Free Scholarship Practice Test — 30 Questions, 25 Minutes, Instant Results

Jake says: 'If I add two negative integers, the answer is always less than if I multiply the same two integers.' Is Jake correct, and why?

A cylinder has a volume of 502.4 cm³ and a height of 10 cm. Using π ≈ 3.14, what is the radius of the cylinder?

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?

Two friends save money each week. Aisha starts with $80 and saves $15 per week. Ben starts with $20 and saves $25 per week. After how many weeks will Ben have MORE money than Aisha for the FIRST time?

Mia says: 'If I add the same positive number to both the numerator and denominator of the fraction 3/7, the resulting fraction will always be greater than 3/7.' Is Mia correct? Which of the following best justifies the answer?

A school buys red and blue pens in the ratio 4 : 3. After the teacher gives away 12 red pens, the ratio of red pens to blue pens becomes 1 : 1. How many blue pens did the school buy?

Which of the following is true for ALL integer values of n? (i) n² ≥ 0 (ii) −n < n (iii) n + (−n) = 0 (iv) n² > n

The length of a rectangle is (2w + 3) cm and its width is w cm. Its perimeter is 54 cm. A student claims the area of the rectangle is 171 cm². Is the student correct?

A right-angled triangle has a hypotenuse of 17 cm and one leg of 8 cm. A student says the other leg is √(17² + 8²) = √353 ≈ 18.8 cm. What mistake did the student make, and what is the correct length of the missing leg?

A farmer has chickens and sheep. There are 4 more chickens than sheep. The total number of legs (chickens have 2 legs, sheep have 4 legs) is 56. How many sheep are on the farm?

The expression 4n + 2 gives the total number of tiles in a shape pattern, where n is the pattern number. Which pattern number first gives a total greater than 50 tiles?

Paint is mixed in the ratio red : white : blue = 1 : 4 : 5. A painter has exactly 600 mL of white paint and uses all of it. How many millilitres of blue paint are needed to keep the ratio correct?

The angles inside a quadrilateral are (2x)°, (2x)°, (x + 20)°, and (x + 40)°. What is the value of x?

In a class, 60% of students play sport and 3/4 of those who play sport also play a musical instrument. What fraction of the whole class plays both sport and a musical instrument?

The temperature in a city changes by the same amount each hour. At 6 am the temperature is −10°C. At 10 am it is 6°C. What is the temperature at noon?

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?

A student writes: 'After finishing her homework, the television was turned on by Maya.' A classmate says the sentence has two problems, not one. Which answer correctly identifies BOTH problems?

Read this passage. "The government's new transport plan was welcomed by business leaders, who said it would create jobs and reduce freight costs. Environmental groups, however, warned that the new motorway would cut through a protected wetland. The minister said the plan had undergone 'rigorous environmental assessment.' No independent review has been published." A student claims: 'This passage is balanced because it includes both positive and negative views.' Which response best evaluates that claim?

Two students write opening paragraphs for a persuasive speech about whether Australia should introduce a four-day school week. Student A: 'Did you know that students in countries with shorter school weeks often outperform their peers? It is time Australia considered this option too.' Student B: 'Imagine arriving at school on Monday knowing that by Thursday afternoon, you are free — not exhausted, not burnt out, but actually ready to learn again next week. The four-day school week is not a fantasy. In dozens of countries, it is simply Tuesday.' Which analysis most precisely explains why Student B's opening is more effective as a persuasive speech introduction?

Read this passage, then answer the question. "The documentary about urban wildlife opened with slow footage of a fox picking its way through rubbish bins at midnight, set to melancholy piano music. The narrator said: 'These animals have adapted — but at what cost?' Later, when showing community volunteers cleaning a local park, the soundtrack switched to bright, upbeat strings." What is the most likely purpose of the contrasting soundtracks in the documentary?

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?

A student wants to write a persuasive sentence that uses a concession to make the argument STRONGER. They write: 'Some people believe social media is harmful, but it can also connect communities and support mental health.' A classmate says the sentence is weak because admitting the other side makes the argument less convincing. Who is correct, and why?

Which correctly completes: 'Between you and ___, it's a secret.'?

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?

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: "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 is writing a text response about the novel 'The One and Only Ivan'. She writes this conclusion: "In conclusion, this essay has discussed Ivan's loneliness, his friendship with Ruby, and the theme of freedom. These are all important parts of the book." What is the main weakness of this conclusion?

A student is learning about words derived from the Latin root 'scrib'/'script' (meaning 'to write'). She writes these four sentences and underlines a word in each: 1. The doctor gave her a 'prescription' for the medicine. 2. The journalist wrote a 'manuscript' by hand. 3. The teacher asked them to 'transcribe' the passage. 4. The ancient carvings were an 'inscription' on the stone. She claims: 'Because the root means to write, the silent letters in these words all come from the same Latin root and must always be spelled -scr-.' A classmate challenges her, saying that 'manuscript' is different because its meaning comes from TWO Latin roots, and so the spelling rule she stated does not fully apply. Which option CORRECTLY evaluates both claims?

A student wants to persuade readers that school uniforms should be abolished. She writes: 'Uniforms crush creativity and make students miserable.' Which revision would make this argument MOST persuasive, and why?

Read this sentence: 'Having studied all night, the exam felt surprisingly manageable to Aiden.' A teacher marks this as containing a dangling modifier. Which version correctly repairs the error AND keeps the intended meaning that Aiden did the studying?