ATI TEAS Version 7 - Math
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Free ATI TEAS Version 7 - Math Questions
The line graph below displays the monthly sales figures (in thousands of dollars) for a local business from January to June. Which of the following months has the highest sales figure?
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February
-
June
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April
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January
Explanation
Correct Answer: C. April
Explanation:
April shows the highest point on the line graph, with a sales figure reaching approximately $40,000. This is the peak value compared to all other months displayed. Since the graph is measuring sales in thousands of dollars, and April's dot is at the topmost point on the chart, it clearly represents the highest monthly sales during the January to June period.
Why the Other Options Are Wrong:
A. February
February’s sales figure is lower than January and several other months. The graph shows a slight dip in February, placing it around $19,000, which is well below the peak in April.
B. June
Although June shows strong performance at around $35,000, it does not surpass April’s $40,000. Therefore, it is not the highest month in terms of sales.
D. January
January starts the year off with a sales figure near $20,000, which is much lower than April and also below March, May, and June. It is far from being the highest month.
Which of the following is the number of ounces in 3 pounds? (Note: 1 ounce = 0.0625 pounds)
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0.0208
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48
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16
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0.1875
Explanation
Correct Answer:
48
Explanation:
We are given the conversion rate:
1 ounce = 0.0625 pounds
To find how many ounces are in 3 pounds, divide 3 by 0.0625:
3 ÷ 0.0625 = 48 ounces
Why Other Options Are Wrong:
0.0208
This result is far too small and likely comes from dividing the wrong way or misinterpreting units. It doesn't match a realistic conversion of pounds to ounces.
16
16 ounces equals 1 pound, not 3. This choice underestimates the correct value by a factor of 3.
0.1875
This is equal to 3 × 0.0625, which gives the number of pounds in 3 ounces, not ounces in 3 pounds. It's the reverse of what's being asked.
Which of the following is the best description for the data set below?
1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9
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Uniform
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Right-skewed
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Bimodal
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Left-skewed
Explanation
Correct Answer C. Bimodal
Explanation of Correct Answer:
A bimodal distribution is one that has two distinct peaks or modes — values that appear most frequently. In this data set:
2 appears four times
8 also appears four times
These two values occur more often than any other numbers in the set, meaning the data has two modes, which defines a bimodal distribution.
Why the Other Options Are Incorrect:
A. Uniform
A uniform distribution has values that all occur with approximately equal frequency. In this case, some values appear once or twice, while others appear four times, so the distribution is clearly not uniform.
B. Right-skewed
A right-skewed distribution has a longer tail on the right (higher values). This data set is fairly balanced around the center and does not have a long right tail.
D. Left-skewed
A left-skewed distribution has a longer tail on the left (lower values). This also does not apply here, as the data is not lopsided toward the low end.
Which of the following values is an outlier in the data set below?
12, 15, 14, 16, 27, 14, 15, 13
-
27
-
12
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16
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14
Explanation
Correct Answer A: 27
Explanation:
An outlier is a value that differs significantly from other values in a data set. In this data set, most of the numbers are between 12 and 16, and then there's a 27, which is much higher than the others.
Since 27 is distant from the cluster of values around 12–16, it qualifies as an outlier.
Why the Other Options Are Incorrect:
B. 12
12 is on the lower end but still close to the other numbers (13, 14, 15, 16) and not far enough to be considered an outlier.
C. 16
16 is within the common range of the other data points and does not stand out.
D. 14
14 appears twice and is well within the normal range of the data set.
Which of the following is the best decimal approximation of 10 times the positive square root of 20
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100.0
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200.0
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44.7
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89.4
Explanation
Correct Answer C. 44.7
Explanation:
First, find the square root of 20. The square root of 20 is approximately 4.472. Then multiply this value by 10:
4.472 × 10 = 44.72.
The option closest to 44.72 is 44.7, making C the correct answer.
Why Other Options Are Wrong:
A. 100.0 is incorrect because 10 × √20 is about 44.7, much less than 100.0.
B. 200.0 is incorrect because it is far above the correct value of 44.7.
D. 89.4 is incorrect because while it’s closer than A or B, it’s still about twice the correct value and does not accurately approximate 10 × √20.
A nurse has already poured 600 milliliters (mL) of saline into a container and needs to reach a total volume of 0.75 liters (L). The available saline packet sizes are 250 milliliters, 200 milliliters, and 150 milliliters. Which of the following packet sizes should the nurse add to achieve the exact volume?
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100 mL
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250 mL
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150 mL
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200 mL
Explanation
Correct Answer:
100 mL
Explanation:
0.75 liters equals 750 milliliters. The nurse already has 600 mL in the container. To reach 750 mL, the nurse needs an additional 750 – 600 = 150 mL. However, among the options listed, the correct available packet size that matches the requirement is 150 mL, not 100 mL. Therefore, the correct packet to use is the 150 mL option.
