PATMaths Fourth Edition alignment to the NSW mathematics syllabus

Transcription

1 Fourth Edition alignment to the NSW mathematics syllabus Australian Council for Educational Research

2 Fourth Edition alignment to the NSW mathematics syllabus Test 1 item descriptors and NSW mathematics syllabus links 1 N&A 1 MA1-7NA Fractions and decimals Recognise a half of a group 2 N&A 1 MA1-4NA Whole numbers Recognise the place values of a two-digit number 3 N&A 1 MA1-5NA Addition and subtraction Find the missing number in a simple addition 4 N&A 1 MA1-4NA Whole numbers Put one-digit and two-digit numbers in order 5 N&A 1 MA1-4NA Whole numbers Recognise the coins that give a small total amount of money ($1) 6 N&A 1 MA1-4NA Whole numbers Recognise the number that lies between two two-digit numbers 7 N&A ES1 MAe-8NA Patterns and algebra Recognise counting by fours with two-digit numbers 8 N&A ES1 Mae-5NA Whole numbers Count by naming numbers in sequence 9 N&A 1 MA1-4NA Whole numbers Find the fourth number in sequence 10 N&A 1 MA1-4NA Whole numbers Identify and order representations of numbers 11 N&A ES1 MAe-8NA Patterns and algebra Locate an object in given groupings 12 N&A 1 MA1-7NA Fractions and decimals Calculate half of a small even number 13 N&A 1 MA1-5NA Addition and subtraction Solve a simple word problem by subtracting two-digit numbers 14 N&A 1 MA1-5NA Addition and subtraction Solve a simple subtraction problem 15 N&A 1 MA1-4NA Whole numbers Interpret a given representation of numbers 16 M&G ES1 MAe-15MG Two-dimensional space Recognise a triangle from a description of its sides and corners 17 M&G 1 MA-14MG Three-dimensional space Recognise the 3D object that looks like a cylinder 18 M&G ES1 MAe-15MG Two-dimensional space Recognise a square among other 2D shapes 2

3 Fourth Edition alignment to the NSW mathematics syllabus 19 M&G 1 MA1-14MG Three-dimensional space Recognise a sphere among other 3D objects 20 M&G 1 MA1-16MG Position Follow a path using left turn, right turn 21 M&G 1 MA1-13MG Time Read a digital clock 22 M&G 1 MA1-13MG Time Use a calendar to read a day of the week for a given date 23 M&G 1 MA1-13MG Time Read time on a clock face to the half hour 24 M&G 1 MA1-10MG Area Choose the shape that covers the fewest grid squares 25 M&G 1 MA1-13MG Time Describe duration using hours 26 S&P 1 MA1-17SP Data Understand one-to-one correspondence when reading displays 27 S&P 1 MA1-17SP Data Find the item named most often in a given list 28 S&P 1 MA1-17SP Data Use a simple data display to find the number of items in a category 29 S&P 1 MA1-17SP Data Read a pictograph where the symbol stands for one unit 30 S&P 2 MA2-18SP Data Describe the best question to ask for a simple survey 3

4 Fourth Edition alignment to the NSW mathematics syllabus Test 2 item descriptors and NSW mathematics syllabus links 1 N&A 1 MA1-5NA Addition and subtraction Find the missing number in a subtraction that gives zero 2 N&A 2 MA2-5NA Addition and subtraction Use given symbols for hundreds, tens and ones to work out a total 3 N&A 1 MA1-7NA Fractions and decimals Recognise that half is doubled to make a whole 4 N&A 2 MA2-7NA Fractions and decimals Recognise the point on a number line that shows the smallest fraction 5 N&A 2 MA2-8NA Patterns and algebra Solve an addition equation with two-digit numbers (using subtraction or by inspection) 6 N&A 1 MA1-5NA Addition and subtraction Work out a simple subtraction problem (95 72) 7 N&A 1 MA1-7NA Fractions and decimals Work out the cost of half a given quantity 8 N&A 1 MA1-6NA Multiplication and division Recognise the calculation that gives the correct answer to a simple problem 9 N&A 1 MA1-4NA Whole number Recognise the number of 10-cent coins needed to make a small total amount 10 N&A 1 MA1-5NA Addition and subtraction Solve a simple problem requiring addition of two two-digit numbers 11 N&A 2 MA2-6NA Multiplication and division Divide a multiple of ten by ten 12 N&A 1 MA1-8NA Patterns and algebra Find the missing number in a counting pattern 13 N&A 1 MA1-4NA Whole numbers Put three-digit numbers in order 14 N&A 2 MA2-5NA Addition and subtraction Choose the correct operation to find the difference between two numbers in context 15 N&A 1 MA1-8NA Patterns and algebra Find the next term in a pattern shown visually 16 M&G 2 MA2-15MG Two-dimensional space Recognise a square from a description of its sides and corners 17 M&G 3 MA3-14MG Three-dimensional space Choose the 3D object that fits in a given hole 4

