A rectangle has sides given as 6cm by 15cm, to the nearest cm. Calculate the limits of accuracy of the perimeter and area of the rectangle.

Perimeter - Min = 40 and Max = 44 Area - Min = 79.75 and Max = 100.75

Test

Upper and Lower Bounds

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1What is the lower bound of 32 if it has been rounded to the nearest unit?
1. A31
2. B31.5
2What is the upper bound of 32 if it has been rounded to the nearest unit?
1. A32.49
2. B32.5
3What are the bounds of 200 if it has been rounded to the nearest 10?
1. ALB = 195
  UB = 204
2. BLB = 195
  UB = 205
4What are the bounds for 20 to 1 s.f?
1. ALB = 15
  UB = 25
2. BLB = 19.5
  UB = 20.5
5What are the bounds of 20 to 2 s.f?
1. ALB = 15
  UB = 25
2. BLB = 19.5
  UB = 20.5
6A rectangle has sides given as 6cm by 15cm, to the nearest cm. Calculate the limits of accuracy of the perimeter and area of the rectangle.
1. APerimeter - Min = 40 and Max = 44
  Area - Min = 79.75 and Max = 100.75
2. B40 ≤ Perimeter
7a = 7.2 to 1 d.p
b = 4.5 to 1 d.p

What are the largest and smallest possible values for a/b?
1. ALB = 1.57
  UB = 1.63
2. BLB = 1.59
  UB = 1.61

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