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A LITTLE BIT OF EVERYTHING
Written by Ian Brown (C) 2015
Year 8 Mathematics
Sample
Pages
All About Alboe...
I love maths. I enjoy the beauty of finding the solution to a mathematical problem and marvel at the accuracy
and consistency of it. As a Christian, I see mathematics as a revelation of God’s order, consistency and
truth in creation.
But I also recognise that this is not the experience of everybody. For some, maths can seem confusing,
complicated and just irrelevant. That is the exciting responsibility and challenge faced by educators in
Mathematics, and that is one reason why this set of ALBOE books (A Little Bit Of Everything) focusing on
mathematics were written and prepared.
In fact, they are to serve a number of purposes to students, parents and educators.
To students they are intended to give a broad range of practise scenarios and utilise their math skills over a
variety of different concept areas. They have been written and compiled with the new Australian
Curriculum in mind, focussing on the content strands of Number, Algebra, Measurement, Geometry,
Statistics and Probability for the appropriate stage. The exercises are all based on materials from the
associated levels (the Year 8 level is based entirely on the outcomes of the Year 7 course for example).
For parents they are intended to be a resource that will provide a consistent approach to the revision of
material, as well as provide some type of framework for gauging the understanding and mathematical ability
of their children.
For educators, it is intended to be a resource to consolidate student learning, as well enabling teachers to
better assess student outcomes from previously learned materials. The level of difficulty increases as the
sheets progress, but should never be outside the scope of the student at any particular stage.
It is hoped that these exercises encourage and build the enthusiasm, ability and understanding of concepts
and further develop mathematical ability and enjoyment.
A big thankyou goes to all those students and young, budding mathematicians who assisted in checking,
answering and giving feedback on the exercises contained within these pages.
About the author Ian Brown is an enthusiastic teacher and lover of Mathematics in a Christian School located on the sunny
shores of Lake Macquarie, NSW. He has taught all levels of children from Kindergarten to Year 12 for
almost 20 years, with a particular focus on Stages 4–6 (NSW Years 7 to 12). Ian has supported and advised
teachers in their communication of Mathematics in the classroom, encouraging teachers to implement a
variety of strategies to demystify, challenge and inspire students in Mathematics.
He lives in Newcastle with his beautiful wife and four children... and loves Maths
Sample
Pages
ALBOE – Mathematics Year 8
© Ian Brown
1. Plot the following integers on the number
plane:
2. Show 5
32 as an improper fraction.
...................................................................
3. Find the complement to 20O
...................................................................
Find the supplement to 20O
...................................................................
4. Circle the numbers which are factors of 40
2 3 4 5 6 7 8 9 10
5. If m = 2 and n = 5, solve by substitution
2m + n = .....................................................
...................................................................
m – 2n = .....................................................
...................................................................
6. Find the perimeter and area of the following
shape:
....................................................................
....................................................................
....................................................................
1. Solve 7
1
5
2
...................................................................
...................................................................
2. Find the volume of the following
rectangular prism:
....................................................................
....................................................................
....................................................................
3. For the following stem–and–leaf plot
Find the range: ...........................................
Find the mode: ...........................................
4. Simplify the expression 3x + 5x – 2x
...................................................................
5. Solve 52 + 32
...................................................................
...................................................................
6. Find 36
...................................................................
1 2
Sample
Pages
ALBOE – Mathematics Year 8
© Ian Brown
1. Solve 3 hrs 20 min + 2 hrs 50 min
....................................................................
2. Find the perimeter and area of the following
shape:
...................................................................
...................................................................
...................................................................
...................................................................
3. Name the acute angle shown in the diagram
below:
....................................................................
4. Find the mean of the following scores:
3, 4, 4, 6, 8
...................................................................
5. Solve 2(x + 5) = 12
....................................................................
....................................................................
6. Between which two integers is 20 ?
....................................................................
1. The temperature at the start of the day is
18OC. It increases by 5O by the afternoon,
then decreases by 8O in the evening.
What is the final temperature?
....................................................................
2. Show the reciprocal of 4
3
....................................................................
3. Find the size of BCA in the triangle below:
...................................................................
...................................................................
4. Simplify 3(x + 1) + 2(x – 2)
....................................................................
....................................................................
5. In a bag of sweets, there are 8 chocolates
and 6 lollies. 25% of the chocolates are milk
chocolate.
Michael chooses 1 sweet from the bag.
What is the probability that he chooses a
milk chocolate?
....................................................................
....................................................................
6. Find the lowest common multiple of 8 and
11.
....................................................................
....................................................................
....................................................................
3 4
Sample
Pages
ALBOE – Mathematics Year 8
© Ian Brown
1. The perimeter of the rectangle shown below
is 24 cm. Find the length of AD.
....................................................................
....................................................................
2. On the grid below, plot and label the points
A(2, 4) B(0, –2) C(–3, –4)
3. Show 4.8825 to 3 decimal places
...................................................................
4. 8 kg of sausages cost $48. Find the cost of
5 kg.
...................................................................
...................................................................
5. Find the size of x in the diagram below:
....................................................................
1. Solve 5
1
3
11
...................................................................
...................................................................
2. Complete the table:
Percentage Decimal Fraction
20 %
0.7
5
2
3. Circle the numbers that are factors of 640
2 3 4 5 6 7 8 9 10
4. Solve 57
3
x
...................................................................
...................................................................
5. Terry has done 4 spelling tests. Her results
for each test are shown below:
Find the average test score:
...................................................................
...................................................................
6. List the factors of 32
...................................................................
5 6
Sample
Pages
ALBOE – Mathematics Year 8
© Ian Brown
1. Find the size of the angle marked x.
...................................................................
...................................................................
2. A car travels 560 km in 8 hours. What was
the average speed of the car?
....................................................................
....................................................................
How long would it take the car to travel 210
km?
....................................................................
3. In the space below, use a factor tree to find
the prime factors of 100.
100 = ..........................................................
4. Solve 5
21
2
13
....................................................................
....................................................................
....................................................................
1. Expand 65
....................................................................
2. Solve 3 + –5
...................................................................
3. At a birthday party, 30% of the children had
red hair. If 14 children didn’t have red hair,
how many children were at the party?
....................................................................
....................................................................
....................................................................
4. Find the area and perimeter of the following
parallelogram:
...................................................................
...................................................................
...................................................................
...................................................................
5. Continue the following sequences:
2, 4, 8, 16, ......, ......, ......
0.05, 0.5, 5, ......, ......, ......
6. Bridget cooks a cake that requires 80
minutes cooking time and 30 minutes to
cool down.
If she starts cooking at 10:40 am, when is
the earliest time she can eat the cake?
....................................................................
....................................................................
7 8
Sample
Pages