A LITTLE BIT OF EVERYTHING

Written by Ian Brown (C) 2015

Year 8 Mathematics

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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

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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:

....................................................................

....................................................................

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1. Solve 7

1

5

2

...................................................................

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2. Find the volume of the following

rectangular prism:

....................................................................

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3. For the following stem–and–leaf plot

Find the range: ...........................................

Find the mode: ...........................................

4. Simplify the expression 3x + 5x – 2x

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5. Solve 52 + 32

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6. Find 36

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ALBOE – Mathematics Year 8

© Ian Brown

1. Solve 3 hrs 20 min + 2 hrs 50 min

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2. Find the perimeter and area of the following

shape:

...................................................................

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...................................................................

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3. Name the acute angle shown in the diagram

below:

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4. Find the mean of the following scores:

3, 4, 4, 6, 8

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5. Solve 2(x + 5) = 12

....................................................................

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6. Between which two integers is 20 ?

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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

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3. Find the size of BCA in the triangle below:

...................................................................

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4. Simplify 3(x + 1) + 2(x – 2)

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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?

....................................................................

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6. Find the lowest common multiple of 8 and

11.

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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

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4. 8 kg of sausages cost $48. Find the cost of

5 kg.

...................................................................

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5. Find the size of x in the diagram below:

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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

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5 6

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ALBOE – Mathematics Year 8

© Ian Brown

1. Find the size of the angle marked x.

...................................................................

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2. A car travels 560 km in 8 hours. What was

the average speed of the car?

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How long would it take the car to travel 210

km?

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3. In the space below, use a factor tree to find

the prime factors of 100.

100 = ..........................................................

4. Solve 5

21

2

13

....................................................................

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1. Expand 65

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2. Solve 3 + –5

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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?

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4. Find the area and perimeter of the following

parallelogram:

...................................................................

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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?

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