Hesi A2_ Maths

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Free Hesi A2_ Maths Questions

1.

Compare the relationships of these numbers.
0.045 is ----------- to 0.054

  • less than

  • equal to

  • greater than

  • 0

Explanation

Explanation
To compare 0.045 and 0.054, examine the digits from left to right. In the hundredths place, 0.045 has 4 and 0.054 has 5. Since 4 is less than 5, 0.045 is less than 0.054. Therefore, 0.045 is less than 0.054.
Correct Answer
less than
2.

Ratio and Proportion: 3:X = 5:800

  • 480

  • 48

  • 240

  • 600

Explanation

Explanation
In a proportion a:b = c:d, the relationship is a/b = c/d. Here, 3/X = 5/800. Cross-multiply: 3 × 800 = 5 × X → 2400 = 5X → X = 2400 ÷ 5 = 480. Therefore, X equals 480.
Correct Answer Is:
480
3.

Ratio and Proportion: 0.5:20 :: X: 200

  • X=50

  • X=5

  • X=4

  • X=25

Explanation

Explanation
Solve the proportion using cross-multiplication. The ratio 0.5:20 :: X:200 means 0.5/20 = X/200. Cross-multiply: 0.5 × 200 = 20 × X, which gives 100 = 20X. Divide both sides by 20: X = 100 ÷ 20 = 5. Therefore, the value of X that maintains the proportion is 5.
Correct Answer
5
4.

3 gallons is equal to how many ounces?

  • 384 oz

  • 256 oz

  • 128 oz

  • 42 oz

Explanation

Explanation
There are 128 ounces in 1 gallon. To convert 3 gallons to ounces, multiply 128 × 3 = 384 ounces. Therefore, 3 gallons is equal to 384 ounces.
Correct Answer
384 oz
5.

How many gallons are in 576 fluid ounces?

  • 4 gallons

  • 288 gallons

  • 5 gallons

  • 4.5 gallons

Explanation

Explanation
There are 128 fluid ounces in 1 gallon. To convert 576 ounces to gallons, divide 576 by 128: 576 ÷ 128 = 4.5 gallons. Therefore, 576 fluid ounces is equal to 4.5 gallons.
Correct Answer
4.5 gallons
6.

104 divided by 0.002

  • 9052

  • 0.09052

  • 9.520

  • 9.052

Explanation

Explanation
To divide decimals, move the decimal point in both the dividend and divisor to make the divisor a whole number: 18.104 ÷ 0.002 → 18104 ÷ 2 = 9,052. Therefore, 18.104 divided by 0.002 equals 9,052.
Correct Answer Is:
9052
7.

Convert 0.75 to a ratio in simplest form.

  • 1:75

  • 5:7

  • 3:4

  • 7:5

Explanation

Explanation
To convert a decimal to a ratio, express it as a fraction: 0.75 = 75/100. Simplify the fraction by dividing numerator and denominator by their greatest common factor, 25: 75/100 = 3/4. Writing this as a ratio gives 3:4. Therefore, 0.75 as a ratio in simplest form is 3:4.
Correct Answer
3:4
8.

Solve the equation if x = 3
3x² − 2 1/3 x =

  • 10

  • 20

  • 12

  • 15

Explanation

Explanation
First substitute x = 3 into the expression.
Compute 3x²:
3 × 3² = 3 × 9 = 27
Convert 2 1/3 to an improper fraction:
2 1/3 = 7/3
Now compute (7/3) × 3 = 7
So the full expression becomes:
27 − 7 = 20
Therefore, the value of the expression when x = 3 is 20.
Correct Answer
20
9.

A newborn's birth weight is recorded as 6,067 grams, and there are 453.59 grams in a pound. What is this infant's weight in pounds and ounces?

  • 6 pounds, 13 ounces

  • 13 pounds, 6 ounces

  • 6 pounds, 6 ounces

  • 10 pounds, 13 ounces

Explanation

Explanation
Convert grams to pounds: 6,067 ÷ 453.59 ≈ 13.38 pounds. The whole number is 13 pounds. To find the remaining ounces, take the decimal part 0.38 pounds and multiply by 16 (since 1 pound = 16 ounces): 0.38 × 16 ≈ 6 ounces. Therefore, the newborn weighs approximately 13 pounds, 6 ounces.
Correct Answer
13 pounds, 6 ounces
10.

How many gallons are in 576 fluid ounces?

  • 288 gallons

  • 4.5 gallons

  • 5 gallons

  • 4 gallons

Explanation

There are 128 fluid ounces in one gallon. To convert ounces to gallons, divide:
576 ÷ 128.
Compute step-by-step:
128 × 4 = 512
576 − 512 = 64
64 ÷ 128 = 0.5
So, 576 ounces = 4 + 0.5 = 4.5 gallons.

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