Math Praxis Practice Test (5003)-with 100% verified solutions 2024-2025.docx, Exams of Nursing

Download Math Praxis Practice Test (5003)-with 100% verified solutions 2024-2025.docx and more Exams Nursing in PDF only on Docsity! Math Praxis Practice Test (5003)-with 100% verified solutions 2024-2025 Tutor verified Six children have collected these amounts in their piggy banks: $10, $33, $45, $23, $1, and $68. What is the median of their savings? a. $28 b. $33 c. $23 d. $66 answer: a. $28 Rearrange the numbers in increasing order: 1, 10, 23, 33, 45, and 68. The median of a sequence of numbers is the middle value. Since there are six numbers, there are two values in the middle 23 and 33 and, therefore, the median is the average of these values. The median is 28. What do you call questions that have more than one possible answer, and require collection of data to reach a valid answer? a. probing questions b. statistical questions c. non-statistical questions b. rhetorical questions answer: b. statistical questions A non-statistical question just has one answer that does not change. A rhetorical question does not require to be answered. Probing questions require elaboration of the topic. The weights of twenty trouts were recorded: 12, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 17, 18, and 34. If the weight of the heaviest trout is removed from the data, which statistical parameter will drastically change? a. range b. median c. mean d. mode answer: a. range Since the mean, median, and mode are measures of center, outliers will not have much effect. The range will be greatly affected since it measures the difference between the highest and lowest. Which of the following is the term used for the intersection of the x-axis and the y-axis? a. quadrant b. coordinate c. abscissa d. origin answer: d. origin Abscissa refers to the x-axis, while ordinate refers to the y-axis. Quadrant refers to the four sections in the Cartesian plane that are divided by the two axes. What shape is obtained by drawing the polygon whose vertices are the points of coordinates (2,0), (0,2), (-2,0), and (0,-2)? a. square b. rectangle c. parallelogram d. trapezoid answer: a. square The polygon determined by the four points is a square a. 40 b. 30 c. 60 d. 20 answer: c. 60 If we represent the number of quarters as x, then the number of nickels can be represented as 3x - 20. The equation will be 0.05(3x-20) + 0.25x = 7. The value of x is 20. Since we are looking for the total number of coins, then it is 20 quarters plus 40 nickels. There are 60 coins overall. Ms. Sanders is teaching map reading in class. She uses the map of their school, and draws grids along the map that resembles the Cartesian plane. She sets the flagpole to be the origin and other school landmarks are labeled with their corresponding coordinates. If the playground has coordinates of (-2, 8), and the school cafeteria has coordinates of (3, -4), what is the distance between the two landmarks? a. 10 b. 13 c. 18 d. 15 answer: b. 13 Distance between two points can be computed by using the distance formula. Even if the coordinates have negative values, it will still end up being positive after squaring the differences in the x and y coordinates. Diego has 48 pages to encode, and he is only 25% through. How many more pages does he need to encode? a. 36 b. 12 c. 6 d. 24 answer: a. 36 With twenty five percent of the work done, there is still seventy five percent of the work to be finished. Convert seventy-five percent to its ratio form, which is ¾, then multiply it by 48. A large square pizza was divided into 48 square slices. How many slices is equivalent to 25% of the whole pizza? a. 16 slices b. 8 slices c. 12 slices d. 4 slices answer: c. 12 slices Multiplying 48 by 0.25 without a calculator will be tedious. Instead, we can convert 0.25 to ¼ and we can simply multiply 48 by ¼ , which is equal to 12. From 2 cups of pancake mix, 12 to 18 waffles can be made. Which number of waffles is it possible to make from 8 cups of mix? a. 40 b. 60 c. 30 d. 80 answer: b. 60 Since the number of waffles made from 2 cups of mix is between 12 and 18, then from 8 cups, 48 to 72 waffles can be made. Therefore, a reasonable answer is 60 Which of the following is equal to 11 + 39 + 38 - 29 + 21 - 50? a. 35 b. 4 c. 25 d. 30 answer: d. 30 Adding the first two numbers is equal to 50, which can be cancelled by the other 50. We can round off the remaining numbers to .40, 30, and 20. 40 - 30 + 20 = 30 Which of the following statements regarding basic operations in numbers is not always true? a. the product of two odd numbers is odd b. the product of two composite numbers is even c. the product of an even number and another number is even d. the product of two prime numbers is odd answer: d. the product of two prime numbers is odd By using inductive reasoning, we can either prove or disprove a given statement. A counterexample for the statement, ''the product of two prime numbers is odd,'' is using any prime number and the number 2. Multiplying any number by 2 will result in an even number. The pattern involves an increase in the number of sides. As the number of sides increases, the number of copies of the figures increase as well. The figures also have an alternating pattern of red and white versions. There are 429 children in Greenville. If the number of boys is twice as the number of girls, what is the difference between the number of boys and girls in the city? a. 143 b. 100 c. 286 d. 43 answer: a. 143 If x denotes the number of girls, then 2x represents the number of boys. In total, there are 429 children, and that means that 2x+x=429. Thus, 3x=429 implies x=143. There are 143 girls and 286 boys. The difference is 286-143=143 children. 