ATI TEAS 7 — All Questions

A patient is prescribed 250 mg of medication three times per day. How many total milligrams will the patient take in one day?

• a.650 mg
• b.750 mg✓
• c.1000 mg
• d.500 mg

Multiply the dose by the number of times taken: 250 mg x 3 = 750 mg per day. This is a straightforward multiplication problem.

Solve for x: 3x + 7 = 22.

• a.5✓
• b.15
• c.9
• d.7

Subtract 7 from both sides: 3x = 15. Then divide both sides by 3: x = 5. Substituting back, 3(5) + 7 = 22 confirms the answer.

What is 15% of 80?

• a.10
• b.8
• c.15
• d.12✓

Convert 15% to a decimal (0.15) and multiply: 0.15 x 80 = 12. Alternatively, 10% of 80 is 8 and 5% is 4, so 8 + 4 = 12.

A recipe calls for 2/3 cup of flour. If you triple the recipe, how many cups of flour are needed?

• a.1 cup
• b.3 cups
• c.2 1/3 cups
• d.2 cups✓

Multiply 2/3 by 3: (2/3) x 3 = 6/3 = 2 cups. Tripling the recipe therefore requires 2 whole cups of flour.

Convert the fraction 3/5 to a percentage.

• a.35%
• b.60%✓
• c.50%
• d.65%

Divide 3 by 5 to get 0.6, then multiply by 100 to convert to a percent: 0.6 x 100 = 60%. So 3/5 equals 60%.

A car travels 150 miles in 3 hours. What is its average speed in miles per hour?

• a.50 mph✓
• b.45 mph
• c.75 mph
• d.60 mph

Average speed equals distance divided by time: 150 miles / 3 hours = 50 mph. The car averages 50 miles each hour.

What is the value of 4^2 + 3 x 2?

• a.44
• b.22✓
• c.20
• d.38

Follow order of operations. First exponents: 4^2 = 16. Then multiplication: 3 x 2 = 6. Finally addition: 16 + 6 = 22.

Simplify the ratio 12:18 to its lowest terms.

• a.6:9
• b.2:3✓
• c.1:2
• d.3:4

Divide both numbers by their greatest common factor, 6: 12/6 = 2 and 18/6 = 3. The simplified ratio is 2:3.

If a shirt originally costs $40 and is discounted by 25%, what is the sale price?

• a.$25
• b.$10
• c.$35
• d.$30✓

The discount is 25% of $40 = 0.25 x 40 = $10. Subtract the discount from the original: $40 - $10 = $30 sale price.

Solve for y: y/4 = 9.

• a.2.25
• b.45
• c.13
• d.36✓

Multiply both sides by 4 to isolate y: y = 9 x 4 = 36. Checking, 36/4 = 9 confirms the solution.

A rectangle has a length of 8 cm and a width of 5 cm. What is its area?

• a.13 cm^2
• b.26 cm^2
• c.45 cm^2
• d.40 cm^2✓

The area of a rectangle equals length times width: 8 cm x 5 cm = 40 cm^2. Area is always expressed in square units.

Convert 0.75 to a fraction in lowest terms.

• a.3/4✓
• b.2/3
• c.7/5
• d.1/4

0.75 equals 75/100. Divide numerator and denominator by their greatest common factor, 25: 75/25 = 3 and 100/25 = 4, giving 3/4.

The mean of five test scores is 82. What is the sum of all five scores?

• a.420
• b.410✓
• c.82
• d.400

The mean equals the sum divided by the count, so the sum equals the mean times the count. Multiply 82 by 5 to get a total of 410.

How many centimeters are in 2.5 meters? (1 meter = 100 centimeters)

• a.2500 cm
• b.205 cm
• c.250 cm✓
• d.25 cm

Multiply meters by 100 to convert to centimeters: 2.5 x 100 = 250 cm. There are 250 centimeters in 2.5 meters.

