Area and Perimeter - Worksheets, Questions and Revision

17 original exam-style questions - 14 pages of questions with a full mark scheme - free printable PDF.

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2.11 Area and Perimeter

EDEXCEL 1MA1 · Calculator allowed · about 75 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A rectangle is measured in centimetres.
(a)Write down a suitable unit for measuring the perimeter of the rectangle.(1)
(b)Write down a suitable unit for measuring the area of the rectangle.(1)
(Total for Question 1 is 2 marks)
2
The rectangle below is drawn on a centimetre-squared grid. Each small square on the grid has a side length of 1 cm.
(a)Find the area of the rectangle by counting squares.(1)
(b)Find the perimeter of the rectangle by counting the squares along the edge.(1)
(Total for Question 2 is 2 marks)
3
A rectangle has length 8 cm and width 5 cm.
Diagram NOT accurately drawn
8 cm 5 cm
(a)Work out the perimeter of the rectangle.(2)
(b)Work out the area of the rectangle.(2)
(Total for Question 3 is 4 marks)
4
A square tile has a side length of 6 m.
Diagram NOT accurately drawn
6 m
(a)Work out the perimeter of the square.(1)
(b)Work out the area of the square.(1)
(Total for Question 4 is 2 marks)
5
A square has a perimeter of 20 cm.

Work out the length of one side of the square.
Diagram NOT accurately drawn
Perimeter = 20 cm
(Total for Question 5 is 2 marks)
6
A rectangle has a perimeter of 30 cm. The width of the rectangle is 6 cm.
Diagram NOT accurately drawn
Perimeter = 30 cm 6 cm
(a)Work out the length of the rectangle.(2)
(b)Work out the area of the rectangle.(2)
(Total for Question 6 is 4 marks)
7
A rectangle has an area of 48 cm2. The length of the rectangle is 8 cm.
Diagram NOT accurately drawn
8 cm Area = 48 cm²
(a)Work out the width of the rectangle.(2)
(b)Work out the perimeter of the rectangle.(2)
(Total for Question 7 is 4 marks)
8
The diagram shows the floor plan of an L-shaped room. The bottom edge is 10 m, the left edge is 7 m, the top edge is 6 m, and the small vertical step near the top right is 2 m. The two remaining edges are not labelled.

Work out the perimeter of the L-shaped room.
Diagram NOT accurately drawn
10 m 7 m 6 m 2 m
(Total for Question 8 is 3 marks)
9
Using the same L-shaped room as the previous question (bottom edge 10 m, left edge 7 m, top edge 6 m, vertical step 2 m), work out the area of the room.
Diagram NOT accurately drawn
10 m 7 m 6 m 2 m
(Total for Question 9 is 3 marks)
10
A rectangular room measures 4 m by 3.5 m. Carpet costs 12.50 pounds per m2.

Work out the total cost of carpeting the room.
(Total for Question 10 is 3 marks)
11
A rectangular garden measures 12 m by 7 m. One of the 12 m sides is against the house wall, so fencing is only needed along the other three sides. Fencing costs 4.20 pounds per metre.

Work out the total cost of the fencing.
Diagram NOT accurately drawn
12 m House wall 7 m 7 m 12 m Fencing (3 sides)
(Total for Question 11 is 3 marks)
12
A rectangle has a length of 2.5 m and a width of 80 cm.

Work out the area of the rectangle in m2.
Diagram NOT accurately drawn
2.5 m 80 cm
(Total for Question 12 is 3 marks)
13
Rectangle A has length 7 cm and width 4 cm. Rectangle B has length 6 cm and width 5 cm.

Which rectangle has the greater area? You must show your working.
Diagram NOT accurately drawn
Rectangle A 7 cm 4 cm Rectangle B 6 cm 5 cm
(Total for Question 13 is 3 marks)
14
A triangle has a base of 10 cm and a perpendicular height of 6.4 cm.

Work out the area of the triangle.
Diagram NOT accurately drawn
10 cm 6.4 cm
(Total for Question 14 is 2 marks)
15
A garden shed end wall is shaped like a rectangle with a triangular roof section on top. The rectangle is 8 m wide and 5 m tall. The triangular roof section has a base of 8 m and a height of 3 m.

Work out the total area of the shed end wall.
Diagram NOT accurately drawn
8 m 5 m 3 m
(Total for Question 15 is 3 marks)
16
A rectangular floor measures 5 m by 4 m. Square tiles measuring 40 cm by 40 cm are used to cover the floor exactly, with no cutting or overlap. Each tile costs 3.60 pounds.

Work out the total cost of the tiles needed to cover the floor.
(Total for Question 16 is 4 marks)
17
A rectangular garden measures 14 m by 9 m. Inside the garden there is a rectangular pond measuring 3 m by 2 m, which does not touch the edge of the garden. The rest of the garden needs turfing, and the whole perimeter of the garden needs fencing. Turf costs 8.50 pounds per m2 and fencing costs 6 pounds per metre.
Diagram NOT accurately drawn
14 m 9 m 3 m 2 m Pond Garden
(a)Work out the area of the garden that needs turfing (that is, the total garden area minus the pond).(3)
(b)Work out the cost of the turf.(2)
(c)Work out the cost of the fencing needed for the whole perimeter of the garden.(3)
(d)Work out the total cost of the turf and the fencing.(1)
(Total for Question 17 is 9 marks)
Mark scheme · 2.11 Area and Perimeter

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