Download PATMaths Fourth Edition alignment to the NSW numeracy continuum

PATMaths Fourth Edition
alignment to the
NSW numeracy continuum
http://acer.ac/patmnsw
Australian Council for Educational Research
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Test 1 item descriptors and NSW numeracy continuum links
Item
Strand
Stage
K–10 syllabus
outcome
1
N&A
1
MA1-7NA
Fractions and decimals
4
87.7
Recognise a half of a group
2
N&A
1
MA1-4NA
Whole numbers
4
94.0
Recognise the place values of a two-digit number
3
N&A
1
MA1-5NA
Addition and subtraction
5
95.0
Find the missing number in a simple addition
4
N&A
1
MA1-4NA
Whole numbers
5
96.0
Put one-digit and two-digit numbers in order
5
N&A
1
MA1-4NA
Whole numbers
5
95.8
Recognise the coins that give a small total amount of money ($1)
6
N&A
1
MA1-4NA
Whole numbers
5
96.7
Recognise the number that lies between two two-digit numbers
7
N&A
ES1
MAe-8NA
Patterns and algebra
5
97.9
Recognise counting by fours with two-digit numbers
8
N&A
ES1
Mae-5NA
Whole numbers
5
99.7
Count by naming numbers in sequence
9
N&A
1
MA1-4NA
Whole numbers
5
99.3
Find the fourth number in sequence
10
N&A
1
MA1-4NA
Whole numbers
5
99.8
Identify and order representations of numbers
11
N&A
ES1
MAe-8NA
Patterns and algebra
5
96.5
Locate an object in given groupings
12
N&A
1
MA1-7NA
Fractions and decimals
5
100.9
Calculate half of a small even number
13
N&A
1
MA1-5NA
Addition and subtraction
5
102.7
Solve a simple word problem by subtracting two-digit numbers
14
N&A
1
MA1-5NA
Addition and subtraction
6
107.1
Solve a simple subtraction problem
15
N&A
1
MA1-4NA
Whole numbers
6
108.3
Interpret a given representation of numbers
16
M&G
ES1
MAe-15MG
Two-dimensional space
3
84.4
Recognise a triangle from a description of its sides and corners
17
M&G
1
MA-14MG
Three-dimensional space
4
91.2
Recognise the 3D object that looks like a cylinder
18
M&G
ES1
MAe-15MG
Two-dimensional space
5
95.1
Recognise a square among other 2D shapes
Continuum sub-strand
PATMaths
achievement level
Item difficulty
(patm)
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
2
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
19
M&G
1
MA1-14MG
Three-dimensional space
4
93.9
Recognise a sphere among other 3D objects
20
M&G
1
MA1-16MG
Position
5
99.1
Follow a path using left turn, right turn
21
M&G
1
MA1-13MG
Time
3
83.3
Read a digital clock
22
M&G
1
MA1-13MG
Time
5
100.0
Use a calendar to read a day of the week for a given date
23
M&G
1
MA1-13MG
Time
5
100.1
Read time on a clock face to the half hour
24
M&G
1
MA1-10MG
Area
5
104.0
Choose the shape that covers the fewest grid squares
25
M&G
1
MA1-13MG
Time
6
116.1
Describe duration using hours
26
S&P
1
MA1-17SP
Data
5
96.2
Understand one-to-one correspondence when reading displays
27
S&P
1
MA1-17SP
Data
5
96.9
Find the item named most often in a given list
28
S&P
1
MA1-17SP
Data
5
95.3
Use a simple data display to find the number of items in a category
29
S&P
1
MA1-17SP
Data
5
101.7
Read a pictograph where the symbol stands for one unit
30
S&P
2
MA2-18SP
Data
6
108.1
Describe the best question to ask for a simple survey
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
3
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Test 2 item descriptors and NSW numeracy continuum links
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
1
N&A
1
MA1-5NA
Addition and subtraction
5
94.8
Find the missing number in a subtraction that gives zero 2
N&A
2
MA2-5NA
Addition and subtraction
5
96.0
Use given symbols for hundreds, tens and ones to work out a total
3
N&A
1
MA1-7NA
Fractions and decimals
5
96.8
Recognise that half is doubled to make a whole
4
N&A
2
MA2-7NA
Fractions and decimals
5
102.1
Recognise the point on a number line that shows the smallest fraction
5
N&A
2
MA2-8NA
Patterns and algebra
6
105.1
Solve an addition equation with two-digit numbers (using subtraction or by
inspection)
6
N&A
1
MA1-5NA
Addition and subtraction
6
105.4
Work out a simple subtraction problem (95 – 72)
7
N&A
1
MA1-7NA
Fractions and decimals
6
106.9
Work out the cost of half a given quantity
8
N&A
1
MA1-6NA
Multiplication and division
6
108.5
Recognise the calculation that gives the correct answer to a simple problem
9
N&A
1
MA1-4NA
Whole number 1
6
110.9
Recognise the number of 10-cent coins needed to make a small total amount
10
N&A
1
MA1-5NA
Addition and subtraction
6
108.5
Solve a simple problem requiring addition of two two-digit numbers
11
N&A
2
MA2-6NA
Multiplication and division
6
108.3
Divide a multiple of ten by ten
12
N&A
1
MA1-8NA
Patterns and algebra
6
110.0
Find the missing number in a counting pattern
13
N&A
1
MA1-4NA
Whole numbers
7
115.6
Put three-digit numbers in order
14
N&A
2
MA2-5NA
Addition and subtraction
7
116.1
Choose the correct operation to find the difference between two numbers in
context
15
N&A
1
MA1-8NA
Patterns and algebra
7
115.6
Find the next term in a pattern shown visually
16
M&G
2
MA2-15MG
Two-dimensional space
5
95.0
Recognise a square from a description of its sides and corners
17
M&G
3
MA3-14MG
Three-dimensional space
5
99.3
Choose the 3D object that fits in a given hole
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
4
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
18
M&G
3
MA3-14MG
Three-dimensional space
5
105.4
