ATI TEAS Version 7 - Math
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Free ATI TEAS Version 7 - Math Questions
A scientist is studying the impact of water temperature on fish population in a lake. They found that as the water temperature increased, the fish population decreased. Which of the following is the correlation between water temperature and fish population?
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Direct Correlation
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Positive correlation
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No correlation
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Negative correlation
Explanation
Explanation:
Correlation describes the relationship between two variables. A negative correlation occurs when one variable increases while the other decreases. In this scenario, as water temperature rises, the fish population declines, which is an inverse relationship. Therefore, the correlation between water temperature and fish population is negative.
Correct Answer:
Negative correlation
Which of the following fractions is equivalent to 0.27?
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2/7
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⅜
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3/11
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27/100
Explanation
A decimal with two digits after the decimal point can be written over 100. Therefore, 0.27 = 27/100.
Correct answer: 27/100
A teacher has asked all the students in the class what their favorite color is and separates the responses into five categories. The results are shown in the table below. Which of the following is the best way to display the frequency for each color?
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Histogram
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Pie chart
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Scatter plot
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Line graph
Explanation
Explanation:
When showing the distribution of categorical data, such as students’ favorite colors, a pie chart is ideal because it visually represents the proportion of each category relative to the whole. Each slice of the pie corresponds to the frequency of students choosing that color, making it easy to compare and understand at a glance. Histograms and line graphs are more suited for numerical or continuous data, and scatter plots are used to show relationships between two numerical variables.
Correct Answer:
Pie chart
How many tablespoons (Tbsp) are there in 3 cups?
Note: 1 cup = 16 Tbsp
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48 Tbsp
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64 Tbsp
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24 Tbsp
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5.3 Tbsp
Explanation
Correct Answer: A. 48 Tbsp
Solution:
Since:
1 cup\(\displaystyle =16\) Tbsp
For 3 cups:
\(\displaystyle 3\times 16=48\)
\(\displaystyle =48\) Tbsp
Correct Answer: A. 48 Tbsp
A consumer makes a $400 down payment on a TV that costs $1,579. Which of the following is the number of months it will take to pay off the television with a monthly payment of $100? (Assume that no interest is owed.)
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11
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15
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16
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12
Explanation
Explanation:
First, subtract the down payment from the total cost to find the remaining balance: 1,579 − 400 = 1,179. The consumer pays $100 each month, so the number of months required is 1,179 ÷ 100 = 11.79 months. Since payment must be made in full months, the consumer will need approximately 12 months to pay off the remaining balance.
Correct Answer:
12
A bucket can hold 2500 mL. How many L can the bucket hold?
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0.25 mL
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25 mL
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2.5 L
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250 L
Explanation
Explanation:
To convert milliliters (mL) to liters (L), divide the number of milliliters by 1000 because 1 liter equals 1000 milliliters. Therefore, 2500 mL ÷ 1000 = 2.5 L. This means the bucket can hold 2.5 liters of liquid in total.
Correct Answer:
2.5 L
Which of the following percentages is equivalent to the fraction below?
5/8
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1.6%
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62.5%
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6.25%
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160%
Explanation
Correct Answer: B. 62.5%
Explanation:
To convert the fraction 5/8 to a percentage, divide 5 by 8 to get 0.625, then multiply by 100 to get 62.5%. Therefore, the correct percentage equivalent of 5/8 is 62.5%.
Why the Other Options Are Incorrect:
A. 1.6%
1.6% is equal to 0.016 as a decimal, which is far smaller than 5/8. This is not an equivalent value.
C. 6.25%
6.25% equals 0.0625 as a decimal, which is also much smaller than 5/8 (0.625). It is off by a factor of 10.
D. 160%
160% equals 1.6 as a decimal, which is more than double the value of 5/8. This is too large to be equivalent.
A teacher has 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?
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Bar graph
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Histogram
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Scatterplot
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Pie graph
Explanation
Correct Answer: (A) Bar graph
A bar graph is best for displaying frequency across distinct categories (days of the week). Each day is a separate category, making a bar graph the clearest way to compare how often students wake up after 8 a.m. on each day. A histogram is for continuous data, a scatterplot shows relationships between two variables, and a pie graph shows parts of a whole rather than frequency per category. ✓
Which of the following is an appropriate unit of measure to express the radius of a needle?
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Millimeters
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Hectometers
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Hexameters
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Meters
Explanation
Explanation
A needle is a very small object, so its radius should be measured using a small unit of length. Millimeters are ideal for measuring very tiny distances with precision. Hectometers, hexameters, and meters are much too large for such a small measurement, making millimeters the most appropriate unit.
Correct Answer
Millimeters
A customer purchases a new TV and pays a total of $715 including the sales tax. The sales tax rate is 10%. Which of the following represents the cost of the TV before sales tax?
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$650
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$71
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$643.50
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$786.50
Explanation
Explanation
Let the original price of the TV before tax be x. A 10% sales tax means the total price paid is the original price plus 10% of that price. Therefore, the total price is 1.10x. Since the customer paid \(715 including tax, we set up the equation 1.10x = 715. Solving for x, we divide both sides by 1.10: x = 715/1.10 = 650. Thus, the cost of the TV before sales tax was\)650.
Correct answer:
$650
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