the recipe states that 4 cups of sugar will make 144 cookies how many cups of sugar are needed to make 90 cookies
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HESI A2

HESI A2 Math Practice Test 2024

1. The recipe states that 4 cups of sugar will make 120 cookies. How many cups of sugar are needed to make 90 cookies?

Correct answer: A

Rationale: To find out how many cups of sugar are needed for 90 cookies when 4 cups make 120 cookies, set up a proportion: 4/120 = x/90. Cross multiply to get 120x = 4 * 90. Solve for x to find x = 360/120 = 3. Therefore, 3 cups of sugar are needed for 90 cookies. Choice B (2 cups), Choice C (1.5 cups), and Choice D (4 cups) are incorrect because they do not align with the correct proportion calculation. The correct calculation shows that 3 cups of sugar are required for 90 cookies, as the recipe proportionally reduces when making fewer cookies.

2. Which word is not spelled correctly in the context of the sentence? The chef rolled each meatball in a mixture of coarse flour and herbs.

Correct answer: B

Rationale: The correct word should be 'coarse' instead of 'course' in this context. 'Coarse' means composed of relatively large parts or particles, which is the intended meaning in the sentence as it describes the type of flour used for the meatballs. On the other hand, 'course' means a route or direction taken, which does not fit the context here.

3. Change 0.015 to a fraction.

Correct answer: A

Rationale: To convert 0.015 to a fraction, we can rewrite it as 15/1000. Simplifying this fraction, we get 3/200. Therefore, the correct answer is A. Choice B (3/2000) is incorrect as the decimal 0.015 is equivalent to 15/1000, not 15/2000. Choice C (15/1000) is the initial form of 0.015 as a fraction, but it can be further simplified to 3/200. Choice D (3/100) is incorrect as it does not represent the decimal 0.015.

4. When two long, parallel wires carry currents in the same direction, the wires will experience a force of:

Correct answer: D

Rationale: When two wires carry current in the same direction, they create magnetic fields that interact with each other. This interaction results in an attractive force between the wires due to the alignment of their magnetic fields. Choice A is incorrect because the force can be predicted based on the direction of the currents and the magnetic fields produced. Choice B is incorrect because when currents flow in the same direction, they do not repel each other. Choice C is incorrect because there is indeed a force present due to the interaction of magnetic fields, resulting in attraction between the wires.

5. How can water be boiled at room temperature?

Correct answer: A

Rationale: The boiling point of water is directly affected by pressure. By lowering the pressure, water can boil at a lower temperature, even at room temperature. This occurs because at lower pressures, the molecules of water have less resistance to escaping into the vapor phase, thus enabling boiling to occur at lower temperatures. Choices B, C, and D are incorrect because increasing the pressure, decreasing the volume, or raising the boiling point would actually require higher temperatures to boil water rather than achieving boiling at room temperature.

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