ATI TEAS 7 — All Questions

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.

What is the mean of the scores 88, 92, 79, and 85?

• a.344
• b.86✓
• c.90
• d.85

The sum is 88 + 92 + 79 + 85 = 344, and 344 / 4 = 86. The value 344 is the sum before dividing, 85 is one of the scores, and 90 is a rounded guess rather than the computed average.

Convert 68 degrees Fahrenheit to degrees Celsius. (C = 5/9 x (F - 32))

• a.154 C
• b.20 C✓
• c.36 C
• d.100 C

Subtract first: 68 - 32 = 36, then 36 x 5/9 = 20 degrees Celsius. Stopping at 36 skips the multiplication, 154 applies the Fahrenheit formula backward, and 100 is the boiling point rather than a conversion of 68.

Write 0.375 as a fraction in lowest terms.

• a.3/8✓
• b.37/50
• c.375/100
• d.1/4

0.375 is 375/1,000, and dividing both parts by 125 gives 3/8. The fraction 375/100 misplaces the decimal and is not reduced, 1/4 equals 0.25, and 37/50 equals 0.74.

A car traveled 336 miles on 12 gallons of gasoline. What was its fuel economy in miles per gallon?

• a.24 mpg
• b.348 mpg
• c.32 mpg
• d.28 mpg✓

Divide distance by fuel: 336 / 12 = 28 miles per gallon. Adding the numbers gives 348, while 24 and 32 do not divide evenly into 336 with 12 gallons.

Evaluate: 18 - 3 x 4 + 6 / 2

• a.36
• b.33
• c.9✓
• d.6

Order of operations does multiplication and division first: 3 x 4 = 12 and 6 / 2 = 3, leaving 18 - 12 + 3 = 9. Working strictly left to right gives 33, and the other answers drop one of the three terms.

A straight line on a graph passes through the points (0, 2) and (4, 10). What is the slope of the line?

• a.8
• b.0.5
• c.2✓
• d.4

Slope is the change in y over the change in x: (10 - 2) / (4 - 0) = 8 / 4 = 2. The value 8 is only the rise, 0.5 inverts the ratio, and 4 is the run.

What is a 15% tip on a restaurant bill of $46.00?

• a.$4.60
• b.$9.20
• c.$69.00
• d.$6.90✓

Multiply 46 x 0.15 = 6.90. The value 4.60 is 10 percent, 9.20 is 20 percent, and 69.00 misplaces the decimal point in the product.

Solve for x: x/5 + 3 = 11

• a.8
• b.40✓
• c.70
• d.2.8

Subtract 3 to get x/5 = 8, then multiply both sides by 5 for x = 40. Stopping at 8 forgets the multiplication, 70 multiplies before subtracting, and 2.8 divides 14 by 5.

How many grams are in 3.5 kilograms? (1 kilogram = 1,000 grams)

• a.0.0035 g
• b.3,500 g✓
• c.350 g
• d.35 g

Multiply 3.5 x 1,000 = 3,500 grams. The other choices shift the decimal the wrong number of places or divide by 1,000 rather than multiplying.

A bag holds 4 red, 6 blue, and 10 green marbles. If one marble is drawn at random, what is the probability that it is red?

• a.1/5✓
• b.4/10
• c.1/4
• d.4/16

There are 4 + 6 + 10 = 20 marbles, so the probability is 4/20, which reduces to 1/5. The other choices leave one color out of the total or use the wrong count in the numerator.

An IV bag containing 1,000 mL is to infuse over 8 hours. What is the hourly rate?

• a.8,000 mL per hour
• b.80 mL per hour
• c.100 mL per hour
• d.125 mL per hour✓

Divide the volume by the time: 1,000 / 8 = 125 mL per hour. Multiplying instead gives 8,000, 80 divides 1,000 by 12.5, and 100 would empty the bag in 10 hours rather than 8.

A prescription orders 0.5 g of a medication. The tablets on hand are 250 mg each. How many tablets equal one dose?