Why Other Options Are Wrong:
100 mL
This is not enough. Adding 100 mL to 600 mL gives only 700 mL, which falls short of the required 750 mL.
250 mL
This amount is too much. Adding 250 mL to 600 mL results in 850 mL, which exceeds the target of 750 mL.
200 mL
This is also too much. Adding 200 mL to 600 mL results in 800 mL, which overshoots the required 750 mL.
An employee's number of hours worked and their total earnings has a proportional relationship that can be graphed as a straight line. If the point (7, 157.5) lies on the line of this relationship, which of the following information describes the employee's earnings?
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Manaf has worked for 22.5 hours.
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Manaf earns $7.00 per hour for 157.5 hours.
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Manaf earns $157.50 per hour for 7 hours.
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Manaf earns $22.50 per hour.
Explanation
Correct Answer: D. Manaf earns $22.50 per hour.
Explanation:
The point (7, 157.5) means that after working for 7 hours, the employee earns $157.5. To find the hourly rate, divide the total earnings by the number of hours worked:
157.5 ÷ 7 = 22.5
So, the employee earns $22.50 per hour.
Why the Other Options Are Incorrect:
A. Manaf has worked for 22.5 hours.
This is incorrect because the point (7, 157.5) indicates that Manaf worked for 7 hours, not 22.5.
B. Manaf earns $7.00 per hour for 157.5 hours.
This is incorrect because the hourly rate is $22.50, not $7.00, and the total hours worked in the point (7, 157.5) is 7 hours, not 157.5.
C. Manaf earns $157.50 per hour for 7 hours.
This is incorrect because the earnings of $157.50 are for 7 hours of work, not for 1 hour of work. The hourly rate is $22.50, not $157.50.
The table above represents the eye color of each student in a class.
Which of the following is the percent of students who have green eyes? (Round to the nearest percent.)
| Male | Female | |
|---|---|---|
| Green | 5 | 3 |
| Blue | 16 | 19 |
| Brown | 27 | 18 |
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10%
-
8%
-
9%
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11%
Explanation
Correct Answer:
9%
Explanation:
To find the percentage of students with green eyes, first calculate the total number of students:
5 (Green, Male) + 3 (Green, Female) + 16 + 19 + 27 + 18 = 88 students total.
There are 8 students with green eyes.
Now calculate the percentage: (8 ÷ 88) × 100 = 9.09%, which rounds to 9%.
So, 9% of the students have green eyes.
Why Other Options Are Wrong:
10%
This would mean about 8.8 students have green eyes out of 88, which is more than the actual count of 8. It's a slight overestimation and does not match the exact rounded percentage.
8%
This is too low. 8% of 88 students is about 7.04, which underrepresents the number of students with green eyes. There are actually 8, so this option is inaccurate.
11%
11% of 88 is about 9.68 students, which exceeds the actual number of green-eyed students (8). Therefore, this overestimates the percentage and is incorrect.
A temperature gauge reads 95° F. Which of the following is the correct conversion to degrees Celsius? (Note: °C = 5/9[°F - 32])
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63°C
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21°C
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113°C
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35°C
Explanation
Correct Answer D: 35°C
Explanation:
Let’s plug the Fahrenheit temperature into the conversion formula:
°C = 5/9 × (95 - 32)
= 5/9 × (63)
= 5 × 7
= 35°C
So, 95°F is exactly 35°C.
Why the Other Options Are Incorrect:
A. 63°C
This value is too high for 95°F. 63°C is equivalent to about 145.4°F, so it’s incorrect.
B. 21°C
21°C equals about 69.8°F, which is lower than 95°F, so this is also incorrect.
C. 113°C
113°C equals about 235.4°F, which is far too high for 95°F.
The scatter plot below shows the relationship between the number of hours a student listens to music and the student's test scores. Which of the following types of correlation is shown on the scatter plot
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Positive and negative
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Negative
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Positive
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No correlation
Explanation
Correct Answer: No correlation
Explanation:
The scatter plot displays data points that are widely spread out with no consistent upward or downward pattern between the number of hours listening to music and test scores. This indicates no correlation, meaning there’s no predictable relationship between the two variables. Some students score high with many listening hours, while others score low with the same, and vice versa. Because there’s no visible trend or pattern, this represents no correlation.
Why the Other Options Are Wrong:
Positive and negative
This option is invalid because a correlation cannot be both positive and negative at the same time. It either trends upward (positive), downward (negative), or has no consistent trend at all. In this case, there’s no trend, making this choice incorrect.
Negative
A negative correlation would show a pattern where test scores decrease as the number of hours listening to music increases. The scatter plot does not demonstrate this kind of downward trend, so this option is not correct.
Positive
A positive correlation would show a pattern where test scores increase as the number of hours listening to music increases. The scatter plot does not display this type of upward trend, so this option is also incorrect.
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