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
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
Add: 1/3 + 5/9 =
- 11/15
- 1/2
- 7/9
- 8/9
Explanation
To add fractions, first find a common denominator. The denominators are 3 and 9, and the least common denominator is 9. Convert 1/3 to 3/9. Then add: 3/9 + 5/9 = 8/9. The sum of 1/3 and 5/9 is therefore 8/9.
Correct Answer
8/9
How many ounces are in 3/4 pint?
- 10 1/2 oz
- 12 oz
- 4 oz
- 21 1/3 oz
Explanation
There are 16 ounces in 1 pint. To find the number of ounces in 3/4 of a pint, multiply 16 by 3/4: 16 × 3/4 = 12 ounces. Therefore, 3/4 pint is equal to 12 ounces.
Correct Answer
12 oz
How many ounces are in 3/8 pints?
- 10 oz
- 6 oz
- 4 oz
- 12 oz
Explanation
There are 16 ounces in 1 pint.
3/8 pint in ounces is:
(3/8) × 16 = 48/8 = 6 ounces
Correct Answer
6 oz
- 136 oz
- 132 oz
- 128 oz
- 2.25 oz
Explanation
8.25 × 16 = (8 × 16) + (0.25 × 16) = 128 + 4 = 132 ounces.
Therefore, 8 1/4 pints equals 132 ounces.
How many ounces are in 8 1/4 pints?
- 136 oz
- 132 oz
- 128 oz
- 2.25 oz
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
A farmer has 240 acres under cultivation at the cost of 188.99 per acre. If the average yield is 60 bushels per acre, what profit is expected if the price per bushel is 5.67?
- $14,400.00
- $36,290.40
- $79,490.40
- $45,357.60
Explanation
First, calculate the total revenue: 240 acres × 60 bushels/acre × $5.67 per bushel = 240 × 60 × 5.67 = $81,648. Next, calculate the total cost: 240 acres × $188.99 per acre = $45,357.60. Profit = Revenue − Cost = $81,648 − $45,357.60 = $36,290.40. Therefore, the expected profit is $36,290.40.
Correct Answer Is:
$36,290.40
Ratio and Proportion: 100 : 2 :: 60 : X. Find X.
- X = 1.2
- X = 1.6
- X = 12
- X = 2.2
Explanation
Set up the proportion:
100 / 2 = 60 / X
Compute the left side:
100 ÷ 2 = 50
So:
50 = 60 / X
Solve for X by cross-multiplying:
50X = 60
Divide both sides by 50:
X = 60 ÷ 50 = 1.2
Correct Answer
1.2
A man wants to get the best deal he can for gasoline, so he travels out of his way to buy gas at $2.14 a gallon instead of $2.26, which is the price at his local station. If he put 15.7 gallons in his tank, how much did he save by going to the less expensive station?
- $18.00
- $5.03
- $0.12
- $1.88
Explanation
To calculate the savings, find the difference in price per gallon: $2.26 − $2.14 = $0.12 per gallon. Multiply the difference by the number of gallons: 0.12 × 15.7 ≈ $1.884. Rounded to the nearest cent, he saved $1.88. Therefore, the savings by going to the less expensive station is $1.88.
Correct Answer
$1.88
Solve the equation if x = 2:
4x² − 13/2 x =
- 29
- 3
- 12
- 6
Explanation
To solve the expression, substitute x = 2 into 4x² − 13/2 x. First calculate 4(2²), which is 4 × 4 = 16. Next compute (13/2) × 2, which simplifies to 13. Subtracting these gives 16 − 13 = 3. Therefore, the value of the expression when x equals 2 is 3.
Correct Answer
3
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