Problem solving with standard form calculations

12 questions

1. Standard form is when a number is written in the form A × 10^n. When numbers are written in standard form the value of A must be greater than or equal to ___ and less than 10.
2. Calculate (4.6\times10^6)\div(2\times10^2).
3. Calculate (5.4\times10^{5})\div(3\times10^{-2}).
4. Calculate 480\text{ } 000\div(4\times10^{-2}).
5. Calculate {(1.6\times10^4)\times(2\times10^{-5})}\over(6.4\times10^2). Give your answer in standard form.
6. A grain of sand has a mass of 1.6\times10^{-5} g. How many grains of sand are there in 5 kg? Give you answer as an ordinary number.
7. Which of the following is described here: The middle (or average middle) value in an ordered data set.
8. What is the mode of the following? 4.5\times10^3, 4.5\times10^{-2}, 4.5\times10^2, 4.5\times10^3, 4.2\times10^4.
9. Starting with the smallest number, put these numbers in ascending order.
10. Find the median of: 4.5\times10^5, 4.5\times10^3. 4.2\times10^5, 5.4\times10^3 and 4.5\times10^4.
11. Convert 4\times10^6 m^3 into cm^3.
12. The volume of a football is 4200 cm^3. The volume of Wembley is 4\times10^6 m^3. Assuming no gaps, approximately how many footballs will fit into Wembley stadium?

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