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NSW Selective Test Percentages Questions
Practise percentages (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.
Percentages practice
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Q1.Two successive discounts of 10% and 12% are equivalent to a single discount of:
Show answer & explanation
Answer: A — 20.8%
Net discount = a + b − ab/100 = 10 + 12 − 10×12/100 = 20.8%.
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Q2.What is 75% of 280?
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Answer: B — 210
75% of 280 = 75/100 × 280 = 210.
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Q3.The price of an item changes from $975 to $897. What is the percentage change?
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Answer: A — 8% decrease
Change = -78 on a base of 975: -78/975 × 100 = 8% decrease. Always divide by the ORIGINAL value.
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Q4.What is 20% of 900?
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Answer: C — 180
20% of 900 = 20/100 × 900 = 180.
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Q5.The price of an item changes from $925 to $1,110. What is the percentage change?
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Answer: B — 20% increase
Change = 185 on a base of 925: 185/925 × 100 = 20% increase. Always divide by the ORIGINAL value.
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Q6.What is 35% of 360?
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Answer: B — 126
35% of 360 = 35/100 × 360 = 126.
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Q7.Two successive discounts of 10% and 5% are equivalent to a single discount of:
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Answer: B — 14.5%
Net discount = a + b − ab/100 = 10 + 5 − 10×5/100 = 14.5%.
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Q8.Two successive discounts of 15% and 12% are equivalent to a single discount of:
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Answer: A — 25.2%
Net discount = a + b − ab/100 = 15 + 12 − 15×12/100 = 25.2%.
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Q9.What is 5% of 660?
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Answer: D — 33
5% of 660 = 5/100 × 660 = 33.
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Q10.Two successive discounts of 20% and 20% are equivalent to a single discount of:
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Answer: B — 36%
Net discount = a + b − ab/100 = 20 + 20 − 20×20/100 = 36%.
How to approach 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. Two successive changes of a% and b% combine to a + b + ab/100.
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 |