Factors, multiples and division
Year 5 · 6 questions
Find factors, test divisibility and make sense of remainders.
For parents: By the end of Year 5, your child should be able to find factors and multiples, test whether a number divides evenly, and make sense of remainders.
AC9M5N02express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by anotherAC9M5N07solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fractionAC9M5A01recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts
Sample question and its hints
Tap all the factors of 18.
Choices: 2 · 3 · 4 · 5 · 6 · 9
- A factor goes into 18 exactly, with no remainder.
- Find pairs of numbers that multiply to make 18.
- Factors of 12: 1, 2, 3, 4, 6, 12, because 3 × 4 = 12 and 2 × 6 = 12. Now try yours.
Area, 24-hour time and angles
Year 5 · 7 questions
Deck areas, timetables in 24-hour time, and angles in degrees.
For parents: By the end of Year 5, your child should be able to choose metric units, work out area and perimeter, convert between 12- and 24-hour time, and measure angles in degrees.
AC9M5M01choose appropriate metric units when measuring the length, mass and capacity of objects; use smaller units or a combination of units to obtain a more accurate measureAC9M5M02solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric unitsAC9M5M03compare 12- and 24-hour time systems and solve practical problems involving the conversion between themAC9M5M04estimate, construct and measure angles in degrees, using appropriate tools including a protractor, and relate these measures to angle names
Sample question and its hints
What is 3:40 pm in 24-hour time?
Choices: 03:40 · 13:40 · 15:40
- In 24-hour time, the hours keep counting past 12 in the afternoon.
- For pm times from 1 pm onwards, add 12 to the hour.
- 7:15 pm is 19:15, because 7 + 12 = 19. Now try yours.
Decimals and percentages
Year 5 · 6 questions
Order decimals with three places and link percentages, fractions and decimals.
For parents: By the end of Year 5, your child should be able to order decimals with more than two places, and link percentages to fractions and decimals.
AC9M5N01interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number lineAC9M5N04recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents
Sample question and its hints
Which number is the biggest?
Choices: 2.305 · 2.35 · 2.053 · 2.3
- All the numbers have 2 ones. Compare the digits after the point.
- Give every number three decimal places, then compare tenths, then hundredths.
- 1.42 and 1.405: write 1.420 and 1.405. 1.420 is bigger. Now try yours.
Mode, line graphs, outcomes and coordinates
Year 5 · 6 questions
Find the mode, read a line graph, list outcomes, and move on a coordinate grid.
For parents: By the end of Year 5, your child should be able to read a line graph, find the most common value, list possible outcomes, and locate points on a grid.
AC9M5ST01acquire, validate and represent data for nominal and ordinal categorical and discrete numerical variables, to address a question of interest or purpose using software including spreadsheets; discuss and report on data distributions in terms of highest frequency (mode) and shape, in the context of the dataAC9M5ST02interpret line graphs representing change over time; discuss the relationships that are represented and conclusions that can be madeAC9M5P01list the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likelyAC9M5SP02construct a grid coordinate system that uses coordinates to locate positions within a space; use coordinates and directional language to describe position and movementAC9M5SP03describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries
Sample question and its hints
Eight kids wrote down their shoe size. What is the mode?
- The mode is the value that appears most often.
- Make a tally for each shoe size, then find the biggest tally.
- In 2, 3, 3, 8 the mode is 3, because it appears most. 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.