Area of Compound Shapes: Fluency and Exam Drill - Worksheets, Questions and Revision

16 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDFJump to mark scheme (page 5)
« Previous: Area of Compound ShapesNext: Area of Compound Shapes: Foundation Tier Practice »
Revision Library
revisionlibrary.co.uk
GCSE · Area and Perimeter

3.18D Area of Compound Shapes: Fluency and Exam Drill

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Work out the area of a rectangle with length 8 cm and width 5 cm.
(Total for Question 1 is 1 mark)
2
Work out the area of a square with side length 7 cm.
(Total for Question 2 is 1 mark)
3
An L-shaped figure is made from two rectangles. One rectangle is 6 cm by 4 cm and the other is 3 cm by 4 cm. Work out the total area of the L-shape.
(Total for Question 3 is 2 marks)
4
A rectangle measures 10 cm by 6 cm. A small rectangle of size 3 cm by 2 cm has been removed from one corner. Work out the area of the remaining shape.
(Total for Question 4 is 2 marks)
5
A rectangle is 12 cm by 5 cm. A square of side 3 cm is removed from one corner. Work out the area of the shape left.
(Total for Question 5 is 2 marks)
6
The shape below is made from two rectangles joined together. Rectangle A is 8 cm by 5 cm and rectangle B is 5 cm by 3 cm. Work out the total area of the shape.
(Total for Question 6 is 3 marks)
7
A composite shape is made from two rectangles side by side. Both rectangles have height 6 cm. The left rectangle has width 4 cm. The total area of the composite shape is 60 cm2. Find the width of the right rectangle.
(Total for Question 7 is 3 marks)
8
A rectangle measures 12 cm by 9 cm. A smaller rectangle of size 4 cm by 3 cm inside it is shaded. Work out the area of the unshaded part of the rectangle.
(Total for Question 8 is 2 marks)
9
A composite shape is formed from three rectangles. Rectangle A is 10 cm by 4 cm, rectangle B is 4 cm by 6 cm attached to the top of A at the left, and rectangle C is 6 cm by 3 cm attached to the right of A. Work out the total area of the composite shape.
(Total for Question 9 is 4 marks)
10
A rectangle measures 16 cm by 9 cm. A smaller rectangle 5 cm by 4 cm is removed from one corner. Calculate the area of the remaining shape.
(Total for Question 10 is 3 marks)
11
A rectangular playground is 20 m by 12 m. A paved patio of 6 m by 5 m occupies one corner. Work out the area of the playground that is not paved.
(Total for Question 11 is 3 marks)
12
A rectangle is 14 cm by 9 cm. A smaller rectangle of height 4 cm and width x cm is removed from one side. The area of the remaining shape is 98 cm2. Find x.
(Total for Question 12 is 3 marks)
13
Work out the area of a rectangle with sides 6.5 cm and 4 cm.
(Total for Question 13 is 2 marks)
14
A large rectangle is 18 cm by 10 cm. A central rectangle of 8 cm by 6 cm is not shaded. Find the area of the shaded part of the large rectangle.
(Total for Question 14 is 3 marks)
15
A cross-shaped figure is formed by a central square of side 6 cm and four identical rectangular arms attached to the middle of each side of the square. Each arm is 2 cm by 4 cm. Work out the total area of the cross.
(Total for Question 15 is 3 marks)
16
A rectangular garden is 14 m by 10 m. A path of uniform width x metres runs all the way around the inside of the garden, leaving a rectangular lawn in the centre. The area of the lawn is 84 m2.
Find the width of the path. Give the exact value and a decimal approximation to 2 decimal places.
(Total for Question 16 is 5 marks)
Mark scheme · 3.18D Area of Compound Shapes: Fluency and Exam Drill

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