Australian Curriculum YEAR 6 TESTSA2-1-A ACMNA131 Make connections between fractions and percentages SA2-1-B ACMNA131 Make connections between fractions, decimals and percentages SA2-2-A

$Page 1: Australian Curriculum YEAR 6 TESTSA2-1-A ACMNA131 Make connections between fractions and percentages SA2-1-B ACMNA131 Make connections between fractions, decimals and percentages SA2-2-A$
MATHEMATICS Australian Curriculum

YEAR 6

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

6 Barbara Healy Kilbaha Multimedia

Publishing

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Australian Curriculum Tests – Summary - Mathematics Year 6 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 ACMMG142 ACMMG143

Investigating translations Understanding that the Cartesian plane provides a graphical or visual way of describing location

MC2 ACMNA122 Identify and describe properties of prime numbers

MC3 ACMSP144 Describe probabilities using fractions, decimal and percentages

MC4 ACMMG136 Convert between common metric units

MC5 ACMNA124 Using number lines to position positive and negative numbers around zero

MC6 ACMNA126 Solve problems involving addition and subtraction of fractions with the same or related denominators.

MC7 ACMMG141 Defining acute, obtuse and reflex angles.

MC8 ACMNA125 Compare fractions with related denominators

MC9 ACMSP144 Describe probabilities using fractions, decimals and percentages

MC10 ACMNA131 Make connections between equivalent fractions, decimals and percentages

MC11 ACMMG140 Constructing prisms

MC12 ACMMG138 Connect volume and capacity and their units of measurement

MC13 ACMMG142 ACMMG143

Investigate combinations of translations, reflections and rotations Introduce Cartesian co-ordinate system

MC14 ACMMG141 Identifying that the size of a right angle is 900.

MC15 ACMSP147 Interpret and compare a range of data displays



MC16 ACMNA124 Investigate everyday situations that use positive and negative

whole numbers

MC17 ACMNA123 Applying strategies already developed for solving problems involving small numbers to those involving large numbers

MC18 ACMNA132 Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items

MC19 ACMSP144 Describing probabilities using fractions

MC20 ACMMG140 Construct simple prisms and pyramids

MC21 ACMNA131 Make connections between equivalent fractions, decimals and percentages

MC22 ACMMG141 Investigate vertically opposite angles

MC23 ACMNA134 Explore the use of brackets and order of operations to write number sentences

MC24 ACMSP148 Identify data not related to the Population about which the claims are made

MC25 ACMSP147 Interpret and compare a range of data displays including side-by-side column graphs

MC26 ACMMG141 Making reasonable estimates of angles up to a complete turn of 3600.

MC27 ACMNA128 Exploring and practicing efficient methods for solving problems requiring operations on decimals.

MC28 ACMNA127 ACMSP144

Finding a simple fraction of a quantity Describing probabilities using fractions

MC29 ACMSP148 Identifying potentially misleading data representations

MC30 ACMNA133 Identifying and generalising number patterns as the beginning of algebraic thinking



Question Curriculum


SA1-1 ACMMG141 Defining acute, obtuse and reflex angles

SA1-2 ACMNA122 Identify and describe properties of square numbers

SA1-3 ACMNA128 Addition and subtraction of decimal numbers up to thousandths

SA1-4 ACMNA128 Use estimation and rounding

SA1-5 ACMMG143 Introduce the Cartesian coordinate system using all four quadrants

SA1-6 ACMMG141 Investigate angles on a straight line

SA1-7 ACMNA122 Identify and describe properties of composite numbers.

SA1-8 ACMNA127 Find a simple fraction of a quantity where the result is a whole number

SA1-9 ACMNA130 ACMNA131

Multiply and divide decimals by powers of 10 Connect fraction, decimals and percentages as different representations of the same number

SA1-10 ACMNA128 Exploring and practicing efficient methods for solving problems requiring operations on decimals



SA1-11 ACMNA132 Being able to calculate 10%, 25% and 50% of prices

SA1-12 ACMMG139 Interpret and use timetables

SA1-13 ACMNA128

Adding decimals and Use estimation and rounding

SA1-14 ACMSP145 ACMSP144

Conduct chance experiments Express probabilities as fractions.