Construct arrangements of objects from instructions using positional
language
19
M&G
2
MA2-15MG
Two-dimensional space
6
111.4
Choose the 2D shape that combines with a given shape to make a square
20
M&G
1
MA1-15MG
Two-dimensional space
7
115.1
Select the shape with curved sides only
21
M&G
1
MA1-11MG
Volume and capacity
5
94.3
Recognise the cuboid with the smallest capacity (holds the least soil) 22
M&G
1
MA1-13MG
Time
5
103.9
Work out the date one week before a given date on a monthly calendar
23
M&G
1
MA1-13MG
Time
5
104.2
Find the date for a given day on a monthly calendar
24
M&G
1
MA1-13MG
Time
6
106.9
Choose the clock face time that matches a given digital time (9:45)
25
M&G
1
MA1-13MG
Time
6
114.2
Solve a simple word problem involving time difference
26
S&P
1
MA1-17SP
Data
5
98.9
Find a total from a pictograph where the symbol stands for one unit
27
S&P
1
MA1-17SP
Data
4
94.9
Choose a category in a pictograph from given information
28
S&P
2
MA2-18SP
Data
5
102.9
Compare two values from a column graph
29
S&P
2
MA2-18SP
Data
6
107.3
Read a simple column graph
30
S&P
1
MA1-17SP
Data
7
117.1
Identify the category tallies that match a given set of data
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
5
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Test 3 item descriptors and NSW numeracy continuum links
Item
Strand
Stage
K–10 syllabus
outcome
1
N&A
1
MA2-8NA
Patterns and algebra
5
97.6
2
N&A
2
MA2-4NA
Whole numbers
6
106.9
Recognise a four-digit number written in words when one of the place
values is zero
3
N&A
2
MA2-7NA
Fractions and decimals
6
108.2
Recognise 4/5 shown as four selected from a group of five
4
N&A
2
MA2-6NA
Multiplication and division 1
5
104.7
Match a number sentence with x to a simple story
5
N&A
2
MA2-5NA
Addition and subtraction 1
5
105.1
Recognise the set of coins that shows change from $2
6
N&A
2
MA2-7NA
Fractions and decimals
6
105.5
Choose the fraction notation that shows shaded parts of a whole
7
N&A
2
MA2-6NA
Multiplication and division
6
106.5
Choose the correct description of a sharing (division) process
8
N&A
2
MA2-4NA
Whole numbers
4
87.5
9
N&A
2
MA2-8NA
Patterns and algebra
6
108.4
Recognise the number that does not fit a doubling pattern
10
N&A
2
MA2-7NA
Fractions and decimals
6
111.1
Recognise 5/6 shown as shaded segments of equal size
11
N&A
2
MA2-6NA
Multiplication and division
6
111.6
Choose the correct process (5 × 4) to solve a simple word problem
12
N&A
2
MA2-5NA
Addition and subtraction
7
121.9
Use coins to make up change from $20
13
N&A
2
MA2-6NA
Multiplication and division 1
7
123.1
Solve a word problem that includes a simple proportion (twice as many)
14
N&A
2
MA2-5NA
Addition and subtraction
8
125.2
Solve a problem where one person gives to another so that both have the
same amount
15
M&G
2
MA2-15MG
Two-dimensional space 1
4
86.0
Recognise the line of symmetry for a given shape
16
M&G
2
MA2-14MG
Three-dimensional space 2
4
86.6
Choose the 3D object that fits in a given hole
17
M&G
2
MA2-17MG
Position
4
93.9
Choose the location on a simple map grid
Continuum sub-strand
PATMaths
achievement level
Item difficulty
(patm)
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
6
Item descriptor
Find the missing number in a simple counting pattern
Choose the largest three-digit number
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
18
M&G
2
MA2-15MG
Two-dimensional space
6
109.9
Recognise a hexagon
19
M&G
2
MA2-15MG
Two-dimensional space 2
6
114.5
Rotate a 2D shape a quarter-turn anticlockwise
20
M&G
2
MA2-14MG
Three-dimensional space 1
8
126.4
Identify the features of 3D objects
21
M&G
2
MA2-11MG
Volume and capacity
5
98.8
Choose the correct unit to measure the contents of a jug
22
M&G
2
MA2-9MG
Length
5
97.0
Find the length of an object using a ruler marked in centimetres
23
M&G
2
MA2-13MG
Time
6
111.8
Match digital time to time shown on a clock face (4:40)
24
M&G
1
MA2-13MG
Time 1
6
113.3
Work out the day for a given date in the next month using a monthly
calendar
25
M&G
2
MA2-13MG
Time
6
114.1
Choose the clock face that shows the time now, given a later time
26
M&G
2
MA2-10MG
Area
7
120.3
Compare areas of compound shapes shown on a grid
27
S&P
2
MA2-18SP
Data 1
6
108.6
Read a simple table
28
S&P
2
MA2-18SP
Data 1
6
111.5
Choose the column graph that matches given pictures of amounts
29
S&P
2
MA2-18SP
Data 1
5
105.3
Find the difference between categories on a simple pictograph
30
S&P
2
MA2-18SP
Data 1
7
106.9
Choose the tally chart that matches a given column graph
31
S&P
1
MA1-17SP
Data
6
112.8
Choose the correct conclusion from information shown on a simple
pictograph
32
N&A
2
MA2-5NA
Addition and subtraction
5
98.2
Find the sum of two two-digit numbers
33
N&A
2
MA2-5NA
Addition and subtraction
5
98.5
Solve a simple word problem requiring addition
34
N&A
2
MA2-6NA
Multiplication and division
6
111.4
35
N&A
2
MA2-5NA
Addition and subtraction
5
99.5
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
7
Item descriptor
Find ten times a given number
Solve a simple word problem requiring subtraction
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Test 4 item descriptors and NSW numeracy continuum links
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
1
N&A
2
MA2-6NA
Multiplication and division
6
114.1
