Free Year 3 maths practice questions

Year 3 maths in Australia steps up place value, times tables, fractions and real-world problems with money and time. This page has free, original Year 3 maths practice across every topic — plus a printable PDF with an answer key — so your child can practise at home at no cost.

Addition & subtraction (to 1000)

Year 3 children add and subtract two- and three-digit numbers, including with regrouping (carrying and borrowing), and check answers using estimation. Mental strategies like splitting numbers into hundreds, tens and ones are encouraged.

Example: 346 + 178 = ?  →  524 (300 + 100 = 400, 46 + 78 = 124, so 400 + 124 = 524).

Multiplication & division / times tables

This is a big year for times tables. Children build quick recall of the 2s, 3s, 5s and 10s facts and begin using them for division too, choosing efficient strategies rather than counting one by one.

Example: 6 × 5 = ?  →  30. And the matching division: 30 ÷ 5 = 6.

Fractions (halves, quarters, thirds)

Year 3 introduces unit fractions — fractions with 1 on top, such as halves, thirds, quarters, fifths and eighths. Children model them with shapes and groups, and compare which is bigger.

Example: A pizza is cut into 4 equal pieces. What fraction is one piece?  →  one quarter (1/4).

Money & shopping

Children count and make amounts with Australian coins and notes, work out change, and solve simple shopping problems. This is practical maths they can try at the shops.

Example: You buy a drink for $2.60 and pay with a $5 note. How much change?  →  $2.40.

Time (to the minute, am/pm)

Year 3 students read analogue and digital clocks to the minute, use am and pm, and work out durations between times.

Example: Netball starts at 4:15 pm and finishes at 5:00 pm. How long does it go for?  →  45 minutes.

Measurement & length

Children measure and compare length, mass and capacity using standard units such as millimetres, centimetres, metres, grams, kilograms, millilitres and litres, and choose a sensible unit for the job.

Example: A pencil is 13 cm and a crayon is 8 cm. How much longer is the pencil?  →  5 cm.

2D and 3D shapes

Students name and describe 2D shapes and 3D objects by their features — sides, corners, faces, edges and vertices — and recognise them in the real world.

Example: How many faces does a cube have?  →  6.

Patterns

Year 3 children continue and describe number patterns, including skip-counting sequences, and work out the rule that makes the pattern grow.

Example: 4, 8, 12, 16, ?  →  20 (the rule is "add 4").

Word problems

Lots of Year 3 maths is dressed up as a story, so children learn to pick out the numbers, decide which operation to use, and check the answer makes sense.

Example: There are 24 students shared equally into 4 groups. How many in each group?  →  6 (24 ÷ 4 = 6).

How to help at home

Because maths builds up over the whole year, short and regular beats long and rare. A few things that genuinely help:

• Practise little and often. Ten focused minutes a day on times tables or number facts does more than an hour once a week.
• Use real life. Count change at the shops, read the clock together, and halve or quarter the pizza — it makes the maths stick.
• Ask "how did you work that out?" Explaining their thinking is exactly what Year 3 reasoning asks for, and it shows you where they need a hand.
• Keep it calm and positive. Praise the effort, not just the right answer, so mistakes feel safe.

For the exact topics and expectations by year, you can check the official Australian Curriculum site.

Frequently asked questions