Adding and subtracting to 1000
Year 3 · 6 questions
Regroup, estimate, check with the inverse and use mental strategies.
For parents: By the end of Year 3, your child should be able to add and subtract two- and three-digit numbers, estimate to check an answer makes sense, and use subtraction to check addition.
AC9M3N03add and subtract two- and three-digit numbers using place value to partition, rearrange and regroup numbers to assist in calculations without a calculatorAC9M3N05estimate the quantity of objects in collections and make estimates when solving problems to determine the reasonableness of calculationsAC9M3A01recognise and explain the connection between addition and subtraction as inverse operations, apply to partition numbers and find unknown values in number sentencesAC9M3A02extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator
Sample question and its hints
A school collected 256 cans on Monday and 178 cans on Tuesday. How many cans altogether?
- We need the total of the two days of cans.
- Add the hundreds, tens and ones separately, then put them together.
- 145 + 267: 100 + 200 = 300, 40 + 60 = 100, 5 + 7 = 12. That is 412. Now try yours.
Metric units, time and right angles
Year 3 · 6 questions
Pick metric units, read a jug, compare minutes and seconds, and spot right angles.
For parents: By the end of Year 3, your child should be able to choose sensible metric units, read simple scales, compare units of time, and spot right angles.
AC9M3M01identify which metric units are used to measure everyday items; use measurements of familiar items and known units to make estimatesAC9M3M02measure and compare objects using familiar metric units of length, mass and capacity, and instruments with labelled markingsAC9M3M03recognise and use the relationship between formal units of time including days, hours, minutes and seconds to estimate and compare the duration of eventsAC9M3M05identify angles as measures of turn and compare angles with right angles in everyday situations
Sample question and its hints
Which unit would you use to measure the length of a footy oval?
Choices: Centimetres · Metres · Kilograms · Litres
- We are measuring a length, and it is very long.
- Think which length unit would give a sensible number, not a huge one.
- A pencil is best measured in centimetres, because it is small. Now try yours.
Times tables and unit fractions
Year 3 · 6 questions
Use facts for threes, fours, fives and tens, and name unit fractions.
For parents: By the end of Year 3, your child should be able to use the multiplication facts for 3, 4, 5 and 10, and name unit fractions such as a third or a quarter.
AC9M3A03recall and demonstrate proficiency with multiplication facts forAC9M3N04multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategiesAC9M3N02recognise and represent unit fractions including
Sample question and its hints
What is 3 × 7?
- Times means groups of: 3 groups of 7.
- Count by threes seven times, or add 7 + 7 + 7.
- 3 × 6: count 3, 6, 9, 12, 15, 18. Now try yours.
Frequency tables and chance
Year 3 · 6 questions
Read a frequency table and describe chance as likely, unlikely, certain or impossible.
For parents: By the end of Year 3, your child should be able to read a frequency table and describe how likely everyday events are, from impossible to certain.
AC9M3ST01acquire data for categorical and discrete numerical variables to address a question of interest or purpose by observing, collecting and accessing data sets; record the data using appropriate methods including frequency tables and spreadsheetsAC9M3ST02create and compare different graphical representations of data sets including using software where appropriate; interpret the data in terms of the contextAC9M3P01identify practical activities and everyday events involving chance; describe possible outcomes and events as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’ explaining reasoningAC9M3P02conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation
Sample question and its hints
How many students answered the survey?
- Each number is how many students chose that sport.
- Add all four numbers. Look for pairs that are easy to add.
- 8 + 5 + 2 + 5: 8 + 2 = 10 and 5 + 5 = 10, so 20. Now try yours.
Objects and maps
Year 3 · 6 questions
Count faces, match objects to their uses and find your way on a school map.
For parents: By the end of Year 3, your child should be able to describe the features of 3D objects, and use a simple map to find landmarks and follow a path.
AC9M3SP01make, compare and classify objects, identifying key features and explaining why these features make them suited to their usesAC9M3SP02interpret and create two-dimensional representations of familiar environments, locating key landmarks and objects relative to each other
Sample question and its hints
How many flat faces does a cube have?
- A face is a flat surface. Think of a dice.
- Count the top and bottom, then the faces around the sides.
- A triangular prism has 2 triangle faces and 3 rectangle faces, so 5 faces. Now try yours.