What is 3/4 + 1/8?

• a.4/12
• b.5/8
• c.7/8✓
• d.1/2

Find a common denominator of 8: 3/4 = 6/8. Then add: 6/8 + 1/8 = 7/8. The sum is 7/8.

A nurse works 12-hour shifts. How many shifts must she work to reach 60 hours?

• a.5✓
• b.6
• c.3
• d.4

Divide the total hours by the hours per shift: 60 / 12 = 5 shifts. She must work five shifts to reach 60 hours.

Evaluate the expression 2(x + 3) when x = 4.

• a.24
• b.11
• c.10
• d.14✓

Substitute x = 4: 2(4 + 3) = 2(7) = 14. Complete the parentheses first, then multiply by 2.

Which number is greater: 0.6 or 0.55?

• a.They are equal
• b.0.55
• c.Cannot be determined
• d.0.6✓

Compare place values by writing them with the same number of decimals: 0.60 versus 0.55. Since 60 hundredths is greater than 55 hundredths, 0.6 is greater.

A patient's fluid intake was 300 mL at breakfast, 450 mL at lunch, and 250 mL at dinner. What was the total intake?

• a.1000 mL✓
• b.1050 mL
• c.950 mL
• d.900 mL

Add the three amounts: 300 + 450 + 250 = 1000 mL. The patient's total fluid intake was 1000 milliliters.

Solve the proportion: 4/6 = x/9.

• a.4.5
• b.6✓
• c.3
• d.5

Cross-multiply: 4 x 9 = 6 times x, so 36 = 6x. Divide both sides by 6: x = 6. Thus x equals 6.

What is the perimeter of a square with a side length of 7 inches?

• a.14 inches
• b.49 inches
• c.21 inches
• d.28 inches✓

A square has four equal sides, so the perimeter equals 4 times the side length. Multiplying 4 by 7 gives a perimeter of 28 inches.

If 8 pens cost $6.40, what is the cost of one pen?

• a.$1.28
• b.$0.75
• c.$0.64
• d.$0.80✓

Divide the total cost by the number of pens: $6.40 / 8 = $0.80. Each pen costs 80 cents.

Round 3,847 to the nearest hundred.

• a.3,850
• b.4,000
• c.3,900
• d.3,800✓

The hundreds digit is 8, and the digit to its right (tens) is 4, which is less than 5, so round down. The result is 3,800.

A tank holds 240 liters and is 3/4 full. How many liters are in the tank?

• a.180 liters✓
• b.120 liters
• c.60 liters
• d.200 liters

Multiply the capacity by the fraction: 240 x 3/4 = 720/4 = 180 liters. The tank contains 180 liters.

Subtract: 5.6 - 2.85.

• a.3.25
• b.2.25
• c.2.75✓
• d.2.85

Align the decimals and subtract: 5.60 - 2.85 = 2.75. Adding a trailing zero to 5.6 makes the subtraction clearer.

A class has 18 girls and 12 boys. What percentage of the class is boys?

• a.45%
• b.60%
• c.40%✓
• d.30%

Total students = 18 + 12 = 30. Boys make up 12/30 = 0.4 = 40% of the class.

What is the value of the expression 36 / (4 + 2) x 3?

• a.18✓
• b.6
• c.12
• d.2

Order of operations: parentheses first, 4 + 2 = 6. Then work left to right: 36 / 6 = 6, and 6 x 3 = 18.

Convert 1/8 to a decimal.

• a.0.0125
• b.0.125✓
• c.0.18
• d.0.8

Divide 1 by 8: 1 / 8 = 0.125, so the fraction 1/8 equals the decimal 0.125. Answers like 0.0125, 0.18 and 0.8 come from misplacing the decimal point or from reading the digits 1 and 8 straight across.

What is 3/8 of 64?

