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

A school records the number of absences per student for 10 students: 3, 0, 5, 2, 8, 1, 4, 6, 2, 9 The school then realises it missed one student who had 2 absences and adds that score to the data set. Which of the following statements about the effect on the measures of centre is correct?

Share $60 in the ratio 1 : 2 : 3. The largest share is?

A swimming pool is being filled by two pipes. Pipe A fills 2/5 of the pool each hour. Pipe B fills 1/4 of the pool each hour. Both pipes are turned on together, but after 1 hour Pipe B is turned off. How much of the pool still needs to be filled after that first hour?

Which of these fractions is closest in value to 0.62?

A bag contains only red and blue marbles. The probability of drawing a red marble is 2/5. Three marbles are drawn one at a time WITH replacement. What is the probability of getting exactly 2 blue marbles?

A class of 20 students recorded their test scores. The mean score was 65. After the teacher found a marking error, 4 students each had their score increased by 5 marks. What is the new mean score for the class?

A number is increased by 30%, then the result is decreased by 30%. A student says the final answer equals the original number. Is the student correct, and what is the actual percentage change from the original?

A tank holds 12.6 litres of water. Each day, 1.4 litres evaporates. After how many days will the tank have less than 5 litres remaining?

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?

If 4ˣ = 32, what is the value of x?

A bag contains red, yellow, and purple counters. The probability of randomly selecting a red counter is 2/5 and the probability of selecting a yellow counter is 1/4. A student claims: 'There must be at least 20 counters in the bag for these probabilities to both be possible at the same time.' Is the student correct, and why?

Bought for $50, sold for $65. Percentage profit?

A rectangular piece of cardboard is 12 cm by 8 cm. Squares of side length 2 cm are cut from each corner and the sides are folded up to make an open box. What is the volume of the box?

A class has 25 students. Each student studies either French or Japanese or both. 14 students study French and 16 students study Japanese. A student is chosen at random. What is the probability that the student studies BOTH French and Japanese?

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 narrator in a short story repeatedly describes a character called Mr Holt as 'generous' and 'kind', but every scene shows him demanding favours in return for help and ignoring people who cannot benefit him. What technique is the author using, and what is its most likely purpose?

A novel's first-person narrator describes a market as 'vibrant and alive', but every specific detail she gives — wilting flowers, a vendor asleep at his stall, a puddle of rotting fruit — contradicts this. What is the author most likely achieving through this technique?

Which is correct?

Read this passage, then answer the question. "Declan had told everyone he did not care whether he got the lead role in the play. When the cast list went up, he arrived at the noticeboard last, walking slowly, looking at his phone. He glanced at the list once, nodded, and walked away. At lunch he sat alone and ate nothing." The passage does not directly state how Declan feels about the cast list result. What does the sequence of his actions most strongly imply?

A student writes this paragraph in a persuasive essay: 'Many scientists agree that reducing plastic use is important. However, plastic is cheap and easy to produce. Therefore, we should all use less plastic.' A teacher says the paragraph has a structural logic problem. Which statement BEST identifies the flaw?

Two newspaper headlines report the same event — a student walkout at a school: Headline 1: 'Students Walk Out in Passionate Protest' Headline 2: 'Pupils Skip Class in Defiant Stunt' Which technique most reveals Headline 2's negative bias, and how?

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?

Read this passage: 'The trophy sat on the shelf for twenty years, gathering dust. Marcus never spoke about the race. Visitors sometimes pointed to it and he would change the subject, offer tea, move to another room.' A student interprets this passage as follows: 'The author uses repetition of Marcus's avoidance to suggest the trophy represents guilt rather than pride.' Another student says: 'This interpretation is wrong because the text never uses the word guilt, so you cannot say that.' Which response best evaluates whether the first student's interpretation is valid?

Read these two short texts about the same school funding policy: Text 1 (newspaper editorial): 'The government's decision to redirect school funding to regional areas is a courageous act of fairness, finally addressing decades of neglect.' Text 2 (parent group newsletter): 'The government's sudden funding cuts have left metropolitan schools scrambling, with programs axed and class sizes ballooning.' A student says: 'Text 2 is more biased than Text 1 because it uses emotional words like scrambling and axed.' What is the most significant flaw in this student's analysis?

During a class presentation, Olivia says: 'Some people think solar panels are too expensive, and that's a fair point — but new data shows the cost has dropped by sixty per cent in ten years.' Which strategy is Olivia using, and why is it more effective than simply ignoring the opposing view?

Read this sentence: 'The scientist, whose findings challenged decades of research, was quietly discredited by the institution.' Which grammatical feature most shapes how the reader responds to the scientist?

A student drafts this body paragraph for a persuasive essay arguing against homework: 'Teachers assign homework to help students learn. But students who do homework late at night are too tired to learn in class the next day. So homework actually stops students from learning.' What type of reasoning error, if any, is present in this argument?

Read this passage. "Every summer, Nadia's family drove to the same campsite by the lake. Her parents called it 'the perfect escape.' This year, Nadia sat in the back seat scrolling through her phone, barely glancing at the eucalyptus trees sliding past the window. When they arrived, her mother breathed in deeply and said, 'Smell that!' Nadia looked up and, for just a moment, she saw the light hitting the water exactly the way she remembered." What does the final sentence most likely suggest about Nadia?

Read this passage. "Tomas had not told his mother about the school camp permission slip. It sat in his bag for three weeks, folded and refolded along the same crease. The deadline passed on a Thursday. On Friday morning, Tomas arrived early and offered to stack chairs for his teacher without being asked." A student claims: 'Tomas is trying to be helpful because he wants to be a better person.' Which response best evaluates this claim?

A student knows that 'magic' becomes 'magician' and 'music' becomes 'musician'. She applies the same pattern to write 'electrician' for someone who works with electricity. Her friend says the base word for 'electrician' is NOT 'electric' — it is 'electricity', with the '-ity' removed before adding '-an'. Which statement correctly evaluates BOTH claims?