a kite has a top base of 20cm a bottom base of 30cm and two equal side lengths of 15cm what is its perimeter
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HESI A2

HESI A2 Math Practice Test 2024

1. A kite has a top base of 20cm, a bottom base of 30cm, and two equal side lengths of 15cm. What is its perimeter?

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.

2. 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.

3. Olivia’s Bakery gives out one extra cupcake for each dozen sold, to make a “baker’s dozen” of 13 in all. How many extra cupcakes does the bakery add to a special order of 180 cupcakes?

Correct answer: B

Rationale: Olivia’s Bakery gives out one extra cupcake for each dozen sold. For a special order of 180 cupcakes, there would be 180 cupcakes ÷ 12 cupcakes per dozen = 15 dozens. Therefore, the bakery adds 15 extra cupcakes to make a 'baker's dozen' of 13 in all for each dozen, resulting in a total of 15 extra cupcakes added to the special order. The correct answer is 13 (choice B) because the bakery adds one extra cupcake to each dozen, making a 'baker's dozen' of 13.

4. Express the number 1906 in Roman numerals.

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. If a marathon runner burns 2276 calories in 21.4 miles, what is their rate of calories burned per mile?

Correct answer: B

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total miles run: 2276 ÷ 21.4 ≈ 106.4 calories per mile. This calculation gives the average number of calories burned for each mile of the marathon. Choice A, 107.5, is incorrect as it does not match the precise calculation result. Choices C and D are also incorrect as they are not the accurate rate of calories burned per mile based on the given data.

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