5 Fourth Edition alignment to the NSW mathematics syllabus 18 M&G 3 MA3-14MG Three-dimensional space Construct arrangements of objects from instructions using positional language 19 M&G 2 MA2-15MG Two-dimensional space Choose the 2D shape that combines with a given shape to make a square 20 M&G 1 MA1-15MG Two-dimensional space Select the shape with curved sides only 21 M&G 1 MA1-11MG Volume and capacity Recognise the cuboid with the smallest capacity (holds the least soil) 22 M&G 1 MA1-13MG Time Work out the date one week before a given date on a monthly calendar 23 M&G 1 MA1-13MG Time Find the date for a given day on a monthly calendar 24 M&G 1 MA1-13MG Time Choose the clock face time that matches a given digital time (9:45) 25 M&G 1 MA1-13MG Time Solve a simple word problem involving time difference 26 S&P 1 MA1-17SP Data Find a total from a pictograph where the symbol stands for one unit 27 S&P 1 MA1-17SP Data Choose a category in a pictograph from given information 28 S&P 2 MA2-18SP Data Compare two values from a column graph 29 S&P 2 MA2-18SP Data Read a simple column graph 30 S&P 1 MA1-17SP Data Identify the category tallies that match a given set of data 5

6 Fourth Edition alignment to the NSW mathematics syllabus Test 3 item descriptors and NSW mathematics syllabus links 1 N&A 1 MA2-8NA Patterns and algebra Find the missing number in a simple counting pattern 2 N&A 2 MA2-4NA Whole numbers 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 Recognise 4/5 shown as four selected from a group of five 4 N&A 2 MA2-6NA Multiplication and division Match a number sentence with x to a simple story 5 N&A 2 MA2-5NA Addition and subtraction Recognise the set of coins that shows change from $2 6 N&A 2 MA2-7NA Fractions and decimals Choose the fraction notation that shows shaded parts of a whole 7 N&A 2 MA2-6NA Multiplication and division Choose the correct description of a sharing (division) process 8 N&A 2 MA2-4NA Whole numbers Choose the largest three-digit number 9 N&A 2 MA2-8NA Patterns and algebra Recognise the number that does not fit a doubling pattern 10 N&A 2 MA2-7NA Fractions and decimals Recognise 5/6 shown as shaded segments of equal size 11 N&A 2 MA2-6NA Multiplication and division Choose the correct process (5 4) to solve a simple word problem 12 N&A 2 MA2-5NA Addition and subtraction Use coins to make up change from $20 13 N&A 2 MA2-6NA Multiplication and division Solve a word problem that includes a simple proportion (twice as many) 14 N&A 2 MA2-5NA Addition and subtraction 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 Recognise the line of symmetry for a given shape 16 M&G 2 MA2-14MG Three-dimensional space Choose the 3D object that fits in a given hole 17 M&G 2 MA2-17MG Position Choose the location on a simple map grid 6

7 Fourth Edition alignment to the NSW mathematics syllabus 18 M&G 2 MA2-15MG Two-dimensional space Recognise a hexagon 19 M&G 2 MA2-15MG Two-dimensional space Rotate a 2D shape a quarter-turn anticlockwise 20 M&G 2 MA2-14MG Three-dimensional space Identify the features of 3D objects 21 M&G 2 MA2-11MG Volume and capacity Choose the correct unit to measure the contents of a jug 22 M&G 2 MA2-9MG Length Find the length of an object using a ruler marked in centimetres 23 M&G 2 MA2-13MG Time Match digital time to time shown on a clock face (4:40) 24 M&G 1 MA2-13MG Time Work out the day for a given date in the next month using a monthly calendar 25 M&G 2 MA2-13MG Time Choose the clock face that shows the time now, given a later time 26 M&G 2 MA2-10MG Area Compare areas of compound shapes shown on a grid 27 S&P 2 MA2-18SP Data Read a simple table 28 S&P 2 MA2-18SP Data Choose the column graph that matches given pictures of amounts 29 S&P 2 MA2-18SP Data Find the difference between categories on a simple pictograph 30 S&P 2 MA2-18SP Data Choose the tally chart that matches a given column graph 31 S&P 1 MA1-17SP Data Choose the correct conclusion from information shown on a simple pictograph 32 N&A 2 MA2-5NA Addition and subtraction Find the sum of two two-digit numbers 33 N&A 2 MA2-5NA Addition and subtraction Solve a simple word problem requiring addition 34 N&A 2 MA2-6NA Multiplication and division Find ten times a given number 35 N&A 2 MA2-5NA Addition and subtraction Solve a simple word problem requiring subtraction 7

