the prism.
(3)
14
A cuboid has length 7 cm, width 5 cm and height 4 cm. Calculate the total surface area of the cuboid.
(3)
15
A rectangular room measures 5 m by 3.6 m. New carpet costs 21.75 pounds per m2. Calculate the total cost of carpeting the room.
(3)
16
A rectangular patio measures 12 m by 5 m. It is covered with a uniform layer of gravel 0.15 m deep. Calculate the volume of gravel needed.
(2)
17
A flower bed is in the shape of a quarter circle (a sector with angle 90 degrees) of radius 4.2 m. Give your answers to 3 significant figures.
(a)Calculate the arc length of the flower bed's curved edge.(2)
(b)Calculate the area of the flower bed.(2)
18
A wall measures 5 m long and 2.8 m high. It contains one rectangular window measuring 1.4 m by 1.2 m and one rectangular door measuring 0.8 m by 2 m. One litre of paint covers 10 m2. Paint is sold only in 2-litre tins.
(a)Calculate the area of the wall that needs to be painted (the wall area minus the window and the door).(2)
(b)Calculate the minimum number of 2-litre tins of paint needed. Show your working.(2)
Mark scheme · KS3.M-G2D Geometry: Area, Perimeter and Volume: Fluency and Exam Drill