3x^3 - 7x + (square root sign) 17 Which statement does not accurately describe the given polynomial? a. it is an algebraic expression with -7 as the coefficient of x b. the given has a constant term of (square root side) 17 c. it is an algebraic equation with a degree of 2 d. the given has three terms answer: c. it is an algebraic equation with a degree of 2 A collection of variables and numerical coefficients, combined with a ''+'' or a ''-'', comprises an algebraic expression. If the terms are separated by an equal sign, it becomes an algebraic equation. Since there is no equal sign in the given, it is not an equation. The number of mangoes is thrice the number of oranges. If there are 88 mangoes and oranges, how many oranges are there? a. 66 b. 22 c. 33 d. 11 answer: b. 22 We let the number of oranges to be x and the number of mangoes to be 3x. We get the equation x + 3x = 88, and x = 22 Jean and Pierre went on a trip to France. They traveled from Paris to Grenoble by car a distance of 575.4 km and then from Grenoble to Lyon other 111.4 km. If 1 km = 0.6214 miles, how many miles did the two friends traveled? Round your answer to the nearest integer. a. 687 miles b. 427 miles c. 1105 miles d. 428 miles answer: b. 427 miles The total trip was 575.4 + 111.4 = 686.8 km. 686.8 km x (0.6214 miles / 1 km) = 426.5 ≈ 427 miles Tom has $2.35 in quarters, dimes, nickels, and cents. If he has 5 quarters, 6 dimes, and 5 cents, what percentage of all of his coins are nickels? a. 36% b. 9% c. 25% d. 64% answer: a. 36% Tom has 5 quarters, 6 dimes, and 5 cents that total $1.25 + $0.60 +$0.05 = $1.90. Since he has $2.35, the difference of $2.35 - $1.90 = $0.45 consists of nickels. Thus, Tom has 0.45/0.05=45/5=9 nickels. Since he has a total of 5+6+5+9 = 25 coins, the percentage of nickels is 9/25 = 0.36. Thus, Tom has approximately 36% nickels. In a candy factory, 85 pounds of sugar is needed to make 200 bags of candies. How many bags of candies can be made with 68 pounds of sugar? a. 140 b. 160 c. 250 d. 220 answer: b. 160 The ratio of sugar used in the new setup compared to the original setup is 68:85. It can be simplified and converted to a fraction, which is equal to ⅘ . Now multiply the result to 200, we will get 160 bags of candy made. Draw the solution to 2x-(12x+5)>-x-32. Which of the following gives the area covered by a triangle with coordinates at (3, 7), (12, 7), and (1, -1)? a. 72 b. 36 c. 120 d. 48 answer: b. 36 If the points are plotted in the Cartesian plane, it can be easily identified that it has a base of 9 and a height of 8. Using the formula base times height divided by two, we will get 36 square units. A Math teacher gives a lecture about using nets in representing three dimensional figures. She asks the class to site a real-life object that can show the surface area of a cylinder. Which of the following is the best visual representation of a cylinder's surface area? a. a cylinder-shaped paper weight b. a can of soup with both ends open, and its body cut along the vertical c. writing the dimensions of the cylinder and plugging the values in the formula d. drawing a cylinder on the board and labeling its dimensions answer: b. a can of soup with both ends open, and its body cut along the vertical Writing the dimensions on the board and drawing a cylinder are not real- life materials to represent the cylinder. The paper weight might be cylindrical in shape, but it is more of a visual representation of a cylinder's volume. How many hours are there in 9000 seconds? a. 1.5 b. 2 c. 2.5 d. 3 answer: c. 2.5 Since there are 60 minutes per hour and there are 60 seconds per minute, then an hour has 3600 seconds. We can divide 9000 by 3600 to get 2.5. x = 3 and 3/10 + 1 and 1/5 Plot x on the number line. a. at 5 b. between 2 and 3 c. between 1 and 2 d. between 4 and 5 answer: d. between 4 and 5 Add the two mixed fractions by adding the whole numbers first, then adding the two fractions. In adding the fractions, get the ''LCD'' of the fractions to make them similar. a ^ b Which of the following is a correct representation of the image if set A is the set of prime integers from 1 to 20, and set B is the set of all odd numbers? a. empty set b. 3, 5, 7, 11, 13, 17, 19 c. 2, 3, 5, 7, 11, 13, 17, 19 d. 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 answer: b. 3, 5, 7, 11, 13, 17, 19 The inverted V is the symbol for conjunction. The conjunction between two sets are the elements that are common to both sets A and B. A number of 321 children went on a school field trip to a zoo. At the end of the trip, a third of the number of children went to the gift shop. How many students did not go to the gift shop? a. 214 b. 224 c. 284 d. 107 answer: a. 214 A third of 321 is 321/3=107. Only 107 children went to the gift shop. Subtract 107 from 321 to find the number of children who did not go to the gift shop. The answer is 321-107=214 Know how to find volume, area, and surface area of a triangle, triangular prism, rectangle, rectangular prism, circle, sphere, and trapezoid Google and memorize formulas Which of the following is an algebraic expression? a. 4x + 5y + z = 0 b. 4x + 5y - z + 1 c. 4x + 5y = -z + 1