Find the cost of one item given the cost of six items
2
N&A
2
MA2-7NA
Fractions and decimals 1
5
118.0
Recognise the fraction left when one part of a whole is removed
3
N&A
2
MA2-8NA
Patterns and algebra
7
115.4
Recognise counting forwards by 100
4
N&A
2
MA2-6NA
Multiplication and division
7
117.9
Solve a two-step word problem involving money
5
N&A
1
MA1-4NA
Whole numbers
7
119.6
Put three-digit numbers in order
6
N&A
2
MA2-6NA
(MA2-5NA)
Multiplication and
division (also addition and
subtraction)
7
123.6
Work out change from $1 when three items are bought
7
N&A
2
MA2-8NA
Patterns and algebra
7
121.7
Continue a number pattern shown visually to find the next number
8
N&A
2
MA2-5NA
Addition and subtraction
8
129.7
Choose a simpler subtraction calculation that has the same answer as a
given subtraction
9
N&A
3
MA3-4NA
Whole numbers
8
131.3
Solve a multi-step problem requiring division
10
N&A
2
MA2-7NA
Fractions and decimals 2
8
129.1
Recognise the place value of hundredths (in 547.36)
11
M&G
2
MA2-17MG
Position
5
96.9
12
M&G
2
MA2-16MG
Angles 2
7
119.6
Choose the pictured angle that is more than 90 degrees but less than 180
degrees
13
M&G
2
MA2-17MG
Position 2
7
123.1
Use compass directions
14
M&G
2
MA2-14MG
Three-dimensional space 1
8
130.6
Find the number of faces, edges and vertices for a 3D object
15
M&G
3
MA3-15MG
Two-dimensional space 1
8
130.4
Recognise the enlargement (each side twice as long) of a given 2D shape
16
M&G
2
MA2-11MG
Volume and capacity 2
7
116.2
Read a scale value that is halfway between labelled values
17
M&G
2
MA2-10MG
Area 2
7
115.7
Work out the area of a folded strip in square units
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
8
Item descriptor
Choose the object that is at a given location on a simple map grid
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
18
M&G
1
MA1-13MG
Time 1
8
125.8
Work out the number of days between two dates in adjacent months
19
M&G
1
MA2-9MG
Length 1
8
128.8
Add two lengths given in different metric units
20
M&G
2
MA1-12MG
Mass 1
8
130.2
Recognise that fewer of the heaviest object are needed to reach a given total
mass
21
M&G
2
MA2-13MG
Time 2
8
132.4
Find the difference (in minutes) between two 12-hour times
22
S&P
2
MA2-18SP
Data 1
7
117.2
Use a given data table to find total number in several categories
23
S&P
1
MA1-17SP
Data 1
6
108.4
Find the score that appears most often in a list
24
S&P
1
MA1-17SP
Data 1
5
104.4
Find the number in a given category on a pictograph that uses part symbols
25
S&P
1
MA1-17SP
Data 1
7
121.0
Work out information from a pictograph that uses part symbols
26
S&P
2
MA2-18SP
Data 2
8
126.1
Choose the pie chart that shows given amounts
27
S&P
1
MA1-18SP
Chance 2
6
106.4
Choose the correct chance statement about a familiar event (dice)
28
S&P
1
MA1-18SP
Chance 2
6
107.4
Recognise an event that is certain
29
S&P
1
MA1-18SP
Chance 2
6
110.2
Use the language of chance (unlikely) to describe a simple event
30
S&P
2
MA2-19SP
Chance 2
5
104.0
Choose the category that is most likely to be chosen from a given box
31
S&P
2
MA2-19SP
Chance 2
6
108.2
Choose the everyday event that is most likely
32
N&A
2
MA2-5NA
Addition and subtraction
7
114.9
Find the sum of four numbers, some two-digit and some three-digit
numbers
33
N&A
2
MA2-8NA
Patterns and algebra
7
120.5
Find the missing number in a simple equation containing addition
34
N&A
3
MA2-6NA
Multiplication and division
7
121.4
Solve a word problem requiring multiplication (24 × 72) or estimation
35
N&A
2
MA2-8NA
Patterns and algebra
8
126.1
Choose the equation that is equivalent to a given equation
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
9
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Test 5 item descriptors and NSW numeracy continuum links
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
1
N&A
2
MA2-6NA
Multiplication and division
7
118.8
Solve a work problem requiring a multiplication factor (four times)
2
N&A
3
MA3-6NA
Multiplication and division 1
7
119.7
Apply knowledge of multiplication to work out the second step in a given
process
3
M&G
3
MA3-12MG
Mass
7
122.3
Read a scale where five subdivisions are not labelled
4
N&A
2
MA2-5NA
Addition and subtraction
7
121.5
Solve a multi-step word problem requiring addition and subtraction of twodigit numbers
5
N&A
2
MA2-8NA
Patterns and algebra 1
7
121.1
Continue a visual repeating pattern to find a later symbol
6
N&A
2
MA2-5NA
Addition and subtraction 2
7
123.6
Work out the largest number of items that can be bought with a given total
amount
7
N&A
2
MA2-8NA
Patterns and algebra 2
7
120.9
Use the two-step process shown on a number line to solve a simple
subtraction equation
8
N&A
2
MA2-6NA
Multiplication and division 2
7
121.9
Solve a word problem requiring division (96 ÷ 6)
9
N&A
3
MA3-7NA
Fractions and decimals 1
8
129.9
Find one quarter plus one quarter using formal fraction notation
10
N&A
2
MA2-6NA
Multiplication and division 2
7
122.8
Solve a word problem requiring multiplication (43 × 6)
11
N&A
3
MA3-7NA
Fractions and decimals 1
8
131.9
Put decimal fractions with different decimal places in order
12
M&G
2
MA2-17MG
Position 1
7
119.3
Follow directions using turn right, turn left on a simple street map
13
M&G
1
MA1-15MG
Two-dimensional space 1
7
119.4
Rotate a 2D shape a quarter-turn anticlockwise
