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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

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)

Kilbaha Multimedia Publishing http://kilbaha.com.au Author: Barbara Healy

Question Curriculum

reference Elaboration

MC1 ACMNA209 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 ACMSP226

List all outcomes of two-step chance experiments….. using tree diagrams or arrays Estimate probabilities of events using ‘and’ or ‘or’



MC16 ACMMG218 Solve problems involving volume of right prisms

MC17 ACMSP282

ACMSP283

Use terms including skewed, symmetric and bimodal Compare data displays using mean, median and range

MC18 ACMNA209 ACMNA209

Applying knowledge of index laws to algebraic terms Simplifying algebraic expressions, using both positive and negative indices

MC19 ACMMG222 ACMMG220

Understanding that Pythagoras’ theorem is a useful tool for determining unknown lengths of right angled triangles Using properties of similarity and ratio

MC20 ACMSP225 Probability. This question is based on work from previous years and involves an understanding of fractions

MC21 ACMNA210 Representing extremely large numbers in scientific notation

MC22 ACMNA208 Solve problems involving direct proportion

MC23 ACMMG224 Apply trigonometry to solve right angle triangle problems

MC24 ACMNA296 Sketching circles

MC25 ACMNA215 Determine linear rules from suitable tables of values

MC26 ACMNA296 Sketching parabolas

MC27 ACMNA294 Find the midpoint of a line segment

MC28 ACMMG217 Calculate the volume of cylinders and solve related problems

MC29 ACMSP225 Determine probabilities of events

MC30 ACMMG222 Investigate Pythagoras’ Theorem and its applications



Question Curriculum


SA1-1 ACMMG222 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



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



Question Curriculum


SA2-1-A ACMNA209

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



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



Question Curriculum


SA3-1-A ACMMG224 Understanding the terms ‘adjacent’ and ‘opposite’ sides of a right angled triangle

SA3-1-B ACMMG224 Apply trigonometry to solve right angled triangles

SA3-1-C ACMMG224 Apply trigonometry to solve right angled triangles

SA3-2-A ACMNA213 Understanding the inverse relationship between expansion and factorisation

SA3-2-B ACMNA213 Understanding the inverse relationship between expansion and factorisation

SA3-2-C ACMNA213 Understanding the inverse relationship between expansion and factorisation

SA3-3-A ACMSP283 Interpreting given data

SA3-3-B ACMSP226 Calculate relative frequencies

SA3-3-C ACMSP283 Interpreting given data

SA3-4-A ACMMG218 Solve problems involving the volume of a right prism

SA3-4-B ACMMG218 Solve problems involving the volume of a right prism

SA3-4-C ACMMG218 Solve problems involving the volume of a right prism

SA3-5-A ACMNA215 Determine linear rules

SA3-5-B ACMNA215 Solving a simple linear equation from previous year

SA3-5-C ACMNA215 Sketch a linear graph using the coordinates of two points



SA3-6-A ACMSP282 Describe histograms using terms such as bimodal

SA3-6-B ACMSP282 Construct histograms

SA3-6-C ACMSP282 Construct histograms

SA3-7-A ACMNA213 Understanding the inverse relationship between expansion

and factorisation

SA3-7-B ACMNA213 Understanding the inverse relationship between expansion and factorisation

SA3-7-C ACMNA213 Understanding the inverse relationship between expansion and factorisation

SA3-8-A ACMNA215 Determining linear rules from suitable diagrams

SA3-8-B ACMNA296 Sketching parabolas

SA3-8-C ACMNA296 Sketching parabolas

SA3-9-A ACMSP225 List all outcomes for two-step chance experiments

SA3-9-B ACMSP225 Determine probabilities of events

SA3-9-C ACMSP225 Determine probabilities of events

SA3-10-A ACMMG222

Understanding that Pythagoras’ theorem is a useful tool in determining unknown lengths in right angled triangles

SA3-10-B ACMMG220 Establish the conditions for similarity for two triangles

SA3-10-C ACMMG222 Solve simple problems involving right angled triangles

End of Summary Australian Curriculum References and Elaborations

Mathematics Year 9 Test Kilbaha Multimedia Publishing Est. 1978 ABN 47 065 111 373 PO Box 2227 Kew Vic 3101 Australia

Tel: 03 9018 5376 Fax: 03 9817 4334 Email: [email protected] Web: http://kilbaha.com.au

Australian Curriculum

30 MULTIPLE CHOICE QUESTIONS Mathematics

Year 9



Australian Curriculum Test Page 1 Mathematics Year 9 Section A - Multiple Choice Questions


Answer all questions in this section. Write the letter for the correct answer in the box. A correct answer scores 1 mark, an incorrect answer scores 0. No mark will be given for a question if two or more letters are written in the box. Marks will not be deducted for incorrect answers and you should attempt every question. Question 1 What is the value of 34 ? A.

