PSAT/NMSQT practice questions and exam guide

National Merit Semifinalist status is awarded to:

1. Every PSAT taker
2. Anyone with a perfect score
3. About 16,000 students nationally based on top Selection Index scores per state — leading to Finalist and Scholarship consideration through subsequent applications
4. Only students at private schools

Answer: C — About 16,000 students nationally based on top Selection Index scores per state — leading to Finalist and Scholarship consideration through subsequent applications

C) Defining standard. A/B/D) Each is incorrect.

PSAT Reading: Which transition best fits between contrasting ideas?

1. However (signals contrast/opposition)
2. Furthermore
3. Therefore
4. Similarly

Answer: A — However (signals contrast/opposition)

Transitions categorize by logical relationship. Contrast: however, nevertheless, on the other hand. Addition: furthermore, moreover, additionally. Cause/effect: therefore, thus, consequently. Comparison: similarly, likewise.

PSAT Writing: 'The committee, including the chairperson, ___ unanimous.' Best word:

1. are
2. be
3. were
4. is (singular subject 'committee' takes singular verb; intervening phrase doesn't change agreement)

Answer: D — is (singular subject 'committee' takes singular verb; intervening phrase doesn't change agreement)

Subject-verb agreement: identify the true subject ignoring prepositional/parenthetical phrases. 'The committee...is.' Phrase 'including the chairperson' adds detail but doesn't alter agreement.

A car travels 240 miles at constant speed in 4 hours. How long does it take to travel 360 miles at the same speed?

1. 4 hours
2. 5 hours
3. 6 hours
4. 8 hours

Answer: C — 6 hours

Speed = 240/4 = 60 mph. Time = 360/60 = 6 hours. Alternative: 360/240 = 1.5, so time scales by 1.5: 4 × 1.5 = 6 hours.

PSAT Reading: When a sentence asks 'the author would most likely consider X to be...', the test wants:

1. Your opinion
2. Dictionary definition only
3. Outside facts
4. An inference from the passage about how the author would evaluate X — consistent with author's tone and arguments

Answer: D — An inference from the passage about how the author would evaluate X — consistent with author's tone and arguments

Application question: extend the author's logic to new cases. Be careful — wrong choices often misstate the author's views slightly. Use textual evidence.

A class has 25 students. The mean score on a test is 80. What is the SUM of all scores?

1. 80
2. 800
3. 2,000
4. 4,000

Answer: C — 2,000

Mean = Sum / Number → Sum = Mean × Number = 80 × 25 = 2,000. Algebra: rearrange the mean formula. Trap A is the mean itself; D is double the answer.

Students can use PSAT results to:

1. Replace SAT scores for admission
2. Skip high school
3. Identify strengths and weaknesses, plan SAT preparation, qualify for National Merit, and access targeted college and scholarship outreach
4. Apply to graduate school

Answer: C — Identify strengths and weaknesses, plan SAT preparation, qualify for National Merit, and access targeted college and scholarship outreach

C) Standard uses. A/B/D) Each is incorrect.

PSAT Reading and Writing module passages cover:

1. Only literature
2. Only personal narratives
3. Short passages across literature, history/social studies, humanities, and science — testing vocabulary in context, central ideas, evidence, structure, and rhetoric
4. Only published advertisements

Answer: C — Short passages across literature, history/social studies, humanities, and science — testing vocabulary in context, central ideas, evidence, structure, and rhetoric

C) Defining coverage. A/B/D) Each is incorrect.

The PSAT 8/9 is:

1. The official SAT
2. Only for college seniors
3. A retake of the PSAT/NMSQT
4. The early version of the digital test offered to 8th and 9th graders for early diagnostic feedback — same skills focus, generally easier on average than PSAT/NMSQT

Answer: D — The early version of the digital test offered to 8th and 9th graders for early diagnostic feedback — same skills focus, generally easier on average than PSAT/NMSQT

D) Standard description. A/B/C) Each is incorrect.

A right triangle has legs 5 and 12. The hypotenuse is:

1. 13
2. 17
3. 7
4. √60

Answer: A — 13

Pythagorean theorem: c² = 5² + 12² = 25 + 144 = 169. c = 13. Memorize Pythagorean triples: 3-4-5, 5-12-13, 8-15-17, 7-24-25 — they appear frequently on PSAT.

PSAT Math: Quadratic 2x² − 8 = 0. Solutions:

1. x = ±2 (x² = 4)
2. x = ±4
3. x = ±8
4. x = 2

Answer: A — x = ±2 (x² = 4)

Isolate x²: 2x² = 8 → x² = 4 → x = ±2. Quadratics can have 0, 1, or 2 real solutions (discriminant b² − 4ac).

To register for PSAT/NMSQT, students typically:

1. Register through their school — which administers the test on dates designated by College Board, typically in October of the school year
2. Buy a ticket at a test center
3. Sit for it independently online at any time
4. Mail in paper forms only

Answer: A — Register through their school — which administers the test on dates designated by College Board, typically in October of the school year

A) Defining procedure. B/C/D) Each is incorrect.

Percent: 25% of 80?

20.

If x:y = 3:5 and y = 20, find x.

3/5 · 20 = 12.

Solve: x² - 7x + 12 = 0.

(x-3)(x-4) = 0 → x = 3 or 4.

Vocab: 'subtle'?

Delicate; not obvious.

Selection Index formula?

(R&W + Math + R&W) ÷ 10 — approximately, weighted toward verbal.

If x+y = 10 and x-y = 4, find x²-y².

(x+y)(x-y) = 40.