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SAT Practice Questions
Original practice questions for the SAT (Digital) (College Board), mixed across 6 topics with instant answers and explanations. Practise by topic below or take the timed mock test.
SAT mixed practice
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Q1.AlgebraFind log₅ 25.
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Answer: D — 2
log_5(25) asks “5 to what power gives 25?” → 5^2 = 25, so the answer is 2.
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Q2.Geometry & MensurationA right triangle has legs 6 cm and 8 cm. Find the hypotenuse.
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Answer: D — 10 cm
By Pythagoras, hypotenuse = √(6² + 8²) = √100 = 10.
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Q3.PercentagesThe price of an item changes from $500 to $575. What is the percentage change?
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Answer: C — 15% increase
Change = 75 on a base of 500: 75/500 × 100 = 15% increase. Always divide by the ORIGINAL value.
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Q4.Averages & StatisticsFind the range of: 31, 30, 34, 30, 21, 35, 25
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Answer: D — 14
Range = max − min = 35 − 21 = 14.
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Q5.English GrammarChoose the word that fits: The news ___ surprising.
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Answer: D — is
“News” is an uncountable noun and takes a singular verb.
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Q6.Vocabulary & IdiomsChoose the word closest in meaning to ENIGMATIC.
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Answer: C — Mysterious
Enigmatic means difficult to interpret — mysterious.
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Q7.AlgebraFind log 1,000,000 (base 10).
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Answer: C — 6
log_10(1000000) asks “10 to what power gives 1000000?” → 10^6 = 1000000, so the answer is 6.
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Q8.Geometry & MensurationA right triangle has legs 7 cm and 24 cm. Find the hypotenuse.
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Answer: C — 25 cm
By Pythagoras, hypotenuse = √(7² + 24²) = √625 = 25.
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Q9.PercentagesTwo successive discounts of 25% and 10% are equivalent to a single discount of:
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Answer: C — 32.5%
Net discount = a + b − ab/100 = 25 + 10 − 25×10/100 = 32.5%.
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Q10.Averages & StatisticsThe average of 10 numbers is 44. If 58 is added, what is the new average?
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Answer: B — 45.27
Old total = 10 × 44 = 440. New total = 440 + 58 = 498; new average = 498/11 = 45.27.
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.
Practise by topic
- 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.
- Averages & Statistics questions — Average × count = total: most average questions are really about totals.
- English Grammar questions — Find the subject first and make the verb agree with it, ignoring phrases in between.
- Vocabulary & Idioms questions — Learn words in synonym/antonym pairs and by roots (bene = good, mal = bad, chron = time).
- SAT mock test — 25 timed questions.
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 |