Using upper and lower bounds practically

12 questions

1. The ___ bound for a rounded number is the smallest value that would round up to the next rounded value.
2. x = 5.2 correct to 1 decimal place. What is the error interval?
3. y = 45 correct to 2 significant figures. What is the error interval?
4. The error interval of x is 5.15\leq{x}<5.25. The error interval of y is 44.5\leq{y}<45.5. What are the lower and upper bounds of xy? (Give you answers to 3 decimal places)
5. The error interval of x is 5.15\leq{x}<5.25. The error interval of y is 44.5\leq{y}<45.5. What are the lower and upper bounds of xover{y}? (Give you answers to 3 s.f.)
6. Which calculation will give the upper bound of x={{a^2}\over{b+c}}
7. The degree of ___ determines the upper and lower bounds of a number or measurement.
8. Considering the maximum number of boxes to safely fit in a lift. Which of the following should be used? (Where l represents the capacity of the lift and b represents the mass of a box?
9. A sack contains 16 kg of flour correct to the nearest kilogram. What are the lower and upper bounds of the mass of the flour?
10. A sack contains 16 kg of flour correct to the nearest kilogram. This is put into smaller bags containing 500 g correct to 10g. What are the lower and upper bounds of the mass of the bags?
11. A sack contains 16 kg of flour correct to the nearest kilogram. This is put into smaller bags containing 500 g correct to 10g. Which calculation is correct to find the minimum number of bags produced?
12. A sack contains 16 kg of flour correct to the nearest kilogram. This is put into smaller bags containing 500 g correct to 10g. What is the minimum number of bags produced?

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