FTCE GK Practice Questions (2026) — Free Sample Questions with Answers

6 free FTCE GK questions from our 25-question bank, grouped by content domain. Each answer explains why the right option is right — and why every wrong option is wrong.

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Essay Subtest (825)

Question 1

An essay prompt asks: "Should high schools require community service for graduation? Take a position and support it." Which thesis statement best meets the expectations of the FTCE essay?

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Answer: C

Community service is something that many high school students across the country choose to do.: This states a fact but takes no position on the requirement.

There are many reasons for and against requiring community service, and thoughtful people often disagree about them.: Acknowledging both sides without a position does not answer the prompt.

High schools should require community service because it builds responsibility and connects students to local needs.: Correct. It takes a clear position and previews the reasons the essay will develop.

In this essay, I will be writing about community service and the topic of high school graduation.: This announces the topic but makes no arguable claim.

A strong thesis takes a clear, arguable position on the prompt and previews the main supporting points.

English Language Skills Subtest (826)

Question 2

Which sentence uses pronoun case correctly?

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Answer: D

The award was shared between my partner and I.: "Between" is a preposition, so its objects need the objective case: "me."

My partner and me presented the project first.: "Me" cannot be a subject; it should be "I."

Us students presented the project to the judges.: "Us" cannot modify a subject; it should be "We students."

The judges gave my partner and me the award.: Correct. "Me" is an indirect object, so the objective case is right.

Test compound pronouns by removing the other noun: "gave me the award," not "gave I."

Question 3

Choose the verb that correctly completes the sentence: "Neither the principal nor the teachers ___ ready to announce the schedule."

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Answer: B

is: With "neither…nor," the verb agrees with the nearer subject, "teachers," which is plural.

are: Correct. The verb agrees with the closer subject, "teachers," so the plural "are" is needed.

was: "Was" is singular and also shifts to past tense.

has been: "Has been" is singular; the nearer subject is plural.

With either/or and neither/nor, the verb agrees with the subject closest to it.

Reading Subtest (827)

Question 4

Read the passage: "Urban trees do more than provide shade. They absorb rainwater that would otherwise flood streets, filter pollutants from the air, and lower summer temperatures on nearby sidewalks by several degrees. Some cities now count trees as part of their public infrastructure, alongside roads and pipes." Which statement best expresses the main idea?

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Answer: A

Urban trees deliver several practical public benefits.: Correct. Every detail supports the idea that trees serve useful public functions.

Urban trees provide shade for people on hot days.: Shade is mentioned only as a starting point; the passage goes beyond it.

Cities should replace roads and pipes with more trees.: The passage compares trees to infrastructure; it does not call for replacing it.

Air pollution is the most serious urban problem.: Pollution is one detail, not the central point.

The main idea is the point that all of the details support.

Mathematics Subtest (828)

Question 5

A bag contains 4 red and 6 blue marbles. Two marbles are drawn without replacement. What is the probability that both are red?

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Answer: C

4/25: 4/25 = (4/10)², which assumes replacement.

2/5: 2/5 is the probability of drawing one red marble.

2/15: Correct. (4/10) × (3/9) = 12/90 = 2/15.

7/10: 7/10 adds probabilities instead of multiplying.

Without replacement, update the numerator and denominator for the second draw, then multiply.

Question 6

A 13-foot ladder leans against a wall with its base 5 feet from the wall. How high up the wall does the ladder reach?

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Answer: A

12 feet: Correct. 13² − 5² = 169 − 25 = 144, and √144 = 12.

8 feet: 8 is 13 − 5, which subtracts lengths instead of squares.

14 feet: The leg cannot be longer than the 13-foot hypotenuse.

18 feet: 18 is 13 + 5, which adds lengths.

Pythagorean theorem: a² + b² = c², where c is the hypotenuse (here, the ladder).

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