8 Fourth Edition alignment to the NSW mathematics syllabus Test 4 item descriptors and NSW mathematics syllabus links 1 N&A 2 MA2-6NA Multiplication and division Find the cost of one item given the cost of six items 2 N&A 2 MA2-7NA Fractions and decimals Recognise the fraction left when one part of a whole is removed 3 N&A 2 MA2-8NA Patterns and algebra Recognise counting forwards by N&A 2 MA2-6NA Multiplication and division Solve a two-step word problem involving money 5 N&A 1 MA1-4NA Whole numbers Put three-digit numbers in order 6 N&A 2 MA2-6NA (MA2-5NA) Multiplication and division (also addition and subtraction) Work out change from $1 when three items are bought 7 N&A 2 MA2-8NA Patterns and algebra Continue a number pattern shown visually to find the next number 8 N&A 2 MA2-5NA Addition and subtraction Choose a simpler subtraction calculation that has the same answer as a given subtraction 9 N&A 3 MA3-4NA Whole numbers Solve a multi-step problem requiring division 10 N&A 2 MA2-7NA Fractions and decimals Recognise the place value of hundredths (in ) 11 M&G 2 MA2-17MG Position Choose the object that is at a given location on a simple map grid 12 M&G 2 MA2-16MG Angles Choose the pictured angle that is more than 90 degrees but less than 180 degrees 13 M&G 2 MA2-17MG Position Use compass directions 14 M&G 2 MA2-14MG Three-dimensional space Find the number of faces, edges and vertices for a 3D object 15 M&G 3 MA3-15MG Two-dimensional space Recognise the enlargement (each side twice as long) of a given 2D shape 16 M&G 2 MA2-11MG Volume and capacity Read a scale value that is halfway between labelled values 17 M&G 2 MA2-10MG Area Work out the area of a folded strip in square units 8

9 Fourth Edition alignment to the NSW mathematics syllabus 18 M&G 1 MA1-13MG Time Work out the number of days between two dates in adjacent months 19 M&G 1 MA2-9MG Length Add two lengths given in different metric units 20 M&G 2 MA1-12MG Mass Recognise that fewer of the heaviest object are needed to reach a given total mass 21 M&G 2 MA2-13MG Time Find the difference (in minutes) between two 12-hour times 22 S&P 2 MA2-18SP Data Use a given data table to find total number in several categories 23 S&P 1 MA1-17SP Data Find the score that appears most often in a list 24 S&P 1 MA1-17SP Data Find the number in a given category on a pictograph that uses part symbols 25 S&P 1 MA1-17SP Data Work out information from a pictograph that uses part symbols 26 S&P 2 MA2-18SP Data Choose the pie chart that shows given amounts 27 S&P 1 MA1-18SP Chance Choose the correct chance statement about a familiar event (dice) 28 S&P 1 MA1-18SP Chance Recognise an event that is certain 29 S&P 1 MA1-18SP Chance Use the language of chance (unlikely) to describe a simple event 30 S&P 2 MA2-19SP Chance Choose the category that is most likely to be chosen from a given box 31 S&P 2 MA2-19SP Chance Choose the everyday event that is most likely 32 N&A 2 MA2-5NA Addition and subtraction Find the sum of four numbers, some two-digit and some three-digit numbers 33 N&A 2 MA2-8NA Patterns and algebra Find the missing number in a simple equation containing addition 34 N&A 3 MA2-6NA Multiplication and division Solve a word problem requiring multiplication (24 72) or estimation 35 N&A 2 MA2-8NA Patterns and algebra Choose the equation that is equivalent to a given equation 9

