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PRAXIS Elementary Education: Multiple
Subjects Mathmatics (5003) Practice
Test Questions (forms 1 & 2)
Which of the following is the expanded form of 3,056.45? A.(3×1,000)+(5×10)+(6×1)+(4×(1/100))+(5×(1/10)) B.(3×1,000)+(5×10)+(6×1)+(4×(1/10))+(5×(1/100)) C.(3×1,000)+(5×100)+(6×10)+(4×(1/10))+(5×(1/100)) D.(3×1,000)+(5×100)+(6×10)+(4×1)+(5×(1/10)) - Correct Answer - B.(3×1,000)+(5×10)+(6×1)+(4×(1/10))+(5×(1/100)) Heewon is filling water bottles for a bicycle race. The number of bottles, n, needed for the race is n=2h+1, where h is the number of hours she expects to be racing. Which of the following statements is true about the variables n and h? A.n is the independent variable, and h is the dependent variable. B.h is the independent variable, and n is the dependent variable. C.Both n and h are dependent variables. D.Both n and h are independent variables. - Correct Answer - B.h is the independent variable, and n is the dependent variable. Tasha has T books, and Aisha has A books. Aisha has twice as many books as Tasha, and altogether they have 30 books. Which of the following proportions can be used to find out how many books Aisha has? A.A:T=2:3A B.T:A=2:3T C.A:(T+A)=2: D.T:(T+A)=2:3 - Correct Answer - C.A:(T+A)=2:
A. 84
(The surface area of the three-dimensional figure is the sum of the areas of its faces. The faces of the right triangular prism are a 6-by-5 rectangle, a 6-by-4 rectangle, a 6-by- 3 rectangle, and two congruent right triangles, each of which has sides of lengths 4 and
- The areas of the rectangular faces are, respectively, 6×5, or 30; 6×4, or 24; and 6×3, or 18. The area of each of the triangular faces is (1/2)×3×4, or 6. Therefore, the surface area of the figure is 30+24+18+2×6, or 84.) - Correct Answer - The net shown above forms a right triangular prism. Which of the following represents the surface area of the right triangular prism? A. 84 B. 92 C. 96 D. Utensils:$1. Cups:$2. Plates:$2. Tablecloths:$4. Above shows the costs of supplies for a birthday party. Anton buys 6 packages of utensils, 4 packages of cups, 2 packages of plates, and 2 packages of tablecloths. Anton's total purchase is subject to a 7.5% sales tax. How much will the party supplies cost Anton? A.$10. B.$23. C.$30. D.$32.25 - Correct Answer - D.$32. A basket contains A apples and P pears, and there are two fewer apples than three times the number of pears. Which of the following equations can be used to represent algebraically the relationship between the number of apples and the number of pears in the basket? A.A=2−3P B.A−2=3P C.A+2=3P D.3A=P−2 - Correct Answer - C.A+2=3P 30M+15R= In a certain year, Rodney earned a total of $900 mowing lawns and raking leaves for his neighbors. He received $30 for each lawn he mowed and $15 for each job raking leaves
A.3x−5= B.4x−2y+ C.3(9−4)=5(4−1) D.7+5−(12/3) - Correct Answer - A.3x−5= Which of the following is equivalent to (1/4)÷(1/8)? A.(1/4)×(1/8) B.(1/4)× C.4×(1/8) D.4×8 - Correct Answer - B.(1/4)× B.6n−2 - Correct Answer - In the sequence of figures shown, the first term is made of a single square and each successive term is made by adding one cross and one square to the preceding term. To form each square, 4 line segments are needed, and to form each cross, 2 line segments are needed. Which of the following expressions can be used to find the number of line segments needed to form the nth term in the sequence of figures? A.n+ B.6n− C.n^2+3n D.(n+1)^ The digit 5 is in what place in the number 3.14159? A.Thousands place B.Thousandths place C.Hundredths place D.Ten-thousandths place - Correct Answer - D.Ten-thousandths place Rodrigo left his workplace at 4:50 P.M., and it took him (3/4) of an hour to get home. At what time did Rodrigo get home? A.5:35 P.M. B.5:45 P.M. C.5:55 P.M. D.6:05 P.M. - Correct Answer - A.5:35 P.M. Rosa left a 20% tip on a restaurant bill of $47.30. What amount did Rosa leave for the tip? A. $0. B. $4. C. $9. D.$14.19 - Correct Answer - C. $9.
