Year 4 Maths practice, done properly
Year 4 Maths practice doesn’t need to feel like a mystery. This page gives you 600 Australian Curriculum Maths questions for Year 4 students, organised into 15 tests that build from an easy confidence-starter through to genuine extension-level challenge questions. Every test covers the core Year 4 Australian Curriculum topics — place value, mental strategies, fractions, measurement, shape, data and more — with every single answer option explained, so a wrong guess still teaches the concept behind it. The top tiers are calibrated against real past papers from competitive primary exams, so this is also strong preparation for NAPLAN and for the OC and Selective placement tests.
What Year 4 Maths covers
Number, algebra, measurement, geometry, statistics and probability, matched to the Year 4 Australian Curriculum scope:
Year 4 Maths explained, topic by topic
Every Year 4 Maths topic below is explained in plain language, with the mistakes children most often make. This is the same teaching inside the site, free to read.
1. Place Value with 5-Digit Numbers
In Year 4, we explore numbers up to 99,999. Every digit in a five-digit number holds a specific position that determines its value. From right to left, these positions are ones, tens, hundreds, thousands, and ten-thousands. For example, in the number 47,208, the digit 4 is in the ten-thousands place and represents 40,000, while the digit 7 is in the thousands place and represents 7,000. Understanding place value allows us to partition numbers into their expanded forms and easily compare or order large quantities.
Why it matters: Large attendance figures at major sporting events, such as a cricket stadium holding 85,430 spectators, rely entirely on five-digit place value to help organisers count tickets, manage seating, and ensure crowd safety.
- Misidentifying the place value column by counting from the wrong side. A student might look at 74,123 and say the 4 is worth 400 because it is the second digit from the left, forgetting that place value columns are built from right to left starting with ones.
- Leaving out the zero placeholder when a column is empty. Writing fifty thousand six hundred and two as 5,602 instead of 50,602 completely changes the value of the number.
2. Mental Addition and Subtraction Strategies
Mental computation involves using flexible strategies to add and subtract numbers in your head without vertical algorithms. Key strategies include partitioning (breaking numbers into tens and ones), compensating (rounding a number to a friendly ten and adjusting later), and jump strategies (adding or subtracting parts of a number sequentially). Developing these mental paths increases speed, improves estimation skills, and builds numerical confidence for everyday arithmetic challenges.
Why it matters: When shopping with cash, mental maths helps you quickly calculate total costs and the change you should receive, ensuring you always have enough money before reaching the checkout.
- Forgetting to adjust the final total when using compensation. A student might solve 45 + 19 by doing 45 + 20 = 65, but forget to subtract the 1 at the end, leading to an incorrect response.
- Mixing up operational signs when bridging backwards through ten. For example, when subtracting 82 - 7, a student might subtract 2 to get to 80, but then accidentally add the remaining 5 to get 85 instead of subtracting it to get 75.
3. Fractions of Shapes and Collections
Fractions represent equal parts of a whole object or equal parts of a group of items, known as a collection. The denominator (bottom number) indicates the total number of equal parts the whole or collection is divided into. The numerator (top number) counts how many of those equal parts are being considered or selected. In Year 4, students learn to identify fractional parts of shapes and compute fractions of quantities, such as finding one-quarter of twelve counters by dividing them into four equal groups.
Why it matters: Chefs use fractions of collections constantly when preparing recipes, such as using half of a dozen eggs or a quarter bag of potatoes to feed a specific number of guests.
- Forgetting that fractional parts must be completely equal in size. A shape divided into three uneven slices does not show thirds.
- Dividing by the numerator instead of the denominator when finding fractions of collections, which scrambles the grouping process.
4. Units of Measurement for Length, Mass, and Capacity
Measurement allows us to quantify the physical world using standard metric units. Length measures distance using millimetres (mm), centimetres (cm), metres (m), and kilometres (km). Mass measures how heavy an object is using grams (g) and kilograms (kg). Capacity measures the volume of liquid a container holds using millilitres (mL) and litres (L). Understanding conversion factors, like 10 mm in 1 cm, 1,000 g in 1 kg, and 1,000 mL in 1 L, helps us compare different amounts and choose appropriate tools.