• a.21 1/3
• b.32
• c.16
• d.24✓

Multiply: 64 x 3/8 = 192/8 = 24. Choosing 16 finds 2/8 of 64, choosing 32 finds half rather than three eighths, and 21 1/3 divides 64 by 3 instead of taking three eighths.

A clinic surveyed 250 patients, and 0.4 of them reported exercising weekly. How many patients reported exercising weekly?

• a.100✓
• b.40
• c.25
• d.1,000

Multiply 250 x 0.4 = 100. Answering 40 uses the digits of 0.4 without multiplying, 25 divides by 10, and 1,000 comes from multiplying by 4 instead of by 0.4.

Solve for x: 5x - 8 = 2x + 7

• a.3
• b.-5
• c.5✓
• d.15

Subtract 2x from both sides to get 3x - 8 = 7, add 8 to get 3x = 15, then divide by 3 for x = 5. The value 15 stops one step early, 3 divides 15 by 5 by mistake, and -5 reverses the sign.

How many ounces are in 3 pounds? (1 pound = 16 ounces)

• a.36
• b.19
• c.48✓
• d.30

Multiply 3 x 16 = 48 ounces. Adding instead of multiplying gives 19, 36 would use 12 ounces per pound, and 30 would use 10.

A patient weighs 165 pounds. What is the patient's weight in kilograms? (1 kilogram = 2.2 pounds)

• a.167.2 kg
• b.75 kg✓
• c.363 kg
• d.82.5 kg

Divide to convert to the larger unit: 165 / 2.2 = 75 kg. Multiplying by 2.2 gives 363, halving gives 82.5, and adding 2.2 gives 167.2, none of which is a conversion.

Subtract: 2 1/4 - 5/8

• a.1 5/8✓
• b.1 3/4
• c.1 1/8
• d.2 1/8

Rewrite 2 1/4 as 18/8 and subtract 5/8 to get 13/8, which is 1 5/8. Subtracting 1/2 instead of 5/8 gives 1 3/4, subtracting only 1/8 gives 2 1/8, and 1 1/8 subtracts a full 1 1/8 from the total.

Two nurses split a 64-hour schedule in a 3:5 ratio. How many hours does the nurse with the smaller share work?

• a.38.4
• b.24✓
• c.32
• d.40

The ratio has 3 + 5 = 8 parts, and 64 / 8 = 8 hours per part, so the smaller share is 3 x 8 = 24 hours. The value 40 is the larger share, 32 splits the schedule evenly, and 38.4 treats 3:5 as three fifths of the whole.

A monthly rent rose from $40 to $50 per parking space. What was the percent increase?

• a.125%
• b.20%
• c.25%✓
• d.10%

The increase is 10, and 10 / 40 = 0.25, which is 25 percent. Using 50 as the base gives 20 percent, 10 percent mistakes the raw increase for the rate, and 125 percent is the new rent as a share of the old rather than the increase.

What is the area of a triangle with a base of 12 cm and a height of 7 cm?

• a.84 square cm
• b.19 square cm
• c.38 square cm
• d.42 square cm✓

Area equals one half base times height: 0.5 x 12 x 7 = 42 square cm. Omitting the one half gives 84, adding the two numbers gives 19, and 38 matches no step in the area computation.

What is the approximate circumference of a circle with a diameter of 10 inches? (Use 3.14 for pi)

• a.62.8 inches
• b.78.5 square inches
• c.15.7 inches
• d.31.4 inches✓

Circumference equals pi times the diameter: 3.14 x 10 = 31.4 inches. The value 78.5 is the area, 15.7 uses the radius as if it were the diameter, and 62.8 doubles the correct result.

What is the median of the data set 4, 9, 2, 8, 15, 6?

• a.7✓
• b.8
• c.7.3
• d.6

Ordered, the set is 2, 4, 6, 8, 9, 15; with six values the median is the average of the middle two: (6 + 8) / 2 = 7. The values 6 and 8 are those middle numbers taken alone, and 7.3 is the mean rather than the median.

