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Free Hesi A2_ Maths Questions

1.

Multiply: 1/2 × 1/2 × 2 3/5 × 2 7/9 =

  • 3 11/16
  • 2 2/9
  • 2 1/9
  • 1 29/36

Explanation

Explanation
Convert the mixed numbers to improper fractions:
2 3/5 = 13/5
2 7/9 = 25/9
Now multiply all fractions:
(1/2) × (1/2) × (13/5) × (25/9)
Step 1: Multiply the first two fractions:
1/2 × 1/2 = 1/4
Step 2: Multiply the other two:
13/5 × 25/9 = (13 × 25) / (5 × 9) = 325 / 45
Step 3: Multiply the results:
1/4 × 325/45 = 325/180
Simplify by dividing numerator and denominator by 5:
325 ÷ 5 = 65
180 ÷ 5 = 36
Final simplified fraction: 65/36
Convert to mixed number:
65 ÷ 36 = 1 remainder 29 → 1 29/36
Correct Answer
1 29/36
2. Which is the largest number?
  • A. 3/5
  • B. 3/15
  • C. 4/25
  • D. 4/19

Explanation

Convert each fraction to a decimal for comparison.
3/5 = 0.6
3/15 = 0.2
4/25 = 0.16
4/19 ≈ 0.21
Among these values, 0.6 is the greatest. Therefore, 3/5 is the largest number.
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.

Add: 5 1/3 + 3 1/2

  • A. 8/2/6
  • B. 8/2/5
  • C. 9/1/4
  • D. 8/5/6

Explanation

Explanation
First, convert mixed numbers to improper fractions: 5 1/3 = 16/3, 3 1/2 = 7/2. Find a common denominator: 3 and 2 → 6. Convert fractions: 16/3 = 32/6, 7/2 = 21/6. Add: 32/6 + 21/6 = 53/6. Convert back to mixed number: 53 ÷ 6 = 8 remainder 5 → 8 5/6. Therefore, the sum is 8 5/6.
Correct Answer Is:
8/5/6
5. Ratio and Proportion: 4 : 10 :: 5 : X
  • A. X = 12.5
  • B. X = 20
  • C. X = 25
  • D. X = 10.5

Explanation

Write the proportion as fractions:
4/10 = 5/X
Cross-multiply:
4X = 10 × 5
4X = 50
Solve for X:
X = 50 ÷ 4 = 12.5
Therefore, X = 12.5.
6.

Convert 1/5 to a decimal

  • 1.5
  • 0.2
  • 0.15
  • 0.5

Explanation

Explanation
To convert a fraction to a decimal, divide the numerator by the denominator. Here, 1 ÷ 5 = 0.2. Therefore, 1/5 expressed as a decimal is 0.2.
Correct Answer
0.2
7. How many ounces are in 3/4 pint?
  • A. 10 1/2 oz
  • B. 12 oz
  • C. 21 1/3 oz
  • D. 4 oz

Explanation

There are 16 ounces in one pint. To find how many ounces are in 3/4 of a pint, multiply 16 by 3/4. Calculation: 16 × 0.75 = 12. Therefore, 3/4 pint equals 12 ounces.
8. Convert 11:32 A.M. to Military time. (Enter the numerical value only.)
  • A. 2332
  • B. 1132
  • C. 0032
  • D. 1532

Explanation

To convert A.M. times to military time, the hours remain the same unless it is 12 A.M. (midnight). Since 11:32 A.M. is before noon, the time stays 11:32. In military format, remove the colon and use four digits: 1132. Therefore, 11:32 A.M. converts to 1132.
9.

A library contains 67,982 books. The children's section represents 1/3 of the total books. Of the remaining books, 75% are fiction. How many books are in the non-fiction section?

  • 45,321
  • 50,986
  • 33,990
  • 11,330

Explanation

Explanation
First, calculate the number of books outside the children's section: 1 − 1/3 = 2/3 of the total books. 2/3 of 67,982 ≈ 45,321 books. Of these, 75% are fiction, leaving 25% as non-fiction. Calculate the non-fiction books: 25% of 45,321 = 0.25 × 45,321 ≈ 11,330 books. Therefore, the non-fiction section contains approximately 11,330 books.
Correct Answer
11,330
10.

Add: 1 2/3 + 4/7, reduced to lowest terms =

  • 1 2/5
  • 1 26/21
  • 2 5/21
  • 2 3/21

Explanation

Explanation
First, convert 1 2/3 to an improper fraction: 1 2/3 = 5/3. The second fraction is 4/7. Find the least common denominator, which is 21. Convert fractions: 5/3 = 35/21, 4/7 = 12/21. Add: 35/21 + 12/21 = 47/21. Convert 47/21 to a mixed number: 2 5/21. Therefore, the sum is 2 5/21.
Correct Answer
2 5/21

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