14
M&G
2
MA2-15MG
Two-dimensional space 2
8
132.3
Recognise the reflection of a given drawing
15
M&G
2
MA2-17MG
Position 2
8
128.3
Follow east and west directions to find distance from a starting point
16
M&G
2
MA2-15MG
Two-dimensional space 2
8
130.2
Recognise the half-turn image of a 2D shape with asymmetric markings
17
M&G
2
MA2-13MG
Time 2
7
122.0
Find the time shown on a clock that loses time every hour
18
M&G
2
MA2-11MG
Volume and capacity 2
8
125.3
Read a scale with four markings between labelled markings
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
10
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
19
M&G
3
MA3-11MG
Volume and capacity 1
7
124.7
Choose the familiar container (cup) that has a given capacity (200mL)
20
M&G
1
MA1-13MG
Time 1
8
128.6
Use a monthly calendar to find the date of a given day in the next month
21
M&G
2
MA2-12MG
Mass 2
8
134.8
Solve a problem involving the difference of masses measured on a scale
22
S&P
2
MA2-18SP
Data 2
5
100.5
Read a simple table
23
S&P
2
MA2-18SP
Data 2
7
117.1
Find the total of two categories given in a table
24
S&P
2
MA2-18SP
Data 2
7
120.5
Read a pictograph that uses a symbol for multiple units and includes half
units
25
S&P
3
MA3-18SP
Data 1
8
125.8
Convert a value from a simple pie chart to a percentage
26
S&P
3
MA3-18SP
Data 1
8
130.4
Choose the best description of a pattern of data shown in a graph
27
S&P
1
MA1-18SP
Chance 2
6
111.0
Recognise an everyday event that is impossible
28
S&P
3
MA3-19SP
Chance 1
6
112.4
Match the 90 per cent chance to a position near one on a 0–1 scale
29
S&P
2
MA2-19SP
Chance 2
6
110.4
Choose the best description (good chance) for a given random selection
30
S&P
3
MA3-19SP
Chance 1
7
115.9
Find the probability of scoring a given number on a die
31
S&P
2
MA2-19SP
Chance 2
6
113.1
Recognise that the smallest category in a group has the smallest chance of
being selected
32
N&A
2
MA2-6NA
Multiplication and division 2
8
129.5
Recognise the relationship (four time larger) between two given division
equations
33
N&A
2
MA2-8NA
Patterns and algebra 2
8
128.8
Find the missing number in an addition number sentence (by subtraction or
by inspection)
34
N&A
4
MA4-4NA
Computation with integers
8
128.8
Choose the multiplication that is equal to a given expression containing
brackets
35
N&A
4
MA4-4NA
Computation with integers
8
129.0
Multiply a three-digit number by 200
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
11
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Test 6 item descriptors and NSW numeracy continuum links
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
1
N&A
3
MA3-4NA
Whole number 1
7
121.3
Recognise a seven-digit number given in words
2
N&A
3
MA3-6NA
Multiplication and division 2
7
123.5
Solve a two-step word problem involving multiplication
3
N&A
3
MA3-6NA
Multiplication and division 2
8
127.0
Solve a word problem involving sharing a total amount
4
N&A
3
MA3-4NA
Whole number 2
7
124.5
Recognise the position of a given negative number on a scale
5
N&A
3
MA3-4NA
Whole number 2
8
128.4
Solve a problem involving division with remainder
6
N&A
3
MA3-6NA
Multiplication and division 1
8
132.6
Recognise that multiplying a decimal fraction by 100 moves the decimal
point two places to the right
7
N&A
3
MA3-7NA
Fractions and decimals 2
8
130.2
Solve a word problem involving fractions of a given total
8
N&A
4
MA4-5NA
Fractions, decimals and
percentages
9
135.4
Locate a fraction on a number line
9
N&A
3
MA3-8NA
Patterns and algebra 2
9
135.5
Extend a number pattern shown in diagrams to describe a later diagram
10
N&A
3
MA3-7NA
Fractions and decimals 2
9
135.7
Estimate a fraction calculation by replacing the fraction with a simpler nearequivalent
11
N&A
2
MA2-7NA
Fractions and decimals 1
9
142.6
Work out the fraction of a square made by repeated folding of the square
12
N&A
4
MA4-5NA
Fractions, decimals and
percentages
9
141.4
Round a three-place decimal to one decimal place where rounding up the
units place is required
13
N&A
2
MA2-7NA
Fractions and decimals 2
9
142.5
Recognise that showing one-third shaded requires segments equal in area
14
M&G
3
MA3-15MG
Two-dimensional space 1
7
122.0
Recognise the reflection of simple shape (square) in a diagonal mirror line
15
M&G
3
MA3-15MG
Two-dimensional space 1
8
126.2
Recognise the result of pieces cut from a folded square of paper
16
M&G
3
MA3-14MG
Three-dimensional space 1
8
125.4
Recognise the box that can be made using a given net
17
N&A
3
MA3-8NA
Patterns and algebra 2
8
125.5
Find the coordinates of a point
18
M&G
3
MA3-16MG
Angles 2
9
137.8
Find an angle at a point
19
M&G
3
MA3-15MG
Two-dimensional space 1
9
135.1
Recognise the rotation (fraction of a full turn) that leaves a given shape
looking the same
20
M&G
2
MA2-13MG
Time 2
7
121.9
Convert time in fractions of an hour to minutes
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
12
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
21
M&G
3
MA3-9MG
Length 1
8
126.7
Compare lengths given in different metric units
22
M&G
2
MA2-13MG
Time 1
7
122.6
Read the time on a clock face to the nearest minute
23
M&G
3
MA3-10MG
Area 1
8
125.6
Find the length of a rectangle given its area and the other side length
24
M&G
2
MA2-9MG
Length 2
8
133.7
