Read them with your child to see how each is solved and which skipped step it catches.
Practice test 1 is free. No card needed.
Quantitative Reasoning checks how your child reasons with numbers and science information, not what they've learnt at school. These 8 worked questions show its style, before the test on 6 March 2027 in Perth, Bunbury and Albany.
Checked by the SelectiveReady team on 12 October 2026 · Updated 27 October 2026 · How we check facts
Independent. Not affiliated with the WA Department of Education.
It's the third test, straight after the break. It checks how well a child uses mathematical and scientific reasoning to solve problems. Children in Year 5 now sit it on 6 March 2027 in Perth metro, Bunbury and Albany, for Year 7 entry in 2028.
The content is very different to what is taught in school, so there's no formula to learn. Your child needs to look at information carefully, find patterns and relationships, solve problems, and spot similarities and differences. Most of the work is reading the information closely and testing an idea against it.
Rough working is fine in the question booklet, but markers never see it, so let your child jot as they go. Questions come in no particular order of difficulty, so a hard one early is a reason to move on, not to panic.
| On the day | |
|---|---|
| Questions | 35, multiple choice |
| Time | 35 minutes |
| Options | 4 for each question, A to D |
| Pace | about a minute per question |
| Order | no particular order of difficulty, and every question is worth one point |
| Wrong answers | no marks taken off for wrong answers |
Each question shows the answer and the working. Read them with your child, and ask what the question wants before you read the working.
We wrote these for this page, to the Department's format. They are not from any real test, and none appears in our Practice tests.
These four start gently. The third and fourth share one experiment, so your child reads the table once and uses it twice.
Look at this number pattern: 3, 7, 15, 31, 63, … What is the next number?
Answer: C
Answer: C
Find the rule that turns each number into the next. Each number is doubled and then 1 is added (3 → 7 → 15 → 31 → 63), so the next number is 63 × 2 + 1 = 127. The gaps also double (4, 8, 16, 32, 64). 95 is tempting because it adds the last gap, 32, again instead of doubling it.
On a balance, 3 red blocks weigh the same as 2 blue blocks, and 4 blue blocks weigh the same as 1 green block. How many red blocks weigh the same as 2 green blocks?
Answer: D
Answer: D
Change everything into one kind of block, one step at a time. 2 green blocks weigh the same as 8 blue blocks. Every 2 blue blocks match 3 red blocks, so 8 blue blocks match 4 lots of 3, which is 12 red blocks. 8 is tempting, but that is the number of blue blocks, not red ones.
This question and the next one are about the same experiment. Mia rolled a toy car down a ramp and measured how far it rolled across the floor after leaving the ramp. She used the same car each time and changed only the height of the ramp. She did this on a wooden floor and then on carpet. The table shows her results. If the pattern continues, how far would the car most likely roll on the wooden floor from a ramp 25 cm high?
| Ramp height (cm) | Distance on wood (cm) | Distance on carpet (cm) |
|---|---|---|
| 10 | 60 | 20 |
| 20 | 120 | 40 |
| 30 | 180 | 60 |
| 40 | 240 | 80 |
Answer: B
Answer: B
Look at the wood column only and find how distance changes with height. Every extra 10 cm of height adds 60 cm of distance, so the car rolls 6 cm for each 1 cm of height, and 25 × 6 = 150 cm. 125 cm is tempting because it adds the extra 5 cm of height straight onto 120, but each centimetre of height is worth 6 cm of rolling.
This question uses the same experiment as the previous one. Mia rolled the same toy car from ramps of different heights onto a wooden floor and onto carpet. The table shows her results. Which statement is best supported by her results?
| Ramp height (cm) | Distance on wood (cm) | Distance on carpet (cm) |
|---|---|---|
| 10 | 60 | 20 |
| 20 | 120 | 40 |
| 30 | 180 | 60 |
| 40 | 240 | 80 |
Answer: A
Answer: A
Check each statement against the numbers. Going from 10 cm to 20 cm, or from 20 cm to 40 cm, doubles the distance on wood (60 to 120 to 240) and on carpet (20 to 40 to 80), so A fits. B is tempting, but the wood distances are three times the carpet distances, not twice.
These four are harder. Each has a tempting answer that comes from skipping a step, and the last is a real puzzle. Writing every step down, even the easy ones, is how your child catches it.
A community fete sells raffle tickets numbered from 1 to 60. How many of the ticket numbers have the digit 4 in them at least once?
