Australian Curriculum YEAR 9 TEST

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MATHEMATICS

Australian Curriculum

YEAR 9

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

9

Barbara Healy

Kilbaha Multimedia

Publishing

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Australian Curriculum Tests ? Summary - Mathematics Year 9

1

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

Question Curriculum

reference

MC1

ACMNA209

Elaboration Apply index laws to numerical expressions with integer indices

MC2

ACMNA214 Find the distance between two points located on a Cartesian plane

MC3

ACMNA213

Apply the distributive law to the expansion of algebraic expressions, including binomials and collect the terms where appropriate

MC4

ACMMG224 Apply trigonometry to solve right angled triangle problems

MC5

ACMNA210 Express numbers in scientific notation

MC6

ACMMG220

Use properties of similarity and ratio and correct mathematical notation and language to solve problems involving enlargement

MC7

ACMSP225

List all outcomes for two-step chance experiments, both with and without replacement.... and determine probabilities for these events

MC8

ACMMG216 Calculate areas of composite shapes

MC9

ACMSP228

Identify everyday questions and issues involving at least one numerical and at least one categorical variable

MC10 ACMNA296 Sketch simple non-linear graphs

MC11 ACMNA211 Solve problems involving simple interest

MC12 ACMMG218 Solve problems involving the surface area of right prisms

MC13 ACMSP282 Construct back to back stem and leaf plots

MC14 ACMNA294 Find the gradient of a line.....using a range of strategies

MC15

ACMSP225

List all outcomes of two-step chance experiments..... using tree diagrams or arrays

ACMSP226 Estimate probabilities of events using `and' or `or'

Kilbaha Multimedia Publishing Author: Barbara Healy



Australian Curriculum Tests ? Summary - Mathematics Year 9

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

ACMMG218 Solve problems involving volume of right prisms

ACMSP282 Use terms including skewed, symmetric and bimodal

ACMSP283 Compare data displays using mean, median and range

ACMNA209 Applying knowledge of index laws to algebraic terms

Simplifying algebraic expressions, using both positive and ACMNA209 negative indices

ACMMG222 Understanding that Pythagoras' theorem is a useful tool for determining unknown lengths of right angled triangles

ACMMG220 Using properties of similarity and ratio

ACMSP225

Probability. This question is based on work from previous years and involves an understanding of fractions

ACMNA210 Representing extremely large numbers in scientific notation

ACMNA208 Solve problems involving direct proportion

ACMMG224 Apply trigonometry to solve right angle triangle problems

ACMNA296 Sketching circles

ACMNA215 Determine linear rules from suitable tables of values

ACMNA296 Sketching parabolas

ACMNA294 Find the midpoint of a line segment

ACMMG217 Calculate the volume of cylinders and solve related problems

ACMSP225 Determine probabilities of events

ACMMG222 Investigate Pythagoras' Theorem and its applications

Kilbaha Multimedia Publishing Author: Barbara Healy



Australian Curriculum Tests ? Summary - Mathematics Year 9

3

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

Question Curriculum reference

SA1-1 ACMMG222

Elaboration

Understanding that Pythagoras' Theorem is a useful tool for finding unknown lengths in a right angled triangle

SA1-2 ACMNA296 Sketching circles

SA1-3 ACMNA294 Find the gradient of a line segment

SA1-4

ACMMG224 Selecting and accurately using the correct trigonometric ratio to find unknown angles

SA1-5

ACMNA209 Simplifying and evaluating numerical expressions involving both positive and negative integer indices

SA1-6 ACMSP283 Describe displays using mean

SA1-7

ACMNA213

Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate

SA1-8 ACMNA209 Apply index laws to numerical expressions

SA1-9 ACMNA210 Express numbers in scientific notation

SA1-10 ACMNA296 Sketching parabolas

Kilbaha Multimedia Publishing Author: Barbara Healy



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