Area and Perimeter: Every Shape (Complete Guide) — Worksheet & Memo

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Grade 8 · Measurement

Area and Perimeter: Every Shape (Complete Guide)

EXAM-STYLE CLASS TEST

Marks

Duration

1 hour

Questions

Name:

Class:

Date:

Mark

/ 38

Instructions and Information

Answer ALL the questions in this question paper.
Answer QUESTION 1 by circling the letter (A–D) in the answer grid at the end of that section.
Show ALL calculations clearly.
Show all units where applicable.
Number the answers correctly according to the numbering system used in this question paper.
A non-programmable calculator may be used, unless stated otherwise.
Write neatly and legibly.

Question 1

[10 MARKS]

Four options are given as possible answers to the following questions. Choose the correct answer and circle the letter (A–D) in the grid at the end of this section. If you want to change your choice, put a cross through the wrong letter and circle your new choice.

1.1
The area of a rectangle 8 cm by 5 cm is …
(1)
A)26 cm²
B)40 cm²
C)13 cm²
D)80 cm²
1.2
The perimeter of that same rectangle is …
(1)
A)40 cm
B)26 cm
C)13 cm
D)80 cm
1.3
The area of a triangle with base 10 cm and PERPENDICULAR height 6 cm is …
(1)
A)60 cm²
B)30 cm²
C)16 cm²
D)32 cm²
1.4
The height used in the area of a triangle must be …
(1)
A)the longest side
B)PERPENDICULAR to the base
C)the shortest side
D)any side
1.5
The CIRCUMFERENCE of a circle of radius 7 cm, with π ≈ 3,14, is …
(1)
A)153,86 cm
B)43,96 cm
C)21,98 cm
D)22 cm
1.6
The AREA of that same circle is …
(1)
A)43,96 cm²
B)153,86 cm²
C)21,98 cm²
D)307,72 cm²
1.7
A circle has a diameter of 10 cm. Its area, with π ≈ 3,14, is …
(1)
A)314 cm²
B)78,5 cm²
C)31,4 cm²
D)157 cm²
1.8
The area of a square is 49 cm². Its perimeter is …
(1)
A)7 cm
B)28 cm
C)196 cm
D)14 cm
1.9
A rectangle has an area of 48 cm² and a length of 8 cm. Its breadth is …
(1)
A)40 cm
B)6 cm
C)56 cm
D)24 cm
1.10
If the sides of a square are DOUBLED, its area is multiplied by …
(1)
A)2
B)4
C)8
D)16

Answer grid — circle your answers for Question 1

1.1	A	B	C	D
1.2	A	B	C	D
1.3	A	B	C	D
1.4	A	B	C	D
1.5	A	B	C	D
1.6	A	B	C	D
1.7	A	B	C	D
1.8	A	B	C	D
1.9	A	B	C	D
1.10	A	B	C	D

Question 2

[12 MARKS]

The diagram below shows a rectangle. Use π ≈ 3,14 where needed.

2.1
Calculate the perimeter of the rectangle.
(3)
2.2
Calculate the area of the rectangle, and hence the area of a rectangle whose length and breadth are BOTH doubled.
(3)
2.3
A square has a side of 6 cm. Calculate its perimeter and its area.
(3)
2.4
A different rectangle has an area of 48 cm² and a length of 8 cm. Calculate its breadth.
(3)

Question 3

[8 MARKS]

The diagram below shows a triangle with its perpendicular height marked.

3.1
Write down the formula for the area of a triangle, and explain where the ½ in it comes from.
(3)
3.2
Calculate the area of the triangle.
(3)
3.3
Explain why the height used must be PERPENDICULAR to the base.
(2)

Question 4

[8 MARKS]

The diagram below shows a circle. Use π ≈ 3,14.

4.1
Calculate the circumference of the circle.
(3)
4.2
A different circle has a radius of 10 cm. Calculate its area.
(3)
4.3
State the difference between the circumference and the area of a circle, and give the unit of each.
(2)

TOTAL: 38 marks

This question paper consists of 4 questions.