Answer: D
Answer: D
List the numbers in two groups. Numbers ending in 4 are 4, 14, 24, 34, 44 and 54 (six numbers), and the forties are 40 to 49 (ten numbers). 44 is in both groups, so count it once: 6 + 10 − 1 = 15. 16 is the tempting wrong answer because it counts 44 twice.
Here is a number pattern: 2, 5, 4, 7, 6, 9, 8, … If the pattern continues, what do the first 20 numbers add up to?
Answer: B
Answer: B
Pair the numbers: 2 + 5 = 7, 4 + 7 = 11, and so on, so each pair is 4 more than the last. The 20 numbers make 10 pairs, from 7 up to 43. Matching them from the outside in (7 + 43, 11 + 39, …) gives 5 matches of 50, so the total is 250. 227 is tempting, but it leaves out the 20th number, 23.
The graph shows how many adults and children visited a wildlife park on four days. An adult ticket costs $15 and a child ticket costs $9. On which day did the park collect the most money from tickets?
Answer: C
Answer: C
Work out each day's takings: adults × $15 plus children × $9. Thursday is $750 + $180 = $930, Friday $600 + $360 = $960, Saturday $450 + $450 = $900 and Sunday $300 + $630 = $930, so Friday is highest. Sunday is tempting because it had the most visitors, but most were children, who pay less.
Six teams play in a netball competition. Each team plays every other team exactly once. In each game, the winning team gets 3 points and the losing team gets 0 points, but if the game is a draw, each team gets 1 point. When all the games are finished, the six teams have 40 points altogether. How many of the games were draws?
Answer: A
Answer: A
Count the games: each of 6 teams plays 5 others, but that counts every game twice, so there are 15 games. A game with a winner gives out 3 points and a draw gives out 2, so each draw means 1 point fewer. 15 games with winners would give 45 points; 45 − 40 = 5 draws. 10 is the number of games that had a winner.
How you go through the answers together matters most. Eight questions talked through slowly teach more than a page rushed.
Read it aloud and ask your child what it's asking and which facts matter. That's the habit the real test rewards.
Working on paper makes a skipped step easy to spot, for you and your child.
Each explanation names the tempting wrong option. Ask your child why it looks right: that's the trap to watch for.
Each question links to its skill page, with a method and three more worked questions.
Each wrong option here matches a slip a child might make. Go through these as you read the explanations together: each has a simple check.
Checking just the last step of a pattern: In the doubling pattern, adding the last gap again breaks the rule. Test every step.
Answering in the wrong unit: On the balance, the question asks for red blocks, not blue.
Adding instead of scaling: On the ramp, find what each centimetre of height is worth first.
Choosing 'twice' when the table says three times: Check a claim against every row, not just the first.
Counting the overlap twice: A ticket number with two fours belongs to both groups, so count it once.
Taking most visitors as most money: The busiest day had mostly children, who pay less. Work out each day's takings.
Answering a different question: In the netball puzzle, the number of games with a winner is not the number of draws.
Each question belongs to one skill. If one kind feels hard, start with that skill's page: it explains a method and works through three more questions.
| Skill | Questions on this page |
|---|---|
| ASET number patterns | 1, 6 |
| ASET relationships | 2 |
| ASET data questions | 3, 7 |
| ASET science experiment questions | 4 |
| ASET unfamiliar problems | 5, 8 |
How the whole test works is on our page about ASET quantitative reasoning.
Eight questions show the types. A full test shows whether your child can keep going for 35 minutes straight after the break, which is a different skill.
Practice test 1 has Quantitative Reasoning at its real length and time, with every answer explained. Afterwards you'll see results by skill, so you know which kinds of question cost the most marks.
No. We wrote them ourselves, to the format the Department publishes, with 4 options for each question.
Past ASET papers are not published. Our ASET practice test page links to the Department's free Practice ASET, in 4 parts.
The handbook suggests about a minute per question. A good check: your child should be about halfway through the questions when half the time is left.
Move on and come back. On the ASET there are no marks taken off for wrong answers, so a sensible guess is better than a blank. When unsure, the handbook says to narrow it to two of the four options by ruling out obvious wrong answers.
Not a lot. The handbook says the ASET is not curriculum-based and advises preparation in moderation, because most forms of preparation have limits. Our guide on how to prepare for the GATE test sets out a calm plan.
Practice test 1 marks every answer and shows results by skill: what your child already does well and the three skills to work on next.
Practise for the real test
Practice test 1 is free. Then packs from A$109 for 12 months, or A$9 a week, per exam.