In the xy-plane, point A has coordinates (2,1) and point B has coordinates (5,1). Which of the following could be the coordinates for point C so that the area of triangle ABC is equal to 9 square units? A.(5,7) B.(5,4) C.(3,4) D.(4,6) - Correct Answer - A.(5,7) (the triangle that is used as the base and h is the length of the height relative to the side chosen as the base. Since the coordinates of points A and B are given and the segment AB is parallel to the x-axis, the length of side AB can be easily computed, making AB the best choice for the base of the triangle. The length of segment AB is | 5−2 |, or 3 units. Substituting the value of 9 for A and the value of 3 for b in the formula yields 9=(1/2)×3×h; that is, h=6. Therefore, the length of the height of the triangle relative to side AB must be 6. Since AB is parallel to the x-axis, point C must be on the line with equation y=7 or on the line with equation y=−5; that is, it must have a y-coordinate of either 7 or −5. C. 8 - Correct Answer - Alireza has been reading a 600-page novel at a constant rate. The graph shows the number of pages y he has read after x days of reading. If he continues reading at the same rate, how many days will it take him to read the novel from beginning to end? A. 4 B. 6 C. 8 D. 1,2, ... The first three terms of a certain sequence are shown. Which of the following mathematical relationships could describe the terms of the sequence? Select all that apply. A.The first term is 1. Each subsequent term of the sequence is obtained by multiplying a constant quantity by the preceding term. B.The first term is 1. Each subsequent term of the sequence is obtained by adding a constant quantity to the preceding term.
A.
B.
C.2a+ D.12a+5 - Correct Answer - A. 462, In the number shown, the value represented by the digit 6 is 6×b, where b is a constant. Which of the following equals b? A.10^ B.10^ C.10^ D.10^6 - Correct Answer - B.10^ Which of the following statements must be true about the two non-right angles of a right triangle? A.Both angles are acute. B.One angle is acute and one is obtuse. C.The angles are congruent. D.Both angles are obtuse. - Correct Answer - A.Both angles are acute. −3(x−4)≥ Which of the following inequalities is equivalent to the inequality shown? A.x ≤ − B.x ≤ 1 C.x ≥ − D.x ≥ 1 - Correct Answer - B.x ≤ 1 8+24÷4×(6−4) Which of the following is equivalent to the expression shown? A. 5 B. C. D.20 - Correct Answer - D. Which list of numbers is ordered from least to greatest? ( "¯" means repeating) A.(9/25), 0.35, (2/5), 0.35¯
B.0.35, 0.35¯, (9/25), (2/5)
C.(2/5), (9/25), 0.35, 0.35¯
D.0.35¯, 0.35, (9/25), (2/5) - Correct Answer - B.0.35, 0.35¯, (9/25), (2/5) In a set of number cubes, the length of the edge of each number cube is (2/3) inch. It takes 27 of these number cubes to completely fill a box in the shape of a cube. What is the volume, in cubic inches, of the box? - Correct Answer - Correct Answer: 8 (27 number cubes fit in the cubical box, there must be 3 layers of number cubes, with each layer consisting of 3 rows of 3 number cubes. With 3 number cubes, each having edge length (2/3) inch, along one edge of the box, each edge of the box is 3×(2/3)= inches in length. The volume of the box is thus 2^3=8 cubic inches. Another approach is to find the volume of each number cube first. The volume of each number cube is (2/3)^3, or (8/27) cubic inches. Since there are 27 number cubes in the box, the volume of the box is (8/27)×27, or 8 cubic inches. A salesperson records data consisting of total sales each day for one year. If the least and greatest total sales values are deleted from the data set, which of the following is most likely true about the effect of the deletion? A.The range and mean of the data set will change, but not the median. B.The range and median of the data set will change, but not the mean. C.The median and mean of the data set will change, but not the range. D.The mean, median, and range of the data set will all change. - Correct Answer - A.The range and mean of the data set will change, but not the median. Which of the following pairs of numbers estimates the number 3.27461 to the nearest tenth and to the nearest thousandth, respectively? A.3.2 and 3. B.3.2 and 3. C.3.3 and 3. D.3.3 and 3.275 - Correct Answer - D.3.3 and 3. Jamal bought a pair of headphones priced at $17.99. If the sales tax rate is 8%, which of the following proportions can be used to find the amount of sales tax x, in dollars, for the headphones? A.(8/17.99)=(x/100)
