Perimeter, Area and Volume: Practice Set 3 - Worksheets, Questions and Revision

25 original exam-style questions - 10 pages of questions with a full mark scheme - free printable PDF.

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11+ · Mathematics

EP.M55 Perimeter, Area and Volume: Practice Set 3

GL ASSESSMENT GL · Calculators not allowed · about 57 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A rectangle has length 10 cm and width 3 cm. What is its perimeter?
  • A) 13 cm
  • B) 20 cm
  • C) 26 cm
  • D) 30 cm
(Total for Question 1 is 1 mark)
2
A square has sides of length 14 cm. What is its perimeter?
  • A) 28 cm
  • B) 42 cm
  • C) 56 cm
  • D) 196 cm
(Total for Question 2 is 1 mark)
3
A triangle has sides of length 8 cm, 11 cm and 13 cm. Calculate the perimeter of the triangle.
(Total for Question 3 is 2 marks)
4
A rectangle has length 17 cm and width 9 cm. Calculate the perimeter of the rectangle.
(Total for Question 4 is 2 marks)
5
A rectangle has length 8 cm and width 7 cm. What is its area?
  • A) 15 cm2
  • B) 30 cm2
  • C) 56 cm2
  • D) 60 cm2
(Total for Question 5 is 1 mark)
6
A rectangle has length 10 cm and width 6 cm. Calculate the area of the rectangle.
(Total for Question 6 is 2 marks)
7
A triangle has a base of 9 cm and a perpendicular height of 6 cm. Calculate the area of the triangle.
(Total for Question 7 is 2 marks)
8
A triangle has a base of 15 cm and a perpendicular height of 4 cm. Calculate the area of the triangle.
(Total for Question 8 is 2 marks)
9
Rectangle A measures 6 cm by 9 cm. Rectangle B measures 7 cm by 8 cm. Which rectangle has the larger area?
  • A) Rectangle A
  • B) Rectangle B
  • C) They have equal areas
  • D) Not enough information
(Total for Question 9 is 1 mark)
10
A rectangle has a width of 5 cm. Its length is three times its width.
(a)Find the length of the rectangle.(1)
(b)Calculate the perimeter of the rectangle.(1)
(c)Calculate the area of the rectangle.(1)
(Total for Question 10 is 3 marks)
11
The diagram shows an L-shaped tile pattern formed from a 13 cm by 8 cm rectangle with a 5 cm by 2 cm rectangle removed from the top right corner (dimensions shown are the outer rectangle sides and the notch removed; not drawn to scale). Calculate the area of the shape.
Diagram NOT accurately drawn
13 cm 8 cm 5 cm 2 cm
(Total for Question 11 is 3 marks)
12
The diagram shows an L-shaped decking area formed from a 17 cm by 11 cm rectangle with a 6 cm by 3 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
17 cm 11 cm 6 cm 3 cm
(a)Calculate the perimeter of the L-shape.(3)
(b)Calculate the area of the L-shape.(3)
(Total for Question 12 is 6 marks)
13
A cuboid has length 8 cm, width 6 cm and height 3 cm. Calculate the volume of the cuboid.
(Total for Question 13 is 2 marks)
14
A cube has edges of length 3 m. What is its volume?
  • A) 9 m3
  • B) 18 m3
  • C) 27 m3
  • D) 81 m3
(Total for Question 14 is 1 mark)
15
A cuboid-shaped storage box has length 10 cm, width 4 cm and height 5 cm. Calculate the volume of the box.
(Total for Question 15 is 3 marks)
16
A cuboid has a volume of 210 cm3. Its base has length 7 cm and width 6 cm. Calculate the height of the cuboid.
(Total for Question 16 is 3 marks)
17
The diagram shows a cross (plus-sign) shape made from five identical squares, each with side length 6 cm, arranged so one square is in the centre with one square attached to each of its four sides. Calculate the perimeter of the shape.
Diagram NOT accurately drawn
6 cm (not to scale)
(Total for Question 17 is 2 marks)
18
A garden trellis panel is made from a rectangle with a triangle on top, forming a simple house-shaped outline. The rectangular part is 14 cm wide and 7 cm tall. The triangular top has a base of 14 cm and a perpendicular height of 5 cm. Calculate the total area of the panel.
Diagram NOT accurately drawn
14 cm 7 cm 5 cm (not to scale)
(Total for Question 18 is 3 marks)
19
A rectangular sticker measures 50 mm by 20 mm. Calculate the area of the sticker in cm2.
(Total for Question 19 is 2 marks)
20
The perimeter of a rectangle is 42 cm. The length of the rectangle is 13 cm. Calculate the area of the rectangle.
(Total for Question 20 is 3 marks)
21
A cuboid-shaped storage tank measures 35 cm by 20 cm by 24 cm.
(a)Calculate the volume of the tank in cm3.(2)
(b)Given that 1000 cm3 = 1 litre, calculate the capacity of the tank in litres.(2)
(Total for Question 21 is 4 marks)
22
A rectangular photograph measures 18 cm by 12 cm. It is mounted on a card with a border of uniform width 3 cm all the way around it, as shown in the diagram. Calculate the area of the border (mount) only.
Diagram NOT accurately drawn
18 cm 12 cm 3 cm Photograph Mount border (not to scale)
(Total for Question 22 is 4 marks)
23
A solid wooden block measures 7 cm by 6 cm by 5 cm. A smaller cuboid measuring 3 cm by 2 cm by 5 cm is cut out of one vertical edge, running the full height of the block. Calculate the volume of the remaining solid.
Diagram NOT accurately drawn
7 cm 6 cm 5 cm 3 cm 2 cm Not to scale
(Total for Question 23 is 4 marks)
24
The length of a rectangle is 4 cm more than its width. The perimeter of the rectangle is 56 cm. Calculate the area of the rectangle.
(Total for Question 24 is 4 marks)
25
A cuboid-shaped water tank has a rectangular base with length 18 cm and width 10 cm. The tank has a volume of 1440 cm3.
(a)Calculate the height of the tank.(3)
(b)The tank is filled with water until it is exactly 3/4 of the way up its height. Calculate the volume of water in the tank.(2)
(Total for Question 25 is 5 marks)
Mark scheme · EP.M55 Perimeter, Area and Volume: Practice Set 3

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

Question 21

Question 22

Question 23

Question 24

Question 25