• a.5 tablets
• b.0.5 tablets
• c.4 tablets
• d.2 tablets✓

Convert first: 0.5 g equals 500 mg, and 500 / 250 = 2 tablets. Answering 4 uses 1 g, 0.5 ignores the conversion entirely, and 5 would deliver 1,250 mg.

Reduce the ratio 45:60 to its lowest terms.

• a.5:6
• b.15:20
• c.3:4✓
• d.9:12

The greatest common factor of 45 and 60 is 15, and dividing both terms gives 3:4. The ratios 9:12 and 15:20 are equivalent but not fully reduced, and 5:6 is not equivalent at all.

Divide the fractions: 5/6 divided by 2/3

• a.5/9
• b.10/18
• c.2/5
• d.1 1/4✓

Multiply by the reciprocal: 5/6 x 3/2 = 15/12, which reduces to 1 1/4. Multiplying straight across without flipping gives 10/18, or 5/9 reduced, and 2/5 matches no step.

A coat priced at $85 is marked down 20%. What is the sale price?

• a.$65.00
• b.$102.00
• c.$68.00✓
• d.$17.00

The discount is 85 x 0.20 = 17, so the price becomes 85 - 17 = 68. The value 17 is the discount alone, 102 adds rather than subtracts it, and 65 subtracts a flat 20 dollars.

What is the perimeter of a rectangle that measures 9 meters by 4 meters?

• a.18 m
• b.26 m✓
• c.36 square m
• d.13 m

Perimeter is twice the sum of the sides: 2 x (9 + 4) = 26 meters. The value 36 square meters is the area, 13 adds the two sides only once, and 18 doubles only the longer side.

What is the mode of the data set 3, 7, 7, 2, 9, 7, 4?

• a.3
• b.5.6
• c.7✓
• d.4

The mode is the value that appears most often, and 7 appears three times while every other value appears once. The mean of the set is about 5.6, while 3 and 4 each appear only once and so cannot be the mode.

How many quarts are in 2.5 gallons? (1 gallon = 4 quarts)

• a.8 quarts
• b.10 quarts✓
• c.0.625 quarts
• d.6.5 quarts

Multiply 2.5 x 4 = 10 quarts. Adding gives 6.5, dividing by 4 gives 0.625, and 8 quarts would be only 2 gallons.

A child measures 4 feet 7 inches tall. What is that height in inches? (1 foot = 12 inches)

• a.55 inches✓
• b.51 inches
• c.47 inches
• d.67 inches

Four feet is 4 x 12 = 48 inches, and 48 + 7 = 55 inches. Writing the digits together gives 47, adding 12 once gives 51 by using only one foot, and 67 adds 12 to the correct answer.

Solve for x: 3(x - 2) = 18

• a.8✓
• b.4
• c.20
• d.6

Divide both sides by 3 to get x - 2 = 6, then add 2 for x = 8. The value 6 stops before adding 2, 4 divides 18 by 3 and then subtracts, and 20 adds 2 to 18 without dividing.

Which is the best estimate of 297 x 41?

• a.120,000
• b.800
• c.1,200
• d.12,000✓

Rounding to 300 x 40 gives 12,000, close to the exact product of 12,177. The other choices are off by a factor of ten or more, which estimation is meant to prevent.

Which of these fractions has the greatest value?

• a.3/5
• b.5/8
• c.2/3✓
• d.7/12

As decimals these are 0.625, about 0.667, about 0.583 and 0.600, so 2/3 is largest. Comparing numerators or denominators alone is unreliable, which is why 7/12 with the biggest denominator is actually the smallest here.

Express 0.00042 in scientific notation.

• a.4.2 x 10^-4✓
• b.0.42 x 10^-3
• c.4.2 x 10^4
• d.42 x 10^-5

Scientific notation needs one nonzero digit before the decimal point, and moving the point four places right gives 4.2 x 10^-4. A positive exponent would mean a large number, while 42 x 10^-5 and 0.42 x 10^-3 equal the right value but violate the one-digit rule.

An aide earns $18.50 per hour and works 36 hours in a week. What is the week's gross pay?