E.The degree of the expression is 3. - Correct Answer - A.The coefficients are 2, 17, 14, 8, and 1. B.The variables are x and y. E.The degree of the expression is 3. Color : Probability Red : (1/3) Blue : X Green : (1/6) Yellow : (1/12) A spinner is divided into 12 congruent sections. Each section is either red, blue, green, or yellow. The table shows the theoretical probability of landing on a color when spinning the spinner once. How many sections are blue? A. B. C. D.9 - Correct Answer - C. Cube A has a volume of 1 cubic inch. The length of each side of cube B is 1 inch greater than the length of each side of cube A. The volume of cube B is how many times the volume of cube A? A.2 times B.3 times C.4 times D.8 times - Correct Answer - D.8 times (Since the volume of cube A is 1 cubic inch, its sides must have a length of 1 inch. The length of each side in cube B is 1 inch greater than the 1 inch length of each side in cube A, so each side in cube B has length 2 inches. The volume of cube B is thus 8 cubic inches, which is 8 times the volume of cube A.) Ms. Gupta is making 3 batches of chocolate chip cookies for a picnic. Each batch requires 1(1/2) cups of sugar and 3(1/4) cups of flour. Which of the following is the best estimate of the total amount of sugar and flour Ms. Gupta uses for the cookies? A.Less than 9 cups B.Between 9 and 12 cups C.Between 12 and 15 cups D.More than 15 cups - Correct Answer - C.Between 12 and 15 cups 8a−3b
What is the value of the expression shown when a=2 and b=−5? A.− B.− C. 1 D. 31 - Correct Answer - D. 31 B. 8 (Point C on the boxplot is the median of the data. To find the median, the data points must be reordered from least to greatest, which yields 1, 2, 4, 4, 5, 7, 8, 9, 9, 9, 10, 11,
- The median is the 7th data point, which is 8.) - Correct Answer - {9, 11, 1, 4, 7, 12, 10, 4, 9, 2, 5, 9, 8 } The list shows the number of books each of the 13 students in a class read over the summer. The teacher wants to summarize the data using the boxplot shown. What is the value of C on this boxplot? A. 7 B. 8 C. 9 D. A family of 5 consumes (1/2) gallon of milk a day. How many 1-gallon jugs of milk must the family buy to have enough milk for a week? A.2. B. C.3. D.4 - Correct Answer - D. D.1, (The lengths, in inches, of the labeled sides in the polygon are 36 inches, 18 inches, 18 inches, and 24 inches. The polygon can be decomposed into two rectangles: one having a length of 36 inches and a width of 18 inches, and the other having a length of 24 inches and a width of 18 inches. The first has an area of 36×18, or 648 square inches, and the second has an area of 24×18, or 432 square inches. The area of the polygon is the sum of the areas of these two rectangles, which equals 648+432, or 1,080 square inches.) - Correct Answer - What is the area, in square inches, of the polygon shown? A. 21 B. 54
Which of the following lists shows all the factors of 24? A.2, 3 B.3, 4, 6, 8 C.2, 3, 4, 6, 8, 12 D.1, 2, 3, 4, 6, 8, 12, 24 - Correct Answer - D.1, 2, 3, 4, 6, 8, 12, 24 C.AC→ and AB→ - Correct Answer - Which of the following can be used to name the ray that has endpoint A and goes in the direction of C in the figure shown? A.AB→ only B.AC→ only C.AC→ and AB→ D.CA→ and AC→ A. - Correct Answer - The function f(x)=x2+3 is represented by which table of values? Which of the following expresses (3/16) as a percent? A 0.1875% B 1.875% C 5.33% D 18.75% - Correct Answer - D 18.75% Which of the following is equal to 4(5−2)^2−2^3? A. 16 B. 28 C. 76 D.136 - Correct Answer - B. 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 - Correct Answer - B. Triangular prism B.When the numerator stays the same and the denominator increases, the fraction decreases. - Correct Answer - Which of the following is demonstrated by the figure shown? A.When the numerator stays the same and the denominator increases, the fraction increases.
B.When the numerator stays the same and the denominator increases, the fraction decreases. C.When the denominator stays the same and the numerator increases, the fraction increases. D.When the denominator stays the same and the numerator increases, the fraction decreases. 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 - Correct Answer - C. 73 C - Correct Answer - chicken, chicken, spaghetti, chicken, pizza, pizza, tacos, chicken, pizza, pizza, pizza, tacos, spaghetti, tacos, spaghetti, tacos, tacos, spaghetti, tacos, tacos A teacher asked 20 students to name their favorite school lunch. The students' responses are shown in the table. The teacher then asked the students to organize and display the data in a bar graph. Which bar graph correctly displays the data? A. G lies on the x-axis. D. D is in the fourth quadrant. E. The area of the polygon ABCDEFG is 27 square units. - Correct Answer - In the figure shown, quadrilateral ABFG is a square and quadrilateral FCDE is a rectangle. Which of the following statements must be true about the figure?
