Perimeter, Area and Volume - Worksheets, Questions and Revision

20 original exam-style questions - 8 pages of questions with a full mark scheme - free printable PDF.

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11+ · Mathematics

EP.M11 Perimeter, Area and Volume

GL ASSESSMENT GL · Calculators not allowed · about 55 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A rectangle has length 9 cm and width 4 cm. Calculate the perimeter of the rectangle.
(Total for Question 1 is 2 marks)
2
A rectangle has length 8 cm and width 5 cm. Calculate the area of the rectangle.
(Total for Question 2 is 2 marks)
3
A regular hexagon has sides of length 5 cm. Calculate the perimeter of the hexagon.
Diagram NOT accurately drawn
5 cm (not to scale)
(Total for Question 3 is 2 marks)
4
A cube has edges of length 4 cm. Calculate the volume of the cube.
(Total for Question 4 is 2 marks)
5
A square has a perimeter of 36 cm. Calculate the area of the square.
(Total for Question 5 is 2 marks)
6
A triangle has a base of 12 cm and a perpendicular height of 7 cm. Calculate the area of the triangle.
(Total for Question 6 is 2 marks)
7
A parallelogram has a base of 10 cm and a perpendicular height of 6 cm. Calculate the area of the parallelogram.
(Total for Question 7 is 2 marks)
8
A trapezium has parallel sides of length 8 cm and 12 cm, and a perpendicular height of 5 cm. Calculate the area of the trapezium.
(Total for Question 8 is 3 marks)
9
A garden ornament is made from a rectangle with a triangle on top, forming a simple house-shaped outline. The rectangle is 10 cm wide and 6 cm tall. The triangle on top has a base of 10 cm and a perpendicular height of 4 cm. Calculate the total area of the shape.
Diagram NOT accurately drawn
10 cm 6 cm 4 cm (not to scale)
(Total for Question 9 is 3 marks)
10
The diagram shows an L-shaped garden path formed from a 12 cm by 10 cm rectangle with a 5 cm by 4 cm rectangle removed from the top right corner (dimensions shown are the outer rectangle sides and the notch removed; not drawn to scale).
Diagram NOT accurately drawn
12 cm 10 cm 5 cm 4 cm
(a)Calculate the perimeter of the L-shape.(3)
(b)Calculate the area of the L-shape.(3)
(Total for Question 10 is 6 marks)
11
A cuboid has length 7 cm, width 4 cm and height 3 cm. Calculate the volume of the cuboid.
(Total for Question 11 is 3 marks)
12
A cuboid has length 5 cm, width 3 cm and height 4 cm. Calculate the total surface area of the cuboid.
(Total for Question 12 is 3 marks)
13
A circle has a radius of 10 cm. Take π = 3.14.
Diagram NOT accurately drawn
10 cm (not to scale)
(a)Calculate the circumference of the circle.(2)
(b)Calculate the area of the circle.(2)
(Total for Question 13 is 4 marks)
14
A rectangular picture frame has a length of 2.5 m and a width of 80 cm. Calculate the perimeter of the frame in metres.
(Total for Question 14 is 3 marks)
15
A rectangular garden measures 15 m by 9 m. Fencing costs 4.50 pounds sterling per metre.
(a)Calculate the perimeter of the garden.(2)
(b)Calculate the total cost of fencing the whole perimeter of the garden.(2)
(Total for Question 15 is 4 marks)
16
A rectangular room measures 6 m by 4 m. Carpet costs 12 pounds sterling per square metre.
(a)Calculate the area of the room.(2)
(b)Calculate the total cost of carpeting the whole room.(2)
(Total for Question 16 is 4 marks)
17
A solid cuboid measures 10 cm by 8 cm by 6 cm. A smaller cuboid measuring 4 cm by 3 cm by 6 cm is cut out of one vertical edge, running the full height of the solid. Calculate the volume of the remaining solid.
Diagram NOT accurately drawn
10 cm 8 cm 6 cm 4 cm 3 cm Not to scale
(Total for Question 17 is 4 marks)
18
A semicircular table top has a diameter of 14 cm. Take π = 22/7. Calculate the perimeter of the semicircle (the curved edge plus the straight edge).
Diagram NOT accurately drawn
14 cm not to scale
(Total for Question 18 is 3 marks)
19
A rectangular lawn measures 10 m by 6 m. A path of uniform width 1 m is built all the way around the outside of the lawn. Calculate the area of the path only.
Diagram NOT accurately drawn
10 m 6 m 1 m Lawn Path (not to scale)
(Total for Question 19 is 4 marks)
20
A cuboid water tank has length 40 cm, width 25 cm and height 20 cm.
(a)Calculate the volume of the tank in cm3.(2)
(b)Water is poured into the tank until it is 3/4 full. Calculate the volume of water in the tank.(2)
(c)Given that 1000 cm3 = 1 litre, calculate how many litres of water this is.(2)
(Total for Question 20 is 6 marks)
Mark scheme · EP.M11 Perimeter, Area and Volume

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20