Math Questions for 3rd Intermediate - Term 2

Triangle Angles

• The sum of the angles in a triangle is always 180 degrees, regardless of the triangle's type (scalene, isosceles, or equilateral).

Area of a Rectangle

• The area of a rectangle is calculated using the formula: Area = Length × Width.
• For a rectangle with a length of 5 units and a width of 3 units, the area is 15 square units (5 × 3 = 15).

Pythagorean Theorem

• The Pythagorean theorem relates the sides of a right triangle.
• The formula is expressed as ( a^2 + b^2 = c^2 ), where ( c ) represents the length of the hypotenuse.

Evaluating Expressions

• To evaluate the expression ( 3x + 5 ) for ( x = 2 ):
  • Substitute 2 into the expression: ( 3(2) + 5 = 6 + 5 = 11 ).

Ratio and Percentage

• A ratio of 4:5 indicates that for every 4 parts of the first number, there are 5 parts of the second number.
• The first number represents 44.44% of the total when the two numbers are combined (4/(4+5) × 100 = 44.44%).