Convert a length in centimetres to decimal metres
25
M&G
3
MA3-12MG
Mass 1
9
138.3
Solve a simple problem requiring the conversion of metric units (kilograms
to grams)
26
M&G
3
MA3-9MG /
MA3-10MG
Length 1 / Area 1
9
138.9
Find the area of a rectangle given its perimeter and one side length
27
S&P
3
MA3-18SP
Data 1
7
119.8
Recognise the factors that ensure a fair sample is selected
28
S&P
3
MA3-18SP
Data 2
7
121.9
Recognise the column graph that shows the same information as a given pie
chart
29
S&P
3
MA3-18SP
Data 1
8
128.7
Find the total for a range of categories given in a table
30
S&P
3
MA3-18SP
Data 1
9
138.4
Interpret information from a line graph
31
S&P
3
MA3-18SP
Data 1
8
131.7
Interpret information given in a column graph
32
S&P
3
MA3-19SP
Chance 1
6
112.8
Recognise the chance of a given event expressed as a fraction
33
S&P
3
MA3-19SP
Chance 1
6
111.7
Choose the correct statement about possible outcomes from spinning a given
spinner
34
S&P
3
MA3-19SP
Chance 1
7
117.3
Recognise the chance of a given event expressed as a fraction
35
S&P
3
MA3-19SP
Chance 1
7
120.1
Match the very likely chance to a position near one on a 0–1 scale
36
S&P
3
MA3-19SP
Chance 2
8
126.9
Find the probability of a given event and express it as a decimal
37
N&A
3
MA3-6NA
Multiplication and division 1
7
124.1
Divide a four-digit number by a one-digit number
38
N&A
3
MA3-6NA
Multiplication and division 1
8
130.5
Divide a three-digit number by a one-digit number with the remainder as a
fraction
39
N&A
3
MA3-7NA
Fractions and decimals 2
8
133.8
Subtract a three-place decimal from a whole number
40
N&A
3
MA3-8NA
Patterns and algebra 1
9
140.0
Compare simple equations having +, −, × or ÷ to find the equation with the
largest missing number
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
13
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Test 7 item descriptors and NSW numeracy continuum links
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
1
N&A
3
MA3-7NA
Fractions and decimals 2
8
127.4
Put one-place and two-place decimals in order
2
N&A
4
MA4-5NA
Fractions, decimals and
percentages
8
130.5
Calculate 15 per cent of a given number
3
N&A
4
MA4-5NA
Fractions, decimals and
percentages
8
132.5
Solve a word problem involving fractions of part of a whole cake
4
N&A
2
MA2-8NA
Patterns and algebra 1
9
135.7
Extend a number pattern shown visually to find a later value
5
N&A
3
MA3-7NA
Fractions and decimals 1
9
135.4
Recognise a small decimal fraction given in words
6
N&A
4
MA4-5NA
Fractions, decimals and
percentages
9
138.2
Express part of a total as a percentage
7
N&A
4
MA4-4NA
Computation with integers
9
137.8
Recognise the equivalent expression obtained from the distributive law for
multiplication
8
N&A
3
MA3-6NA
Multiplication and division 1
9
138.5
Solve a multi-step problem involving ÷ as the inverse of ×
9
N&A
4
MA4-7NA
Ratio and rates
8
127.7
Recognise the meaning of a horizontal segment in a distance-time graph
10
N&A
4
MA4-7NA
Ratio and rates
9
136.4
Read information from a distance-time graph
11
N&A
4
MA4-8NA
Algebraic techniques 1
8
133.7
Match a number sentence to a two-step statement in words
12
N&A
4
MA4-8NA
Algebraic techniques 1
8
134.0
Use a given relationship between two pronumerals to find a new
relationship
13
N&A
3
MA3-7NA
Fractions and decimals 2
9
139.4
Match a formula for cost to a statement in words
14
M&G
3
MA3-14MG
Three-dimensional space 1
6
114.9
Recognise the back view of a 3D object (stack of blocks)
15
M&G
3
MA3-15MG
Two-dimensional space 1
7
119.7
Recognise the description of the mirror reflection of a 2D shape
16
M&G
3
MA3-15MG
Two-dimensional space 2
7
120.2
Compare the lines of symmetry for given letters of the alphabet
17
M&G
3
MA3-14MG
Three-dimensional space 1
8
129.1
Choose the net that cannot form a given open box
18
M&G
4
MA4-17MG
Properties of geometrical
figures 1
8
131.3
Recognise the description of a 2D shape that cannot be drawn
19
M&G
3
MA3-15MG
Two-dimensional space 2
8
135.0
Recognise the rotation (in degrees) that leaves a given shape looking the
same
20
M&G
3
MA3-12MG
Mass 2
6
115.3
Find the difference of two masses involving change of units
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
14
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
21
M&G
2
MA2-13MG
Time 1
7
123.6
Read the time on a clock face to the nearest minute
22
M&G
4
MA4-14MG
Volume
7
123.9
Compare volumes of 3D objects where the objects involve half units
23
M&G
4
MA4-12MG
Length
8
130.3
Find the perimeter of a hexagon where the length of one side is given
indirectly
24
M&G
4
MA4-13MG
Area
8
130.4
Find the area of a compound shape made using rectangles
25
M&G
2
MA2-11MG
Volume and capacity 1
8
130.0
Recognise that the same volume means taking up the same amount of
space
26
M&G
3
MA3-12MG
Mass
10
146.5
Recognise the effect on its volume and mass of doubling the side lengths of
a cube
27
S&P
3
MA3-18SP
Data 1 and 2
7
120.0
Interpret a two-category column graph
28
S&P
4
MA4-20SP
Single variable data analysis
8
133.0
Find the mean of a small set of numbers
29
S&P
4
MA4-20SP
Single variable data analysis
8
129.3
Calculate a total value given the mean and the number of scores
30
S&P
3
MA3-18SP
Data 1
9
138.0
Find the total of a given range of categories in a frequency table
31
