ATI TEAS Version 7 - Math

ATI TEAS Version 7 - Math

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Free ATI TEAS Version 7 - Math Questions

1.

A farmer plants 4 apple trees for every 3 pecan trees in the orchard. She plants 2 peach trees for every 5 pecan trees. If the farmer plants 24 peach trees, how many apple trees are in the orchard?

  • 80 apple trees

  • 60 apple trees

  • 96 apple trees

  • 48 apple trees

Explanation

Explanation

The ratio of peach trees to pecan trees is 2:5. If there are 24 peach trees, divide 24 by 2 to find the scale factor, which is 12. Multiply the pecan portion of the ratio by this factor: 5 * 12 = 60 pecan trees. Next, use the ratio of apple trees to pecan trees, which is 4:3. For every 3 pecan trees there are 4 apple trees. With 60 pecan trees, divide 60/3 = 20 groups. Multiply by 4 to find the number of apple trees: 20 * 4 = 80 apple trees.

Correct answer:

80 apple trees


2.

A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer's friend paid for their car. Which of the following is the amount that the friend paid for their car

  • $23,000

  • $46,000

  • $25,000

  • $50,000

Explanation

Correct Answer C. $25,000

Explanation of Correct Answer:

Let the amount the friend paid be x.

According to the problem, the consumer paid $2,000 less than twice that amount:

So,

2x − 2,000 = 48,000

Now solve the equation:

2x − 2,000 = 48,000


Add 2,000 to both sides:

2x = 50,000

Divide by 2:

x = 25,000

So, the friend paid $25,000
.

Why the Other Options Are Incorrect:

A. $23,000

If the friend paid $23,000, then twice that is $46,000, and $46,000 minus $2,000 is $44,000 — not $48,000.

B. $46,000

Twice $46,000 is $92,000, and $92,000 minus $2,000 is $90,000 — way too high. This does not fit the condition in the problem.

D. $50,000

Twice $50,000 is $100,000, minus $2,000 is $98,000 — much too high. This also does not fit the problem conditions.


3.

It takes 3 ¼ hours to go from Harborton to Lane. It takes 5 ⅔ hours to go from Lane to Benville. How much longer does it take to go from Lane to Benville than from Harborton to Lane?

  • 8 ¹¹⁄₁₂ hours

  • 2 ¹⁄₁₂ hours

  • 2 ⁵⁄₁₂ hours

  • 8 ⁵⁄₁₂ hours

Explanation

Correct Answer:

2 ⁵⁄₁₂ hours

Explanation:

We are comparing two durations:

From Harborton to Lane = 3 ¼

From Lane to Benville = 5 ⅔

Convert both to improper fractions:

3 ¼ = 13⁄4

5 ⅔ = 17⁄3

To subtract, use a common denominator (LCM of 4 and 3 is 12):

13⁄4 = 39⁄12

17⁄3 = 68⁄12

Now subtract:

68⁄12 − 39⁄12 = 29⁄12

29⁄12 = 2 ⁵⁄₁₂

Why Other Options Are Wrong:

8 ¹¹⁄₁₂ hours


This is much more than either time individually and might result from mistakenly adding the two durations instead of subtracting.

2 ¹⁄₁₂ hours

This underestimates the correct difference. It may result from a subtraction error when working with mixed numbers or fractions.

8 ⁵⁄₁₂ hours

This also appears to be the sum of one time plus the correct difference, rather than the difference itself. It's not the answer to the question asked.


4.

A jar contains 10 red marbles, 6 blue marbles, and 2 green marbles. A marble is randomly selected from the jar without looking. Which of the following is the probability that the marble chosen is neither blue nor green?

  • 1/9

  • 4/9

  • 5/9

  • 3/9

Explanation

Explanation

First determine the total number of marbles in the jar. There are 10 red, 6 blue, and 2 green marbles, giving a total of 10 + 6 + 2 = 18 marbles. A marble that is neither blue nor green must be red, since those are the only other marbles available. Therefore, the number of favorable outcomes is 10 red marbles out of 18 total marbles. The probability is 10/18, which simplifies by dividing both numbers by 2 to get 5/9.

Correct answer:

5/9


5.

