MATHS - Algebra - Deriving Formulae

The video tutorial covers deriving expressions and equations from sentences, calculating areas of basic shapes like squares and circles, simplifying perimeters and areas, and solving 'show that' questions in geometry. It also addresses solving quadratic equations and finding areas of complex shapes such as T shapes. The tutorial emphasizes ignoring the 'show that' part until the final answer is checked.

What is the area of a square with side length 4x?

• 16x

• 4x squared

• 8x squared

• 2x squared

If the radius of a circle is x, what is the formula for its area?

• 2πx

• πx squared

• πx

• 2x squared

What is the simplified form of the perimeter if it is given as 6a + 8?

• 6a + 12

• 8a + 6

• 8a + 12

• 6a + 8

How do you calculate the area of a trapezium?

• Sum of all sides

• Base times height

• Half the sum of the parallel sides times the distance between them

• Length times width

When finding the area of a T shape, what is the correct approach?

• Subtract the smaller area from the larger one

• Add the areas of two rectangles

• Divide the total area by two

• Multiply the areas of two rectangles