Mathematics Worksheet - Grade 7
Board: GCSE
Topic(s): Area
Total Marks: 20
Time: 20 minutes
Name: ____________________
Class: _______
Date: ___________
INSTRUCTIONS
Choose the best option for each MCQ.
Answer all questions.
Write neatly and legibly.
Multiple Choice Questions
1. A rectangular field measures 25 m by 18 m. A path 2 m wide is built around the outside of the
field. What is the area of the path?
a) 164 m²
b) 184 m²
c) 204 m²
d) 224 m²
2. A square has an area of 144 cm². If its side length is doubled, what will be the new area of the
square?
a) 288 cm²
b) 432 cm²
c) 576 cm²
d) 1152 cm²
3. A trapezium has parallel sides of length 12 cm and 20 cm. Its height is 7 cm. If the height is
increased by 2 cm, what is the new area of the trapezium?
a) 112 cm²
b) 126 cm²
c) 144 cm²
d) 168 cm²
4. A circular pond has a radius of 5 m. A gardener wants to create a flower bed around the pond,
forming a circular ring with an outer radius of 8 m. What is the area of the flower bed? (Use π
= 3.14)
a) 78.5 m²
b) 125.6 m²
c) 153.86 m²
d) 200.96 m²
5. A composite shape is made of a rectangle and a semicircle. The rectangle has dimensions 10
cm by 6 cm. The semicircle is attached to the 10 cm side. What is the total area of the shape?
(Use π = 3.14)
a) 60 cm²
b) 75.7 cm²
c) 99.25 cm²
d) 138.5 cm²
6. A triangular piece of land has a base of 30 m and a height of 24 m. If the land is sold at £50
per square meter, what is the total cost of the land?
a) £18,000
b) £24,000
c) £36,000
d) £72,000
7. A parallelogram has an area of 180 cm². If its base is 15 cm, and its height is then reduced by
20%, what is the new area of the parallelogram?
a) 120 cm²
b) 144 cm²
c) 150 cm²
d) 160 cm²
8. A rectangular swimming pool is 20 m long and 10 m wide. It is surrounded by a uniform
concrete path. The total area of the pool and the path is 300 m². What is the width of the path?
a) 1 m
b) 1.5 m
c) 2 m
d) 2.5 m
9. A sector of a circle has a radius of 12 cm and an angle of 60°. What is the area of the sector?
(Use π = 3.14)
a) 37.68 cm²
b) 75.36 cm²
c) 113.04 cm²
d) 226.08 cm²
10. A square lawn has an area of 81 m². If a circular flower bed with a diameter of 6 m is placed in
the center, what is the area of the lawn remaining? (Use π = 3.14)
a) 28.26 m²
b) 52.74 m²
c) 62.74 m²
d) 72.74 m²
11. A rectangle has a perimeter of 40 cm. If its length is 12 cm, what is its area?
a) 48 cm²
b) 60 cm²
c) 72 cm²
d) 96 cm²
12. A farmer has a field shaped like a rhombus with diagonals of 160 m and 120 m. He wants to
fence the perimeter of the field. What is the area of the field?
a) 4800 m²
b) 9600 m²
c) 19200 m²
d) 38400 m²
13. A wall is 5 m long and 3 m high. It has a rectangular window of 1.5 m by 1 m and a circular
vent with a radius of 0.5 m. What is the area of the wall that needs painting? (Use π = 3.14)
a) 13.215 m²
b) 13.785 m²
c) 14.215 m²
d) 14.785 m²
14. The area of a triangle is 48 cm². If its base is 16 cm, what is its perpendicular height?
a) 3 cm
b) 4 cm
c) 6 cm
d) 8 cm
15. A rectangular piece of paper is 20 cm long and 15 cm wide. A square of side 5 cm is cut from
each of its four corners. What is the area of the remaining paper?
a) 200 cm²
b) 250 cm²
c) 275 cm²
d) 300 cm²
16. A garden plot is in the shape of an irregular polygon. It can be divided into a rectangle of 10 m
by 8 m and a triangle with a base of 8 m and a height of 6 m. What is the total area of the
garden plot?
a) 80 m²
b) 104 m²
c) 128 m²
d) 144 m²
17. If the radius of a circle is tripled, by what factor does its area increase?
a) 3
b) 6
c) 9
d) 27
18. A path 1.5 m wide is built inside a square park with a side length of 50 m. What is the area of
the path?
a) 141 m²
b) 291 m²
c) 591 m²
d) 891 m²
19. A composite shape consists of a square with side length 10 cm and an equilateral triangle
attached to one of its sides. The height of the triangle is 8.66 cm (approx). What is the total
area of the shape?
a) 100 cm²
b) 143.3 cm²
c) 186.6 cm²
d) 200 cm²
20. A rectangular sheet of metal has an area of 1.2 m². If its length is 150 cm, what is its width in
centimeters?
a) 8 cm
b) 80 cm
c) 800 cm
d) 8000 cm
