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10 Most Common ACT Math Questions

Preparing for the ACT Math test? Want a preview of the most common mathematics questions on the ACT Math test? If so, then you are in the right place.

ACT MATH PRACTICE QUESTIONS — original handwritten comic illustration.

Here are 10 of the most common ACT math questions, each with a worked solution. The enhanced ACT math section has 45 questions in 50 minutes with four answer choices each, and a calculator is allowed, so practice both speed and accuracy on these question types.

The mathematics section of ACT can be a challenging area for many test-takers, but with enough patience, it can be easy and even enjoyable!

Preparing for the ACT Math test can be a nerve-wracking experience. Learning more about what you’re going to see when you take the ACT can help to reduce those pre-test jitters. Here’s your chance to review the 10 most common ACT Math questions to help you know what to expect and what to practice most. Try these 10 most common ACT Math questions to hone your mathematical skills and to see if your math skills are up to date on what’s being asked on the exam or if you still need more practice.

Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

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Practice Quiz: 10 Most Common ACT Math Questions

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1. If 4x − 7 = 2x + 9, what is the value of x?
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2. If f(x) = 3x² − 5x + 2, what is f(−2)?
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3. What is the slope of the line through the points (−3, 5) and (6, −1)?
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4. Zoltan rents a kayak for a flat fee of $18 plus $6.50 per hour. He paid $57 in total. For how many hours did he rent the kayak?
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5. What are the solutions of x² − x − 20 = 0?
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6. In right triangle PQR, angle R is the right angle, PR = 7, QR = 24, and PQ = 25. What is sin P?
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7. Ingrid's first four quiz scores are 78, 85, 91, and 70. What must she score on her fifth quiz so that the mean of all five scores is 82?
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8. A jacket priced at $80 is marked 25% off. An 8% sales tax is then added to the sale price. What is the total cost?
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9. If 3x − y = 10 and x + y = 6, what is the value of x?
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10. A box holds 5 lemon, 7 cherry, and 6 lime candies. One candy is chosen at random. What is the probability that it is NOT cherry?
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Answer each question and press Submit to see your result right away.

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Official source: the structure of the ACT, the sections it covers and the time allowed for each are published by ACT, Inc., the organization that writes and administers the test, at act.org.

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