10 Fourth Edition alignment to the NSW mathematics syllabus Test 5 item descriptors and NSW mathematics syllabus links 1 N&A 2 MA2-6NA Multiplication and division Solve a work problem requiring a multiplication factor (four times) 2 N&A 3 MA3-6NA Multiplication and division Apply knowledge of multiplication to work out the second step in a given process 3 M&G 3 MA3-12MG Mass Read a scale where five subdivisions are not labelled 4 N&A 2 MA2-5NA Addition and subtraction Solve a multi-step word problem requiring addition and subtraction of twodigit numbers 5 N&A 2 MA2-8NA Patterns and algebra Continue a visual repeating pattern to find a later symbol 6 N&A 2 MA2-5NA Addition and subtraction N&A 2 MA2-8NA Patterns and algebra Work out the largest number of items that can be bought with a given total amount 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 Solve a word problem requiring division (96 6) 9 N&A 3 MA3-7NA Fractions and decimals Find one quarter plus one quarter using formal fraction notation 10 N&A 2 MA2-6NA Multiplication and division Solve a word problem requiring multiplication (43 6) 11 N&A 3 MA3-7NA Fractions and decimals Put decimal fractions with different decimal places in order 12 M&G 2 MA2-17MG Position Follow directions using turn right, turn left on a simple street map 13 M&G 1 MA1-15MG Two-dimensional space Rotate a 2D shape a quarter-turn anticlockwise 14 M&G 2 MA2-15MG Two-dimensional space Recognise the reflection of a given drawing 15 M&G 2 MA2-17MG Position Follow east and west directions to find distance from a starting point 16 M&G 2 MA2-15MG Two-dimensional space Recognise the half-turn image of a 2D shape with asymmetric markings 17 M&G 2 MA2-13MG Time Find the time shown on a clock that loses time every hour 18 M&G 2 MA2-11MG Volume and capacity Read a scale with four markings between labelled markings 10

11 Fourth Edition alignment to the NSW mathematics syllabus 19 M&G 3 MA3-11MG Volume and capacity Choose the familiar container (cup) that has a given capacity (200mL) 20 M&G 1 MA1-13MG Time Use a monthly calendar to find the date of a given day in the next month 21 M&G 2 MA2-12MG Mass Solve a problem involving the difference of masses measured on a scale 22 S&P 2 MA2-18SP Data Read a simple table 23 S&P 2 MA2-18SP Data Find the total of two categories given in a table 24 S&P 2 MA2-18SP Data Read a pictograph that uses a symbol for multiple units and includes half units 25 S&P 3 MA3-18SP Data Convert a value from a simple pie chart to a percentage 26 S&P 3 MA3-18SP Data Choose the best description of a pattern of data shown in a graph 27 S&P 1 MA1-18SP Chance Recognise an everyday event that is impossible 28 S&P 3 MA3-19SP Chance Match the 90 per cent chance to a position near one on a 0 1 scale 29 S&P 2 MA2-19SP Chance Choose the best description (good chance) for a given random selection 30 S&P 3 MA3-19SP Chance Find the probability of scoring a given number on a die 31 S&P 2 MA2-19SP Chance N&A 2 MA2-6NA Multiplication and division N&A 2 MA2-8NA Patterns and algebra N&A 4 MA4-4NA Computation with integers Recognise that the smallest category in a group has the smallest chance of being selected Recognise the relationship (four time larger) between two given division equations Find the missing number in an addition number sentence (by subtraction or by inspection) Choose the multiplication that is equal to a given expression containing brackets 35 N&A 4 MA4-4NA Computation with integers Multiply a three-digit number by

12 Fourth Edition alignment to the NSW mathematics syllabus Test 6 item descriptors and NSW mathematics syllabus links 1 N&A 3 MA3-4NA Whole number Recognise a seven-digit number given in words 2 N&A 3 MA3-6NA Multiplication and division Solve a two-step word problem involving multiplication 3 N&A 3 MA3-6NA Multiplication and division Solve a word problem involving sharing a total amount 4 N&A 3 MA3-4NA Whole number Recognise the position of a given negative number on a scale 5 N&A 3 MA3-4NA Whole number Solve a problem involving division with remainder 6 N&A 3 MA3-6NA Multiplication and division 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 Solve a word problem involving fractions of a given total 8 N&A 4 MA4-5NA Locate a fraction on a number line 9 N&A 3 MA3-8NA Patterns and algebra Extend a number pattern shown in diagrams to describe a later diagram 10 N&A 3 MA3-7NA Fractions and decimals Estimate a fraction calculation by replacing the fraction with a simpler nearequivalent 11 N&A 2 MA2-7NA Fractions and decimals Work out the fraction of a square made by repeated folding of the square 12 N&A 4 MA4-5NA 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 Recognise that showing one-third shaded requires segments equal in area 14 M&G 3 MA3-15MG Two-dimensional space Recognise the reflection of simple shape (square) in a diagonal mirror line 15 M&G 3 MA3-15MG Two-dimensional space Recognise the result of pieces cut from a folded square of paper 16 M&G 3 MA3-14MG Three-dimensional space Recognise the box that can be made using a given net 17 N&A 3 MA3-8NA Patterns and algebra Find the coordinates of a point 18 M&G 3 MA3-16MG Angles Find an angle at a point 19 M&G 3 MA3-15MG Two-dimensional space Recognise the rotation (fraction of a full turn) that leaves a given shape looking the same 20 M&G 2 MA2-13MG Time Convert time in fractions of an hour to minutes 12

