YEAR 8 MATHS
Topic: MEASUREMENT (Chapter 5) REVISION
Name:____________________________________________
Show appropriate working on this revision.
Round off answers to 2 decimal places when necessary.
Don’t forget to show units of measurement!
You are free to use a calculator on this revision.
ALSO LOOK AT THE BACK PAGE FOR HELPFUL INFORMATION
Question 1
Eg. 65 cm = 65 X 10 mm = 650 mm
780 mm = 780 ÷ 10 cm = 78 cm
REMINDER: Circumference is the perimeter of a
circle. To work out the circumference you mulitply
the diameter by π.
Eg. For the circle below, the circumference is
8m X π = 25.13m
Fill in the gaps.
(a) 78 cm
= ________________mm
(b) 63 000 m = _______________ km
(c) 390 mm
= _______________ cm
(d) 720 cm
= _______________ m
REMINDER: Perimeter is the length around a
shape, so add all side lengths together.
Question 3
Question 2
Calculate the circumference of the circle below.
Find the perimeter of the following shapes:
(a)
Question 4
Calculate the circumference of the circle below.
(b)
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REMINDER: The area of a parallelogram is found
by multiplying the base by the height.
Eg. For the parallelogram below the area is
10m X 13m = 130 m2
REMINDER: The area of a trapezium is found by
adding the bottom and the top, multiplying the by
the height, then diving by 2.
Eg. For the trapezium below the area is
12cm + 6cm [which is 18cm], X 5, then ÷ 2 = 45cm2
Question 5
Question 7
Find the area of the following shape.
Find the area of the following figure.
REMINDER: The area of a circle is found by
multiplying π by the radius by the radius.
Eg. For the circle below the area is
π X 5m X 5m = 78.54 m2
REMINDER:
The area of a triangle is found by multiplying the
base by the height then dividing by 2.
Eg. For the triangle below the area is
7 cm X 6 cm, ÷ 2 = 21 cm2
Question 8
Question 6
Find the area of the following figure.
Find the area of the following figure.
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Question 9
HINT: The shape below is a half circle so find the
area of it as if it were a full cicle then halve it.
REMEMBER: To find the volume of a rectangular
prism you multiply the 3 dimensions.
Eg. For the prism below the volume is
5cm X 12cm X 10cm = 600 cm3
Find the area of the following figure.
Question 11
Calculate the volume of these rectangular prisms.
(a)
Question 10
HINT: Break the shape up into pieces, find the
area of each piece and add these areas together.
Find the area of the following figure.
(b)
3
REMEMBER: To find the volume of prisims in
general first find the cross section area of the end
then multiply that by the depth of the prism.
Eg. For the prism below the volume is
8mm X 15mm ÷2 [this is the cross section area for the
triangle] then X 11mm = 660 cm3
Question 14
Calculate the volume of the cylinder below.
Question 12
Calculate the volume of the triangular prism
below.
HINT: To find the capacity of a prism, first fid
its volume in cm3, then convert that to mL,
because eachncm3 will be filled by 1 mL
Question 15
Find the capacity in mL of the following prisms:
(a)
HINT: To find the volume of cylinders, first
find the area of the circle at the end,
(Area of a circle = π × radius × radius),
then multiply by its length.
(b)
Question 13
Calculate the volume of the cylinder below.
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Question 16
Question 22
Choose the correct answer.
2460 mL is the same capacity as:
Central Standard Time (CST) is half an hour
behind Eastern Standard Time (EST).
If a plane leaves Darwin at 0730 (CST) and
arrives in Melbourne at 1300 (EST) local time,
how long has the trip taken?
A 246 000 L
B 2460 L
C 246 L
D 24.6 L
E 2.46 L
A 3 h 30 min
B4h
C 4 h 30 min
D5h
E 5 h 30min
Question 17
For each of the following, state the most
appropriate unit of time—seconds, minutes,
hours, days, weeks, months or years.
(a) the amount of time it takes to complete a
primary and secondary education
HELPFUL INFORMATION
LENGTH
10mm = 1cm
100cm = 1m
1000m = 1km
(b) completing a 100 m sprint at the athletic
carnival
Perimeter of polygons = the addition of the sides
Circumference = π × diameter
(c) walking from one end of the school to the
other
AREA
Area of a parallelogram = base × height
Question 18
Area of a triangle = base × height
2
How much time in hours and minutes has
passed from 3.25 a.m. to 11.56 a.m.?
Area of a trapezium = ( bottom + top) × height
2
Area of a circle = π × radius × radius
Question 19
How much time in minutes has passed from
12.30 p.m. to 7.15 p.m.?
VOLUME AND CAPACITY
Volume of a prism = cross-section area × depth
1000mL = 1L
1000L = 1kL
1000kL = 1ML
Question 20
Write 1825 as an a.m. or p.m. time.
1cm3 will be filled by 1 mL
1000cm3 will be filled by 1L
1m3 will be filled by 1 kL
Question 21
TIME
60 seconds = 1 minute
60 minutes = 1 hour (or 3600 seconds)
Write 4.37 p.m. using 24 hour time.
24 hours = 1 day
7 days = 1 week
1 year = 12 months = 365 ¼ days
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