Advanced problem solving with rounding, estimation and bounds

12 questions

1. A quick estimate for a calculation is obtained from using approximate values, often rounded to ___ significant figure.
2. Round 508 273 to 2 significant figures.
3. A piece of string is measured as 6.8 cm correct to 1 decimal place. What are the lower and upper bounds?
4. Which of the following is not a correct formula for the area of a trapezium? [IMG]
5. Which calculation will give the upper bound of a\times{b}?
6. Which calculation will give the lower bound of a\div{b}?
7. An error ___ for a number x shows the range of possible values of x.
8. Using estimation only which of the following is the correct answer to {{214^2\times2.875}\over37.06}
9. Estimate the value of {{19.56^3}\over{37.06-16.2}}
10. Which of the following calculations will give the lower bound of a^2?
11. If LB_x = 0.4562 and UB_x = 0.4569. Find the value of x and the appropriate degree of accuracy in significant figures.
12. a = 2.64 (3 s.f.), b = 1.655 (4 s.f.), c={\sqrt{a}\over{b^3}}. Work out the value of c to a suitable degree of accuracy.

License: OGL