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ISEE Mock Test
A timed 25-question mock for the Independent School Entrance Exam covering vocabulary & idioms, algebra, geometry & mensuration, percentages. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
ISEE mock test
25 questions · 1 mark each · the timer starts with your first answer and the test submits itself when time runs out.
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Q1.Vocabulary & IdiomsChoose the antonym of OPTIMISTIC.
Answer: D — Pessimistic
Optimistic = expecting good outcomes; pessimistic = expecting the worst.
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Q2.AlgebraSolve: 4x + 5y = 28 and 5x + 2y = 52
Answer: B — x = 12, y = -4
Elimination/substitution gives x = 12, y = -4. Check: 4(12) + 5(-4) = 28 ✓ and 5(12) + 2(-4) = 52 ✓.
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Q3.Geometry & MensurationFind the area of a right triangle with legs 6 cm and 8 cm.
Answer: D — 24 cm²
Area = ½ × base × height = ½ × 6 × 8 = 24 cm².
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Q4.PercentagesWhat is 20% of 260?
Answer: D — 52
20% of 260 = 20/100 × 260 = 52.
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Q5.Vocabulary & IdiomsOne word for: A person who can speak many languages.
Answer: B — Polyglot
A polyglot knows and uses several languages.
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Q6.AlgebraFind log₂ 32.
Answer: A — 5
log_2(32) asks “2 to what power gives 32?” → 2^5 = 32, so the answer is 5.
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Q7.Geometry & MensurationFind the area of a right triangle with legs 3 cm and 4 cm.
Answer: A — 6 cm²
Area = ½ × base × height = ½ × 3 × 4 = 6 cm².
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Q8.PercentagesTwo successive discounts of 30% and 12% are equivalent to a single discount of:
Answer: D — 38.4%
Net discount = a + b − ab/100 = 30 + 12 − 30×12/100 = 38.4%.
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Q9.Vocabulary & IdiomsChoose the synonym of UBIQUITOUS.
Answer: A — Everywhere
Ubiquitous means present or found everywhere.
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Q10.AlgebraFind the sum of the first 9 terms of the AP 14, 19, 24, …
Answer: B — 306
Sₙ = n/2 × [2a + (n − 1)d] = 9/2 × [28 + 40] = 306.
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Q11.Geometry & MensurationFind the volume of a sphere of radius 5 cm.
Answer: B — 523.6 cm³
Using (4/3)πr³ with π = 3.1416: 523.6 cm³.
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Q12.PercentagesTwo successive discounts of 30% and 15% are equivalent to a single discount of:
Answer: A — 40.5%
Net discount = a + b − ab/100 = 30 + 15 − 30×15/100 = 40.5%.
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Q13.Vocabulary & IdiomsChoose the correctly spelt word.
Answer: D — Occurrence
Occurrence: double c, double r, -ence.
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Q14.AlgebraFind the sum of the first 13 terms of the AP 19, 26, 33, …
Answer: C — 793
Sₙ = n/2 × [2a + (n − 1)d] = 13/2 × [38 + 84] = 793.
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Q15.Geometry & MensurationFind the area of a right triangle with legs 20 cm and 21 cm.
Answer: B — 210 cm²
Area = ½ × base × height = ½ × 20 × 21 = 210 cm².
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Q16.PercentagesWhat is 20% of 220?
Answer: D — 44
20% of 220 = 20/100 × 220 = 44.
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Q17.Vocabulary & IdiomsChoose the antonym of SCARCITY.
Answer: D — Abundance
Scarcity = shortage; abundance = plenty.
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Q18.AlgebraSolve: x + 5y = 5 and 4x + 2y = 2
Answer: A — x = 0, y = 1
Elimination/substitution gives x = 0, y = 1. Check: 1(0) + 5(1) = 5 ✓ and 4(0) + 2(1) = 2 ✓.
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Q19.Geometry & MensurationFind the volume of a cylinder with radius 4 cm and height 8 cm.
Answer: B — 402.12 cm³
Using πr²h with π = 3.1416: 402.12 cm³.
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Q20.Vocabulary & IdiomsChoose the synonym of PRUDENT.
Answer: D — Wise
Prudent means acting with care and good judgement.
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Q21.AlgebraFind the sum of the first 13 terms of the AP 2, 5, 8, …
Answer: B — 260
Sₙ = n/2 × [2a + (n − 1)d] = 13/2 × [4 + 36] = 260.
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Q22.Geometry & MensurationA right triangle has legs 7 cm and 24 cm. Find the hypotenuse.
Answer: C — 25 cm
By Pythagoras, hypotenuse = √(7² + 24²) = √625 = 25.
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Q23.PercentagesThe price of an item changes from $850 to $595. What is the percentage change?
Answer: B — 30% decrease
Change = -255 on a base of 850: -255/850 × 100 = 30% decrease. Always divide by the ORIGINAL value.
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Q24.Vocabulary & IdiomsChoose the word closest in meaning to ENIGMATIC.
Answer: B — Mysterious
Enigmatic means difficult to interpret — mysterious.
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Q25.AlgebraSolve: x² − 6x + 9 = 0
Answer: A — 3, 3
Find two roots with sum 6 and product 9: 3 and 3. So x² − 6x + 9 = (x − 3)(x − 3) = 0.
How the mock test works
- The timer starts with your first answer; the test submits itself when time runs out.
- Choose the negative marking that matches your exam (this test has no negative marking by default — check the official notification).
- After submitting you get your score, accuracy, time taken and a topic-wise breakdown, then every explanation.
- “New mock test” builds another paper — calculation questions get new numbers.
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.
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) |