What this section covers: Numbers and algebra, Measurement and data.
15 free practice questions
Click an answer: you see at once whether it is right, with the explanation.
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Question 1What is 0.45 written as a fraction in simplest form?
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Answer: C — 9/20.
0.45 = 45/100. Dividing the numerator and denominator by their greatest common factor, 5, gives 9/20.
Checked against: ATI TEAS exam details — Mathematics, Numbers and algebra (fractions, decimals and percents)
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Question 2Which list orders the numbers from least to greatest?
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Answer: C — 5/9, 0.58, 3/5, 62%.
Convert each value to a decimal: 5/9 is about 0.556, 0.58, 3/5 = 0.60 and 62% = 0.62. In that order they increase.
Checked against: ATI TEAS exam details — Mathematics, Numbers and algebra (ordering rational numbers)
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Question 3What is 3 1/2 × 1 2/3?
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Answer: B — 5 5/6.
Convert to improper fractions first: 7/2 × 5/3 = 35/6 = 5 5/6. Multiplying the whole numbers and the fractions separately (3 × 1 and 1/2 × 2/3) gives the wrong result 3 1/3.
Checked against: ATI TEAS exam details — Mathematics, Numbers and algebra (operations with rational numbers)
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Question 4Solve for x: 4(x - 3) = 2x + 10
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Answer: D — x = 11.
Distribute: 4x - 12 = 2x + 10. Subtract 2x: 2x - 12 = 10. Add 12: 2x = 22, so x = 11. Distributing only to x (4x - 3) leads to 6.5.
Checked against: ATI TEAS exam details — Mathematics, Numbers and algebra (equations)
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Question 5Which equation represents the sentence "Seven less than twice a number n is 15"?
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Answer: D — 2n - 7 = 15.
"Twice a number" is 2n, and "seven less than" it means subtract 7 from 2n: 2n - 7 = 15. The order matters: 7 - 2n is "2n less than seven".
Checked against: ATI TEAS exam details — Mathematics, Numbers and algebra (translating words into expressions)
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Question 6Solve the inequality: -3x + 5 is greater than or equal to 20.
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Answer: D — x is less than or equal to -5.
Subtract 5: -3x is greater than or equal to 15. Dividing by a negative number reverses the inequality sign: x is less than or equal to -5.
Checked against: ATI TEAS exam details — Mathematics, Numbers and algebra (inequalities)
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Question 7After a 20% discount, a blood pressure cuff costs $36. What was the original price?
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Answer: A — $45.00.
The sale price is 80% of the original: 0.80 × p = 36, so p = 36 ÷ 0.80 = $45.00. Adding 20% of $36 ($43.20) uses the wrong base.
Checked against: ATI TEAS exam details — Mathematics, Numbers and algebra (percent problems)
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Question 8A liquid contains 250 mg of an ingredient in every 5 mL. How many milliliters contain 400 mg of the ingredient?
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Answer: B — 8 mL.
The concentration is 250 mg ÷ 5 mL = 50 mg per mL. So 400 mg ÷ 50 mg/mL = 8 mL. Setting the proportion upside down gives 3.125 mL.
Checked against: ATI TEAS exam details — Mathematics, Numbers and algebra (ratios and proportions)
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Question 9How many grams are in 3.5 kilograms?
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Answer: B — 3,500 g.
1 kilogram = 1,000 grams, so 3.5 kg × 1,000 = 3,500 g. Dividing by 1,000 gives 0.0035, which moves the decimal the wrong way.
Checked against: ATI TEAS exam details — Mathematics, Measurement and data (unit conversions)
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Question 10A daily amount of 0.5 g of a vitamin is needed. Each tablet contains 250 mg. How many tablets provide the daily amount? (1 g = 1,000 mg)
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Answer: C — 2 tablets.
Convert grams to milligrams first: 0.5 g × 1,000 = 500 mg. Then 500 mg ÷ 250 mg per tablet = 2 tablets. Skipping the conversion leads to answers like 0.5.
Checked against: ATI TEAS exam details — Mathematics, Measurement and data (unit conversions)
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Question 11Using F = (9/5)C + 32, what is 38°C in degrees Fahrenheit?
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Answer: D — 100.4°F.
(9/5) × 38 = 68.4, and 68.4 + 32 = 100.4°F. Forgetting to add 32 leaves 68.4, and adding 32 before multiplying gives (38 + 32) × 9/5 = 126.
Checked against: ATI TEAS exam details — Mathematics, Measurement and data (unit conversions)
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Question 12What is the perimeter of a rectangle that is 14 feet long and 9 feet wide?
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Answer: A — 46 feet.
Perimeter = 2 × (length + width) = 2 × (14 + 9) = 46 feet. Adding the two sides only once gives 23, and 126 is the area in square feet.
Checked against: ATI TEAS exam details — Mathematics, Measurement and data (geometry)
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Question 13A nurse records the number of calls answered each hour: 4, 8, 8, 2, 9, 4, 8, 3. What is the mode?
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Answer: C — 8.
The mode is the value that appears most often: 8 appears three times. The choices 7, 6 and 5.75 are the range, median and mean.
Checked against: ATI TEAS exam details — Mathematics, Measurement and data (statistics)
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Question 14A clinic's table of weekly visits shows: Monday 42, Tuesday 38, Wednesday 51, Thursday 45, Friday 34. Between which two consecutive days did visits increase the most?
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Answer: B — Tuesday to Wednesday.
Changes: Monday to Tuesday -4, Tuesday to Wednesday +13, Wednesday to Thursday -6, Thursday to Friday -11. The only increase, and the largest, is Tuesday to Wednesday.
Checked against: ATI TEAS exam details — Mathematics, Measurement and data (tables and graphs)
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Question 15A study measures how the amount of fertilizer given to plants affects their height after 6 weeks. What is the independent variable?
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Answer: B — The amount of fertilizer.
The independent variable is the one the researcher changes on purpose: the amount of fertilizer. Plant height is the dependent variable because it responds to the change.
Checked against: ATI TEAS exam details — Mathematics, Measurement and data (relationships between variables)
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