Year 5

Year 5 NAPLAN Fractions Practice

Fractions become easier when children connect the picture, the number line and the calculation. Start with a few worked examples, then practise the gap.

NAPLAN-style practice Worked answers Parent progress tracking
Free sample questions

Try a few worked examples first

These samples come from existing Pi Leo Academy NAPLAN-style maths content. The free check-up gives a fuller topic summary.

Sample 1 Decimals and patterns

The first number in a pattern is 2.15. Each next number is 0.2 less than the previous number. What is the third number?

A 1.95
B 1.75
C 1.55
D 2.55
Show worked answer

Answer: B. 1.75

First number: 2.15. Second number: 2.15 - 0.2 = 1.95. Third number: 1.95 - 0.2 = 1.75.

Sample 2 Fractions

Bill and Sue each get 1/6 of a bag of apples. What fraction of the bag is left?

A 2/6
B 5/6
C 3/6
D 4/6
Show worked answer

Answer: D. 4/6

Bill gets 1/6 and Sue gets 1/6. Together they get 1/6 + 1/6 = 2/6. The amount left is 1 - 2/6 = 6/6 - 2/6 = 4/6.

Sample 3 Fractions and decimals

Which decimal is equivalent to 3/5?

A 0.3
B 0.35
C 0.5
D 0.6
Show worked answer

Answer: D. 0.6

To convert 3/5 to a decimal, divide 3 by 5: 3 ÷ 5 = 0.6.

Sample 4 Multiplication and money

Ava gets 15 cents for every aluminium can recycled. She recycles 18 cans. How much money will she get?

A $2.70
B $270
C $18
D 270 cents
Show worked answer

Answer: A. $2.70

Multiply the amount per can by the number of cans: 15 cents × 18 = 270 cents. Convert to dollars by dividing by 100: 270 ÷ 100 = $2.70.

Sample 5 Data totals

Favourite fruit tally: Apple = 17, Banana = 11, Orange = 13. How many students were asked altogether?

Show worked answer

Answer: 41

Add all the tallies together: 17 + 11 + 13 = 41. You are finding the total number of students surveyed.

Sample 6 3D shapes and nets

A net has 3 rectangles in a strip and two congruent triangles attached to one rectangle. Which solid can it make?

A cube
B square pyramid
C rectangular prism
D triangular prism
Show worked answer

Answer: D. triangular prism

A triangular prism has two congruent triangular faces (the bases) and three rectangular faces connecting them. The net described shows exactly this: 3 rectangles and 2 congruent triangles.

Common mistakes

What to watch for

Subtracting only the numerators without thinking about the whole.

Forgetting that fifths convert neatly to tenths and decimals.

Not drawing a quick model for a worded fraction question.

Simple practice path

Find the gap, then practise the next topic

Use the free maths check-up to identify your child's top gaps. Then practise one recommended topic at a time with worked solutions and short review sessions.

Parent FAQ

Questions families ask

Is this official NAPLAN material?

No. Pi Leo Academy provides independently developed NAPLAN-style practice and is not affiliated with or endorsed by ACARA or NAPLAN.

Should my child start with timed practice?

Often it is better to find the topic gaps first, review worked solutions, then add timed practice once the skill feels familiar.

Can we try it before paying?

Yes. The free maths check-up does not require payment or a credit card.

Next step

Start with a free maths check-up

Find your child's top maths gaps in around 15 minutes and get a simple practice plan.

Next step

Start with a free maths check-up

Find your child's top maths gaps in around 15 minutes, then choose a simple NAPLAN-style practice path.

Start free maths check-up