Why it matters: Baking a cake requires exact measurements of mass for flour in grams and capacity for milk in millilitres to ensure the chemical reaction occurs correctly and the cake rises.
- Using the wrong conversion multiple, such as assuming there are 100 grams in a kilogram instead of 1,000 grams.
- Adding numbers together without checking if their units match. For example, adding 5 m and 20 cm to get 25 instead of converting to 520 cm.
5. Two-Dimensional Shapes and Lines
Two-dimensional shapes are flat, closed figures defined by their sides, vertices, and internal angles. In Year 4, we classify shapes based on properties like side lengths and line relationships. Key concepts include identifying parallel lines (lines that run side-by-side and never meet) and perpendicular lines (lines that cross at a perfect 90-degree right angle). Students learn to distinguish quadrilaterals like rectangles, squares, parallelograms, and trapeziums by examining these structural elements.
Why it matters: Pedestrian crossings use bold parallel white lines painted on asphalt to guide walkers safely across roads, while the intersections of modern streets create perpendicular road grids.
- Confusing parallel lines with perpendicular lines due to similar-sounding names or geometry terms.
- Thinking a shape must always stand upright to maintain its name. A square turned on its corner is still a square, not a diamond.
6. Telling Time and Timetables
Time is quantified using units like minutes, hours, days, and weeks. Reading analog clocks requires looking at the short hour hand and the long minute hand, noticing whether the time is "past" or "to" an hour. In Year 4, students learn to interpret digital timetables for schedules like buses, trains, or school classes. Calculating elapsed time involves finding the total duration between a known start time and end time by counting hours and minutes forward.
Why it matters: Train and bus timetables use precise time grids to manage thousands of commuters daily, ensuring people arrive at work or school on schedule without unexpected delays.
- Reading the hour hand as already reaching the next hour when the minute hand is close to 12. For example, reading 3:55 as 4:55 because the hour hand looks very close to the 4.
- Counting time intervals using base-100 rules instead of remembering that there are only 60 minutes in a full hour.
7. Data Interpretation and Graphs
Graphs and charts are visual representations used to display data clearly so patterns can be discovered. Common formats in Year 4 include picture graphs (using symbols to represent values), column graphs (using vertical bars), and data tables. A critical element of any graph is its scale, which defines what value each unit or symbol represents. For instance, a single picture symbol might represent 2 or 5 real items, requiring multiplication to determine the complete total for a data category.
Why it matters: Weather reporters use daily temperature column graphs to compare weekly forecasts, helping citizens decide whether to wear a warm coat or carry an umbrella.
- Forgetting to check the key or scale of a graph and assuming every icon or grid line just counts as 1 item.
- Reading the top edge of a column incorrectly by slanting your eyes across to the axis instead of using a straight line or ruler.
8. Number Patterns and Commutative Properties
Number patterns are ordered sequences of numbers that follow a specific, logical rule to grow or shrink. In Year 4, students discover rules like adding or multiplying numbers continuously. This topic also covers structural rules of arithmetic, like the commutative property. The commutative property states that for addition and multiplication, the order of numbers does not change the final outcome. For example, 4 x 9 will produce the exact same answer as 9 x 4.
Why it matters: Tiling patterns on kitchen floors or the regular intervals of street house numbers follow predictable mathematical sequences to assist builders and mail delivery workers.
- Assuming a pattern always uses addition, without checking if the numbers are scaling up rapidly via multiplication.
- Applying commutative properties to subtraction or division. 10 - 2 does not equal 2 - 10, as order matters for those operations.
9. Perimeter and Area Fundamentals
Perimeter and area are two different ways to measure the size of flat shapes. Perimeter is the total distance around the outside edge of a shape. It is measured in standard linear units like cm or m, and is calculated by adding all side lengths together. Area is the measure of total flat surface space contained inside the boundaries of a shape. It is measured in square units like square centimetres or square metres, and can be found by counting grid squares or multiplying length by width.
Why it matters: Fencing contractors calculate perimeter to find out how much wood wire they need to enclose a backyard, while carpet layers calculate area to see how much fabric is required to cover a room floor.
