Sample Questions

PSAT Sample Questions

6 practice questions with complete answer explanations.

Sample Questions

Question 1words-in-context

The scientist's conclusions about the fossils were considered ______ because they contradicted decades of established research. Which choice completes the text with the most logical and precise word?

A.groundbreaking

B.controversial✓ Correct

C.mundane

D.supplemental

Explanation

Contradicting established research makes findings 'controversial'. 'Groundbreaking' is positive-leaning and weaker here.

Question 2expression

Which choice best maintains the passage's formal tone? Original: 'The experiment's results were pretty weird.'

A.kinda strange

B.unexpected and intriguing✓ Correct

C.crazy cool

D.sorta confusing

Explanation

Formal tone requires precise, academic vocabulary.

Question 3linear-equations

If 3x − 7 = 2x + 5, what is the value of x?

A.−12

B.−2

C.12✓ Correct

D.2

Explanation

3x − 2x = 5 + 7, so x = 12.

Question 4percentages

A shirt costs $30 after a 25% discount. What was the original price?

A.$37.50

B.$40✓ Correct

C.$45

D.$50

Explanation

$30 = 0.75 × original, so original = $40.

Question 5linear-equations

The line y = 2x + 5 passes through which point?

A.(1, 7)✓ Correct

B.(2, 8)

C.(3, 10)

D.(4, 12)

Explanation

Plug x = 1: y = 2(1) + 5 = 7. ✓

Question 6probability

A box contains 3 red and 5 blue marbles. The probability of drawing a red marble?

A.3/5

B.3/8✓ Correct

C.5/8

D.1/3

Explanation

3 red / 8 total = 3/8.

Test-Taking Tips

1.Practice on the official Bluebook app so you're comfortable with the digital interface.
2.Learn Desmos inside out — it's faster than a handheld calculator once you know it.
3.Review algebra fundamentals first — they're ~35% of Math.
4.Read a variety of non-fiction to boost R&W speed.
5.Take 1–2 full-length practice tests in the 6 weeks before the PSAT.

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