ACT Exam > ACT Notes > Mathematics for ACT > Quant Practice Questions for ACT - 5
Quant Practice Questions for ACT - 5 | Mathematics for ACT PDF Download
Q1: If PQ = 5 and PR = 12, find QR.
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Q2: Find x
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Q3: An isosceles triangle has a vertex angle whose degree measure is 48°. Find the degree measure of each base angle.
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Let x represent the number of degrees in angles B and C
Therefore, ∠B measures 66 and ∠C measures 66°.
Q4: l || m and m ∠a = 100°. Find the number of degrees in angles b, c, d, e, f, g, and h.
View AnswerAns: Because ∠a and ∠d are vertical angles, ∠d measures 100°. Using supplementary angles, m ∠b = 180° – 100° = 80° and m ∠c = 180° – 100° = 80°; therefore m ∠b = m∠c = 80°. Use either property of parallel lines— corresponding angles or alternate interior angles—to obtain the remainder of the answers. For example, m ∠b = m ∠f by corresponding angles or m ∠c = m ∠f by alternate interior angles. Thus, m ∠b = m ∠c = m ∠g = m ∠f = 80° and m ∠e = m ∠h = m ∠d = 100°.
Q5: AB || ED, ∠B = 70° and ∠ACB = 65°. Find the number of degrees in x.
View AnswerAns: Knowing two angles of ∆ ABC, ∠A = 45°. Angles A and E are alternate interior angles. Therefore, ∠A = ∠E, since AB || DE. Thus ∠x = 45°
Q6: Find x, y, and z
View AnswerAns: Since vertical angles are equal, ∠ y = 105°. The same is true for x and z: x = z. Any two adjacent angles such as z and 105° are supplementary. Therefore,
Q7: If BA ⊥ AC, find the number of degrees in angle x.
View AnswerAns: Since BA ⊥ AC, ∠BAC = 90°. Therefore, x° + x° + x° + 45° = 90°
Q8: If PQ is a straight line, express y in terms of x.
View AnswerAns: A straight line forms a straight angle. Therefore y in terms of x
Q9: If LN ⊥ NM, express the number of degrees in x in terms of y.
View AnswerAns: Since LN ⊥ MN, ∠LNM measures 90°.
Q10: Find the distance between the points (7, 9) and (1, 1).
View AnswerAns:
Also important is the formula for finding the midpoint of a line segment.
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FAQs on Quant Practice Questions for ACT - 5 - Mathematics for ACT
| 1. How can I improve my Quant skills for the ACT exam? |  |
Ans. To improve your Quant skills for the ACT exam, it is recommended to practice regularly with official ACT practice tests, review fundamental math concepts, and seek help from a tutor or online resources if needed.
| 2. What are the common types of Quant questions on the ACT exam? | |
Ans. The common types of Quant questions on the ACT exam include algebra, geometry, trigonometry, and data interpretation. It is important to be familiar with each of these question types to perform well on the exam.
| 3. Is it necessary to memorize formulas for the Quant section of the ACT exam? | |
Ans. While it is not necessary to memorize every formula for the Quant section of the ACT exam, it is helpful to be familiar with key formulas and how to apply them to different types of math problems. Practice and understanding the concepts are more important than rote memorization.
| 4. How should I manage my time while solving Quant questions on the ACT exam? | |
Ans. It is important to pace yourself while solving Quant questions on the ACT exam. Allocate a certain amount of time to each question based on the difficulty level, and skip any challenging questions to come back to later if needed. Time management is crucial to completing the section within the allotted time.
| 5. Are there any specific strategies for tackling word problems in the Quant section of the ACT exam? | |
Ans. When tackling word problems in the Quant section of the ACT exam, it is important to read the problem carefully, identify the key information, and translate the words into mathematical equations. Practice breaking down word problems into manageable steps to improve your problem-solving skills for the exam.
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