Australian Curriculum YEAR 8 TEST

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MATHEMATICS

Australian Curriculum

YEAR 8

TEST

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Australian Curriculum Test with detailed suggested answers

? 30 multiple choice questions ? 20 one mark short answer questions ? 10 two mark short answer questions ? 10 three mark short answer questions ? Australian Curriculum references ? Weblinks for further study

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Subject

Year Level

Author

Mathematics

8

Barbara Healy

Kilbaha Multimedia

Publishing

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Australian Curriculum Tests ? Summary - Mathematics Year 8

1

References and Elaborations (Some elaborations have been paraphrased by the author)

Question Curriculum

reference

MC1

ACMMG202

MC2

ACMMG195

MC3

ACMNA186

MC4

ACMSP207

MC5

ACMNA182

MC6 MC7 MC8

ACMMG198 ACMSP292 ACMMG199

MC9 MC10

ACMNA184 ACMMG197

MC11 ACMNA194

MC12 MC13

ACMMG197 ACMMG202

MC14 ACMNA191

MC15

ACMNA191 ACMNA182

Elaboration

Establish the properties of kites

Choose appropriate units of measurement for area and volume

Investigate the concept of irrational numbers

Investigate the effect of individual data values on the mean and median

Use index notation with numbers to establish the index laws with positive integral indices and the zero index

Develop formulas for volumes of triangular prisms

Represent events using Venn Diagrams

Solve problems involving duration including using 12 and 24 hour time within a single time zone

Investigate terminating and recurring decimals

Investigate the relationship between features of circles such as circumference, area radius and diameter

Using strategies such as backtracking and guess check and improve to solve equations

Use formulas to solve problems involving circumference

Establish properties of quadrilaterals.... and solve related numerical problems using reasoning

Identifying the greatest common divisor of numeric and algebraic expressions

Using a range of strategies to factorise algebraic expressions

Establish the index laws with positive integral indices and zero

Kilbaha Multimedia Publishing Author: Barbara Healy



Australian Curriculum Tests ? Summary - Mathematics Year 8

2

References and Elaborations (Some elaborations have been paraphrased by the author)

MC16

MC17 MC18 MC19 MC20

MC21 MC22 MC23 MC24 MC25

MC26 MC27 MC28 MC29

MC30

ACMNA187 Using percentages to solve problems, including those involving ....profit and loss

ACMNA194 Solve linear equations using algebraic techniques

ACMMG197 ACMNA182

Use formulas to solve problems involving circumference and area Use index notation to establish the index laws

ACMNA190 Applying the distributive law to the expansion of algebraic expressions using strategies such as the area model

ACMNA189 Problem solving involving work from previous years

ACMNA193 Plot linear relationships on a Cartesian plane

ACMNA194 Solve linear equations

ACMSP205 Describe events using language of A or B but not both

ACMMG198 Develop formulas for volumes of rectangular prisms

ACMNA192 Simplify algebraic expressions involving the four operations

ACMSP292 Using Venn diagrams to calculate probabilities of events

ACMNA188 Solve a range of problems involving rates and ratios

ACMNA188 Solve a range of problems involving rates and ratios

ACMMG202

Establish properties of quadrilaterals using congruent triangles and angle properties and solve related numerical problems using reasoning

ACMSP292

Using two way tables to calculate probabilities for events satisfying `given'

Kilbaha Multimedia Publishing Author: Barbara Healy



Australian Curriculum Tests ? Summary - Mathematics Year 8

3

References and Elaborations (Some elaborations have been paraphrased by the author)

Question Curriculum reference

SA1-1 ACMMG195

Elaboration

Recognising that the conversion factors for area units are the squares of those for the corresponding linear units

SA1-2 ACMNA191 Factorise algebraic expressions by identifying numerical factors

SA1-3

ACMMG201

investigating the minimal conditions needed for the unique construction of triangles, leading to the establishment of the conditions for congruence SSS, SAS, ASA and RHS

SA1-4

ACMSP204

Identify complementary events and use the sum of probabilities to solve problems

SA1-5

ACMNA182 Use index notation with numbers to establish the index laws with positive integral indices and the zero index

SA1-6 ACMMG201 The establishment of the conditions for congruence

SA1-7 ACMNA190 Patterns and algebra

SA1-8 ACMSP207 Using displays of data to explore and investigate effects

SA1-9 ACMNA187 Investigate methods used in retail stores to express discounts

SA1-10 ACMNA193 Linear and non linear relationships

Kilbaha Multimedia Publishing Author: Barbara Healy



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