S&P
4
MA4-19SP
Data collection and
representation
10
147.0
Choose the best description of a pattern of data shown in a graph (dot plot)
32
S&P
4
MA4-21SP
Probability 1
6
112.7
Find the probability of a given random selection (one ball from ten in a box)
33
S&P
4
MA4-21SP
Probability 1
7
116.4
Put the categories on a given spinner in order of likelihood
34
S&P
2
MA2-19SP
Chance 2
7
121.7
Understand that the outcome of an independent event does not depend on
previous outcomes
35
S&P
3
MA3-19SP
Chance 2
8
126.0
Convert an area representation of parts of a whole to a probability
36
S&P
4
MA4-21SP
Probability 1
8
127.2
Work out the number of attempts needed to ensure a given chance of
success
37
N&A
3
MA3-7NA
Fractions and decimals 2
7
121.3
Add three one-place, two-place and three-place decimals together
38
N&A
4
MA4-9NA
Indices
8
126.1
Recognise the square root of a number from given information
39
N&A
4
MA4-4NA
Computation with integers
8
129.8
Add two negative numbers
40
N&A
4
MA4-9NA
Indices
8
132.3
Find the value of a given number raised to the power of three
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
15
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Test 8 item descriptors and NSW numeracy continuum links
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
1
N&A
4
MA4-4NA
Computation with integers
8
131.0
Subtract and multiply integers
2
N&A
3
MA3-6NA
Multiplication and division 1
8
130.9
Recognise an estimation method for the multiplication of given two-digit
numbers
3
N&A
3
MA3-7NA
Fractions and decimals 1
8
132.3
Recognise the true sentence involving multiplication of fractions with
whole numbers
4
N&A
4
MA4-6NA
Financial mathematics
9
140.7
Express a given price reduction as a percentage
5
N&A
4
MA4-5NA
Fractions, decimals and
percentages
9
138.1
Choose the correct position for the square root of two on a number line
6
N&A
3
MA3-6NA
Multiplication and division 1
9
139.3
Solve a word problem requiring division where the context requires the
answer to be rounded up
7
N&A
3
MA3-7NA
Fractions and decimals 1
9
140.6
Choose the decimal fraction that estimates the fractional part of two,
shown visually
8
N&A
4
MA4-6NA
Financial mathematics
10
145.3
Find a profit as a percentage of the cost price
9
N&A
4
MA4-5NA
Fractions, decimals and
percentages
10
147.7
Recognise the multiplication process equivalent to a 50 per cent increase
10
N&A
4
MA4-7NA
Ratio and rates
10
153.6
Calculate distance travelled given speed and time taken where conversion
of time units is required
11
N&A
4
MA4-10NA
Equations
8
132.1
Solve a linear equation where two steps are required
12
N&A
3
MA3-8NA
Patterns and algebra 1
8
133.6
Find the sixth number in a given Fibonacci sequence
13
N&A
3
MA3-8NA
Patterns and algebra 2
9
136.7
Extend a number pattern shown visually to find a later number
14
N&A
4
MA4-10NA
Equations
9
136.9
Recognise the equation that matches a description in words
15
N&A
4
MA4-8NA
Algebraic techniques
10
145.3
Expand a simple algebraic expression
16
M&G
4
MA4-14MG
Volume
7
118.8
Recognise the number of cubes in each column of a stack of cubes
17
M&G
3
MA3-14MG
Three-dimensional space 1
8
126.7
Recognise the net of a given box with labelled sides
18
M&G
3
MA3-15MG
Two-dimensional space 1
8
128.4
Recognise that angles are unchanged by enlargement
19
M&G
3
MA3-16MG
Angles 1 and 2
9
140.6
Work out the angle at a point in a given tessellation
20
M&G
4
MA4-17MG
Properties of geometrical
figures 2
9
141.4
Choose a correct statement about given congruent triangles
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
16
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
Item descriptor
21
M&G
5.1
MA5.1-11MG
Properties of geometrical
figures
10
146.3
Choose the correct statement about the effect of a given enlargement on the
area of a square
22
M&G
4
MA4-17MG
Properties of geometrical
figures 2
8
126.5
Work out the volume of a stack of blocks that includes half units
23
M&G
3
MA3-13MG
Time 2
8
132.2
Work out waiting time using a train timetable
24
M&G
3
MA3-13MG
Time 3
7
123.7
Work out arrival time using a train timetable
25
M&G
3
MA3-13MG
Time 4
8
131.1
Work out travel time using a train timetable
26
M&G
4
MA4-13MG
Area
9
136.7
Use knowledge of area of 2D shapes to compare the areas of two triangles
inside rectangles
27
M&G
4
MA4-12MG
Length
9
139.0
Work out the perimeter of a compound shape from information about the
area of its components
28
M&G
4
MA4-13MG
Area
9
141.6
Calculate the area of a kite
29
S&P
4
MA4-19SP
Data collection and
representation
8
131.7
Recognise the factors that ensure a representative sample is selected
30
S&P
3
MA3-18SP
Data 2
8
131.6
Convert information from a pie chart to a percentage
31
S&P
4
MA4-20SP
Single variable data analysis
8
134.0
Calculate the change in the mean when an outlier is excluded
32
S&P
4
MA4-20SP
Single variable data analysis
8
131.5
Find the mean number of letters in the words of a given sentence
33
S&P
3
MA3-18SP
Data 2
8
132.6
Work out the fraction of a category from data in a two-way table
34
S&P
4
MA4-20SP
Single variable data analysis
9
139.3
Work out the number in a small group given the mean and the other
numbers
35
S&P
3
MA3-19SP
Chance 2
7
115.2
Find the probability of scoring a given number on a spinner
36
S&P
4
MA4-21SP
