Math

📘 Maths Formula Book (Chapter-wise)

Chapter 1: Average

$$ Average = \frac{\text{Sum of values}}{\text{Number of values}} $$

Example:
Numbers: 10, 20, 30 $$ Average = \frac{10+20+30}{3} = 20 $$

Practice Questions:

1. Find the average of 5, 10, 15, 20.
2. The average of 4 numbers is 25. Find their sum.

1️⃣ Average = 12.5
2️⃣ Sum = 25 × 4 = 100

Chapter 2: Percentage

$$ Percentage = \frac{Part}{Whole} \times 100 $$

Example:
50 out of 200 $$ \frac{50}{200} \times 100 = 25\% $$

Practice Questions:

1. What is 20% of 150?
2. 60 is what percent of 300?

1️⃣ 30
2️⃣ 20%

Chapter 3: Simple Interest

$$ SI = \frac{P \times R \times T}{100} $$

Example:
P = 1000, R = 10%, T = 2 years $$ SI = 200 $$

Practice Questions:

1. Find SI on ₹2000 at 5% for 3 years.
2. What is SI on ₹1500 for 2 years at 10%?

1️⃣ ₹300
2️⃣ ₹300

Chapter 4: Time & Distance

$$ Speed = \frac{Distance}{Time} $$ $$ Time = \frac{Distance}{Speed} $$

Example:
Distance = 120 km, Speed = 60 km/h $$ Time = 2 \text{ hours} $$

Practice Questions:

1. A car travels 180 km in 3 hours. Find speed.
2. How much distance will a train cover in 5 hours at 40 km/h?

1️⃣ 60 km/h
2️⃣ 200 km