1. Length 1 foot = 12 inches 1 yard =3 feet 1 mile = 1760 yards
Converting to metric length
1 inch = 2.5 cm
1 foot = 30.5 cm
1 m = 39 inches
1 mile = 1.6 km or 5 miles = 8 km

2. Converting metric and Imperial Measures in Length
Convert 40cm into inches.
1 inch = 2.5 cm
40/2.5 = 16 inches
Tim is 6 feet 2 inches tall. Estimate Tims height in cm.
1 foot = 12 inches
6 feet =6 x 12 = 72 inches
Total height = = 74 inches
74 x 2.5 = 185 cm

3. Conversions on length How far is 32 km in miles? 1 mile = 1.6 km

4. Mass 1 pound = 16 ounces 14 pounds = 1 stone 240 pounds = 1 ton
Converting to metric length
1 kg = 2.2 pounds

5. Converting Imperial to Metric Mass
Change 5 kg to pounds.
1 kg = 2.2 pounds
5 kg = 5 x 2.2 = 11 pounds
James weighs 10 stones 6 pounds. Estimate his weight in kilograms.
1 stone = 14 pounds
10 stones = 10 x 14 = 140 pounds
Total weight in pounds = = 146 pounds
146 pounds/2.2 = 66 kg

6. Capacity and Volume 1 gallon = 8 pints Converting to metric units
1 litre = 1.75 pints
1 litre = 0.2 gallons

7. Conversions on mass
How many pints are there in a 4 litre carton of milk?
1 litre = 1.75 pints
4 x 1.75 = 7 pints
The capacity of a cars petrol tank is 12 gallons. How much does the petrol tank hold in litres?
1 litre = 0.2 gallons
12/0.2 = 60 litres

8. Discrete and Continuous Measures
Discrete Measures
Can only take particular measures
The number of people on the bus is 42.
My shoe size is 4 ½.
Continuous Measures
Measures that can lie within a range of possible values
Height of a mountain
Weight
Age

9. Continuous Measures Examples
Jane is 160 cm tall to the nearest 10 cm. What are the limits between which her true height lies?
The smallest value is 155 cm
The highest value is cm which we take as 165 cm
155cm≤ Janes height<165 cm

10. Continuous Measures Examples
Jane is 160 cm tall to the nearest 1 cm. What are the limits between which her true height lies?
The smallest value is cm
The highest value is cm
We take it as cm.
159.5 cm≤ Janes height < cm

11. Dimensions and Formulae
Length (L) has a dimension of 1.
Area has dimension of Length x Length (L²) 2-D
Volume has dimension of Length x Length x Length (L³) 3-D

12. Dimensions and Formulae examples
In each of these expressions the letters a, b, and c represent lengths. Use dimensions to check whether the expressions could represent perimeter, area or volume.
2a + 3b + 4c
2a²b +abc
3a² +2b(a+c)
3a + 2ab + c³