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ISEE Practice Questions
Original practice questions for the Independent School Entrance Exam (Educational Records Bureau (ERB)), mixed across 4 topics with instant answers and explanations. Practise by topic below or take the timed mock test.
ISEE mixed practice
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Q1.Vocabulary & IdiomsChoose the antonym of OBSCURE.
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Answer: C — Clear
Obscure = not clearly expressed or known; the opposite is clear.
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Q2.AlgebraFind the sum of the first 28 terms of the AP 3, 7, 11, …
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Answer: B — 1596
Sₙ = n/2 × [2a + (n − 1)d] = 28/2 × [6 + 108] = 1,596.
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Q3.Geometry & MensurationFind the distance between (0, -1) and (6, 7).
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Answer: A — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
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Q4.PercentagesTwo successive discounts of 10% and 15% are equivalent to a single discount of:
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Answer: C — 23.5%
Net discount = a + b − ab/100 = 10 + 15 − 10×15/100 = 23.5%.
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Q5.Vocabulary & IdiomsChoose the synonym of RESILIENT.
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Answer: C — Tough
Resilient means able to recover quickly from difficulty.
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Q6.AlgebraFind the sum of the first 8 terms of the AP 9, 10, 11, …
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Answer: B — 100
Sₙ = n/2 × [2a + (n − 1)d] = 8/2 × [18 + 7] = 100.
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Q7.Geometry & MensurationFind the area of a right triangle with legs 3 cm and 4 cm.
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Answer: C — 6 cm²
Area = ½ × base × height = ½ × 3 × 4 = 6 cm².
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Q8.PercentagesWhat is 60% of 380?
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Answer: A — 228
60% of 380 = 60/100 × 380 = 228.
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Q9.Vocabulary & IdiomsOne word for: Fear of heights.
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Answer: C — Acrophobia
Acrophobia is an extreme fear of heights.
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Q10.AlgebraFind the sum of the first 29 terms of the AP 2, 10, 18, …
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Answer: B — 3306
Sₙ = n/2 × [2a + (n − 1)d] = 29/2 × [4 + 224] = 3,306.
About ISEE
Independent School Entrance Exam — conducted by Educational Records Bureau (ERB). Admission test for independent schools with verbal and quantitative reasoning sections.
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
- Vocabulary & Idioms questions — Learn words in synonym/antonym pairs and by roots (bene = good, mal = bad, chron = time).
- Algebra questions — Factorise quadratics by finding two numbers with the right sum and product; check roots by substitution.
- Geometry & Mensuration questions — Memorise core formulas (circle πr², triangle ½bh, Pythagoras, distance √((x₂−x₁)² + (y₂−y₁)²)).
- 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.
- ISEE mock test — 25 timed questions.
ISEE practice topics
| Topic | Section | Question source |
|---|---|---|
| Vocabulary & Idioms | English | Question bank |
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |