MATH PRAXIS PRACTICE TEST QUESTIONS AND ANSWERS, LATEST UPDATED 2024/2025 (GRADED)

Which of the following expresses 3/16 3 16 as a percent? A. 0.1875% B. 1.875% C. 5.33% D. 18.75% - Correct Answer: D Option (D) is correct. The question requires an understanding of percent and percentages. To convert a fraction to a percent, it is necessary to multiply the fraction by 100 and add a percent symbol. Since 316×100=18.75 3 16 × 100 = 18.75, 3 16 is equivalent to 18.75%. Which of the following is equal to 4(5−2)^2 − 2^3 (^ means the digit after ^ is an exponent) A. 16 B. 28 C. 76 D.136 - Option (B) is correct. The question requires an understanding of the order of operations. The first step to simplify the expression 4(5−2)^2 − 2^3 is the evaluation of the subtraction within the parentheses; the expression is equivalent to 4 × 3^2 − 2^3 The second step is the evaluation of the powers; the expression is equivalent to 4×9−8 MATH PRAXIS PRACTICE TEST QUESTIONS AND ANSWERS LATEST 2024/2025 | GRADED The third step is the evaluation of the multiplication; the expression is equivalent to 36−8 The final step is the evaluation of the subtraction; the expression is equivalent to 28. A two-dimensional net of a certain three-dimensional figure includes five faces, nine edges, and six vertices. Which of the following three-dimensional figures is represented by the net? A. Triangular pyramid B. Triangular prism C. Rectangular pyramid D. Rectangular prism - Option (B) is correct. The question requires an understanding of three-dimensional geometry. Triangular pyramids and rectangular prisms have four and six faces, respectively. Triangular prisms have five faces: two are triangles, and three are quadrilaterals. Rectangular pyramids also have five faces: one is a rectangle, and four are triangles. Triangular prisms have nine edges, while rectangular pyramids only have eight edges. Week Customers 1 52 2 79 3 44 4 110 5 90 6 68 7 125 8 96 9 88 Bobby runs a small store. The total number of customers who shopped at the store during each of nine consecutive weeks is recorded in the chart shown. If the number of customers who shopped at the store during the tenth week were included in the data, the mean and median of the data would change but the range would not change. Which of the following could be the number of customers who shopped at the store during the tenth week? A. 39 B. 41 C. 73 D.132 - Option (C) is correct. The question requires an understanding of basic statistical concepts. The range is obtained by subtracting the smallest value, 44, from the largest value, 125. In order to modify the mean and median but not the range, the number of customers that shopped at the store during the tenth week must be greater or equal to 44 and less than or equal to 125. Which of the following is equal to 5(10^0)? A. 0 B. 1 C. 5 D.50 - Option (C) is correct. The question requires an understanding of the place value system and powers of 10. Since 10^0=1 the expression 5(10^0) is equal to 5×1 or 5. A pencil is 18 centimeters in length. How long is the pencil in millimeters? A. 0.18 B. 1.8 C. 180 D. 1,800 - Option (C) is correct. The question requires an understanding of the metric system. Since 1 centimeter equals 10 millimeters, 18 centimeters equal 180 millimeters. If the geometric sequence below continues to increase in the same way, what is the next number in the sequence? 2, 6, 18, 54, 162, ... A.243 B.324 C.486 D.729 - Option (C) is correct. The question requires an understanding of patterns and the ability to find and use a pattern rule. A geometric sequence is a sequence for which the ratio between consecutive terms is constant. The generic rule for a geometric sequence can be written as an=a1(r)n−1 for n≥1 where a1 is the initial term and r is the ratio. In this case the initial term is 2 and the ratio is 3, so the sequence rule can be expressed as an=2(3)n−1 for n≥1 Another way of representing the same sequence is a1=2 and an=3an−1 for n≥2 The next number in the sequence is then a6 = 3a^5 = 3×162 = 486. Which of the following lists the coefficients and degrees of the terms in the polynomial shown? A.Coefficients: 3, 7, −5; Degrees: 5, 3, 0 B.Coefficients: 3, 7, −5; Degrees: 5, 3, 1 C.Coefficients: 5, 3, 0; Degrees: 3, 7, −5 D.Coefficients: 5, 3, 1; Degrees: 3, 7, −5 - Option (A) is correct. The question requires an understanding of algebraic terminology. The coefficients of the terms of a polynomial are the numbers by which the variables are multiplied. The degrees of the terms of a polynomial are the exponents to which the variables are raised. Therefore, the coefficients are 3, 7, and −5 and the degrees are 5, 3, and 0. Elisa's number: 5,723,683 Troy's number: 2,678,533 Both Elisa and Troy wrote a number, as shown. The digit 7 in Elisa's number represents how many times what the digit 7 represents in Troy's number? A. 10 B. 100 C. 1,000 D. 10,000 - Option (A) is correct. The question requires an understanding of place value systems. The value of the number represented by the 7 in Elisa's number is 700,000, or 7×10^5 while the value of the number represented by the 7 in Troy's number is 70,000, or 7×10^4. Therefore, the value of the former is 10 times as great as the value of latter. Sara went to the store to buy some clothes. She bought six shirts, half as many pairs of pants as shirts, and a fourth as many sweaters as shirts. How many pieces of clothing did Sara buy? Which of the following statements about the solution to the word problem shown must be true? A. Because of the real-world context, the solution must belong to the set of all rational positive numbers; therefore, the solution is acceptable. B. Because of the real-world context, the solution must belong to the set of all rational positive numbers; therefore, the solution is not acceptable. C. Because of the real-world context, the solution must belong to the set of all natural numbers; therefore, the solution is acceptable. D. Because of the real-world context, the solution must belong to the set of all natural numbers; therefore, the solution is not acceptable. - Option (D) is correct. The question requires an understanding of how to evaluate the reasonableness of a solution to a contextual word problem. The solution to the given word problem must belong to the set of all natural numbers because the unit is pieces of clothing, which is a positive and discrete unit. According to the word problem, Sara bought 6 shirts, 3 pairs of pants, and sweaters, totaling 10 and 1/2 pieces of clothing. The solution is, therefore, not acceptable since it is not a natural number. Mr. Smythe has asked his students to come up with function rules for the following table of data. x y -1 1 0 0 Adam says that the function rule is y = −x Belinda says that the function rule is y = −x2 and Chandra says that the function rule is y=−x2−2x Which of the three equations could be the function rule for the table? A. Adam's only B. Adam's and Chandra's only C. Belinda's and Chandra's only