13 Fourth Edition alignment to the NSW mathematics syllabus 21 M&G 3 MA3-9MG Length Compare lengths given in different metric units 22 M&G 2 MA2-13MG Time Read the time on a clock face to the nearest minute 23 M&G 3 MA3-10MG Area Find the length of a rectangle given its area and the other side length 24 M&G 2 MA2-9MG Length Convert a length in centimetres to decimal metres 25 M&G 3 MA3-12MG Mass Solve a simple problem requiring the conversion of metric units (kilograms to grams) 26 M&G 3 MA3-9MG / MA3-10MG Length 1 / Area Find the area of a rectangle given its perimeter and one side length 27 S&P 3 MA3-18SP Data Recognise the factors that ensure a fair sample is selected 28 S&P 3 MA3-18SP Data Recognise the column graph that shows the same information as a given pie chart 29 S&P 3 MA3-18SP Data Find the total for a range of categories given in a table 30 S&P 3 MA3-18SP Data Interpret information from a line graph 31 S&P 3 MA3-18SP Data Interpret information given in a column graph 32 S&P 3 MA3-19SP Chance Recognise the chance of a given event expressed as a fraction 33 S&P 3 MA3-19SP Chance Choose the correct statement about possible s from spinning a given spinner 34 S&P 3 MA3-19SP Chance Recognise the chance of a given event expressed as a fraction 35 S&P 3 MA3-19SP Chance Match the very likely chance to a position near one on a 0 1 scale 36 S&P 3 MA3-19SP Chance Find the probability of a given event and express it as a decimal 37 N&A 3 MA3-6NA Multiplication and division Divide a four-digit number by a one-digit number 38 N&A 3 MA3-6NA Multiplication and division 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 Subtract a three-place decimal from a whole number 40 N&A 3 MA3-8NA Patterns and algebra Compare simple equations having +,, or to find the equation with the largest missing number 13

14 Fourth Edition alignment to the NSW mathematics syllabus Test 7 item descriptors and NSW mathematics syllabus links 1 N&A 3 MA3-7NA Fractions and decimals Put one-place and two-place decimals in order 2 N&A 4 MA4-5NA 3 N&A 4 MA4-5NA Calculate 15 per cent of a given number Solve a word problem involving fractions of part of a whole cake 4 N&A 2 MA2-8NA Patterns and algebra Extend a number pattern shown visually to find a later value 5 N&A 3 MA3-7NA Fractions and decimals Recognise a small decimal fraction given in words 6 N&A 4 MA4-5NA Express part of a total as a percentage 7 N&A 4 MA4-4NA Computation with integers Recognise the equivalent expression obtained from the distributive law for multiplication 8 N&A 3 MA3-6NA Multiplication and division Solve a multi-step problem involving as the inverse of 9 N&A 4 MA4-7NA Ratio and rates Recognise the meaning of a horizontal segment in a distance-time graph 10 N&A 4 MA4-7NA Ratio and rates Read information from a distance-time graph 11 N&A 4 MA4-8NA Algebraic techniques Match a number sentence to a two-step statement in words 12 N&A 4 MA4-8NA Algebraic techniques Use a given relationship between two pronumerals to find a new relationship 13 N&A 3 MA3-7NA Fractions and decimals Match a formula for cost to a statement in words 14 M&G 3 MA3-14MG Three-dimensional space Recognise the back view of a 3D object (stack of blocks) 15 M&G 3 MA3-15MG Two-dimensional space Recognise the description of the mirror reflection of a 2D shape 16 M&G 3 MA3-15MG Two-dimensional space Compare the lines of symmetry for given letters of the alphabet 17 M&G 3 MA3-14MG Three-dimensional space Choose the net that cannot form a given open box 18 M&G 4 MA4-17MG Properties of geometrical figures Recognise the description of a 2D shape that cannot be drawn 19 M&G 3 MA3-15MG Two-dimensional space Recognise the rotation (in degrees) that leaves a given shape looking the same 20 M&G 3 MA3-12MG Mass Find the difference of two masses involving change of units 14

