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Free Hesi A2_ Maths Questions

1.

Add: 5 1/3 + 3 1/2 =

  • 8 5/6
  • 8 2/5
  • 9 1/4
  • 8 2/6

Explanation

Explanation
Convert the mixed numbers to improper fractions: 5 1/3 = 16/3, 3 1/2 = 7/2. Find a common denominator, which is 6. Convert fractions: 16/3 = 32/6, 7/2 = 21/6. Add: 32/6 + 21/6 = 53/6. Convert back to a mixed number: 53 ÷ 6 = 8 remainder 5, giving 8 5/6. Therefore, the sum is 8 5/6.
Correct Answer
8 5/6
2.

Ratio and Proportion: 5: 1000 :: X: 500

  • X=0.25
  • X=2.5
  • X=1.5
  • X=10

Explanation

Explanation
Solve the proportion using cross-multiplication. The ratio 5:1000 :: X:500 means 5/1000 = X/500. Cross-multiplying gives 5 × 500 = 1000 × X, which simplifies to 2500 = 1000X. Dividing both sides by 1000 results in X = 2.5. Therefore, the value of X that maintains the proportion is 2.5.
Correct Answer
X = 2.5
3.

A school district has a student population of 5469 students. If the maximum class size is 20 students, how many more teachers must the district hire to supplement their staff of 230 teachers? (Enter numeric value only. Round to the nearest whole number.)

  • 44
  • 273
  • 274
  • 42

Explanation

Explanation
To determine the total number of teachers needed, divide the total number of students by the maximum class size: 5469 ÷ 20 ≈ 273.45. Rounding up, the district needs 274 teachers in total to accommodate all students. Since there are already 230 teachers, the district must hire 274 − 230 = 44 more teachers to meet the maximum class size requirement.
Correct Answer
44
4.

Ratio and Proportion: 450:15 = 225: X

  • X=7.5
  • X=30
  • X=15
  • X=60

Explanation

Explanation
Solve the proportion using cross-multiplication. The ratio 450:15 = 225:X means 450/15 = 225/X. Cross-multiply: 450 × X = 15 × 225, which gives 450X = 3375. Divide both sides by 450: X = 3375 ÷ 450 = 7.5. Therefore, the value of X that maintains the proportion is 7.5.
Correct Answer
7.5
5.

Compare the relationships of these numbers.
0.75 is ----------- to 0.57

  • less than
  • equal to
  • greater than
  • Equal or less than

Explanation

Explanation
To compare 0.75 and 0.57, examine the digits from left to right. The first digit after the decimal is 7 in 0.75 and 5 in 0.57. Since 7 > 5, 0.75 is greater than 0.57. Therefore, 0.75 is greater than 0.57.
Correct Answer
greater than
6.

Ratio and Proportion: 4:X:: 5:500 (Enter numeric value only.)

  • 300
  • 4000
  • 400
  • 40

Explanation

Explanation
This problem is solved using cross-multiplication for proportions. The given ratio 4:X::5:500 means 4 is to X as 5 is to 500. Using the proportion formula, 4/ X = 5 / 500, cross-multiply to get 4 × 500 = 5 × X, which simplifies to 2000 = 5X. Dividing both sides by 5 gives X = 400. Therefore, the value of X that maintains the same ratio is 400.
Correct Answer
400
7.

How many ounces are in 8 1/4 pints?

  • A. 136 oz
  • B. 132 oz
  • C. 128 oz
  • D. 2.25 oz

Explanation

Explanation
There are 16 ounces in 1 pint. Convert 8 1/4 pints to a decimal: 8 1/4 = 8.25 pints. Multiply by 16 to get the total ounces: 8.25 × 16 = 132 ounces. Therefore, 8 1/4 pints equals 132 ounces.
Correct Answer Is:
132 oz
8.

Ratio and Proportion: 0.4 : 40 :: X : 400

  • X=50
  • X=5
  • X=4
  • X=25

Explanation

Explanation
Use cross-multiplication to solve the proportion. Multiply 0.4 by 400 to get 160. Then divide 160 by 40 to isolate X. This gives X = 160 ÷ 40 = 4. Therefore, the value of X that keeps the ratio equivalent is 4.
Correct Answer
X=4
9.

Change 0.004 to a ratio.

  • 1:250
  • 2/500
  • 1:125
  • 4/1000

Explanation

Explanation
To convert a decimal to a ratio, write it as a fraction and simplify if possible.
0.004 = 4/1000.
Now reduce the fraction to lowest terms:
4/1000 = 1/250.
Therefore, the ratio in simplest form is 1:250, not 4:1000.
Correct Answer
1:250
10.

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

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