Probability 1
8
126.2
Work out the number of attempts needed to ensure a given chance of
success
37
S&P
4
MA4-21SP
Probability 1
7
122.0
Find the probability of a given random selection (an odd number from a
given set of numbers)
38
S&P
4
MA4-21SP
Probability 1
7
124.3
Choose the spinner that gives the greatest chance of a given event (pointing
to white)
39
S&P
3
MA3-19SP
Chance 2
7
124.5
Find the probability of a given event and express as a decimal
40
S&P
4
MA4-21SP
Probability 2
9
142.6
Obtain probabilities from a two-category Venn diagram
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
17
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Test 9 item descriptors and NSW numeracy continuum links
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
1
N&A
4
MA4-5NA
Fractions, decimals and
percentages
8
128.5
Choose the number closest to 1/2
2
N&A
4
MA4-5NA
Fractions, decimals and
percentages
9
135.2
Recognise the correct reason that one given fraction is smaller
than another
3
N&A
4
MA4-5NA
Fractions, decimals and
percentages
9
138.5
Solve a word problem involving fractions of a group
4
N&A
4
MA4-9NA
Indices
8
126.0
Choose the expression equal to a given number in exponent form
5
N&A
3
MA3-7NA
Fractions and decimals 2
10
148.3
Find the number halfway between two small decimal fractions
6
N&A
4
MA4-9NA
Indices
10
151.3
Evaluate a simple algebraic expression that contains the zero
index
7
N&A
3, 4
MA3-8NA /
MA4-9NA
Patterns and algebra 2 /
Indices
8
126.1
Extend a number pattern involving square numbers to find a
later number
8
N&A
4
MA4-10NA
Equations
9
135.1
Solve a linear equation where the solution is a small fraction
9
N&A
5.2
MA5.2-8NA
Equations
9
136.5
Solve a word problem involving two unknown prices
10
N&A
4
MA4-10NA
Equations
9
138.0
Choose the number sentence that matches a given situation
described in words
11
N&A
4
MA4-8NA
Algebraic techniques 2
9
137.8
Choose the table of values that matches a given linear inequation
12
N&A
5.2
MA5.2-9NA
Linear relationships
9
138.1
Recognise the correct equation for a given line graph
13
N&A
5.2
MA5.2-6NA
Algebraic techniques
9
143.8
Recognise the expanded form of the product of two linear
expressions
14
N&A
5.2
MA5.2-7NA
Indices
9
141.0
Recognise the correct equation for a given line graph
15
N&A
5.1
MA5.1-6NA
Linear relationships
10
150.9
Find the midpoint of a line segment shown on a grid
16
N&A
5.2 (as an
expansion)
5.3 (as
factorisation)
MA5.2-6NA or
MA5.3-5NA
Algebraic techniques
9
136.2
Factorise an algebraic expression by finding a binomial factor
17
M&G
3
MA3-16MG
Angles 1
7
122.9
Recognise two angles of equal size shown on a protractor
18
M&G
3
MA3-9MG
Length 1
7
122.2
Use the scale on a map grid to find the actual distance between
two locations
19
M&G
4
MA4-17MG
Properties of geometrical
figures 1
8
133.2
Find the size of an angle using angle properties for rectangles
and triangles
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
18
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
20
M&G
3
MA3-14MG
Three-dimensional space 1
8
129.3
Recognise the 3D object described from the given number of
faces, vertices and edges
21
N&A
4
MA4-11NA
Linear relationships
8
127.7
Find the circular coordinates of a point from given information
22
M&G
5.1
MA5.1-10MG
Right-angled triangles
(trigonometry)
9
140.9
Use trigonometry to find an opposite side
23
M&G
4
MA4-16MG
Right-angled triangles
(Pythagoras)
9
143.6
Use Pythagoras’ theorem to find the length of the hypotenuse of
a given triangle
24
M&G
3
MA3-15MG
Two-dimensional space 1
9
138.6
Choose the square that is enlarged by a scale factor of two from
the original square
25
M&G
4
MA4-14MG
Volume
8
130.4
Find the volume of a cuboid in context
26
M&G
4
MA4-14MG
Volume
9
136.6
Find the height of a box from information about its sides and
volume
27
M&G
3
MA3-9MG
Length 2
7
123.8
Find the perimeter of a rectangle using informal units of length
(paces)
28
M&G
4
MA4-13MG
Area
9
135.4
Find the area of a rectangle given one side and perimeter
29
M&G
4
MA4-13MG
Area
9
136.2
Find the ratio of the areas of a given square and a given triangle
30
M&G
4
MA4-12MG
Length
10
149.8
Decide which are correct statements about the circumference
and diameter of any circle
31
S&P
4
MA4-20SP
Single variable data analysis
8
134.5
Work out the number required to result in a given average
32
S&P
4
MA4-20SP
Single variable data analysis
7
120.2
Find the modal group from the graph of a set of grouped data
33
S&P
4
MA4-20SP
Single variable data analysis
7
119.2
Correctly interpret the data shown on the graph of a set of
grouped data
34
S&P
4
MA4-20SP
Single variable data analysis
9
136.6
Choose the correct statement about the data shown on a graph of
a set of grouped data
35
S&P
5.1
MA5.1-12SP
Single variable data analysis
9
139.4
Construct a back-to-back stem-and-leaf plot from given data
36
S&P
4
MA4-21SP
Probability 1
9
137.4
Choose the event that has a probability closest to one (1)
37
S&P
5.1
MA5.1-13SP
Probability
9
143.0
Work out the probability of a random selection from a given set
of subcategories
38
S&P
5.1
MA5.1-13SP
Probability
9
135.9
Obtain the number in a subset from a three-category Venn
diagram
39
S&P
5.1
MA5.1-13SP
Probability
10
150.7
Obtain relative frequencies from a three-category Venn diagram