Divide: 7.2 / 0.9

• a.0.8
• b.8✓
• c.80
• d.6.48

Multiply both numbers by 10 to get 72 / 9 = 8. The answer 0.8 misplaces the decimal point, 80 shifts it the other way, and 6.48 is the product of the two numbers instead of the quotient.

A patient drank 1.75 liters of water. How many milliliters is that? (1 liter = 1,000 milliliters)

• a.175 mL
• b.1,750 mL✓
• c.17.5 mL
• d.0.00175 mL

Multiply 1.75 x 1,000 = 1,750 mL. The smaller values move the decimal the wrong number of places, and 0.00175 divides by 1,000 instead of multiplying.

Add and simplify: 5/8 + 1/6

• a.19/24✓
• b.1 1/24
• c.6/14
• d.5/48

The least common denominator is 24, giving 15/24 + 4/24 = 19/24. Adding numerators and denominators gives 6/14, multiplying the fractions gives 5/48, and 1 1/24 is larger than 1 even though both addends are less than 1.

Evaluate: -6 + 14 - (-3)

• a.-17
• b.8
• c.11✓
• d.5

Subtracting a negative adds, so the expression becomes -6 + 14 + 3 = 11. Treating the last term as -3 gives 5, treating every sign as negative gives -17, and 8 stops after -6 + 14 without the final term.

What is the value of 3^3 - 2^4?

• a.11✓
• b.43
• c.1
• d.19

3 cubed is 27 and 2 to the fourth is 16, so 27 - 16 = 11. Multiplying each base by its exponent instead gives 9 - 8 = 1, adding rather than subtracting gives 43, and using 2 cubed instead of 2 to the fourth gives 19.

Solve the inequality: 2x + 5 < 17

• a.x < 6✓
• b.x < 11
• c.x > 6
• d.x > 11

Subtract 5 to get 2x < 12, then divide by 2 for x < 6. Dividing is not by a negative number, so the inequality sign does not flip, and 11 comes from subtracting 5 without dividing.

On a map, 1 inch represents 25 miles. How many miles does 3.5 inches represent?

• a.62.5 miles
• b.75 miles
• c.87.5 miles✓
• d.28.5 miles

Multiply 3.5 x 25 = 87.5 miles. Adding the two numbers gives 28.5, dropping the half inch gives 75, and 62.5 would correspond to 2.5 inches.

What is the volume of a rectangular box measuring 4 cm by 3 cm by 5 cm?

• a.60 cubic cm✓
• b.94 square cm
• c.24 cubic cm
• d.12 cubic cm

Volume equals length times width times height: 4 x 3 x 5 = 60 cubic cm. The value 12 multiplies only two dimensions, 94 is the surface area, and 24 doubles only one face.

12 is what percent of 48?

• a.400%
• b.25%✓
• c.4%
• d.40%

Divide the part by the whole: 12 / 48 = 0.25, or 25 percent. The answer 4 percent uses the quotient 48/12 without converting, 400 percent inverts the fraction, and 40 percent would require a whole of 30 rather than 48.

An item costs $60 before tax. With 8% sales tax added, what is the total price?

• a.$60.48
• b.$55.20
• c.$68.00
• d.$64.80✓

The tax is 60 x 0.08 = 4.80, so the total is 60 + 4.80 = 64.80. Adding 8 dollars instead of 8 percent gives 68.00, subtracting the tax gives 55.20, and 60.48 misplaces the decimal in the tax.

A unit staffs 3 nurses for every 24 patients. At the same ratio, how many patients would 5 nurses cover?

• a.27
• b.120
• c.45
• d.40✓

Set up 3/24 = 5/x, cross multiply to get 3x = 120, so x = 40 patients. Adding 3 to 24 gives 27, 45 assumes 9 patients per nurse, and 120 multiplies 24 by 5 without dividing by 3.