Adding and subtracting two-digit numbers
Year 2 · 6 questions
Fact families, near doubles and two-digit sums.
For parents: By the end of Year 2, your child should be able to add and take away one- and two-digit numbers, and use known facts to 20 to work out related facts.
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 notationAC9M2N04add and subtract one- and two-digit numbers, representing problems using number sentences, and solve using part-part-whole reasoning and a variety of calculation strategiesAC9M2A02recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts
Sample question and its hints
You know 9 + 6 = 15. Which take-away fact goes with it?
Choices: 15 − 6 = 9 · 9 − 6 = 3 · 15 + 6 = 21
- Adding and taking away are linked. Use the same three numbers.
- Start with the biggest number, the total. Take one part away.
- 4 + 3 = 7, so 7 − 3 = 4. Now try yours.
Quarter hours, calendars and turns
Year 2 · 6 questions
Quarter past and quarter to, counting days on a calendar, and half turns.
For parents: By the end of Year 2, your child should be able to read an analog clock to the quarter hour, count days on a calendar, and describe quarter, half and full turns.
AC9M2M02identify common uses and represent halves, quarters and eighths in relation to shapes, objects and eventsAC9M2M03identify the date and determine the number of days between events using calendarsAC9M2M04recognise and read the time represented on an analog clock to the hour, half-hour and quarter-hourAC9M2M05identify, describe and demonstrate quarter, half, three-quarter and full measures of turn in everyday situations
Sample question and its hints
The long hand points to 3. The short hand is just past 4. What time is it?
Choices: Quarter past 4 · Quarter to 4 · 3 o’clock
- The short hand shows the hour. The long hand shows the minutes.
- When the long hand is on 3, it has gone a quarter of the way around.
- Long hand on 3, short hand just past 7: quarter past 7. Now try yours.
Groups, arrays and halving
Year 2 · 6 questions
Use repeated adding and arrays, then halve again and again to make eighths.
For parents: By the end of Year 2, your child should be able to multiply using equal groups and arrays, use the twos facts, and halve again to make quarters and eighths.
AC9M2N03recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters and eighths through repeated halvingAC9M2N05multiply and divide by one-digit numbers using repeated addition, equal grouping, arrays, and partitioning to support a variety of calculation strategiesAC9M2A03recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving
Sample question and its hints
Which number sentence shows 3 groups of 5?
Choices: 3 + 5 · 5 + 5 + 5 · 3 + 3 + 3 · 5 + 3 + 5
- Each group has 5. There are 3 groups.
- Write the number in one group, once for every group.
- 2 groups of 4 is 4 + 4. Now try yours.
Surveys, tables and graphs
Year 2 · 6 questions
Read a survey table, sort answers into a list and compare graphs.
For parents: By the end of Year 2, your child should be able to collect survey answers, sort them into a list or table, and compare different graphs of the same data.
AC9M2ST01acquire data for categorical variables through surveys, observation, experiment and using digital tools; sort data into relevant categories and display data using lists and tablesAC9M2ST02create different graphical representations of data using software where appropriate; compare the different representations, identify and describe common and distinctive features in response to questions
Sample question and its hints
The class did a survey: “How do you get to school?” Which way do most children travel?
Choices: Walk · Car · Bus · Bike
- Most means the biggest number in the table.
- Compare the numbers two at a time. Keep the bigger one.
- Red 3, Blue 7, Green 2. Blue has the most. Now try yours.
Shapes and simple maps
Year 2 · 6 questions
Name shapes by their sides and find your way around a park map.
For parents: By the end of Year 2, your child should be able to sort and name shapes by their sides and corners, and find and follow a route on a simple map.
AC9M2SP01recognise, compare and classify shapes, referencing the number of sides and using spatial terms such as “opposite”, “parallel”, “curved” and “straight”AC9M2SP02locate positions in two-dimensional representations of a familiar space; move positions by following directions and pathways
Sample question and its hints
Which shape has 5 straight sides?
Choices: Hexagon · Pentagon · Triangle · Square
- Count the sides of each shape in your head.
- Some shape names give a clue: tri means 3, hex means 6.
- An octagon has 8 sides, like a stop sign. 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.
Adding and taking away
For Years F–2 · 6 questions
Count ducks, apples and kangaroos. Add some, take some away.
For parents: Across Foundation to Year 2, your child learns to add and take away small numbers, first with objects and then with number sentences.
AC9MFN05represent practical situations involving addition, subtraction and quantification with physical and virtual materials and use counting or subitising strategiesAC9M1N04add and subtract numbers within 20, using physical and virtual materials, part-part-whole knowledge to 10 and a variety of calculation strategiesAC9M2N04add and subtract one- and two-digit numbers, representing problems using number sentences, and solve using part-part-whole reasoning and a variety of calculation strategies
Sample question and its hints
3 ducks are in the pond. 2 more ducks come. How many ducks now?
Choices: 4 · 6 · 5
- Some ducks are in the pond. More ducks come. We want all the ducks.
- Draw a dot for each duck. Then count all the dots.
- 1 apple and 2 more apples. Count: 1, 2, 3. That is 3 apples. 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.
Shapes
For Years F–2 · 6 questions
Circles, triangles, squares and balls: sides, corners and shape patterns.
For parents: Across Foundation to Year 2, your child learns to name and sort familiar shapes and objects by their sides, corners and other features.
AC9MFSP01sort, name and create familiar shapes; recognise and describe familiar shapes within objects in the environment, giving reasonsAC9M1SP01make, compare and classify familiar shapes; recognise familiar shapes and objects in the environment, identifying the similarities and differences between themAC9M2SP01recognise, compare and classify shapes, referencing the number of sides and using spatial terms such as “opposite”, “parallel”, “curved” and “straight”
Sample question and its hints
How many sides does a triangle have?
Choices: 2 · 3 · 4
- Sides are the straight lines around the edge of a shape.
- Draw a triangle. Touch each side and count it just once.
- A square: touch the top, the bottom and each side. That’s 4 sides. Now try yours.