12

B.

27

C. 64

D. 81

Write the letter for the correct answer in this box.


20 ONE MARK SHORT ANSWER

QUESTIONS Mathematics

Year 9



Australian Curriculum Test Page 1 Mathematics Year 9 Section B – 20 One Mark Short Answer Questions


There are 20 one mark short answer questions in this section. Answer all questions. Write your answer in the box. A correct answer scores 1 mark, an incorrect answer scores 0. Marks will not be deducted for incorrect answers and you should attempt every question. Question 1 Brigid rests a ladder that is 3.4 m long against a wall so that the foot of the ladder is 1.6 m from the wall. How far up the wall will the ladder reach?

Write your answer in this box.

3.4 m

1.6 m

x m


10 TWO MARK SHORT ANSWER


Year 9



Australian Curriculum Test Page 1 Mathematics Year 9 Section C – 10 Two Mark Short Answer Questions


There are 10 short answer questions in this section each worth 2 marks. Answer all questions. Write your answers in the spaces provided. Marks will not be deducted for incorrect answers and you should attempt every question. Question 1 A. Simplify

10a3b2 c2( )315ab4

÷a b2c( )5a3b7

_______________________________________________________________________________

_______________________________________________________________________________

_______________________________________________________________________________

B.

Expand -3(x – 4)(2x + 5) before simplifying

_______________________________________________________________________________

_______________________________________________________________________________

_______________________________________________________________________________



DETAILED ANSWERS TO 30 MULTIPLE CHOICE


Year 9




Answer Summary for Multiple-Choice Questions Mathematics Year 9

Q1 D Q11 A Q21 D Q2 C Q12 C Q22 B Q3 A Q13 D Q23 C Q4 B Q14 D Q24 C Q5 A Q15 B Q25 B Q6 B Q16 C Q26 A Q7 B Q17 D Q27 A Q8 A Q18 A Q28 B Q9 C Q19 B Q29 D

Q10 C Q20 B Q30 B

Australian Curriculum Test Page 1 Mathematics Year 9 Detailed Answers to Multiple Choice Questions


Question 1 D 34 = 3! 3! 3! 3 = 81 Australian Curriculum Reference: “Apply index laws to numerical expressions with integer indices” http://bit.ly/ug2vVk



DETAILED ANSWERS TO 20 ONE MARK

SHORT ANSWER QUESTIONS Mathematics

Year 9




Answer Summary for 1 Mark Short Answer Questions

Mathematics Year 9

Q1 3 metres

Q11 3.6 metres

Q2 x2 + y2 = 4

Q12 !23

Q3 -1

Q13 29

Q4 450

Q14 9, 11, 18, 14, 8

Q5 -5

Q15 20 minutes

Q6 2.25 hours

Q16

Q7 6x2 + 7x ! 5

Q17 3, 7, 11

Q8 11.69

Q18 6 metres

Q9 2.4 !10 6

Q19 $178.33

Q10 x = 2

Q20 9 metres

Australian Curriculum Test Page 1 Mathematics Year 9 Detailed Answers to 1 Mark Short Answer Questions


Question 1 Using Pythagoras' Theoremx2 +1.62 = 3.42

x2 = 11.56 ! 2.56 = 9

x = 9 = 3The ladder will reach 3 metres up the wall.

Australian Curriculum Reference: “Understanding that Pythagoras’ Theorem is a useful tool for finding unknown lengths in a right angled triangle”. http://bit.ly/vSUA31

3.4 m

1.6 m

x m


DETAILED ANSWERS TO 10 TWO MARK

SHORT ANSWER QUESTIONS Mathematics

Year 9



Australian Curriculum Test Page 1 Mathematics Year 9 Detailed Answers to 2 Mark Short Answer Questions


Question 1 A. 10a3b2 c 2( )315ab 4

÷a b 2c( )5a 3b7

=10a3b2 c2( )315ab4

!a 3b 7

a b2c( )5

=10a3b2c 6

15ab 4!a3b7

ab10 c5=2a6b9c6

3a2b14c5=2a4c3b5

Australian Curriculum Reference: Australian Curriculum Reference: “Simplifying algebraic expressions using both positive and negative integral indices” http://bit.ly/vfDZxi B. -3(x – 4)(2x + 5) = !3[x(2x + 5) ! 4(2x + 5)]

= !3[2x2 + 5x ! 8x ! 20]

= !3[2x2 ! 3x ! 20]

= !6x2 + 9x + 60

Australian Curriculum Reference: “Apply the distributive law to the expansion of algebraic expressions, including binomials” http://bit.ly/vhJKpB

