GCSE Secondary Maths Age 13-17 - Number: Bounds - Explained

The video tutorial explains how to calculate the upper bound for side C of a right-angled triangle using Pythagoras' theorem. It involves determining the upper and lower bounds for sides A and B, and then using these to find the maximum possible value for C. The tutorial also discusses the allocation of marks for the problem, emphasizing the importance of understanding both Pythagoras' theorem and the concept of bounds.

What is the main task described in the problem involving the triangle?

• Measure the angles of the triangle.

• Determine the upper bound for side C.

• Calculate the perimeter of the triangle.

• Find the area of the triangle.

How is the upper bound for side A determined?

• By adding 0.1 to the given value.

• By taking the average of the given value and the next higher value.

• By subtracting 0.1 from the given value.

• By doubling the given value.

What is the lower bound for side A if its upper bound is 8.35?

• 8.05

• 8.25

• 8.45

• 8.15

What is the upper bound for side B if the given value is 6.1 cm?

• 6.2

• 6.15

• 6.05

• 6.0

Which values are used to calculate the upper bound for side C?

• Lower bound of A and upper bound of B

• Upper bound of A and upper bound of B

• Lower bound of A and lower bound of B

• Upper bound of A and lower bound of B

What is the calculated value of C^2 when using the bounds?

• 32.12

• 34.12

• 33.12

• 35.12

How many marks are awarded for correctly substituting the bounds into the formula?

• Three marks

• Four marks

• Two marks

• One mark