Georgette Module 3 Questions With
Complete Solutions
Course
LMR Georgette’s PMHNP Certification
1. Simplifying Fractions
Question: Simplify the fraction 36/48.
Solution:
GCF of 36 and 48 is 12.
36 ÷ 12 = 3 and 48 ÷ 12 = 4
Answer: 3/4
2. Converting Percent to Decimal
Question: Convert 7.5% to a decimal.
Solution:
7.5 ÷ 100 = 0.075
Answer: 0.075
3. Solving a Proportion
Question: Solve for x in 4/5 = x/20.
Solution:
Cross multiply: 4 × 20 = 5x → 80 = 5x
Divide both sides by 5: x = 16
Answer: x = 16
4. Ratio Application
Question: A medication requires a dilution ratio of 1:4. How much water is needed to mix with
60 mL of medication?
Solution:
Water = 60 × 4 = 240 mL
Answer: 240 mL
5. Mean Calculation
Question: Find the mean of 5, 8, 12, 7, and 8.
Solution:
Sum = 5 + 8 + 12 + 7 + 8 = 40
Mean = 40 ÷ 5 = 8
Answer: 8
,6. Solving Linear Equation
Question: Solve 3x - 7 = 11
Solution:
Add 7 to both sides: 3x = 18
Divide by 3: x = 6
Answer: x = 6
7. Converting Fraction to Percent
Question: Convert 3/5 to a percent.
Solution:
3 ÷ 5 = 0.6 → 0.6 × 100 = 60%
Answer: 60%
8. Area of Rectangle
Question: Find the area of a rectangle with length 9 cm and width 4 cm.
Solution:
Area = 9 × 4 = 36 cm²
Answer: 36 cm²
9. Medication Dosage
Question: A patient is prescribed 250 mg of a drug. Each tablet contains 125 mg. How many
tablets are needed?
Solution:
250 ÷ 125 = 2
Answer: 2 tablets
10. Time Conversion
Question: Convert 2.75 hours to minutes.
Solution:
2.75 × 60 = 165 minutes
Answer: 165 minutes
11. Multiplying Decimals
Question: What is 3.2 × 0.4?
Solution:
, 3.2 × 0.4 = 1.28
Answer: 1.28
12. Dividing Decimals
Question: What is 4.5 ÷ 0.3?
Solution:
4.5 ÷ 0.3 = 15
Answer: 15
13. Percentage Increase
Question: A price increases from $80 to $100. What is the percentage increase?
Solution:
Increase = 100 - 80 = 20
(20 ÷ 80) × 100 = 25%
Answer: 25%
14. Order of Operations (BODMAS)
Question: Solve: 6 + 2 × (3 + 4)
Solution:
Step 1: Brackets → 3 + 4 = 7
Step 2: Multiply → 2 × 7 = 14
Step 3: Add → 6 + 14 = 20
Answer: 20
15. Volume of a Cube
Question: Find the volume of a cube with side length 5 cm.
Solution:
Volume = side³ = 5 × 5 × 5 = 125 cm³
Answer: 125 cm³
16. Converting cm to mm
Question: Convert 7.8 cm to millimeters.
Solution:
1 cm = 10 mm → 7.8 × 10 = 78 mm
Answer: 78 mm
Complete Solutions
Course
LMR Georgette’s PMHNP Certification
1. Simplifying Fractions
Question: Simplify the fraction 36/48.
Solution:
GCF of 36 and 48 is 12.
36 ÷ 12 = 3 and 48 ÷ 12 = 4
Answer: 3/4
2. Converting Percent to Decimal
Question: Convert 7.5% to a decimal.
Solution:
7.5 ÷ 100 = 0.075
Answer: 0.075
3. Solving a Proportion
Question: Solve for x in 4/5 = x/20.
Solution:
Cross multiply: 4 × 20 = 5x → 80 = 5x
Divide both sides by 5: x = 16
Answer: x = 16
4. Ratio Application
Question: A medication requires a dilution ratio of 1:4. How much water is needed to mix with
60 mL of medication?
Solution:
Water = 60 × 4 = 240 mL
Answer: 240 mL
5. Mean Calculation
Question: Find the mean of 5, 8, 12, 7, and 8.
Solution:
Sum = 5 + 8 + 12 + 7 + 8 = 40
Mean = 40 ÷ 5 = 8
Answer: 8
,6. Solving Linear Equation
Question: Solve 3x - 7 = 11
Solution:
Add 7 to both sides: 3x = 18
Divide by 3: x = 6
Answer: x = 6
7. Converting Fraction to Percent
Question: Convert 3/5 to a percent.
Solution:
3 ÷ 5 = 0.6 → 0.6 × 100 = 60%
Answer: 60%
8. Area of Rectangle
Question: Find the area of a rectangle with length 9 cm and width 4 cm.
Solution:
Area = 9 × 4 = 36 cm²
Answer: 36 cm²
9. Medication Dosage
Question: A patient is prescribed 250 mg of a drug. Each tablet contains 125 mg. How many
tablets are needed?
Solution:
250 ÷ 125 = 2
Answer: 2 tablets
10. Time Conversion
Question: Convert 2.75 hours to minutes.
Solution:
2.75 × 60 = 165 minutes
Answer: 165 minutes
11. Multiplying Decimals
Question: What is 3.2 × 0.4?
Solution:
, 3.2 × 0.4 = 1.28
Answer: 1.28
12. Dividing Decimals
Question: What is 4.5 ÷ 0.3?
Solution:
4.5 ÷ 0.3 = 15
Answer: 15
13. Percentage Increase
Question: A price increases from $80 to $100. What is the percentage increase?
Solution:
Increase = 100 - 80 = 20
(20 ÷ 80) × 100 = 25%
Answer: 25%
14. Order of Operations (BODMAS)
Question: Solve: 6 + 2 × (3 + 4)
Solution:
Step 1: Brackets → 3 + 4 = 7
Step 2: Multiply → 2 × 7 = 14
Step 3: Add → 6 + 14 = 20
Answer: 20
15. Volume of a Cube
Question: Find the volume of a cube with side length 5 cm.
Solution:
Volume = side³ = 5 × 5 × 5 = 125 cm³
Answer: 125 cm³
16. Converting cm to mm
Question: Convert 7.8 cm to millimeters.
Solution:
1 cm = 10 mm → 7.8 × 10 = 78 mm
Answer: 78 mm