In which quadrant is the point (−8,2) located? A.Quadrant I B.Quadrant II C.Quadrant III D.Quadrant IV - Correct Answer - B.Quadrant II Elisa's number: 5,723, Troy's number: 2,678, 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, D. 10,000 - Correct Answer - A. 10 3y + 2y What is the value of the algebraic expression shown wheny=5? A. 15 B. 25 C. 60 D. 85 - Correct Answer - B. 25 D. Irregular and concave - Correct Answer - Which of the following could be used to describe the polygon shown? A. Regular and convex B. Regular and concave C. Irregular and convex D. Irregular and concave 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. - Correct Answer - D. Because of the real-world context, the solution must belong to the set of all natural numbers; therefore, the solution is not acceptable. C - Correct Answer - Which of the following graphs in the xy-plane could be used to solve graphically the inequality x−2<−2(x+1) and shows the solution to the inequality? Mr. Smythe has asked his students to come up with function rules for the following data. X : Y
- 1 : 1 0 : 0 Adam says that the function rule is y= −x, Belinda says that the function rule is y=−x^2, and Chandra says that the function rule is y=−x^2−2x. 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 D. Adam's, Belinda's, and Chandra's - Correct Answer - B. Adam's and Chandra's only The community pool has a capacity of 50,000 gallons. It is leaking at a rate of 450 gallons per day. The equation g = 50,000 - 450d can be used to find the number of gallons g remaining in the pool after d days. Which of the following statements is true? A. g is the dependent variable because the volume is dependent on the number of days d. B. g is the independent variable because it is what needs to be found. C. d is the dependent variable because it is being multiplied by the independent rate of
D. Dependent and independent variables cannot be determined in this situation because the equation is linear. - Correct Answer - A. g is the dependent variable because the volume is dependent on the number of days d. Tom's company has to ship 1,944 boxes of shoes. If a truck can hold 450 boxes, how many trucks does he need to ship all the boxes? - Correct Answer - 5 In the number 567,894, what is the value of the digit 6? A.Sixty B.Ten thousand C.Six thousand
The equation shown demonstrates which of the following? A.The distributive property of multiplication over addition B.The commutative property of multiplication C.The associative property of multiplication D.The additive inverse and additive identity properties - Correct Answer - A.The distributive property of multiplication over addition Which of the following is the product of two even numbers and an odd number, each of which is greater than 1? A. B. C. D.21 - Correct Answer - C. A wholesale nut company makes 10-pound and 25-pound bags of trail mix. For the 10- pound bag, the company uses 3 pounds of raisins, and the rest is nuts. If the proportion of raisins to nuts is the same in the 25-pound bag as in the 10-pound bag, how many pounds of nuts does the company need for the 25-pound bag? A. 7. B.17. C.18. D.22.0 - Correct Answer - B.17. Consider the algorithm shown. Step 1: Select a numerical value for the variable k. Step 2: Add 3 to k. Step 3: Multiply the result by 8. Step 4: Cube the result. Step 5: End. Executing the algorithm shown is equivalent to evaluating which of the following algebraic expressions? A. (8k+3)^ B. 8(k+3)^ C. 8^3(k+3) D. 8^3(k+3)^3 - Correct Answer - D. 8^3(k+3)^ 2, 3, a3 , a4 , a5 , ...
The first two terms of the sequence shown are 2 and 3. Each subsequent term, beginning with the third, is found by adding the two preceding terms and multiplying the sum by−2. What is the value of a5, the fifth term of the sequence? A. - 14 B. - 12 C. - 10 D. - 8 - Correct Answer - D. - 8 B. The country that had the greatest yearly exports to the United States for each of the years shown had a three-year export total between $11 billion and $12 billion. C. The exports from Country A to the United States more than doubled from 1995 to
- Correct Answer - Which of the following statements can be inferred from the graph shown? Select all that apply. A. For each country shown, exports to the United States increased each year from the previous year. B. The country that had the greatest yearly exports to the United States for each of the years shown had a three-year export total between $11 billion and $12 billion. C. The exports from Country A to the United States more than doubled from 1995 to
X | f(x) 100 | 60 | 24 45 | 18 30 | 12 Some values of the linear function f are given in the table shown. What is the value of f(100)? A. 30 B. 36 C. 40 D. 48 - Correct Answer - C. 40 Wai tossed a fair coin 9 times with an outcome of H H T T T T H H H, where H means heads and T means tails. What is the probability that the next toss will be T? A.0. B.0. C.0. D.1.0 - Correct Answer - C.0.
