GCSE Secondary Maths Age 13-17 - Number: Upper and lower bounds - Explained

The video tutorial explains how to determine upper and lower bounds for given values, using p and q as examples. It covers calculating the lower bound for p and the upper bound for r, emphasizing the importance of understanding rounding and midpoints. The tutorial provides step-by-step guidance, highlights common student errors, and offers advice on using number lines for accuracy.

What are the given values of p and q rounded to?

• The nearest 0.01

• The nearest 0.5

• The nearest whole number

• The nearest 0.1

What is the lower bound for p if p is 4.3?

• 4.35

• 4.2

• 4.3

• 4.25

Why is it important to draw a number line when finding bounds?

• It is required for all math problems

• It makes the calculation faster

• It provides an exact answer

• It helps visualize the rounding process

To find the upper bound for r, which value of q should be used?

• The exact value of q

• The smallest value of q

• The average value of q

• The largest value of q

What is the calculated upper bound for r?

• 6.5

• 7.20714285714

• 8.0

• 7.0

What is a common mistake students make with bounds?

• Not drawing a number line

• Using the wrong formula

• Incorrectly identifying upper and lower bounds

• Forgetting to round numbers

What is the teacher's advice for finding mid values?

• Guess the values

• Use a calculator

• Use a computer program

• Draw a number line and label points