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NSW Selective Test Practice Questions
Original practice questions for the NSW Selective High School Placement Test (NSW Department of Education), mixed across 4 topics with instant answers and explanations. Practise by topic below or take the timed mock test.
NSW Selective Test mixed practice
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Q1.PercentagesWhat is 5% of 560?
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Answer: A — 28
5% of 560 = 5/100 × 560 = 28.
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Q2.Number System & SimplificationSimplify: 80 + 12 × 6 − 12
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Answer: C — 140
BODMAS: multiply first — 12 × 6 = 72; then 80 + 72 − 12 = 140.
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Q3.Logical ReasoningWhich number is the odd one out: 17, 33, 57, 69?
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Answer: A — 17
69, 33, 57 are composite; 17 is prime.
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Q4.Vocabulary & IdiomsChoose the word closest in meaning to ENIGMATIC.
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Answer: B — Mysterious
Enigmatic means difficult to interpret — mysterious.
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Q5.PercentagesThe price of an item changes from $600 to $675. What is the percentage change?
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Answer: B — 12.5% increase
Change = 75 on a base of 600: 75/600 × 100 = 12.5% increase. Always divide by the ORIGINAL value.
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Q6.Number System & SimplificationSimplify: 31 + 4 × 5 − 10
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Answer: D — 41
BODMAS: multiply first — 4 × 5 = 20; then 31 + 20 − 10 = 41.
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Q7.Logical ReasoningWhat is the angle between the hour and minute hands of a clock at 11:10?
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Answer: A — 85°
Angle = |30H − 5.5M| = |30×11 − 5.5×10| = 275°; the smaller angle is 360 − that = 85°.
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Q8.Vocabulary & IdiomsChoose the synonym of EPHEMERAL.
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Answer: B — Short-lived
Ephemeral means lasting a very short time.
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Q9.PercentagesThe price of an item changes from $700 to $875. What is the percentage change?
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Answer: B — 25% increase
Change = 175 on a base of 700: 175/700 × 100 = 25% increase. Always divide by the ORIGINAL value.
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Q10.Number System & SimplificationWhat is √1,369?
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Answer: D — 37
37 × 37 = 1369, so √1369 = 37.
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.
Practise by topic
- Percentages questions — Convert percentages to fractions you know by heart (12.5% = 1/8, 37.5% = 3/8, 16.67% = 1/6) and always divide a change by the ORIGINAL value.
- Number System & Simplification questions — Learn squares to 30 and cubes to 15, apply BODMAS strictly, and use HCF × LCM = product of two numbers.
- Logical Reasoning questions — For coding questions write the letter positions (A = 1 … Z = 26).
- Vocabulary & Idioms questions — Learn words in synonym/antonym pairs and by roots (bene = good, mal = bad, chron = time).
- NSW Selective Test mock test — 25 timed questions.
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 |