GCSE Secondary Maths Age 13-17 - Geometry & Measures: Probability - Explained

The video tutorial explains how to calculate the proportion of a shaded area within a square. It begins by determining the square's area using its perimeter, then calculates the areas of two triangles within the square. By subtracting the triangle areas from the square's total area, the shaded area is found. Finally, the proportion of the shaded area is calculated as a fraction, which is simplified to 5/8. The tutorial also outlines the marking scheme for the problem, emphasizing the importance of understanding the question's requirements.

What is the first step in solving the problem of finding the shaded area proportion?

• Measure the sides of the triangles

• Determine the color of the shaded area

• Calculate the perimeter of the square

• Find the area of the whole square

How is the side length of the square determined from its perimeter?

• By multiplying the perimeter by 4

• By dividing the perimeter by 2

• By dividing the perimeter by 4

• By adding the perimeter to itself

What is the area of triangle A?

• 8 cm²

• 2 cm²

• 4 cm²

• 6 cm²

What is the total area of triangles A and B?

• 12 cm²

• 6 cm²

• 10 cm²

• 8 cm²

How is the shaded area calculated?

• By adding the areas of the triangles to the square

• By dividing the area of the square by the number of triangles

• By multiplying the areas of the triangles

• By subtracting the areas of the triangles from the square

What fraction represents the proportion of the shaded area?

• 2/3

• 1/2

• 3/4

• 5/8

What is the importance of simplifying the fraction in the final answer?

• It is not necessary

• It helps in understanding the problem

• It makes the answer more complex

• It is required for the marking scheme