SA1-15 ACMSP144 ACMNA125

Describe probabilities using fractions Demonstrating equivalence between fractions

SA1-16 ACMMG136 ACMNA123

Convert between common metric units Applying a range of strategies to solve realistic problems

SA1-17 ACMNA133 Continue and create sequences involving whole numbers. Describe the rule used to create the sequence

SA1-18 ACMMG142 ACMMG143

Investigate combinations of reflections and rotations Introduce the Cartesian coordinate system using all four quadrants

SA1-19 ACMNA123 Apply strategies already developed for solving problems

SA1-20 ACMMG137 Solve problems involving a comparison of lengths and areas



Question Curriculum


SA2-1-A ACMNA131 Make connections between fractions and percentages

SA2-1-B ACMNA131 Make connections between fractions, decimals and percentages

SA2-2-A ACMSP147 Understanding that data can be represented in different ways, sometimes with one symbol representing more than one piece of data, and that it is important to read all information about a representation before making judgments

SA2-2-B ACMSP147 Understanding that data can be represented in different ways, sometimes with one symbol representing more than one piece of data, and that it is important to read all information about a representation before making judgments

SA2-3-A ACMNA133 Continue and create sequences involving whole numbers

SA2-3-B ACMNA133 Describe the rule used to create the sequence

SA2-4-A ACMMG137 Volume and its units of measurement

SA2-4-B ACMMG138 Recognising that 1 ml is equivalent to 1 cm3.

SA2-5-A ACMSP147 Interpret and compare a range of data displays

SA2-5-B ACMSP147 ACMNA131

Interpret and compare a range of data displays Make connections between equivalent fractions and percentages



SA2-6-A ACMNA131 Choosing the appropriate form of fraction, decimal or

percentage for the problem being solved

SA2-6-B ACMNA131 Choosing the appropriate form of fraction, decimal or percentage for the problem being solved

SA2-7-A ACMNA123 Applying strategies already developed for solving problems involving small numbers to those involving large numbers

SA2-7-B ACMNA123 Applying strategies already developed for solving problems involving small numbers to those involving large numbers

SA2-8-A ACMMG140 Construct prisms from skeletal models

SA2-8-B ACMMG140 Construct prisms from skeletal models

SA2-9-A ACMNA129 Perform division of decimals by non-zero whole numbers where the results are terminating decimals

SA2-9-B ACMNA129 Perform division of decimals by non-zero whole numbers where the results are terminating decimals

SA2-10-A ACMNA129 ACMMG136

Multiply decimals by whole numbers Convert between common metric units

SA2-10-B ACMNA128 Exploring and practicing efficient methods for solving problems requiring operations on decimals



Question Curriculum


SA3-1-A ACMMG141 Investigate angles on a straight line

SA3-1-B ACMMG141 Investigate vertically opposite angles

SA3-1-C ACMMG141 Identifying that the size of a right angle is 900

SA3-2-A ACMMG139 Interpret and use timetables

SA3-2-B ACMMG139 Interpret and use timetables

SA3-2-C ACMMG139 Interpret and use timetables

SA3-3-A ACMNA128 Extending whole number strategies to explore and solve written problems involving decimals

SA3-3-B ACMNA128 Extending whole number strategies to explore and solve written problems involving decimals

SA3-3-C ACMNA128 Solving problems involving operations with decimals

SA3-4-A ACMSP147 Interpret and compare a range of data displays including side by side column graphs

SA3-4-B ACMSP147 Interpret and compare a range of data displays including side by side column graphs

SA3-4-C ACMSP147 Interpret and compare a range of data displays including side by side column graphs

SA3-5-A ACMSP145 Conduct chance experiments and describe probabilities using fractions and developing an understanding of equivalent fractions

SA3-5-B ACMSP145 ACMSP144 ACMNA126

Conduct chance experiments Describe probabilities using fractions Developing an understanding of equivalent fractions

SA3-5-C ACMSP145 ACMSP144 ACMNA126

Conduct chance experiments Describe probabilities using fractions Developing an understanding of equivalent fractions



SA3-6-A ACMSP147 Interpret and compare a large range of data displays

SA3-6-B ACMSP147 Interpret and compare a large range of data displays

SA3-6-C ACMSP147 Interpret and compare a large range of data displays

SA3-7-A ACMNA126 Solve problems involving subtraction of fractions with

related denominators

SA3-7-B ACMNA126 Solve realistic addition problems involving fractions

SA3-7-C ACMNA127 Finding a fraction of a quantity where the answer is a whole number

SA3-8-A ACMMG137 Solve problems involving the comparison of lengths and area

SA3-8-B ACMMG137 Solve problems involving the comparison of lengths and area

SA3-8-C ACMMG137 Solve problems involving the comparison of lengths and area

SA3-9-A ACMMG140 Construct simple prisms

SA3-9-B ACMNA132 Calculate percentages of 50% of amounts

SA3-9-C ACMMG136 Convert between common metric units

SA3-10-A ACMSP144 Investigate games of chance

SA3-10-B ACMSP144 Investigate games of chance

SA3-10-C ACMSP144

Write probabilities as fractions

End of Summary Australian Curriculum References and Elaborations

Mathematics Year 6 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 6



Australian Curriculum Test Page 1 Mathematics Year 6 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

The point on the above axes is moved 2 units up and then 3 units to the left. What are the coordinates of the point in this new position? A.

