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ATI TEAS 7

TEAS Test Practice Math

1. What is the square root of 1296?

A. 24
B. 36
C. 31
D. 12

Correct answer: B

Rationale: The square root of 1296 is 36 because 36 multiplied by 36 equals 1296. Therefore, the correct answer is 36. Choices A, C, and D are incorrect. A (24) is not the square root of 1296 because 24 multiplied by 24 is 576, not 1296. C (31) is also incorrect as 31 multiplied by 31 is 961, not 1296. D (12) is not the square root of 1296 as 12 multiplied by 12 equals 144, not 1296.

2. On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 50 cm². What is the actual area of the room?

A. 500 m²
B. 50 m²
C. 5000 cm²
D. 500 cm²

Correct answer: D

Rationale: The scale of 1:100 means that 1 cm² on the floor plan represents 100 cm² in real life. To find the actual area of the room, you need to multiply the area on the floor plan by the square of the scale factor. Since the scale is 1:100, the scale factor is 100. Therefore, 50 cm² on the floor plan represents 50 * 100 = 5000 cm² in real life. Choice A (500 m²) is incorrect as it converts the area from cm² to m² without considering the scale factor. Choice B (50 m²) is incorrect as it does not account for the scale factor. Choice C (5000 cm²) is incorrect as it gives the area on the floor plan, not the actual area.

3. What is the median of the data set below: 5, -3, 10, -2, 0?

A. 10
B. 0
C. 5
D. 2

Correct answer: B

Rationale: To find the median, we first need to arrange the data set in ascending order: -3, -2, 0, 5, 10. The median is the middle value in the ordered set. As there are 5 numbers, the middle value is the third number, which is 0. Therefore, the correct answer is 0. Choice A (10) and Choice D (2) are not correct because they are not the middle values once the data set is ordered. Choice C (5) is also incorrect as it is not the middle value in the ordered data set.

4. A teacher asked all the students in the class which days of the week they get up after 8 a.m. Which of the following is the best way to display the frequency for each day of the week?

A. Histogram
B. Pie chart
C. Bar graph
D. Scatter plot

Correct answer: A

Rationale: A histogram is the best way to display the frequency for each day of the week in this scenario. Histograms are ideal for showing the distribution of numerical data by dividing it into intervals and representing the frequency of each interval with bars. In this case, each day of the week can be represented as a category with the frequency of students getting up after 8 a.m. displayed on the vertical axis. Choice B, a pie chart, would not be suitable for this scenario as it is more appropriate for showing parts of a whole, not frequency distributions. Choice C, a bar graph, could potentially work but is more commonly used to compare different categories rather than displaying frequency distribution data. Choice D, a scatter plot, is used to show the relationship between two variables and is not the best choice for displaying frequency for each day of the week.

5. What is a common denominator?

A. A shared multiple of two denominators
B. A shared factor of two numerators
C. A number that is the same in all fractions
D. A number that divides evenly into both fractions

Correct answer: A

Rationale: A common denominator is a shared multiple of the denominators in a set of fractions. It is necessary when adding or subtracting fractions to have a common denominator to ensure that the fractions can be combined accurately. Choice B is incorrect because the common denominator is related to the denominators, not the numerators. Choice C is incorrect because while the common denominator is the same in all fractions being added or subtracted, it is not necessarily a number that is the same in all fractions. Choice D is incorrect because a common denominator is a multiple of the denominators, not a number that divides evenly into both fractions.