15 Fourth Edition alignment to the NSW mathematics syllabus 21 M&G 2 MA2-13MG Time Read the time on a clock face to the nearest minute 22 M&G 4 MA4-14MG Volume Compare volumes of 3D objects where the objects involve half units 23 M&G 4 MA4-12MG Length Find the perimeter of a hexagon where the length of one side is given indirectly 24 M&G 4 MA4-13MG Area Find the area of a compound shape made using rectangles 25 M&G 2 MA2-11MG Volume and capacity M&G 3 MA3-12MG Mass Recognise that the same volume means taking up the same amount of space 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 Interpret a two-category column graph 28 S&P 4 MA4-20SP Single variable data analysis Find the mean of a small set of numbers 29 S&P 4 MA4-20SP Single variable data analysis Calculate a total value given the mean and the number of scores 30 S&P 3 MA3-18SP Data Find the total of a given range of categories in a frequency table 31 S&P 4 MA4-19SP Data collection and representation Choose the best description of a pattern of data shown in a graph (dot plot) 32 S&P 4 MA4-21SP Probability Find the probability of a given random selection (one ball from ten in a box) 33 S&P 4 MA4-21SP Probability Put the categories on a given spinner in order of likelihood 34 S&P 2 MA2-19SP Chance Understand that the of an independent event does not depend on previous s 35 S&P 3 MA3-19SP Chance Convert an area representation of parts of a whole to a probability 36 S&P 4 MA4-21SP Probability Work out the number of attempts needed to ensure a given chance of success 37 N&A 3 MA3-7NA Fractions and decimals Add three one-place, two-place and three-place decimals together 38 N&A 4 MA4-9NA Indices Recognise the square root of a number from given information 39 N&A 4 MA4-4NA Computation with integers Add two negative numbers 40 N&A 4 MA4-9NA Indices Find the value of a given number raised to the power of three 15

16 Fourth Edition alignment to the NSW mathematics syllabus Test 8 item descriptors and NSW mathematics syllabus links 1 N&A 4 MA4-4NA Computation with integers Subtract and multiply integers 2 N&A 3 MA3-6NA Multiplication and division N&A 3 MA3-7NA Fractions and decimals Recognise an estimation method for the multiplication of given two-digit numbers Recognise the true sentence involving multiplication of fractions with whole numbers 4 N&A 4 MA4-6NA Financial mathematics Express a given price reduction as a percentage 5 N&A 4 MA4-5NA Choose the correct position for the square root of two on a number line 6 N&A 3 MA3-6NA Multiplication and division N&A 3 MA3-7NA Fractions and decimals Solve a word problem requiring division where the context requires the answer to be rounded up Choose the decimal fraction that estimates the fractional part of two, shown visually 8 N&A 4 MA4-6NA Financial mathematics Find a profit as a percentage of the cost price 9 N&A 4 MA4-5NA Recognise the multiplication process equivalent to a 50 per cent increase 10 N&A 4 MA4-7NA Ratio and rates Calculate distance travelled given speed and time taken where conversion of time units is required 11 N&A 4 MA4-10NA Equations Solve a linear equation where two steps are required 12 N&A 3 MA3-8NA Patterns and algebra Find the sixth number in a given Fibonacci sequence 13 N&A 3 MA3-8NA Patterns and algebra Extend a number pattern shown visually to find a later number 14 N&A 4 MA4-10NA Equations Recognise the equation that matches a description in words 15 N&A 4 MA4-8NA Algebraic techniques Expand a simple algebraic expression 16 M&G 4 MA4-14MG Volume Recognise the number of cubes in each column of a stack of cubes 17 M&G 3 MA3-14MG Three-dimensional space Recognise the net of a given box with labelled sides 18 M&G 3 MA3-15MG Two-dimensional space Recognise that angles are unchanged by enlargement 19 M&G 3 MA3-16MG Angles 1 and Work out the angle at a point in a given tessellation 20 M&G 4 MA4-17MG Properties of geometrical figures Choose a correct statement about given congruent triangles 16

