Australian Curriculum YEAR 9 TEST - Kilbaha
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MATHEMATICS
Australian Curriculum
YEAR 9
TEST
Kilbaha Multimedia Publishing
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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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Kilbaha Multimedia Publishing
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
Australian Curriculum Tests ? Summary - Mathematics Year 9
4
References and Elaborations (Some elaborations have been paraphrased by the author)
SA1-11 ACMMG224 Apply trigonometry to solve right angled triangle problems
SA1-12 ACMNA209 Apply index laws to numerical expressions with integer indices
SA1-13 ACMSP225
List outcomes for two-step chance experiments....and assign probabilities
SA1-14 ACMSP228 This is a logical reasoning problem involving numerical data
SA1-15
ACMNA208
Understanding the difference between direct and inverse proportion, identifying these in real life contexts and using these relationships to solve problems
SA1-16 ACMMG224 An understanding of what sine is required before applying trigonometry to solve right angled triangles
SA1-17 ACMSP283 Using mean, median and range
SA1-18 ACMMG221 Establishing the relationship between areas of similar figures and the ratio of corresponding sides
SA1-19 ACMNA211 Solve problems involving simple interest
SA1-20 ACMMG222 Investigate Pythagoras' Theorem and its application to solving simple problems
Kilbaha Multimedia Publishing Author: Barbara Healy
Australian Curriculum Tests ? Summary - Mathematics Year 9
5
References and Elaborations (Some elaborations have been paraphrased by the author)
Question SA2-1-A
Curriculum reference ACMNA209
Elaboration
Simplifying algebraic expressions using both positive and negative integral indices
SA2-1-B ACMNA213 Apply the distributive law to the expansion of algebraic expressions, including binomials
SA2-2-A ACMNA208 Solve problems involving direct proportion
SA2-2-B ACMMG220 Using the properties of similarity and ratio, and correct mathematical notation and language, to solve problems
SA2-3-A ACMNA296 Sketch simple non-linear relations
SA2-3-B ACMNA296 Sketch simple non-linear relations
SA2-4-A ACMSP225 Determine probabilities for events
SA2-4-B ACMSP225 Determine probabilities for events
SA2-5-A ACMMG218 Solve problems involving the volume of right prisms
SA2-5-B ACMMG218 Solve problems involving the surface area of right prisms
Kilbaha Multimedia Publishing Author: Barbara Healy
Australian Curriculum Tests ? Summary - Mathematics Year 9
6
References and Elaborations (Some elaborations have been paraphrased by the author)
SA2-6-A ACMNA211 Solve problems involving simple interest SA2-6-B ACMNA211 Solve problems involving simple interest SA2-7-A ACMNA296 Sketching simple non-linear relations SA2-7-B ACMNA296 Sketching simple non-linear relations SA2-8-A ACMMG224 Apply trigonometry to solve right angled triangle problems SA2-8-B ACMMG224 Apply trigonometry to solve right angled triangle problems SA2-9-A ACMMG222 Investigate Pythagoras' theorem and its application to solve
simple problems involving right angled triangles SA2-9-B ACMMG216 Calculating the areas of composite shapes SA2-10-A ACMSP282 Construct back-to-back stem and leaf plots SA2-10-B ACMSP283 Compare data displays using mean, median and range
Kilbaha Multimedia Publishing Author: Barbara Healy
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