2022 Year 8 Mathematics Measurement Test
CALCULATORS ALLOWED
Writing time: 45 minutes
Name: ______________________TEACHER DOC / HOB / LAE / LEL / KOM
Multiple Choice (5)
Skills (33)
Extended Response (5)
Total (43)
Where more than 1 mark is available for a question then appropriate working MUST be
shown.
𝐶 = 𝜋𝑑 or 𝐶 = 2𝜋𝑟
Circumference of a circle
(𝑎 + 𝑏)
𝐴=
×ℎ
2
Area of a trapezium
Area of a rhombus and
area of a kite
1
𝐴 = 𝑥𝑦
2
Area of a circle
𝐴 = 𝜋𝑟 2
1
Part A – Multiple Choice (5x1 marks = 5 marks)
Question 1
When converted to m, 1350 mm would be:
a. 135 m
b. 13.5 m
c. 1.35 m
d. 0.135 m
e. 0.0135 mm
Question 2
If the area of a circular playing field is 16π m2, its radius must be:
a. 1 m
b. 8 𝑚
c. 2 m
d. 16 m
e. 4 m
d. 0.12 m3
e. 1200 m3
Question 3
1200000 cm3 when converted to m3 is:
a. 120 m3
b. 1.2 m3
c. 12 m3
Question 4
A prism’s perpendicular length is 8 m. If its volume is 128 m3, the prism’s uniform cross
sectional area must be:
a. 12 m2
b. 10 m2
c. 8 m2
d. 4 m2
e. 16 m2
Question 5
Given that the perimeter of the following shape is 90 cm, the value of x is:
a. 7.5 cm
b. 51 m
c. 17 m
2
d. 51 cm
e. 17 cm
Part B – Skills
Question 1
Find the perimeter of each of the following shapes.
a. An equilateral triangle of side
length 5 m.
b. A rectangle of length 2.4 cm and width 8 mm.
(2x1=2 marks)
Question 2
Find the perimeter of each of the following shapes, for 2b give answer correct to 2 decimal
places.
a.
b.
(1+2=3 marks)
Question 3
Find the circumference of the following circles. Give answers correct to 2 decimal places.
a. a circle with radius 12 cm.
b. A circle with 𝐝𝐢𝐚𝐦𝐞𝐭𝐞𝐫 12 𝑐𝑚.
(2+2=4 marks)
3
Question 4
Find the area of each of the following plane figures.
a.
b.
c.
d.
(4x2=8 marks)
4
Question 5
Find the area of each of the following plane figures. Give answers in terms of  .
a.
b.
(2x2=4 marks)
Question 6
Find the area of each of the following plane figures, for 6b give answer correct to 2 decimal
places.
a.
b.
(2x2=4 marks)
5
Question 7
Find the total surface area of each of the following three-dimensional objects.
a.
b.
(2+2=4 marks)
Question 8
Find the volume of each of the following three-dimensional objects.
a.
b.
(2+2=4 marks)
6
Part C – Extended Response (6 marks)
Question
Marina is building an inground pool in her backyard. A diagram of the floor of the pool is shown
below.
a
The pool is to have tiles on the bottom of the pool. Find the area of tiles required,
correct to 3 decimal places.
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
b
The depth of the pool is 1.2m. Find the volume of the pool in cubic metres, correct to 3
decimal places.
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
c
Hence, find the capacity of the pool to the nearest litre.
(Remember 1 L = 1000 cm3 and 1 m3 = 1000 L.)
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
7
Marina is going to place marine carpet around the pool with a width of 2m as shown in the diagram
below.
d
Find the area of marine carpet required correct to the nearest square centimetre.
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
(1 + 1 + 1 + 2 = 5 marks)
END OF TEST
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