ATI TEAS 7
TEAS Test Math Questions
1. What is the mean for the data set 16, 18, 17, 15, 19, 14, 12, 11, 10, 16, 18, and 17?
- A. 14.25
- B. 15.25
- C. 16
- D. 17
Correct answer: C
Rationale: To find the mean of a data set, you add up all the values and then divide by the total number of values. In this case, the sum of the data set is 185. Dividing this sum by the total number of values (12) gives you a mean of 16. Therefore, the correct answer is 16. Choice A (14.25), Choice B (15.25), and Choice D (17) are incorrect because they do not accurately represent the average value of the given data set.
2. Which of the following is listed in order from least to greatest? (-3/4, -7 4/5, -8, 18%, 0.25, 2.5)
- A. -3/4, -7 4/5, -8, 18%, 0.25, 2.5
- B. -8, -7 4/5, -3/4, 18%, 0.25, 2.5
- C. 18%, 0.25, -3/4, 2.5, -7 4/5, -8
- D. -8, -7 4/5, -3/4, 18%, 0.25, 2.5
Correct answer: D
Rationale: To arrange the numbers from least to greatest, we first compare the integers, then the fractions, and finally the percentages and decimals. The correct order is -8, -7 4/5, -3/4, 18%, 0.25, 2.5. Choice A is incorrect because it incorrectly orders the fractions. Choice B is incorrect because it incorrectly places -8 after the fractions. Choice C is incorrect because it starts with the percentages instead of the integers, leading to an incorrect order.
3. A book has a width of 5 decimeters. What is the width of the book in centimeters?
- A. 0.25 centimeters
- B. 25 centimeters
- C. 250 centimeters
- D. 0.025 centimeters
Correct answer: B
Rationale: To convert decimeters to centimeters, you need to multiply by 10 since 1 decimeter is equal to 10 centimeters. Therefore, to find the width of the book in centimeters, multiply 5 decimeters by 10: 5 decimeters * 10 = 50 centimeters. This means the width of the book is 50 centimeters, making choice B, "25 centimeters," the correct answer. Choices A, C, and D are incorrect because they do not correctly convert decimeters to centimeters.
4. Simplify the expression. Which of the following is correct? (52(3) + 3(-2)^2 / 4 + 3^2 - 2(5 - 8))
- A. 9/8
- B. 87/19
- C. 9
- D. 21/2
Correct answer: B
Rationale: To simplify the expression, apply the order of operations (PEMDAS). Begin by squaring -2 to get 4. Then perform the multiplication and subtraction within parentheses: 52(3) + 3(4)/4 + 9 - 2(5 - 8) = 156 + 12/4 + 9 - 2(3) = 156 + 3 + 9 - 6 = 168 + 3 - 6 = 171 - 6 = 165. Therefore, the correct simplified expression is 165, which is equivalent to 87/19. Choices A, C, and D are incorrect because they do not represent the accurate simplification of the given expression.
5. What is any number raised to the power of 1?
- A. Itself
- B. One
- C. Zero
- D. The number multiplied by 2
Correct answer: A
Rationale: The correct answer is A: 'Itself.' When any number is raised to the power of 1, it remains unchanged and is equal to itself. This is a fundamental property of exponents. Choice B, 'One,' is incorrect because raising a number to the power of 1 does not result in the answer being 1. Choice C, 'Zero,' is incorrect as any non-zero number raised to the power of 1 is itself, not zero. Choice D, 'The number multiplied by 2,' is incorrect because raising a number to the power of 1 does not involve multiplying it by 2.
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