ratio and proportion 152000x200

HESI A2

HESI A2 Math Practice Test 2022

1. If the ratio and proportion 15:2000=x:200, what is the value of x?

A. 7
B. 0
C. 7,777
D. 1

Correct answer: D

Rationale: To find the value of x in the given ratio and proportion, we can set up the equation as 15:2000=x:200. Cross multiply to get x * 2000 = 15 * 200. Simplifying this gives x = 1. Therefore, the correct answer is D, which is 1. Choice A (7), Choice B (0), and Choice C (7,777) are incorrect as they do not match the correct calculation of x.

2. Rectangle: A picture frame measures 15cm by 20cm. What is its perimeter?

A. 30cm
B. 55cm
C. 65cm
D. 75cm

Correct answer: C

Rationale: To find the perimeter of a rectangle, you add the lengths of all sides. The formula for the perimeter of a rectangle is 2 * (length + width). In this case, the length is 15cm and the width is 20cm. Therefore, the perimeter = 2 * (15cm + 20cm) = 65cm. Choice A (30cm), Choice B (55cm), and Choice D (75cm) are incorrect as they do not correctly calculate the perimeter of the given rectangle.

3. Divide: 11 ÷ 5 =

A. 1.424
B. 1.622
C. 2.2
D. 2

Correct answer: C

Rationale: To divide 11 by 5, you need to perform the division operation. 11 divided by 5 equals 2.2. Therefore, the correct answer is C. Choice A (1.424) and Choice B (1.622) are incorrect as they do not result from the division of 11 by 5. Choice D (2) is close but not accurate, as the exact result of 11 divided by 5 is 2.2.

4. Convert the fraction 7/8 into a decimal and percent.

A. Decimal: 0.875, Percent: 87.5%
B. Decimal: 0.78, Percent: 78%
C. Decimal: 0.88, Percent: 88%
D. Decimal: 0.90, Percent: 90%

Correct answer: A

Rationale: To convert the fraction 7/8 into a decimal, you divide 7 by 8, which equals 0.875. To express this decimal as a percentage, you multiply it by 100 to get 87.5%. Choices B, C, and D are incorrect because they do not represent the correct conversion of the fraction 7/8 into a decimal and a percent.