Everything in this catalogue can also be downloaded from http://kilbaha.com.au

Use for the new Australian Curriculum and the current State Curricula

Kilbaha Multimedia Publishing

Supplying quality resources to schools and students since 1978

ABN 47 065 111 373

Kilbaha Multimedia Publishing PO Box 2227 Kew Vic 3101 Australia

Tel: (03) 9018 5376 Fax: (03) 9817 4334 Email: [email protected]

Bill Healy BSc BA Dip Ed CEO Mobile: +61 413 425 374

Web1: http://kilbaha.com.au Web2: http://naplan.blogspot.com


Catalogue

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Sample questions can be downloaded at http://kilbaha.com.au

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AUSTRALIAN CURRICULUM Comprehensive Tests and Mark Books

ENGLISH Years 5, 6, 7, 8, 9, 10

Kilbaha Multimedia Publishing (Est. 1978) (ABN 47 065 111 373) PO Box 2227 Kew Vic 3101 Australia

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SCHOOL ORDER NUMBER (required) _________________________________ DATE ____________________ NAME_________________________________________________________________________________________ SCHOOL ______________________________________________________________________________________ ADDRESS______________________________________________________________________________________ TOWN_________________________________________________________________________________________ POSTCODE_______________________TEL __________________________FAX __________________________ EMAIL_________________________________________________________________________________________ Features of each of these Australian Curriculum English Tests and English Mark Books • Comprehensive coverage of the Australian Curriculum for English for each level (Years 5, 6, 7, 8, 9, 10) • 30 multiple choice questions with detailed answers (30 × 1 = 30 marks) • 40 short answer questions with detailed answers (20 × 1 = 20 marks), (10 × 2 = 20 marks), (10 × 3 = 30 marks) • Supplied in Word format for easy editing so that you can create your own tests • Supplied in pdf format for easy printing so that you can produce tests quickly • Each question is precisely mapped to a concept in the Australian Curriculum • Web links are provided with each answer so that you can do research on each curriculum topic. • Mark Books are available in Excel, Word and pdf formats so that you can record your students’ progress easily • *Unlimited and on-going school site licence for the printing and / or electronic use of all Tests and Mark Books • Sample questions can be downloaded at http://kilbaha.com.au

Please mark (X) those required. Australian Curriculum Tests and

Mark Books supplied on CD Price Australian Curriculum Tests and

Mark Books supplied on CD Price

Year 5 English $30 Year 6 English $30 Year 5 English Mark Book $10 Year 6 English Mark Book $10 Year 7 English $30 Year 8 English $30 Year 7 English Mark Book $10 Year 8 English Mark Book $10 Year 9 English $30 Year 10 English $30 Year 9 English Mark Book $10 Year 10 English Mark Book $10

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MATHEMATICS Years 5, 6, 7, 8, 9, 10, 10A



SCHOOL ORDER NUMBER (required) _________________________________ DATE ____________________ NAME_________________________________________________________________________________________ SCHOOL ______________________________________________________________________________________ ADDRESS______________________________________________________________________________________ TOWN_________________________________________________________________________________________ POSTCODE_______________________TEL __________________________FAX __________________________ EMAIL_________________________________________________________________________________________ Features of each of these Australian Curriculum Mathematics Tests and Mathematics Mark Books • Comprehensive coverage of the Australian Curriculum for Mathematics for each level (Years 5, 6, 7, 8, 9, 10, 10A) • 30 multiple choice questions with detailed answers (30 × 1 = 30 marks) • 40 short answer questions with detailed answers (20 × 1 = 20 marks), (10 × 2 = 20 marks), (10 × 3 = 30 marks) • Supplied in Word format for easy editing so that you can create your own tests • Supplied in pdf format for easy printing so that you can produce tests quickly • Each question is precisely mapped to a concept in the Australian Curriculum • Web links are provided with each answer so that you can do research on each curriculum topic. • Mark Books are available in Excel, Word and pdf formats so that you can record your students’ progress easily • *Unlimited and on-going school site licence for the printing and / or electronic use of all Tests and Mark Books • Sample questions can be downloaded at http://kilbaha.com.au




Year 5 Mathematics $30 Year 6 Mathematics $30 Year 5 Mathematics Mark Book $10 Year 6 Mathematics Mark Book $10 Year 7 Mathematics $30 Year 8 Mathematics $30 Year 7 Mathematics Mark Book $10 Year 8 Mathematics Mark Book $10 Year 9 Mathematics $30 Year 10 Mathematics $30 Year 9 Mathematics Mark Book $10 Year 10 Mathematics Mark Book $10 Year 10A Mathematics $30 Year 10A Mathematics Mark Book $10



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SCIENCE Years 5, 6, 7, 8, 9, 10



