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NSW Selective Test Number System & Simplification Questions
Practise number system & simplification (quantitative aptitude) for the NSW Selective High School Placement Test: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Number System & Simplification practice
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Q1.What is √2,500?
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Answer: A — 50
50 × 50 = 2500, so √2500 = 50.
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Q2.Simplify: 74 + 11 × 9 − 2
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Answer: D — 171
BODMAS: multiply first — 11 × 9 = 99; then 74 + 99 − 2 = 171.
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Q3.What is √2,704?
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Answer: D — 52
52 × 52 = 2704, so √2704 = 52.
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Q4.Find the LCM of 72 and 72.
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Answer: D — 72
LCM(72, 72) = 72. Check: HCF × LCM = 72 × 72 = 5184 = product of the numbers.
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Q5.What is √729?
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Answer: B — 27
27 × 27 = 729, so √729 = 27.
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Q6.What is √2,209?
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Answer: C — 47
47 × 47 = 2209, so √2209 = 47.
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Q7.Simplify: 71 + 6 × 5 − 40
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Answer: D — 61
BODMAS: multiply first — 6 × 5 = 30; then 71 + 30 − 40 = 61.
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Q8.Find the LCM of 42 and 30.
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Answer: A — 210
LCM(42, 30) = 210. Check: HCF × LCM = 6 × 210 = 1260 = product of the numbers.
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Q9.Find the next number in the series: 22, 31, 40, 49, 58, ?
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Answer: C — 67
Each term increases by 9.
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Q10.Simplify: 81 + 6 × 6 − 20
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Answer: B — 97
BODMAS: multiply first — 6 × 6 = 36; then 81 + 36 − 20 = 97.
How to approach number system & simplification questions
Learn squares to 30 and cubes to 15, apply BODMAS strictly, and use HCF × LCM = product of two numbers. For series, check the differences first, then the ratios.
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 |