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SAT Mock Test
A timed 25-question mock for the SAT (Digital) covering algebra, geometry & mensuration, percentages, averages & statistics, english grammar, vocabulary & idioms. Answer, submit and review every question with its explanation; set negative marking to match your exam’s current scheme.
SAT 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.AlgebraSolve: 3x + 3y = 30 and 5x + 4y = 39
Answer: B — x = -1, y = 11
Elimination/substitution gives x = -1, y = 11. Check: 3(-1) + 3(11) = 30 ✓ and 5(-1) + 4(11) = 39 ✓.
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Q2.Geometry & MensurationFind the distance between (2, 2) and (5, 6).
Answer: A — 5
Distance = √((Δx)² + (Δy)²) = √(3² + 4²) = 5.
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Q3.PercentagesTwo successive discounts of 30% and 10% are equivalent to a single discount of:
Answer: D — 37%
Net discount = a + b − ab/100 = 30 + 10 − 30×10/100 = 37%.
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Q4.Averages & StatisticsFind the median of: 14, 25, 4, 24, 14, 6, 17
Answer: C — 14
Sorted: 4, 6, 14, 14, 17, 24, 25. The middle (4th) value is 14.
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Q5.English GrammarChoose the correct option: If I ___ you, I would accept the offer.
Answer: C — were
The subjunctive “were” is used in hypothetical conditions: “If I were you…”.
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Q6.Vocabulary & IdiomsMeaning of the idiom “once in a blue moon”.
Answer: C — Very rarely
It means very rarely.
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Q7.AlgebraFind log₂ 4.
Answer: A — 2
log_2(4) asks “2 to what power gives 4?” → 2^2 = 4, so the answer is 2.
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Q8.Geometry & MensurationFind the volume of a sphere of radius 5 cm.
Answer: C — 523.6 cm³
Using (4/3)πr³ with π = 3.1416: 523.6 cm³.
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Q9.PercentagesWhat is 60% of 880?
Answer: A — 528
60% of 880 = 60/100 × 880 = 528.
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Q10.Averages & StatisticsFind the median of: 34, 39, 17, 19, 6, 9, 19
Answer: A — 19
Sorted: 6, 9, 17, 19, 19, 34, 39. The middle (4th) value is 19.
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Q11.English GrammarChoose the correct comparative: This road is ___ than that one.
Answer: C — narrower
Two-syllable adjectives ending in -ow usually take -er: “narrower”.
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Q12.Vocabulary & IdiomsChoose the antonym of FRUGAL.
Answer: D — Extravagant
Frugal = sparing with money; extravagant = spending excessively.
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Q13.AlgebraFind the sum of the first 13 terms of the AP 8, 13, 18, …
Answer: C — 494
Sₙ = n/2 × [2a + (n − 1)d] = 13/2 × [16 + 60] = 494.
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Q14.Geometry & MensurationA right triangle has legs 8 cm and 15 cm. Find the hypotenuse.
Answer: C — 17 cm
By Pythagoras, hypotenuse = √(8² + 15²) = √289 = 17.
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Q15.PercentagesWhat is 20% of 940?
Answer: B — 188
20% of 940 = 20/100 × 940 = 188.
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Q16.Averages & StatisticsFind the median of: 30, 30, 13, 2, 23, 2, 23
Answer: B — 23
Sorted: 2, 2, 13, 23, 23, 30, 30. The middle (4th) value is 23.
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Q17.English GrammarIdentify the correct sentence.
Answer: A — He and I went to the market.
Subject pronouns (he, I) are needed for the subject of the verb.
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Q18.Vocabulary & IdiomsChoose the antonym of CANDOUR.
Answer: D — Deceit
Candour = openness and honesty; deceit is its opposite.
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Q19.AlgebraSolve: x² − 16x + 63 = 0
Answer: B — 7, 9
Find two roots with sum 16 and product 63: 9 and 7. So x² − 16x + 63 = (x − 9)(x − 7) = 0.
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Q20.Geometry & MensurationFind the area of a circle of radius 10 cm.
Answer: A — 314.16 cm²
Using πr² with π = 3.1416: 314.16 cm².
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Q21.PercentagesWhat is 40% of 400?
Answer: C — 160
40% of 400 = 40/100 × 400 = 160.
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Q22.Averages & StatisticsFind the median of: 6, 38, 24, 39, 11, 19, 20
Answer: D — 20
Sorted: 6, 11, 19, 20, 24, 38, 39. The middle (4th) value is 20.
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Q23.English GrammarChoose the correct option: The committee ___ divided in their opinions.
Answer: D — were
When members of a collective noun act individually (divided opinions), a plural verb is used: “were”.
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Q24.Vocabulary & IdiomsMeaning of the idiom “to burn the midnight oil”.
Answer: C — To work late into the night
It means to work or study late at night.
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Q25.AlgebraFind log₃ 243.
Answer: B — 5
log_3(243) asks “3 to what power gives 243?” → 3^5 = 243, so the answer is 5.
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 SAT
SAT (Digital) — conducted by College Board. The US college admission test with Reading & Writing and Math sections, now delivered digitally.
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.
SAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Averages & Statistics | Quantitative aptitude | Calculated (new numbers every set) |
| English Grammar | English | Question bank |
| Vocabulary & Idioms | English | Question bank |