MoGEA Practice Questions (2026) — Free Sample Questions with Answers

6 free MoGEA 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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Reading Comprehension and Interpretation

Question 1

A columnist writes: "Since the new mayor took office last year, reported burglaries in our city have dropped by twelve percent. Clearly, her public-safety policies are working."

Which is the main weakness in the columnist's reasoning?

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Answer: C

It relies on the opinion of a single expert instead of on data.: The argument does use data (a 12% drop); the problem is how that data is interpreted.

It attacks the character of the mayor's political opponents.: No opponents are mentioned, so the argument contains no personal attack.

It assumes that because one event followed another, the first caused it.: Correct. This is post hoc reasoning: other factors could explain the drop in burglaries.

It uses a percentage when the actual number of burglaries is needed.: A percentage is a legitimate way to describe change; it is not the main flaw.

Sequence is not causation. Before accepting "X happened, then Y, so X caused Y," look for other explanations.

Question 2

Read the passage, then answer the question.

"For much of the twentieth century, the dominant view held that forgetting was simply a failure: information faded because the brain could not preserve it. A growing body of research suggests a different picture. Forgetting appears, at least in part, to be an active process in which the brain weakens rarely used connections so that more relevant memories can be retrieved quickly. On this view, a person who cannot recall last Tuesday's lunch is not suffering from a defect but benefiting from a filter. Critics caution, however, that 'useful forgetting' cannot explain every lapse; memory loss caused by injury or disease is plainly not adaptive."

Which statement best expresses the main idea of the passage?

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Answer: B

Twentieth-century scientists proved that memories decay because the brain cannot store them.: This is the older view the passage describes as being challenged, not the passage's main point.

Recent research suggests forgetting is partly an active, useful process, though not every lapse is.: Correct. The passage presents the new view of forgetting as a filter and then limits it with the critics' point.

People who forget everyday details such as meals have healthier memories than people who do not.: The lunch example illustrates the filter idea; the passage never compares the health of different people's memories.

Memory loss caused by injury or disease is the most common form of forgetting among older adults today.: Injury and disease are mentioned only as exceptions; the passage says nothing about how common they are.

A main idea accounts for the whole passage, including any qualification the author adds at the end.

Mathematics

Question 3

A survey of 120 students found: 42 play a sport and take music; 28 play a sport but do not take music; 18 take music but do not play a sport; and 32 do neither. If one student who plays a sport is chosen at random, what is the probability that the student takes music?

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Answer: C

7/20: This is 42/120, the probability that a student from the whole group plays a sport AND takes music.

1/2: This is 60/120, the probability that any student takes music, ignoring the condition.

3/5: Correct. Of the 42 + 28 = 70 students who play a sport, 42 take music, and 42/70 = 3/5.

7/10: This is 42/60, the probability that a music student plays a sport, which reverses the condition.

For conditional probability, the denominator is only the group named in the condition ("who plays a sport").

Question 4

A rectangular fish tank is 4 feet long, 3 feet wide, and 2.5 feet deep. One cubic foot holds about 7.5 gallons. About how many gallons does the full tank hold?

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Answer: D

30 gallons: This is the volume in cubic feet (4 × 3 × 2.5 = 30) without converting to gallons.

71 gallons: This multiplies the sum of the dimensions (9.5) by 7.5 instead of their product.

90 gallons: This multiplies 4 × 3 × 7.5 and leaves out the depth of 2.5 feet.

225 gallons: Correct. Volume = 4 × 3 × 2.5 = 30 ft³, and 30 × 7.5 = 225 gallons.

Volume of a rectangular prism = length × width × height; then multiply by the conversion factor to change units.

Science and Social Studies

Question 5

A student is researching daily life on the Missouri home front during World War II. Which source is a primary source?

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Answer: D

A 2015 textbook chapter about wartime rationing: A modern textbook summarizes events after the fact, so it is a secondary source.

A documentary narrated by a present-day historian: A documentary made later interprets the past, so it is a secondary source.

A website article summarizing wartime factory work: A later summary written from other sources is a secondary source.

A ration book issued to a Missouri family in 1943: Correct. An object or document created during the period by participants is a primary source.

Primary sources come from the time and people being studied; secondary sources interpret them later.

Writing

Question 6

A draft paragraph reads: "(1) Fines can keep low-income families away from libraries. (2) A family that owes even a small amount may stop visiting. (3) Some libraries that ended fines saw more items returned, not fewer. (4) Therefore, ending fines need not cost libraries their collections." Which revision would most improve the logical flow?

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Answer: A

Begin sentence 3 with "At the same time," to signal a second, related point.: Correct. Sentence 3 shifts from access to returns; an additive transition links the two points and sets up sentence 4.

Begin sentence 2 with "However," to contrast it with sentence 1.: Sentence 2 supports sentence 1 with an example, so a contrast word would confuse the reader.

Move sentence 4 so that it becomes the opening sentence of the paragraph.: Sentence 4 draws a conclusion from sentence 3, so it must follow that evidence.

Delete sentence 3 because it introduces evidence about returned items.: Sentence 3 is the evidence that sentence 4 depends on, so deleting it breaks the argument.

Use transitions to mark the relationship between ideas, and keep conclusions ("therefore") after the evidence that supports them.

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