• a.$666.00✓
• b.$185.00
• c.$720.00
• d.$54.50

Multiply 18.50 x 36 = 666.00. Adding the two numbers gives 54.50, 185 multiplies by 10 instead of 36, and 720 would require a rate of 20 dollars an hour.

A household budget of $2,400 per month assigns 30% to rent. How much is budgeted for rent?

• a.$240
• b.$720✓
• c.$1,680
• d.$800

Multiply 2,400 x 0.30 = 720. The value 800 is one third rather than 30 percent, 1,680 is the 70 percent left over, and 240 is 10 percent.

A race is 10 kilometers long. Approximately how many miles is that? (1 mile = 1.6 kilometers)

• a.16 miles
• b.11.6 miles
• c.10 miles
• d.6.3 miles✓

Divide to convert: 10 / 1.6 = 6.25, about 6.3 miles. Multiplying by 1.6 gives 16 miles, adding gives 11.6, and 10 assumes a kilometer and a mile are the same length.

Two fifths of a class of 35 students passed on the first attempt. How many students was that?

• a.14✓
• b.7
• c.21
• d.17.5

Divide 35 by 5 to get 7, then multiply by 2 for 14 students. The value 7 is only one fifth, 21 is the three fifths who did not pass, and 17.5 is half the class.

Multiply the decimals: 0.6 x 0.05

• a.0.65
• b.0.3
• c.0.03✓
• d.0.003

Multiply 6 x 5 to get 30, then place three decimal places because the factors have one and two, giving 0.030 or 0.03. Using three zeros gives 0.003 and using one gives 0.3, both misplacing the decimal point, while 0.65 adds the factors instead of multiplying.

Solve for x: 7x = 3x + 24

• a.2.4
• b.24
• c.6✓
• d.10

Subtract 3x from both sides to get 4x = 24, then divide by 4 for x = 6. Dividing 24 by 10 gives 2.4, adding the coefficients gives 10, and 24 ignores the coefficient entirely.

Round 18.4762 to the nearest hundredth.

• a.18.48✓
• b.18.476
• c.18.5
• d.18.47

The hundredths digit is 7 and the digit to its right is 6, so the 7 rounds up to 8, giving 18.48. Answering 18.47 rounds down, 18.5 rounds to the tenth, and 18.476 rounds to the thousandth.

A rectangular room has an area of 72 square feet and a width of 6 feet. What is its length?

• a.432 feet
• b.66 feet
• c.12 feet✓
• d.36 feet

Divide the area by the known side: 72 / 6 = 12 feet. Multiplying gives 432, subtracting gives 66, and 36 halves the area rather than dividing by the width.

Three pounds of apples cost $7.47. What is the price per pound?

• a.$3.00
• b.$22.41
• c.$2.49✓
• d.$4.47

Divide the total by the weight: 7.47 / 3 = 2.49 per pound. Multiplying by 3 gives 22.41, subtracting 3 gives 4.47, and 3.00 would make the total 9.00.

Convert the fraction 7/8 to a percentage.

• a.78%
• b.8.75%
• c.114.3%
• d.87.5%✓

Divide 7 by 8 to get 0.875, then multiply by 100 for 87.5 percent. Reading the digits as 78 ignores the division, 8.75 percent misplaces the decimal, and 114.3 percent inverts the fraction to 8/7.

Add the mixed numbers: 3 1/2 + 2 3/4

• a.6 1/2
• b.5 1/4
• c.6 1/4✓
• d.5 4/6

Convert to quarters: 3 2/4 + 2 3/4 = 5 5/4, and 5/4 is 1 1/4, so the sum is 6 1/4. Adding numerators and denominators gives 5 4/6, while the other answers drop or misplace the extra quarter.

A nurse counts 18 heartbeats in 15 seconds. What is the heart rate in beats per minute?

• a.36 bpm
• b.18 bpm
• c.90 bpm
• d.72 bpm✓

Fifteen seconds is one quarter of a minute, so multiply by 4: 18 x 4 = 72 beats per minute. Doubling gives 36, multiplying by 5 gives 90, and 18 reports the raw count without scaling.