17 Fourth Edition alignment to the NSW mathematics syllabus 21 M&G 5.1 MA5.1-11MG Properties of geometrical figures 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 Work out the volume of a stack of blocks that includes half units 23 M&G 3 MA3-13MG Time Work out waiting time using a train timetable 24 M&G 3 MA3-13MG Time Work out arrival time using a train timetable 25 M&G 3 MA3-13MG Time Work out travel time using a train timetable 26 M&G 4 MA4-13MG Area M&G 4 MA4-12MG Length Use knowledge of area of 2D shapes to compare the areas of two triangles inside rectangles Work out the perimeter of a compound shape from information about the area of its components 28 M&G 4 MA4-13MG Area Calculate the area of a kite 29 S&P 4 MA4-19SP Data collection and representation Recognise the factors that ensure a representative sample is selected 30 S&P 3 MA3-18SP Data Convert information from a pie chart to a percentage 31 S&P 4 MA4-20SP Single variable data analysis Calculate the change in the mean when an outlier is excluded 32 S&P 4 MA4-20SP Single variable data analysis Find the mean number of letters in the words of a given sentence 33 S&P 3 MA3-18SP Data Work out the fraction of a category from data in a two-way table 34 S&P 4 MA4-20SP Single variable data analysis Work out the number in a small group given the mean and the other numbers 35 S&P 3 MA3-19SP Chance Find the probability of scoring a given number on a spinner 36 S&P 4 MA4-21SP Probability S&P 4 MA4-21SP Probability S&P 4 MA4-21SP Probability Work out the number of attempts needed to ensure a given chance of success Find the probability of a given random selection (an odd number from a given set of numbers) Choose the spinner that gives the greatest chance of a given event (pointing to white) 39 S&P 3 MA3-19SP Chance Find the probability of a given event and express as a decimal 40 S&P 4 MA4-21SP Probability Obtain probabilities from a two-category Venn diagram 17

18 Fourth Edition alignment to the NSW mathematics syllabus Test 9 item descriptors and NSW mathematics syllabus links 1 N&A 4 MA4-5NA 2 N&A 4 MA4-5NA 3 N&A 4 MA4-5NA Choose the number closest to 1/ Recognise the correct reason that one given fraction is smaller than another Solve a word problem involving fractions of a group 4 N&A 4 MA4-9NA Indices Choose the expression equal to a given number in exponent form 5 N&A 3 MA3-7NA Fractions and decimals Find the number halfway between two small decimal fractions 6 N&A 4 MA4-9NA Indices N&A 3, 4 MA3-8NA / MA4-9NA Patterns and algebra 2 / Indices Evaluate a simple algebraic expression that contains the zero index Extend a number pattern involving square numbers to find a later number 8 N&A 4 MA4-10NA Equations Solve a linear equation where the solution is a small fraction 9 N&A 5.2 MA5.2-8NA Equations Solve a word problem involving two unknown prices 10 N&A 4 MA4-10NA Equations Choose the number sentence that matches a given situation described in words 11 N&A 4 MA4-8NA Algebraic techniques Choose the table of values that matches a given linear inequation 12 N&A 5.2 MA5.2-9NA Linear relationships Recognise the correct equation for a given line graph 13 N&A 5.2 MA5.2-6NA Algebraic techniques Recognise the expanded form of the product of two linear expressions 14 N&A 5.2 MA5.2-7NA Indices Recognise the correct equation for a given line graph 15 N&A 5.1 MA5.1-6NA Linear relationships 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 Factorise an algebraic expression by finding a binomial factor 17 M&G 3 MA3-16MG Angles Recognise two angles of equal size shown on a protractor 18 M&G 3 MA3-9MG Length 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 Find the size of an angle using angle properties for rectangles and triangles 18

19 Fourth Edition alignment to the NSW mathematics syllabus 20 M&G 3 MA3-14MG Three-dimensional space Recognise the 3D object described from the given number of faces, vertices and edges 21 N&A 4 MA4-11NA Linear relationships Find the circular coordinates of a point from given information 22 M&G 5.1 MA5.1-10MG 23 M&G 4 MA4-16MG Right-angled triangles (trigonometry) Right-angled triangles (Pythagoras) Use trigonometry to find an opposite side M&G 3 MA3-15MG Two-dimensional space Use Pythagoras theorem to find the length of the hypotenuse of a given triangle Choose the square that is enlarged by a scale factor of two from the original square 25 M&G 4 MA4-14MG Volume Find the volume of a cuboid in context 26 M&G 4 MA4-14MG Volume M&G 3 MA3-9MG Length Find the height of a box from information about its sides and volume Find the perimeter of a rectangle using informal units of length (paces) 28 M&G 4 MA4-13MG Area Find the area of a rectangle given one side and perimeter 29 M&G 4 MA4-13MG Area Find the ratio of the areas of a given square and a given triangle 30 M&G 4 MA4-12MG Length Decide which are correct statements about the circumference and diameter of any circle 31 S&P 4 MA4-20SP Single variable data analysis Work out the number required to result in a given average 32 S&P 4 MA4-20SP Single variable data analysis Find the modal group from the graph of a set of grouped data 33 S&P 4 MA4-20SP Single variable data analysis S&P 4 MA4-20SP Single variable data analysis Correctly interpret the data shown on the graph of a set of grouped data 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 Construct a back-to-back stem-and-leaf plot from given data 36 S&P 4 MA4-21SP Probability Choose the event that has a probability closest to one (1) 37 S&P 5.1 MA5.1-13SP Probability S&P 5.1 MA5.1-13SP Probability Work out the probability of a random selection from a given set of subcategories Obtain the number in a subset from a three-category Venn diagram 39 S&P 5.1 MA5.1-13SP Probability Obtain relative frequencies from a three-category Venn diagram 40 S&P 5.2 MA5.2-17SP Probability Find a probability on a tree diagram 19

