Free Selective Entry Practice Test — 30 Questions, 25 Minutes, Instant Results

A school canteen sells pies and sandwiches. On Monday, pies made up 60% of all items sold. On Tuesday, the number of pies sold stayed the same, but the total number of items sold increased by 25%. What percentage of Tuesday's items were pies? Give your answer to the nearest whole number.

A data set has five values: 2, 5, 8, 11, and an unknown value k. The mean of all five values is 8 and the median is 8. A student claims: 'There is only one possible value of k that satisfies both conditions at the same time.' Is the student correct?

A student simplifies (3^a × 9^b) and wants to write it as a single power of 3. Which of the following is the correct simplified form?

A store marks up the wholesale price of a skateboard by 40% to set the retail price. During a sale, the retail price is then reduced by 25%. The sale price is $63. What was the original wholesale price of the skateboard?

A water tank is a cylinder with an internal radius of 1.5 m and an internal height of 2 m. A builder says the tank holds more than 14 000 litres. Is the builder correct? (Use π ≈ 3.14; 1 m³ = 1000 L.)

A number machine applies two steps in order: STEP 1 — multiply by 2, STEP 2 — add 10. A second machine reverses the steps: STEP 1 — add 10, STEP 2 — multiply by 2. Which statement correctly explains when, if ever, the two machines give the same output?

A right-angled triangle has legs of 6 cm and 8 cm. A rectangle has the same area as this triangle. If the rectangle's length is 12 cm, what is its width?

Three friends share a pizza. Tom eats 1/3, Erin eats 30%, and Sam eats 0.25 of the pizza. What fraction of the pizza is left over? Give your answer as a fraction in simplest form.

Two taps together fill a tank in 12 minutes. Tap A alone fills it in 20 minutes. How long does Tap B alone take to fill the tank?

A phone plan charges a $15 monthly fee plus $0.10 per minute of calls. A second plan charges no monthly fee but $0.25 per minute. For how many minutes of calls per month do both plans cost the same amount?

A bag contains only red and yellow counters. A counter is drawn at random, its colour is noted, and it is replaced. This is done 3 times. The probability of getting exactly 2 red counters is 0.384. Given that P(red) = p, which equation is correct, and what is the value of p?

Two students describe the same pattern differently. Mia says: 'Multiply the position number by 5, then add 1.' Tom says: 'Add 1 to the position number, then multiply by 5.' Which statement is true?

A garden bed is shaped like a trapezium with parallel sides of 9 m and 15 m and a perpendicular height of 8 m. A gardener claims the area is greater than 100 m². A second gardener claims it is less than 100 m². Which statement is correct, and what is the actual area?

The cost of hiring a bicycle is $8 plus $3 per hour. Lena hires a bicycle and pays $29. Jake hires a bicycle for twice as many hours as Lena. Which expression gives Jake's total cost in dollars?

Maya rolls a fair six-sided die repeatedly until she rolls a 6. What is the probability that she needs EXACTLY 3 rolls to get her first 6?

A student claims: 'When a word ends in a consonant + y, you always change the y to i before adding any suffix.' Which example BEST shows that this rule is incomplete?

Which sentence uses the word 'disinterested' correctly according to its precise meaning?

Read: "The Prime Minister's office released a statement saying the new policy would 'benefit all Australians.' Community groups called the policy 'a disaster for ordinary families.' A small survey of 50 people found 60% opposed it." Which technique most strongly reveals potential bias in how this report is written, and what does it suggest?

Read this passage. "The documentary followed three teenagers preparing for their first solo bushwalk. One had completed first-aid training. One had researched native plants. The third had spent weeks studying trail maps. The narrator closed with: 'In the end, only one of the three made it back before dark.'" What is the most likely effect of the narrator's closing line on the reader?

Read this extract from a student's persuasive speech: 'Every scientist on earth agrees that we must act on climate change now. If you are not doing your part, you are personally responsible for every flood, every wildfire, every species lost.' A classmate says this passage is 'actually really persuasive.' Which response best explains why the passage is logically flawed despite feeling convincing?

During a class fishbowl discussion, four students sit in the inner circle and debate, while the rest observe. After ten minutes, the teacher asks the observers: 'What did you notice about how the inner group managed disagreement?' One observer says, 'They kept talking over each other when they disagreed.' Another says, 'They only built on ideas they already agreed with.' A third says, 'They never summarised what had been decided before moving to a new point.' Which observation identifies the most significant barrier to productive group discussion?

A panel discussion has four speakers. After each person speaks, the next speaker begins with 'Building on what [name] said...' and then adds a new idea. By the end of the discussion, the group has developed a position that no single speaker had at the start. Which speaking and listening skill does this best demonstrate?

Read: "The government's plan will create 10 000 new jobs — a historic achievement. Critics, however, claim the plan ignores environmental costs and relies on projections that experts call 'overly optimistic'." A student says the text is balanced because it includes both the government's view and the critics' view. What does the student overlook?

A student writes the following sentence in a persuasive essay: 'Every person in this country, whether young or old, rich or poor, urban or rural, deserves clean water.' Her teacher says the series of paired contrasts does more than add detail — it performs a specific rhetorical and grammatical function. Which explanation BEST identifies both the grammatical feature and its persuasive effect?

Read this passage, then answer the question. "Thomas had always been the fastest swimmer on the team. At last year's carnival he had broken two records. But this season, a new student — quiet, barely noticeable in the corridors — had been edging closer at every training session. Thomas watched her from the corner of his eye and trained an extra hour each evening. He told everyone he was not worried." A student reading this passage claims: 'The text tells us directly that Thomas is worried about the new swimmer.' Is this claim accurate?

Look at the four words below: • 'referred' • 'offered' • 'preferred' • 'suffered' A student claims: 'When you add "-ed" to a verb ending in "-fer", you always double the final r.' Which word is the BEST evidence that this claim is WRONG, and what rule does it actually follow?

Which is correct?

A student writes: 'This is definitely the best film ever made.' What weakness could a critical reader point out?

Read this passage, then answer the question. "In one report about the town's new wind farm, a journalist wrote: 'The turbines, gleaming against the sky, promise clean energy for generations.' In a letter to the same newspaper, a resident wrote: 'Those monstrous towers now loom over our valley, ruining the view we have loved for decades.'" A student claims: 'The journalist's report is more reliable because it uses facts, while the resident's letter uses only opinion.' Is this claim accurate? Choose the best evaluation.

Read this passage, then answer the question. "Two students reviewed the same novel for their school magazine. Aisha wrote: 'The story follows a refugee family navigating a new country — their courage is portrayed with warmth and authenticity.' Ben wrote: 'The novel deals with a refugee family settling in an unfamiliar place. The writing is clear and the pacing is steady, though the ending feels predictable.'" Which statement best explains how the two reviews construct different impressions of the novel?