A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

  • 5 packs of Cream Soda

  • 3 packs of Orange

  • 2 packs of Root Beer and 1 pack of Cream Soda

  • 2 packs of Orange and 1 pack of Cream Soda

Explanation

Explanation

Calculate total drinks and costs:

● 5 Cream Sodas: 5×12 = 60 drinks, cost = 5×$10 = $50.

● 3 Oranges: 3×24 = 72 drinks, cost = $20 (two-pack deal) + $15 (single) = $35.

● 2 Root Beers + 1 Cream Soda: 48 + 12 = 60 drinks, cost = $36 + $10 = $46.

● 2 Oranges + 1 Cream Soda: 48 + 12 = 60 drinks, cost = $20 + $10 = $30.

The lowest cost is $30.

Correct Answer

2 packs of Orange and 1 pack of Cream Soda


6.

A farmers' market sells 80 pounds of bananas for $23.20. Which of the following is the cost of 5 pounds of bananas?

  • $1.16

  • $1.45

  • $4.64

  • $17.24

Explanation

Correct Answer:

$1.45

Explanation:

To find the cost of 5 pounds of bananas, first determine the unit price per pound by dividing $23.20 by 80. That gives $0.29 per pound. Then multiply $0.29 by 5 to get the cost for 5 pounds. 0.29×5=1.450.29 \times 5 = 1.450.29×5=1.45. Therefore, 5 pounds of bananas cost $1.45.

Why Other Options Are Wrong:

$1.16


This is too low to be correct. It suggests a price of about $0.23 per pound, which does not match the given total of $23.20 for 80 pounds. This answer may result from an incorrect division or misplacement of the decimal when calculating. It underestimates the correct unit price.

$4.64

This is too high for 5 pounds. It implies a unit price of approximately $0.93 per pound, which is much higher than the actual $0.29 per pound. This answer may come from using incorrect proportions or accidentally using the price for a higher weight. It overestimates the value.

$17.24

This option is significantly too high and suggests a unit price of over $3.44 per pound. This doesn’t match the original pricing data of 80 pounds for $23.20. It is possible this value was chosen by mistakenly reversing the ratio or confusing the total price for a much smaller quantity.


7.

If the diameter of a circular pond is 25 feet (ft), which of the following is the closest approximation of its circumference? (Approximate pi to 3.14.)

  • 157 ft

  • 68.5 ft

  • 39.3 ft

  • 78.5 ft

Explanation

Correct Answer:

78.5 ft

Explanation:

The formula for the circumference of a circle is:

C = π × diameter

Substitute the values:

C = 3.14 × 25


    = 78.5 ft

So, the circumference is approximately 78.5 feet
.

Why Other Options Are Wrong:

157 ft

This would be the result of multiplying 3.14 by 50, not 25. It’s nearly double the actual circumference.

68.5 ft

This would be the result of using a diameter of around 21.8 ft, which is less than the actual value. It's an underestimate.

39.3 ft

This would be the result of multiplying 3.14 by about 12.5, which is half the actual diameter. This is far too low.


8.

The box plot represents a data set. Which of the following is the range of data?

  • 40

  • 44

  • 92

  • 80

Explanation

Explanation

The range of a data set is calculated as the difference between the maximum value and the minimum value. From the box plot, the minimum value is 12 and the maximum value is 92. Thus, the range is 92 - 12 = 80.

Correct Answer

80


9.

A math teacher obtained the following scores from a class of 45 students. Which of the following is the best way to display the frequency of each day of the week?

  • Scatterplot

  • Pie graph

  • Line graph

  • Histogram

Explanation

Explanation

The table provides the frequency of test scores for a class of 45 students across different score ranges, and a histogram is the best way to display this frequency data as it effectively shows the distribution of scores in intervals.

Correct Answer

Histogram


10.

A worker makes $250 a week. Which of the following represents their take-home pay if taxes and retirement benefits are subtracted by 15%?

  • $212.50

  • $37.50

  • $175

  • $230

Explanation

Explanation:

To find the take-home pay, first calculate the deduction amount.

15% of $250 = (15 ÷ 100) × 250 = 0.15 × 250 = $37.50.

Then subtract this deduction from the total salary:

$250 − $37.50 = $212.50.

Therefore, the worker’s take-home pay after deductions is $212.50.

Correct Answer:

$212.50


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