Tenths, hundredths and equivalent fractions
Year 4 · 6 questions
Decimals to hundredths, equal fractions and counting by quarters.
For parents: By the end of Year 4, your child should be able to read and write tenths and hundredths as decimals, find equivalent fractions, and count by fractions on a number line.
AC9M4N01recognise and extend the application of place value to tenths and hundredths and use the conventions of decimal notation to name and represent decimalsAC9M4N03find equivalent representations of fractions using related denominators and make connections between fractions and decimal notationAC9M4N04count by fractions including mixed numerals; locate and represent these fractions as numbers on number lines
Sample question and its hints
How do you write 7 tenths as a decimal?
Choices: 7.0 · 0.7 · 0.07
- Tenths go in the first place after the decimal point.
- Write 0 for no wholes, then the point, then the tenths.
- 3 tenths is written 0.3. Now try yours.
Perimeter, area, time and angles
Year 4 · 6 questions
Fence a veggie garden, time a bus trip and name angles.
For parents: By the end of Year 4, your child should be able to measure perimeter and area, work out how long something takes including am and pm, and name types of angles.
AC9M4M02recognise ways of measuring and approximating the perimeter and area of shapes and enclosed spaces, using appropriate formal and informal unitsAC9M4M03solve problems involving the duration of time including situations involving “am” and “pm” and conversions between units of timeAC9M4M04estimate and compare angles using angle names including acute, obtuse, straight angle, reflex and revolution, and recognise their relationship to a right angle
Sample question and its hints
A rectangular veggie garden is 5 m long and 3 m wide. What is its perimeter?
- Perimeter is the total distance around the outside.
- Add all four sides: two long sides and two short sides.
- A 4 m by 2 m rug: 4 + 2 + 4 + 2 = 12 m. Now try yours.
Tens, hundreds, odds and evens
Year 4 · 6 questions
Multiply and divide by 10 and 100, use odd and even, and follow number rules.
For parents: By the end of Year 4, your child should be able to multiply and divide by 10 and 100, know times tables to 10 x 10, and use odd and even numbers and number rules.
AC9M4N05solve problems involving multiplying or dividing natural numbers by multiples and powers of 10 without a calculator, using the multiplicative relationship between the place value of digitsAC9M4N02explain and use the properties of odd and even numbersAC9M4N09follow and create algorithms involving a sequence of steps and decisions that use addition or multiplication to generate sets of numbers; identify and describe any emerging patternsAC9M4A02recall 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
What is 36 × 10?
- Times 10 makes every digit worth ten times as much.
- Each digit moves one place to the left. A zero fills the ones place.
- 52 × 10: the 5 tens become 5 hundreds and the 2 ones become 2 tens, so 520. Now try yours.
Picture graphs, chance and grids
Year 4 · 6 questions
Read a picture graph, order chances, use grid references and find lines of symmetry.
For parents: By the end of Year 4, your child should be able to read picture graphs, order events by how likely they are, use grid references, and find lines of symmetry.
AC9M4ST01acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools; represent data using many-to-one pictographs, column graphs and other displays or visualisations; interpret and discuss the information that has been createdAC9M4P01describe possible everyday events and the possible outcomes of chance experiments and order outcomes or events based on their likelihood of occurring; identify independent or dependent eventsAC9M4P02conduct repeated chance experiments to observe relationships between outcomes; identify and describe the variation in resultsAC9M4SP02create and interpret grid reference systems using grid references and directions to locate and describe positions and pathwaysAC9M4SP03recognise line and rotational symmetry of shapes and create symmetrical patterns and pictures, using dynamic geometric software where appropriate
Sample question and its hints
In a picture graph, each ★ stands for 2 votes. Swimming has 7 stars. How many votes did swimming get?
- Read the key: each star is worth 2 votes.
- Count by twos, once for each star.
- If each ☺ stands for 5 people and there are 3, that is 15 people. 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.