20 Fourth Edition alignment to the NSW mathematics syllabus Test 10 item descriptors and NSW mathematics syllabus links 1 N&A 4 MA4-5NA 2 N&A 4 MA4-5NA Express the shaded segments of a 2D shape as a percentage Calculate the sale price using a 10 per cent reduction 3 N&A 4 MA4-7NA Ratio and rates Calculate the average rate from a given change over a period of time 4 N&A 3 MA3-7NA Fractions, decimals Work out the decimal fraction halfway between two decimals 5 N&A 4 MA4-5NA Round a three-place decimal to one decimal place 6 N&A 4 MA4-5NA Calculate the original price given the percentage reduction (25 per cent) and the reduced price 7 N&A 5.1 MA5.1-5NA Indices Write a whole number with a negative index as a fraction 8 N&A 4 MA4-10NA Equations Correctly describe what a given symbol stands for in a complex problem 9 N&A 4 MA4-10NA Equations Choose the best way to solve a linear equation where two steps are required 10 N&A 4 MA4-8NA Algebraic techniques Expand brackets to find a equivalent expression 11 N&A 4 MA4-7NA Ratio and rates 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 Calculate simple interest 13 N&A 5.2/5.3 MA5.2-6NA / MA5.3-5NA Algebraic techniques Expand a perfect square 14 N&A 4 MA4-8NA Algebraic techniques Find the rule for a quadratic pattern shown visually 15 N&A 5.2 MA5.2-6NA Algebraic techniques Subtract two algebraic fractions and simplify the answer 16 N&A 5.2 MA5.2-10NA Non-linear relationships Recognise the equation for a given graph of a non-linear function 17 N&A 5.2 MA5.2-6NA Algebraic techniques Use the index laws to simplify an algebraic fraction 18 M&G 3 MA3-17MG Angles 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 Choose the triangular prism that has markings matching those on a given net 20 M&G 3 MA3-14MG Three-dimensional space Recognise the net of a cube with patterns on its faces 20

21 Fourth Edition alignment to the NSW mathematics syllabus 21 M&G 5.1 MA5.1-11MG Properties of geometrical figures 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 23 M&G 5.2 MA5.2-13MG 24 M&G 4 MA4-16MG Properties of geometrical figures Right-angled triangles (trigonometry) Right-angled triangles (Pythagoras) Find the scale factor for a given size reduction Use trigonometry to find the bearing of a point from another point Use Pythagoras theorem to find the length of a short side of a triangle 25 M&G 3 MA3-11MG Volume and capacity Calculate the volume of given cuboids to find the greatest volume 26 M&G 4 MA4-14MG Volume Calculate the area of a simple compound shape 27 N&A 4 MA4-7NA Ratio and rates Find the time taken to fill a swimming pool given the filling rate 28 M&G 4 MA-13MG Area Recognise the effect on its volume and mass of doubling the side lengths of a cube 29 M&G 4 MA-13MG Area Estimate the area of circular object (coin) given its diameter 30 M&G 4 MA4-14MG Volume Find the volume of a triangular prism 31 S&P 5.1 MA5.1-13SP Probability Interpret information from a line graph 32 S&P 4 MA4-20SP Single variable data analysis Recognise the factors that ensure a representative sample is selected 33 S&P 3 MA3-18SP Data Read information from a segmented column graph 34 S&P 4 MA4-20SP Single variable data analysis Calculate a score given the mean and the other scores 35 S&P 5.2 MA5.2-15SP Single variable data analysis Choose the correct statement comparing two box plots 36 S&P 5.2 MA5.2-17SP Probability Recognise the situation that gives the greater probability of a given selection 37 S&P 5.2 MA5.2-17SP Probability Work out the most likely result in a game where two coins are tossed 38 S&P 4 MA4-21SP Probability S&P 5.1 MA5.1-13SP Probability S&P 2 MA2-19SP Chance Compare different proportions to work out the situation that gives the best chance of success Calculate a probability as a fraction of a given category from a two-way table Recognise that the probability of a familiar event does not depend on previous s 21

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