Hesi A2_ Maths practice questions with answers

Hesi A2_ Maths

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Free Hesi A2_ Maths Questions

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.

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

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.

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.

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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