New general mathematics for ss1 solutions

Here are some solutions to general mathematics problems for SS1 students:

Chapter 1: Number Systems

  1. Simplify the expression: 2x + 5 + 3x - 2 Solution: Combine like terms: 2x + 3x = 5x, so the simplified expression is 5x + 3.
  2. Solve the equation: 2x + 3 = 7 Solution: Subtract 3 from both sides: 2x = 4, then divide both sides by 2: x = 2.
  3. Find the value of x in the equation: x - 2 = 5 Solution: Add 2 to both sides: x = 7.

Chapter 2: Algebra

  1. Solve the equation: x + 2 = 9 Solution: Subtract 2 from both sides: x = 7.
  2. Solve the equation: 2x - 3 = 5 Solution: Add 3 to both sides: 2x = 8, then divide both sides by 2: x = 4.
  3. Solve the equation: x - 4 = 2 Solution: Add 4 to both sides: x = 6.

Chapter 3: Geometry

  1. Find the perimeter of a rectangle with length 6cm and width 4cm. Solution: Perimeter = 2(length + width) = 2(6 + 4) = 2 x 10 = 20cm.
  2. Find the area of a triangle with base 5cm and height 6cm. Solution: Area = (base x height) / 2 = (5 x 6) / 2 = 15cm^2.
  3. Find the volume of a cube with edge length 3cm. Solution: Volume = edge^3 = 3^3 = 27cm^3.

Chapter 4: Measurement

  1. Convert 25cm to meters. Solution: 1 meter = 100cm, so 25cm = 25/100 = 0.25m.
  2. Convert 3.5 liters to milliliters. Solution: 1 liter = 1000 milliliters, so 3.5 liters = 3.5 x 1000 = 3500 milliliters.
  3. Convert 45 degrees Celsius to Fahrenheit. Solution: Fahrenheit = (Celsius x 9/5) + 32, so 45°C = (45 x 9/5) + 32 = 113°F.

Chapter 5: Data Handling

  1. Find the mean of the following data: 2, 4, 6, 8, 10 Solution: Add the numbers: 2 + 4 + 6 + 8 + 10 = 30, then divide by the number of values: 30/5 = 6.
  2. Find the median of the following data: 1, 3, 5, 7, 9 Solution: Arrange the numbers in order: 1, 3, 5, 7, 9, then find the middle value: 5.
  3. Find the mode of the following data: 2, 4, 6, 8, 8 Solution: The value that appears most frequently is 8, so the mode is 8.

I hope these solutions help you with your General Mathematics studies!