HESI A2
HESI A2 Math Practice Exam
1. How many more yellow balls must be added to the basket to make the yellow balls constitute 65% of the total number of balls?
- A. 35
- B. 50
- C. 65
- D. 70
Correct answer: B
Rationale: To find the total number of balls needed to make the yellow balls 65% of the total, let x be the total number of balls required. Initially, there are 15 yellow balls. The total number of balls would be 15 + x after adding more yellow balls. The equation to represent this is: (15 + x) / (15 + x) = 0.65 (since the yellow balls need to constitute 65% of the total). Solving this equation gives x = 50, indicating that 50 more yellow balls need to be added to the basket to reach the desired percentage. Choice A, C, and D are incorrect as they do not accurately represent the additional yellow balls needed to achieve the specified percentage.
2. Convert 3/8 to a decimal.
- A. 0.25
- B. 0.25
- C. 0.3
- D. 0.375
Correct answer: D
Rationale: To convert 3/8 to a decimal, divide 3 by 8: 3 ÷ 8 = 0.375. The correct answer is 0.375. Choice A (0.25), Choice B (0.25), and Choice C (0.3) are incorrect because they do not represent the equivalent decimal value of 3/8.
3. If you have 4 kilograms, how many grams would you have?
- A. 400 grams
- B. 4000 grams
- C. 40 grams
- D. 100 grams
Correct answer: B
Rationale: In the metric system, there are 1000 grams in 1 kilogram. To convert kilograms to grams, you multiply the number of kilograms by 1000. Therefore, 4 kilograms would equal 4000 grams. Choice A (400 grams) is incorrect because it is the result of multiplying by 100, not 1000. Choice C (40 grams) is incorrect as it is the result of dividing by 1000 instead of multiplying. Choice D (100 grams) is incorrect as it is a random figure and not the correct conversion from kilograms to grams.
4. Subtract 5/6 - 3/4.
- A. 1/12
- B. 2/24
- C. 1/2
- D. 1/8
Correct answer: A
Rationale: To subtract fractions, find a common denominator. The common denominator for 6 and 4 is 12. So, 5/6 = 10/12 and 3/4 = 9/12. Subtracting 10/12 - 9/12 gives us 1/12 as the result. Choice A, 1/12, is the correct answer because it represents the simplified result of subtracting the fractions with the common denominator. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result of 1/12 after finding the common denominator.
5. A child's toy block is a cube with side lengths of 5cm. What is its total surface area?
- A. 25 sq cm
- B. 50 sq cm
- C. 125 sq cm
- D. 150 sq cm
Correct answer: D
Rationale: The surface area of a cube is calculated using the formula: 6 * (side length)^2. Substituting the side length of 5cm into the formula, we get: 6 * (5cm)^2 = 6 * 25cm^2 = 150 sq cm. Therefore, the total surface area of the toy block is 150 sq cm. Choices A (25 sq cm), B (50 sq cm), and C (125 sq cm) are incorrect as they do not correctly calculate the total surface area of the cube.
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