1. 4.25<𝑥≤4.35 4.25≤𝑥<4.35 4.25<𝑥<4.35 4.25≤𝑥≤4.35
Recapping: Upper and lower bounds.
Which of the following gives the range of possible values for a number rounded to 2 significant figures as 4.3.
4.25<𝑥≤4.35
4.25≤𝑥<4.35
4.25<𝑥<4.35
4.25≤𝑥≤4.35

2. Limits of Accuracy
Learning Objective: Evaluate the limits of accuracy within calculations.
Amy drew this sketch of her bedroom. The measurements are correct to one decimal place.
a) What is the greatest possible perimeter?
b) What is the least possible perimeter?
c) State the range of values for the perimeter.
The dimensions of the cuboid are given correct to two significant figures.
a) Calculate the upper and lower bounds of the area of the front face.
b) Calculate the maximum possible volume.

3. Limits of Accuracy
Learning Objective: Evaluate the limits of accuracy within calculations.
1. Given that:
a = 2.4 (nearest 1 d. p.) b = 300 (to 1 sig. fig.)
c = 0.87 (to 2 sig. fig.) d = 4.65 (nearest 2 d. p.)
Calculate the maximum and minimum possible values of
i) a + b ii) d – a iii) a2 + c iv) d ÷ a
2. Calculate, to three significant figures the minimum width of the rectangle.

4. Limits of Accuracy
Learning Objective: Evaluate the limits of accuracy within calculations.
A stationary jar and pencil are measured accurate to 3 significant figures.
The jar has a radius of 3.8 cm and a height of 15.2 cm.
Is it possible to fit a pencil of height 15.7 cm
into the jar so that it covers the top of the
pencil?