Hereβs a structured and student-friendly table that highlights real-life applications of high school math with examples:
Application | Description | Example | Solution Steps |
---|---|---|---|
Social Media Analytics | Measure engagement or growth rates. | A user has 500 followers and receives 125 likes on a post. What is the like-to-follower ratio? | 1. Write the ratio: 125 : 500. 2. Simplify: $\frac{125}{500}$ = $\frac{1}{4}$ Like-to-follower ratio = 1:4. |
Budgeting | Allocate income proportionally. | A student earns $400 per month and allocates 50% for expenses, 30% for savings, and 20% for entertainment. How much goes into each category? | Calculate each portion: Expenses: 400 $\times$ 0.5= 200, Savings: 400 $\times$ 0.3 = 120, Entertainment = 400 $\times$ 0.2 = 80. |
Cooking and Recipes | Adjust ingredient quantities for more servings. | A recipe for 4 people requires 2 cups of flour. How much flour is needed for 10 people? | 1. Set up a proportion: $\frac{2}{4}$ = $\frac{x}{10}$. 2. Cross-multiply: 4π₯=20 3. Solve: π₯=5. Flour needed = 5 cups. |
Health and Fitness | Calculate body-related metrics. | A person weighs 60 kg and is 1.6 m tall. What is their Body Mass Index (BMI)? $\text{Formula}$ : $\text{BMI}$ = $\frac{\text{weight}}{\text{height}^2}$ | 1. Plug in values: $\frac{60}{1.6^2}$ 2. Calculate: $1.6^2$= 2.56, $\frac{60}{2.56}$ $\approx$ 23.44, BMI = 23.44 |
Blueprints and Models | Scale dimensions for construction. | A model car is built to a scale of 1:20. If the car’s length on the model is 15 cm, what is the actual car’s length? | 1. Set up a proportion: $\frac{1}{20}$ = $\frac{15}{x}$. 2. Cross-multiply: π₯=15 $\times$ 20=300. Actual length = 300 cm (3 meters). |
Discounts | Find the sale price after a discount. | A t-shirt costs $50, and there is a 20% discount. What is the sale price? | 1. Calculate discount: 50 $\times$ 0.2 = 10. 2. Subtract: 50 $β$ 10 = 40 Sale price = $40. |
Maps | Use map scales for real distances. | A map scale is 1 : 1,00,000. If the distance between two cities is 5 cm on the map, what is the actual distance in kilometers? | 1. Convert cm to actual: 5 $\times$ 1,00,000 = 5,00,000 cm. 2. Convert to kilometers: 5,00,000 $\div$ 1,00,000 =5. Actual distance = 5 km. |
Photography | Maintain aspect ratios for resizing images. | An image has a width of 1200 px and a height of 800 px. If resized to a width of 600 px, what will the new height be? | 1. Set up a proportion: $\frac{1200}{800}$ = $\frac{600}{x}β$. 2. Cross-multiply: 1200π₯ =4,80,000 3. Solve: π₯= 400. New height = 400 px. |
Sports | Calculate performance metrics. | A basketball player scored 48 points in 12 games. What is the average points per game? | 1. Write the ratio: $\frac{48}{12}$. 2. Simplify: $\frac{48}{12}$ = 4. Average points per game = 4. |
Event Planning | Plan catering proportionally to guests. | For 50 guests, 10 pizzas are needed. How many pizzas are required for 120 guests? | 1. Set up a proportion: $\frac{10}{50}$ = $\frac{x}{120}$. 2. Cross-multiply: 50π₯ = 1200. 3. Solve: π₯ = 24. Pizzas needed = 24. |
This table gives students practical examples of how does high school math apply to real-world scenarios while reinforcing problem-solving techniques. If you want to test your skills, you can solve Aptitude Questions on Ratio & Proportions.