- Confusing the formulas and multiplying side lengths when asked to calculate the perimeter, or adding them when asked for area.
- Forgetting to include the word "square" in unit labels when calculating area measurements.
10. Probability and Chance Events
Probability measures the likelihood of an event occurring, ranging from completely impossible to absolutely certain. In Year 4, we use everyday language descriptors like impossible, unlikely, equal chance (or fifty-fifty), likely, and certain to rank events. We also study chance experiments, such as rolling a six-sided die or spinning a colour wheel. Students learn to predict outcomes by analysing the sample space, which means looking at all the possible items that could happen in that game.
Why it matters: Meteorologists analyse pressure data to calculate the probability of rainfall, helping the public know whether it is likely or unlikely they will need an umbrella during outdoor trips.
- Confusing the terms "unlikely" and "impossible." Unlikely means an event can still happen even if the chance is very low, whereas impossible means it can never happen.
- Thinking that past chance results affect future turns. If a flipped coin lands on heads three times in a row, the next flip still has an equal chance of landing on tails.
11. Multiplication and Division Facts (Tables to 12)
Multiplication is repeated addition arranged in equal groups, and division is the opposite — sharing a total into equal groups or finding how many groups fit. Knowing your tables to 12 by heart makes both fast. Every multiplication fact comes with a matching division fact, called a fact family: because 7 x 8 = 56, you also know 56 / 8 = 7 and 56 / 7 = 8. When a number cannot be shared evenly, the amount left over is called the remainder, and it is always smaller than the number you are dividing by.
Why it matters: Working out how many packets to buy for a class party uses exactly this thinking: 24 students needing 2 sausages each is 24 x 2 = 48 sausages, and packets of 8 means 48 / 8 = 6 packets.
- Leaving a remainder that is the same size as, or bigger than, the number you divided by. If you divide by 6 and end up with a remainder of 7, another whole group still fits — go back and add one more to your answer.
- Mixing up which number is being shared. In '48 pencils shared between 6 students', the 48 is the total being broken up and the 6 is the number of groups, so it is 48 / 6, not 6 / 48.
12. Money, Change and Simple Budgets
Australian money is written with a dollar sign and two decimal places, so eight dollars is $8.00 and eighty-five cents is $0.85. Adding and subtracting money works exactly like adding and subtracting decimals: keep the decimal points lined up underneath each other so dollars stay with dollars and cents with cents. Calculating change means finding the difference between what you handed over and what you spent, and a budget is simply a plan that checks your total spending stays inside the money you actually have.
Why it matters: Every canteen order, birthday present and pocket-money decision uses this skill — and checking your change at the counter is the fastest way to spot a mistake before you walk away.
- Not lining up the decimal points when adding amounts written differently, such as $12 and $3.75. Write the whole dollars as $12.00 first so the columns match.
- Writing an answer like $6.5 instead of $6.50. Money always shows two digits after the point, because $6.5 could be misread as six dollars and five cents rather than fifty.
Try real questions — easy and hard
Tests are graded from an easy confidence-builder (Test 1, free to try in full) up to genuine extension-level challenge questions by Test 15. Here's one of each:
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Frequently asked questions
Is this Year 4 Maths practice free?
Yes. Test 1 for Year 4 Maths is completely free — no credit card and no account required to try it. Tests 2–15 are part of the paid subscription, which unlocks every year level and subject.
How many Year 4 Maths questions are there?
600 questions across 15 tests, graded from an easy confidence-builder through to extension-level challenge tests. Every question has all 4 answer options explained, not just the correct one.
Is this aligned with the Australian Curriculum?
Yes. Questions are written to match the Year 4 Australian Curriculum scope, and pitched a step above it, so a confident child is stretched rather than repeating classwork.
What age or year level is this for?
This is built for Year 4 students (typically 9-10 year olds) following the Australian Curriculum, in every state and territory.
Do wrong answers get explained too?
Yes — every single option (right and wrong) has its own explanation, so a wrong guess still teaches the underlying concept instead of just marking it incorrect.