HESI A2
HESI A2 Math Practice Test 2023
1. Convert 0.25 to a fraction.
- A. 1/4
- B. 1/3
- C. 1/2
- D. 3/4
Correct answer: A
Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.25 can be written as 25/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives 1/4. Therefore, 0.25 expressed as a fraction is 1/4. Choices B, C, and D are incorrect as they represent different fractional values that do not correspond to 0.25.
2. A farmer wants to plant trees around the outside boundaries of his rectangular field with dimensions of 650 meters × 780 meters. Each tree requires 5 meters of free space all around it from the stem. How many trees can he plant?
- A. 572
- B. 568
- C. 286
- D. 282
Correct answer: C
Rationale: To determine the number of trees, reduce the field dimensions by 10 meters (5 meters of space on each side). The effective area is 640 meters × 770 meters. Each tree occupies 10 meters × 10 meters. Dividing the effective area by the space for each tree gives: (640 × 770) ÷ (10 × 10) = 286 trees. Choice A, B, and D are incorrect because they do not consider the reduction in field dimensions and the space required for each tree.
3. How many pounds are in 144 ounces?
- A. 12 pounds
- B. 10 pounds
- C. 8 pounds
- D. 9 pounds
Correct answer: D
Rationale: To convert ounces to pounds, you need to know that there are 16 ounces in a pound. Therefore, to find out how many pounds are in 144 ounces, you divide 144 by 16, which equals 9 pounds. Choice A, 12 pounds, is incorrect because it does not correctly divide the number of ounces by the conversion factor. Choices B and C, 10 pounds and 8 pounds respectively, are also incorrect as they do not utilize the correct conversion factor to calculate the number of pounds in 144 ounces.
4. How many liters are in 5000 milliliters?
- A. 5 liters
- B. 4 liters
- C. 6 liters
- D. 5.5 liters
Correct answer: A
Rationale: To convert milliliters to liters, you divide by 1000 since 1000 milliliters make up 1 liter. In this case, 5000 milliliters divided by 1000 milliliters per liter equals 5 liters (5000 mL ÷ 1000 mL/L = 5 L). Therefore, the correct answer is A: 5 liters. Choice B, 4 liters, is incorrect because 5000 milliliters is equivalent to 5 liters, not 4. Choice C, 6 liters, is incorrect as it is not the accurate conversion from milliliters to liters in this case. Choice D, 5.5 liters, is incorrect as it does not reflect the correct conversion of 5000 milliliters to liters, which is 5 liters.
5. A kite has a top base of 20cm, a bottom base of 30cm, and two equal side lengths of 15cm. What is its perimeter?
- A. 55cm
- B. 65cm
- C. 70cm
- D. 80cm
Correct answer: C
Rationale: To find the perimeter of a kite, you need to add the lengths of all its sides. In this case, the perimeter is calculated as the sum of the top base, bottom base, and twice the side length. Therefore, perimeter = top base + bottom base + 2 * side length = 20cm + 30cm + 2 * 15cm = 70cm. Choice A, B, and D are incorrect as they do not consider all sides of the kite in the calculation.
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