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NSW Selective Test Mock Test
A timed 25-question mock for the NSW Selective High School Placement Test covering percentages, number system & simplification, logical reasoning, vocabulary & idioms. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
NSW Selective Test mock test
25 questions · 1 mark each · the timer starts with your first answer and the test submits itself when time runs out.
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Q1.PercentagesTwo successive discounts of 15% and 5% are equivalent to a single discount of:
Answer: B — 19.25%
Net discount = a + b − ab/100 = 15 + 5 − 15×5/100 = 19.25%.
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Q2.Number System & SimplificationFind the next number in the series: 8, 10, 14, 20, 28, ?
Answer: A — 38
Differences are 2, 4, 6, 8 → next difference 10.
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Q3.Logical ReasoningRavi walks 8 m north, turns right and walks 9 m, then turns right again and walks 2 m. How far is he from the start?
Answer: C — 10.82 m
Net: 6 m north and 9 m east. Distance = √(6² + 9²) = 10.82 m.
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Q4.Vocabulary & IdiomsChoose the synonym of RESILIENT.
Answer: D — Tough
Resilient means able to recover quickly from difficulty.
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Q5.PercentagesThe price of an item changes from $150 to $180. What is the percentage change?
Answer: D — 20% increase
Change = 30 on a base of 150: 30/150 × 100 = 20% increase. Always divide by the ORIGINAL value.
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Q6.Number System & SimplificationFind the HCF of 45 and 81.
Answer: B — 9
HCF(45, 81) = 9. Check: HCF × LCM = 9 × 405 = 3645 = product of the numbers.
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Q7.Logical ReasoningWhich number is the odd one out: 27, 53, 55, 63?
Answer: C — 53
27, 63, 55 are composite; 53 is prime.
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Q8.Vocabulary & IdiomsChoose the synonym of UBIQUITOUS.
Answer: A — Everywhere
Ubiquitous means present or found everywhere.
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Q9.PercentagesWhat is 60% of 240?
Answer: A — 144
60% of 240 = 60/100 × 240 = 144.
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Q10.Number System & SimplificationFind the next number in the series: 24, 38, 52, 66, 80, ?
Answer: D — 94
Each term increases by 14.
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Q11.Logical ReasoningFind the next letter: I, L, O, R, ?
Answer: D — U
The letters advance by 3 each time (skip 2).
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Q12.Vocabulary & IdiomsOne word for: A list of books referred to in a scholarly work.
Answer: B — Bibliography
A bibliography lists the sources consulted.
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Q13.PercentagesThe price of an item changes from $825 to $1,155. What is the percentage change?
Answer: D — 40% increase
Change = 330 on a base of 825: 330/825 × 100 = 40% increase. Always divide by the ORIGINAL value.
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Q14.Number System & SimplificationFind the next number in the series: 4, 6, 10, 16, 24, ?
Answer: B — 34
Differences are 2, 4, 6, 8 → next difference 10.
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Q15.Logical ReasoningIf MILK is coded as NJML, how is CAT coded?
Answer: D — DBU
Each letter moves 1 place forward in the alphabet (MILK → NJML), so CAT → DBU.
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Q16.Vocabulary & IdiomsChoose the word closest in meaning to CORROBORATE.
Answer: A — Confirm
Corroborate means confirm or give support to a statement.
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Q17.PercentagesThe price of an item changes from $650 to $845. What is the percentage change?
Answer: D — 30% increase
Change = 195 on a base of 650: 195/650 × 100 = 30% increase. Always divide by the ORIGINAL value.
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Q18.Number System & SimplificationFind the next number in the series: 5, 10, 20, 40, 80, ?
Answer: A — 160
Each term is multiplied by 2.
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Q19.Logical ReasoningRavi walks 10 m north, turns right and walks 7 m, then turns right again and walks 1 m. How far is he from the start?
Answer: A — 11.4 m
Net: 9 m north and 7 m east. Distance = √(9² + 7²) = 11.4 m.
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Q20.Vocabulary & IdiomsChoose the word closest in meaning to ENIGMATIC.
Answer: A — Mysterious
Enigmatic means difficult to interpret — mysterious.
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Q21.PercentagesWhat is 35% of 780?
Answer: D — 273
35% of 780 = 35/100 × 780 = 273.
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Q22.Number System & SimplificationFind the next number in the series: 12, 19, 26, 33, 40, ?
Answer: C — 47
Each term increases by 7.
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Q23.Logical ReasoningIf DOG is coded as EPH, how is BOOK coded?
Answer: D — CPPL
Each letter moves 1 place forward in the alphabet (DOG → EPH), so BOOK → CPPL.
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Q24.Vocabulary & IdiomsChoose the synonym of ABUNDANT.
Answer: C — Plentiful
Abundant means existing in large quantities — plentiful.
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Q25.PercentagesThe price of an item changes from $625 to $562.5. What is the percentage change?
Answer: C — 10% decrease
Change = -62.5 on a base of 625: -62.5/625 × 100 = 10% decrease. Always divide by the ORIGINAL value.
How the mock test works
- The timer starts with your first answer; the test submits itself when time runs out.
- Choose the negative marking that matches your exam (this test has no negative marking by default — check the official notification).
- After submitting you get your score, accuracy, time taken and a topic-wise breakdown, then every explanation.
- “New mock test” builds another paper — calculation questions get new numbers.
About NSW Selective Test
NSW Selective High School Placement Test — conducted by NSW Department of Education. Placement test for selective high schools in New South Wales: reading, maths, thinking skills and writing.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
NSW Selective Test practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Number System & Simplification | Quantitative aptitude | Calculated (new numbers every set) |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| Vocabulary & Idioms | English | Question bank |