SCHOOL ORDER NUMBER (required) _________________________________ DATE ____________________ NAME_________________________________________________________________________________________ SCHOOL ______________________________________________________________________________________ ADDRESS______________________________________________________________________________________ TOWN_________________________________________________________________________________________ POSTCODE_______________________TEL __________________________FAX __________________________ EMAIL_________________________________________________________________________________________ Features of each of these Australian Curriculum Science Tests and Science Mark Books • Comprehensive coverage of the Australian Curriculum for Science for each level (Years 5, 6, 7, 8, 9, 10) • 30 multiple choice questions with detailed answers (30 × 1 = 30 marks) • 40 short answer questions with detailed answers (20 × 1 = 20 marks), (10 × 2 = 20 marks), (10 × 3 = 30 marks) • Supplied in Word format for easy editing so that you can create your own tests • Supplied in pdf format for easy printing so that you can produce tests quickly • Each question is precisely mapped to a concept in the Australian Curriculum • For Years 7, 8, 9, 10 there are two (2) complete, different tests available as described above • Web links are provided with each answer so that you can do research on each curriculum topic. • Mark Books are available in Excel, Word and pdf formats so that you can record your students’ progress easily • *Unlimited and on-going school site licence for the printing and / or electronic use of all Tests and Mark Books • Sample questions can be downloaded at http://kilbaha.com.au




Year 5 Science $30 Year 6 Science $30 Year 5 Science Mark Book $10 Year 6 Science Mark Book $10 Year 7 Science Test 1 $30 Year 8 Science Test 1 $30 Year 7 Science Test 2 $30 Year 8 Science Test 2 $30 Year 7 Science Mark Book $10 Year 8 Science Mark Book $10 Year 9 Science Test 1 $30 Year 10 Science Test 1 $30 Year 9 Science Test 2 $30 Year 10 Science Test 2 $30 Year 9 Science Mark Book $10 Year 10 Science Mark Book $10



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HISTORY Years 5, 6, 7, 8, 9, 10



SCHOOL ORDER NUMBER (required) _________________________________ DATE ____________________ NAME_________________________________________________________________________________________ SCHOOL ______________________________________________________________________________________ ADDRESS______________________________________________________________________________________ TOWN_________________________________________________________________________________________ POSTCODE_______________________TEL __________________________FAX __________________________ EMAIL_________________________________________________________________________________________ Features of each of these Australian Curriculum History Tests and History Mark Books • Comprehensive coverage of the Australian Curriculum for History for each level (Years 5, 6, 7, 8, 9, 10) • 30 multiple choice questions with detailed answers (30 × 1 = 30 marks) • 40 short answer questions with detailed answers (20 × 1 = 20 marks), (10 × 2 = 20 marks), (10 × 3 = 30 marks) • Supplied in Word format for easy editing so that you can create your own tests • Supplied in pdf format for easy printing so that you can produce tests quickly • Each question is precisely mapped to a concept in the Australian Curriculum • Web links are provided with each answer so that you can do research on each curriculum topic. • Mark Books are provided in Excel, Word and pdf formats so that you can record your students’ progress easily • *Unlimited and on-going school site licence for the printing and / or electronic use of all Tests and Mark Books • Sample questions can be downloaded at http://kilbaha.com.au




Year 5 History $30 Year 6 History $30 Year 5 History Mark Book $10 Year 6 History Mark Book $10 Year 7 History $30 Year 8 History $30 Year 7 History Mark Book $10 Year 8 History Mark Book $10 Year 9 History $30 Year 10 History $30 Year 9 History Mark Book $10 Year 10 History Mark Book $10



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AUSTRALIAN CURRICULUM Comprehensive Tests and Mark Book

GEOGRAPHY Year 10



SCHOOL ORDER NUMBER (required) _________________________________ DATE ____________________ NAME_________________________________________________________________________________________ SCHOOL ______________________________________________________________________________________ ADDRESS______________________________________________________________________________________ TOWN_________________________________________________________________________________________ POSTCODE_______________________TEL __________________________FAX __________________________ EMAIL_________________________________________________________________________________________ Features of each of these Australian Curriculum Geography Tests and Geography Mark Book • Comprehensive coverage of the Australian Curriculum for Geography for Year 10 • 30 multiple choice questions with detailed answers (30 × 1 = 30 marks) • 40 short answer questions with detailed answers (20 × 1 = 20 marks), (10 × 2 = 20 marks), (10 × 3 = 30 marks) • Supplied in Word format for easy editing so that you can create your own tests • Supplied in pdf format for easy printing so that you can produce tests quickly • Each question is precisely mapped to a concept in the Australian Curriculum • Web links are provided with each answer so that you can do research on each curriculum topic. • Mark Book available in Excel, Word and pdf formats so that you can record your students’ progress easily • *Unlimited and on-going school site licence for the printing and / or electronic use of all Tests and Mark Books • Sample questions can be downloaded at http://kilbaha.com.au


Mark Book supplied on CD Price

Year 10 Geography

$30

Year 10 Geography Mark Book

$10



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