40
S&P
5.2
MA5.2-17SP
Probability
9
140.6
Find a probability on a tree diagram
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
19
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Test 10 item descriptors and NSW numeracy continuum links
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
1
N&A
4
MA4-5NA
Fractions, decimals and
percentages
8
126.2
Express the shaded segments of a 2D shape as a percentage
2
N&A
4
MA4-5NA
Fractions, decimals and
percentages
8
130.1
Calculate the sale price using a 10 per cent reduction
3
N&A
4
MA4-7NA
Ratio and rates
8
131.9
Calculate the average rate from a given change over a period of time
4
N&A
3
MA3-7NA
Fractions, decimals 2
9
136.0
Work out the decimal fraction halfway between two decimals
5
N&A
4
MA4-5NA
Fractions, decimals and
percentages
8
126.6
Round a three-place decimal to one decimal place
6
N&A
4
MA4-5NA
Fractions, decimals and
percentages
10
146.5
Calculate the original price given the percentage reduction (25 per cent)
and the reduced price
7
N&A
5.1
MA5.1-5NA
Indices
9
135.4
Write a whole number with a negative index as a fraction
8
N&A
4
MA4-10NA
Equations
8
130.6
Correctly describe what a given symbol stands for in a complex problem
9
N&A
4
MA4-10NA
Equations
9
141.9
Choose the best way to solve a linear equation where two steps are
required
10
N&A
4
MA4-8NA
Algebraic techniques 2
10
148.3
Expand brackets to find a equivalent expression
11
N&A
4
MA4-7NA
Ratio and rates
9
136.3
Choose the distance–time graph (distance from starting point) that
matches the given description of a journey
12
N&A
5.1
MA5.1-4NA
Financial mathematics
10
147.4
Calculate simple interest
13
N&A
5.2/5.3
MA5.2-6NA /
MA5.3-5NA
Algebraic techniques
10
152.2
Expand a perfect square
14
N&A
4
MA4-8NA
Algebraic techniques 2
9
141.0
Find the rule for a quadratic pattern shown visually
15
N&A
5.2
MA5.2-6NA
Algebraic techniques
10
151.6
Subtract two algebraic fractions and simplify the answer
16
N&A
5.2
MA5.2-10NA
Non-linear relationships
9
143.9
Recognise the equation for a given graph of a non-linear function
17
N&A
5.2
MA5.2-6NA
Algebraic techniques
9
137.1
Use the index laws to simplify an algebraic fraction
18
M&G
3
MA3-17MG
Angles 2
8
126.6
Work out the number of faces, visible and non visible, on a 3D object
(prism)
19
M&G
4
MA4-17MG
Properties of geometrical
figures 1
9
142.0
Choose the triangular prism that has markings matching those on a given
net
20
M&G
3
MA3-14MG
Three-dimensional space 1
9
140.4
Recognise the net of a cube with patterns on its faces
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
20
Item descriptor
PATMaths Fourth Edition alignment to the NSW numeracy continuum
Item
Strand
Stage
K–10 syllabus
outcome
PATMaths
achievement level
Item difficulty
(patm)
21
M&G
5.1
MA5.1-11MG
Properties of geometrical
figures
10
147.2
Select the shape that is enlarged by a scale factor of two from the original
shape (rectangle)
22
M&G
5.1
MA5.1-11MG
Properties of geometrical
figures
9
144.0
Find the scale factor for a given size reduction
23
M&G
5.2
MA5.2-13MG
Right-angled triangles
(trigonometry)
10
158.1
Use trigonometry to find the bearing of a point from another point
24
M&G
4
MA4-16MG
Right-angled triangles
(Pythagoras)
8
134.5
Use Pythagoras’ theorem to find the length of a short side of a triangle
25
M&G
3
MA3-11MG
Volume and capacity 2
8
128.4
Calculate the volume of given cuboids to find the greatest volume
26
M&G
4
MA4-14MG
Volume
9
140.9
Calculate the area of a simple compound shape
27
N&A
4
MA4-7NA
Ratio and rates
10
147.8
Find the time taken to fill a swimming pool given the filling rate
28
M&G
4
MA-13MG
Area
10
148.7
Recognise the effect on its volume and mass of doubling the side lengths
of a cube
29
M&G
4
MA-13MG
Area
10
152.5
Estimate the area of circular object (coin) given its diameter
30
M&G
4
MA4-14MG
Volume
10
147.8
Find the volume of a triangular prism
31
S&P
5.1
MA5.1-13SP
Probability
9
141.8
Interpret information from a line graph
32
S&P
4
MA4-20SP
Single variable data analysis
8
130.5
Recognise the factors that ensure a representative sample is selected
33
S&P
3
MA3-18SP
Data 2
9
137.6
Read information from a segmented column graph
34
S&P
4
MA4-20SP
Single variable data analysis
9
139.7
Calculate a score given the mean and the other scores
35
S&P
5.2
MA5.2-15SP
Single variable data analysis
9
139.7
Choose the correct statement comparing two box plots
36
S&P
5.2
MA5.2-17SP
Probability
8
126.8
Recognise the situation that gives the greater probability of a given
selection
37
S&P
5.2
MA5.2-17SP
Probability
8
126.6
Work out the most likely result in a game where two coins are tossed
38
S&P
4
MA4-21SP
Probability 1
8
127.6
Compare different proportions to work out the situation that gives the best
chance of success
39
S&P
5.1
MA5.1-13SP
Probability
9
144.1
Calculate a probability as a fraction of a given category from a
two-way table
40
S&P
2
MA2-19SP
Chance 2
8
126.9
Recognise that the probability of a familiar event does not depend on
previous outcomes
Continuum sub-strand
Key – N&A: Number and Algebra, M&G: Measurement and Geometry, S&P: Statistics and Probability
Copyright © 2015 Australian Council for Educational Research
21
Item descriptor
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