In Vancouver, British Columbia, the standard speed limit is $70 \mathrm{~km} / \mathrm{hr}$. Are you speeding if you are going $45 \mathrm{MPH}$ ? Using the conversion factors on the inside of the front cover, translate  $45 \mathrm{MPH}$ to $\mathrm{km} / \mathrm{hr}$.

Area is found by multiplying the length of a surface times the width. If a floor measures $6.25 \mathrm{~m}^2$, how many square centimeters does this represent? How many square centimeters are there in $1 \mathrm{~m}^2$ ?

A mile is  $5280 \mathrm{ft}$ in length. The example exercise in example box $1.2$ demonstrates that 1 foot equals approximately  $0.305 \mathrm{~m}$. How many meters are there in a mile? How many kilometers $(\mathrm{km})$ are there in a mile?

A mile is $5280 \mathrm{ft}$ long. The sample exercise in example box $1.2$ shows that 1 foot is approximately $0.305 \mathrm{~m}$. How many meters are there in a mile? How many kilometers $(\mathrm{km})$ are there in a mile?

The area of a rectangle is found by multiplying the base and the height or the length times the width. a. Write an algebraic expression for the area of a rectangle. b. Use your expression to find the area of a rectangle with a length of 17 inches and a width of 13 inches.

Let p and q be the propositions.

p : You drive over 65 miles per hour.

q : You get a speeding ticket. Write these propositions using p and q and logical connectives (including negations).

a) You do not drive over 65 miles per hour.

b) You drive over 65 miles per hour, but you do not get a speeding ticket.

c) You will get a speeding ticket if you drive over 65 miles per hour.

d) If you do not drive over 65 miles per hour, then you will not get a speeding ticket.

e) Driving over 65 miles per hour is sufficient for getting a speeding ticket.

f ) You get a speeding ticket, but you do not drive over 65 miles per hour.

g) Whenever you get a speeding ticket, you are driving over 65 miles per hour.

If a mile is $5280 \mathrm{ft}$ long and a yard contains $3 \mathrm{ft}$, how many yards are there in a mile?

A tank holds $2.18 \mathrm{~kL}$ (kiloliters) of water. How many liters is this? How many milliliters?

If gas costs 80 e a liter, how much does a gallon of gas cost? Show by converting gallons to liters using the conversion factors on the inside front cover.

A crate weighs $8.30 \times 10^6 \mathrm{mg}$  (milligrams). What weight in grammes is this? by kilogrammes?

The height of a paperback book is  $220 \mathrm{~mm}$ . How many cm tall is this person? Using metres?

A recipe that serves four people calls for

$$1 \frac { 1 } { 2 }$$

c of flour. How many cups of flour are needed to serve ten people?

Of physics, chemistry, and biology, which is the most fundamental science? Why?

To calculate area, multiply a surface's length by its breadth. How many square centimetres does a floor with a measurement of  $5.28 \mathrm{~m}^2$ represent? In $1 \mathrm{~m}^2$, how many square centimetres are there?