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11+ Exam Percentages Questions
Practise percentages (quantitative aptitude) for the UK 11+ (Eleven Plus) Grammar School Entrance: 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 30% and 12% are equivalent to a single discount of:
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Answer: C — 38.4%
Net discount = a + b − ab/100 = 30 + 12 − 30×12/100 = 38.4%.
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Q2.What is 45% of 120?
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Answer: B — 54
45% of 120 = 45/100 × 120 = 54.
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Q3.The price of an item changes from £950 to £665. What is the percentage change?
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Answer: D — 30% decrease
Change = -285 on a base of 950: -285/950 × 100 = 30% decrease. Always divide by the ORIGINAL value.
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Q4.Two successive discounts of 30% and 20% are equivalent to a single discount of:
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Answer: D — 44%
Net discount = a + b − ab/100 = 30 + 20 − 30×20/100 = 44%.
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Q5.What is 45% of 180?
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Answer: B — 81
45% of 180 = 45/100 × 180 = 81.
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Q6.The price of an item changes from £750 to £862.5. What is the percentage change?
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Answer: C — 15% increase
Change = 112.5 on a base of 750: 112.5/750 × 100 = 15% increase. Always divide by the ORIGINAL value.
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Q7.The price of an item changes from £275 to £343.75. What is the percentage change?
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Answer: C — 25% increase
Change = 68.75 on a base of 275: 68.75/275 × 100 = 25% increase. Always divide by the ORIGINAL value.
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Q8.What is 18% of 960?
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Answer: D — 172.8
18% of 960 = 18/100 × 960 = 172.8.
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Q9.The price of an item changes from £175 to £218.75. What is the percentage change?
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Answer: C — 25% increase
Change = 43.75 on a base of 175: 43.75/175 × 100 = 25% increase. Always divide by the ORIGINAL value.
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Q10.What is 18% of 760?
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Answer: A — 136.8
18% of 760 = 18/100 × 760 = 136.8.
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 11+ Exam
UK 11+ (Eleven Plus) Grammar School Entrance — conducted by Set by individual grammar schools and consortia. Selective school entrance taken in Year 6, typically covering maths, English, verbal and non-verbal reasoning.
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.
11+ Exam practice topics
| Topic | Section | Question source |
|---|---|---|
| Number System & Simplification | Quantitative aptitude | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Verbal Reasoning & Analogies | Reasoning | Calculated + question bank |
| Vocabulary & Idioms | English | Question bank |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |