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?
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.
Fractions become easier when children connect the picture, the number line and the calculation. Start with a few worked examples, then practise the gap.
These samples come from existing Pi Leo Academy NAPLAN-style maths content. The free check-up gives a fuller topic summary.
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?
Answer: B. 1.75
First number: 2.15. Second number: 2.15 - 0.2 = 1.95. Third number: 1.95 - 0.2 = 1.75.
Bill and Sue each get 1/6 of a bag of apples. What fraction of the bag is left?
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.
Which decimal is equivalent to 3/5?
Answer: D. 0.6
To convert 3/5 to a decimal, divide 3 by 5: 3 ÷ 5 = 0.6.
Ava gets 15 cents for every aluminium can recycled. She recycles 18 cans. How much money will she get?
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.
Favourite fruit tally: Apple = 17, Banana = 11, Orange = 13. How many students were asked altogether?
Answer: 41
Add all the tallies together: 17 + 11 + 13 = 41. You are finding the total number of students surveyed.
A net has 3 rectangles in a strip and two congruent triangles attached to one rectangle. Which solid can it make?
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.
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.
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.
No. Pi Leo Academy provides independently developed NAPLAN-style practice and is not affiliated with or endorsed by ACARA or NAPLAN.
Often it is better to find the topic gaps first, review worked solutions, then add timed practice once the skill feels familiar.
Yes. The free maths check-up does not require payment or a credit card.