1. Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004

2. Section C – Imperial Standard Units 1 mile = ft ?

3. Convert: 6 yards to metres 3 tonnes to ounces

4. Convert: Ben is 195 lbs. Find his mass in kilograms and grams. Stacey is 1.65 m. Find her height in feet and inches.

5. Section D – Scientific Notation Numbers that are extremely large or extremely small can be written more simply by using scientific notation. 2,000,000,000,000 = 2 x 10 12 2 trillion cx 10 n – where 1 <c< 10 – n is an integer

6. Write in Scientific Form: 8000000000 or 8 gigs of space on your mp3 player. 0.00015 metres or the average size of a cell.

7. Write in Decimal Form: 1.5 x 10 -17 metres or the average size of a proton. 3.0 x 10 8 metres per second or the speed of light. Try with your calculator.

8. Section E – Rounding Numbers If the digit after the one being rounded off is less than 5 we round down. If the digit after the one being rounded off is 5 or more we round up. Round to the nearest 10 48 583 6746 Round to the nearest 100 452 37239 104792

9. Section E – Rounding Numbers Round to the nearest Tenth 3.01 4.153 7.2438 Round to the nearest Hundredth 6.238 4.0156 8.22446

10. Calculate to 2 decimal places: (2.8 + 3.7)(0.82 – 0.57) 18.6 – (12.2 – 4.3) 5.2

11. Significant Figures The numbers 1-9 are always significant. Zeros in the front are never significant. Zeros in the middle are always significant. Zeros in the back are only significant if they follow the decimal point and another significant figure.

12. ExampleNo. of Sig Figs 453 5057 5.00 0.007 20400 0.090 5.1x 10 5

13. Write 278463 correct to 3 significant figures. Write 0.0076584 correct to 3 significant figures.

14. Round 5.371 to 2 significant figures. Round 0.0086 to 1 significant figures. 423 to 1 significant figures. 4.053 to 3 significant figures.

15. Use your calculator: Simplify to 3 significant figures (3.2 × 10 4 ) × (8.6 × 10 -16 )

16. Section F – Rates Rate of pay Gas mileage Annual rainfall Unit cost Population density Speed A rate is a comparison of different quantities.

17. Speed s = d / t = d = Example: A car is traveling a distance of 325-km. What is its average speed if the trip takes 4 hours and 17 minutes? What is the time taken if the average speed was 93-km/h?

18. Convert 35 apples bought for $9.45 to a rate of cents per apple.

19. Suburb A covers 6.3km 2 and has a population of 28700 people while suburb B covers 3.9 km 2 and has a population of 16100 people. Which suburb is more heavily populated?