Fractions
For Years 3–6 · 6 questions
Share pizzas, lamingtons and kangaroos into equal parts.
For parents: Across Years 3 to 6, your child learns to name unit fractions, find equivalent fractions, and compare and order fractions.
AC9M3N02recognise and represent unit fractions includingAC9M4N03find equivalent representations of fractions using related denominators and make connections between fractions and decimal notationAC9M5N03compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line
Sample question and its hints
What fraction of the pizza is left?
- How many equal slices made the whole pizza? That number goes on the bottom of the fraction.
- Now count the slices that are still there. That number goes on top. Drawing the pizza can help.
- If a pizza has 4 slices and 2 are eaten, 2 of the 4 slices are left, so 2/4 is left. Now try yours.
Multiplication
For Years 2–5 · 6 questions
Equal groups, arrays and times tables, with lamingtons and footy tickets.
For parents: Across Years 2 to 5, your child learns to multiply using equal groups and arrays, and recall times tables with their related division facts.
AC9M2N05multiply and divide by one-digit numbers using repeated addition, equal grouping, arrays, and partitioning to support a variety of calculation strategiesAC9M3N04multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategiesAC9M4A02recall and demonstrate proficiency with multiplication facts up to 10 x 10 and related division facts; extend and apply facts to develop efficient mental strategies for computation with larger numbers without a calculator
Sample question and its hints
There are 3 plates with 4 lamingtons on each plate. Which number sentence matches?
Choices: 3 + 4 · 3 × 4 · 4 − 3
- We have equal groups: the same number of lamingtons on every plate. We want a sentence for all of them.
- Draw 3 circles for the plates and put 4 dots in each. Which kind of number sentence tells that story?
- 2 bags with 5 apples in each bag is 2 groups of 5, written 2 × 5. Now try yours.
Place value
For Years 2–4 · 6 questions
Ones, tens, hundreds and thousands: what each digit is really worth.
For parents: Across Years 2 to 4, your child learns to say what each digit in a number is worth, and split and regroup numbers in different ways.
AC9M2N02partition, rearrange, regroup and rename two- and three-digit numbers using standard and non-standard groupings; recognise the role of a zero digit in place value notationAC9M3N01recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000
Sample question and its hints
In the number 352, what is the 5 worth?
Choices: 5 · 50 · 500 · 52
- A digit is worth a different amount depending on which place it sits in.
- Write 352 in a place value chart with hundreds, tens and ones columns. Which column is the 5 in?
- In 274, the 7 is in the tens place, so it is worth 7 tens, which is 70. Now try yours.
Time
For Years 1–4 · 6 questions
O’clock, half past, am and pm, and working out how long things take.
For parents: Across Years 1 to 4, your child learns to read the time on analog and digital clocks, and work out how long things take, including am and pm.
AC9M2M04recognise and read the time represented on an analog clock to the hour, half-hour and quarter-hourAC9M3M04describe the relationship between the hours and minutes on analog and digital clocks, and read the time to the nearest minuteAC9M4M03solve problems involving the duration of time including situations involving “am” and “pm” and conversions between units of time
Sample question and its hints
The long hand points to 12 and the short hand points to 3. What time is it?
Choices: 12 o’clock · 3 o’clock · Half past 3 · Quarter past 12
- A clock has two hands. One shows the hour and the other shows the minutes.
- Find the short hand first: it tells the hour. Then check where the long hand is.
- Short hand on 7 and long hand on 12: that is 7 o’clock. Now try yours.
Money
For Years 1–4 · 6 questions
Australian coins and notes, adding up, and working out change.
For parents: Across Years 1 to 4, your child learns to recognise Australian coins and notes, add up amounts, and work out change.
AC9M1N05use mathematical modelling to solve practical problems involving additive situations including simple money transactions; represent the situations with diagrams, physical and virtual materials, and use calculation strategies to solve the problemAC9M2N06use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms of the situationAC9M3M06recognise the relationships between dollars and cents and represent money values in different ways
Sample question and its hints
Which coin is worth the most?
Choices: 50c · $1 · $2 · 20c
- We want the coin with the biggest value, not the biggest size.
- Sort the coins into cents and dollars. Remember that 100 cents make 1 dollar.
- A $1 coin is smaller than a 50c coin, but it is worth more, because 1 dollar is 100 cents. Now try yours.