HESI A2
HESI A2 Math
1. A baker can bake 4 cakes with 10 cups of sugar. If he has a 30-cup bag that is half full, how many cakes can he bake?
- A. 6 cakes
- B. 5 cakes
- C. 7 cakes
- D. 8 cakes
Correct answer: A
Rationale: If the 30-cup bag is half full, it contains 15 cups of sugar. Since 10 cups are needed to bake 4 cakes, the baker can bake 4 * (15 / 10) = 6 cakes. Therefore, the correct answer is 6 cakes. Choice B, 5 cakes, is incorrect as it does not consider the correct sugar-to-cake ratio. Choices C and D are incorrect as they do not accurately calculate the number of cakes based on the available sugar.
2. A cake recipe calls for 2½ cups of flour. How many cups are needed to make 6 cakes?
- A. 12.5 cups
- B. 13 cups
- C. 14 cups
- D. 15 cups
Correct answer: D
Rationale: To make one cake, you need 2½ cups of flour. To make 6 cakes, you would need 6 times the amount of flour for one cake, which is 2½ x 6 = 15 cups. Therefore, the correct answer is 15 cups. Choices A, B, and C are incorrect as they do not correctly calculate the total amount of flour needed for 6 cakes.
3. A set of temperature readings has a range of 5 degrees Celsius. What does this tell you about the data?
- A. The average temperature is 5 degrees Celsius.
- B. All temperatures are within 5 degrees of each other.
- C. The difference between the highest and lowest temperatures is 5 degrees.
- D. There are exactly 5 temperatures in the set.
Correct answer: C
Rationale: Option A is incorrect because the range of 5 degrees does not necessarily mean that the average temperature is 5 degrees Celsius. The average temperature could be any value within the range. Option B is incorrect because the range of 5 degrees does not mean that all temperatures are within 5 degrees of each other. It only indicates the difference between the highest and lowest temperatures. Option C is correct because the range of 5 degrees specifically refers to the difference between the highest and lowest temperatures in the set. This is a common definition of range in statistics. Option D is incorrect because the range of 5 degrees does not determine the number of temperatures in the set. The set could have more or fewer than 5 temperatures.
4. Express the number 1906 in Roman numerals.
- A. MCMIV
- B. MCMVI
- C. MDCCCCVI
- D. MCMVII
Correct answer: B
Rationale: To convert 1906 to Roman numerals, break it down into components: 1000 (M), 900 (CM), 6 (VI), resulting in MCMVI. Therefore, the correct Roman numeral representation for 1906 is MCMVI. Choice A (MCMIV) is incorrect as it represents 1904. Choice C (MDCCCCVI) is incorrect because it uses the subtractive notation incorrectly, and it's considered nonstandard. Choice D (MCMVII) is incorrect as it represents 1907, not 1906.
5. How many meters are in 2 kilometers?
- A. 100 meters
- B. 200 meters
- C. 2000 meters
- D. 3000 meters
Correct answer: C
Rationale: 1 kilometer equals 1,000 meters. Therefore, 2 kilometers equals 2,000 meters. Choice A, 100 meters, is incorrect as it represents only 1/10th of a kilometer. Choice B, 200 meters, is incorrect as it represents only 1/5th of a kilometer. Choice D, 3000 meters, is incorrect as it miscalculates the conversion from kilometers to meters.
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