(0,3)

B.

(3,0)

C. (3,6)

D. (6,3)

Write the letter for the correct answer in this box.

5 y

1

1 2

2

3

3

4

4

5 x 6


20 ONE MARK SHORT ANSWER

QUESTIONS Mathematics

Year 6



Australian Curriculum Test Page 1 Mathematics Year 6 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 Which letter is at the vertex of the obtuse angle in the above triangle?

Write your answer in this box.

A

B

C


10 TWO MARK SHORT ANSWER


Year 6



Australian Curriculum Test Page 1 Mathematics Year 6 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

10% of the people at a particular movie wore glasses. A.

What fraction of the people at this movie wore glasses?

_______________________________________________________________________________

_______________________________________________________________________________

_______________________________________________________________________________

B.

Write the number of people who wore glasses at this movie as a decimal.

_______________________________________________________________________________

_______________________________________________________________________________

_______________________________________________________________________________

http://bit.ly/qgJq4d



DETAILED ANSWERS TO 30 MULTIPLE CHOICE


Year 6




Answer Summary for Multiple-Choice Questions Mathematics Year 6

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

Q10 C Q20 A Q30 B

Australian Curriculum Test Page 1 Mathematics Year 6 Detailed Answers to Multiple Choice Questions


Question 1 A

The point is originally at x = 3 and y = 1 which is the point (3,1). When it is moved 2 units up, it is at x = 3 and y = 3 which is the point (3,3). When it is moved 3 units to the left, it is at x = 0 and y = 3 which is the point (0,3). Australian Curriculum References: “Investigating translations” and “ Understanding that the Cartesian plane provides a graphical or visual way of describing location” http://bit.ly/nERhqw

5 y

1

1 2

2

3

3

4

4

5 x 6



DETAILED ANSWERS TO 20 ONE MARK

SHORT ANSWER QUESTIONS Mathematics

Year 6




Answer Summary for 1 Mark Short Answer Questions

Mathematics Year 6

Q1 A

Q11 $94.60

Q2 25

Q12 10:00 a.m.

Q3 2.914

Q13 C

Q4 12.4

Q14 9100

Q5 (1, -2)

Q15 8

Q6 120o

Q16 10

Q7 6

Q17 11

Q8 52

Q18 (0, -4)

Q9 0.6 %

Q19 4:00 p.m.

Q10 $46.80

Q20 4 m2

Australian Curriculum Test Page 1 Mathematics Year 6 Detailed Answers to 1 Mark Short Answer Questions


Question 1 An obtuse angle is an angle greater than 900 and less than 1800. The vertex is where two lines meet. So, A is the letter at the vertex of the obtuse angle. Australian Curriculum Reference: “Defining acute, obtuse and reflex angles” http://bit.ly/opmXAM http://bit.ly/mOvAla

A

B

C



DETAILED ANSWERS TO 10 TWO MARK

SHORT ANSWER QUESTIONS Mathematics

Year 6



Australian Curriculum Test Page 1 Mathematics Year 6 Detailed Answers to 2 Mark Short Answer Questions


Question 1

A. 10% is 10100

=110

, so 110

of the people at the movie wore glasses

Australian Curriculum Reference: “Make connections between fractions and percentages” http://bit.ly/p3gdg2

B. 10% = 110

= 0.1

Australian Curriculum Reference: “Make connections between fractions, decimals and percentages” http://bit.ly/q1mXGn

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

Use for the new Australian Curriculum and the current State Curricula

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



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



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AUSTRALIAN CURRICULUM Comprehensive Tests and Mark Book

GEOGRAPHY Year 10



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Mark Book supplied on CD Price

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Australian Curriculum YEAR 6 TESTSA2-1-A ACMNA131 Make connections between fractions and percentages SA2-1-B ACMNA131 Make connections between fractions, decimals and percentages SA2-2-A