A rectangle 8 cm long and 5 cm wide has perimeter 26 cm, and a 7 cm by 3 cm rectangle has area 21 cm², so this Year 7 sheet opens with the two length-area formulas. The key records 27 cm³, 9 cm and 40 cm³ as later answers.
Key Takeaways
The 8 cm by 5 cm rectangle has perimeter 26 cm (Q1).
The 7 cm by 3 cm rectangle has area 21 cm² (Q2).
Q4 records 27 cm³ as a volume answer.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.What is the perimeter of a rectangle 8 cm long and 5 cm wide?
(a) 26 cm(b) 40 cm(c) 13 cm(d) 18 cm
2.What is the area of a rectangle 7 cm long and 3 cm wide?
(a) 21 cm²(b) 20 cm²(c) 10 cm²(d) 24 cm²
3.What is the area of a triangle with base 10 cm and height 6 cm?
(a) 60 cm²(b) 30 cm²(c) 16 cm²(d) 45 cm²
4.What is the volume of a cube with side 3 cm?
(a) 9 cm³(b) 27 cm³(c) 12 cm³(d) 6 cm³
5.The perimeter of a square is 36 cm. What is the length of one side?
(a) 9 cm(b) 6 cm(c) 18 cm(d) 12 cm
6.What is the volume of a cuboid that is 4 cm by 5 cm by 2 cm?
(a) 11 cm³(b) 40 cm³(c) 20 cm³(d) 80 cm³
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Find the perimeter of a square with side 12 cm.
8.Find the area of a rectangle that is 9 cm by 4 cm.
9.Find the area of a triangle with base 14 cm and height 5 cm.
10.Find the volume of a cuboid that is 6 cm by 3 cm by 2 cm.
11.The area of a rectangle is 48 cm² and its length is 12 cm. Find its width.
12.Find the volume of a cube with side 5 cm.
13.Find the perimeter of a rectangle that is 13 cm by 7 cm.
14.The perimeter of a square is 28 cm. Find the area of the square.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A rectangular field is 80 m long and 45 m wide. Find its perimeter and its area.
16.A cube has a volume of 64 cm³. Find the length of one of its sides.
17.A rectangular swimming pool is 25 m long, 10 m wide and 2 m deep. Find the volume of water needed to fill it completely.
18.A triangle and a rectangle each have an area of 24 cm². The triangle has a base of 8 cm. Find the height of the triangle.
19.A rectangular garden is 12 m by 8 m. A path 1 m wide runs around the outside of the garden. Find the area of the path.
20.A box is a cube with side 6 cm. Find its volume and its total surface area.
Answer Key
1. a) 26 cm
2. a) 21 cm²
3. b) 30 cm²
4. b) 27 cm³
5. a) 9 cm
6. b) 40 cm³
7. Refer to solution guide.
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9. Refer to solution guide.
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20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the perimeter of a rectangle 8 cm by 5 cm?
26 cm, option (a) in this worksheet (Q1).
What is the area of a rectangle 7 cm by 3 cm?
21 cm², option (a) in this worksheet (Q2).
What is the volume of a cube of side 3 cm?
27 cm³, option (b) in this worksheet (Q4).
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