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3.07 Converting units

Worksheet
Unit conversion
1

The ratio of miles to kilometers is 1:1.6. How many kilometers are equal to 2 miles?

2

The ratio of ounces to grams is 1:28. How many grams are equal to 4\text{ oz}?

3

The ratio of kilograms to ounces is 1:2.2. How many ounces are equal to 10\text{ kg}?

4

The ratio of pounds to kilograms is 1:2.2. How many kilograms are equal to 20\text{ lbs}?

5

To convert inches to centimeters, we can use the following table:

a

Complete the table.

b

Using the table, convert 11\text{ in} to centimeters.

c

Using the table, convert 75\text{ cm} to inches.

InchesCentimeters
12.5
5
3
4
12.5
6

Using the conversion 1 \text{ oz} = 28 \text{ g}, convert the following to ounces to two decimal places:

a

60\text{ g}

b

100\text{ g}

c

45\text{ g}

d

200\text{ g}

e

150\text{ g}

f

280\text{ g}

g

350\text{ g}

h

1200\text{ g}

7

Using the conversion 1\text{ kg} = 2.2 \text{ lbs}, convert the following to two decimal places:

a

3000\text{ lbs} to kilograms

b

3 \text{ kg} to pounds

c

14\text{ lbs} to kilograms

d

5.5 \text{ kg} to pounds

e

25 \text{ lbs} to kilograms

f

3 \text{ kg} to pounds

g

187\text{ lbs} to kilograms

h

115 \text{ kg} to pounds

8

1 \text{ gal} is approximately 3.8 \text{ L}.

a

Write liters to gallons as a ratio in simplest form.

b

How many liters would a 10 \text{ gal} vat hold?

9

1 \text{ ft} is approximately 0.3 \text{ m}.

a

Write feet to meters as a ratio in simplest form.

b

How many meters would a 100 \text{ ft} garden be?

10

The tallest hotel in the world is 390\text{ m} tall. Using the conversion 1 \text{ ft} = 30 \text{ cm}, find the height of the hotel in feet.

11

To ride the scariest roller coasters in an amusement park, you need to be over 130\text{ cm} tall.

a

If 1 \text{ in} = 2.5 \text{ cm}, convert 130 \text{ cm} to inches.

b

Convert 130\text{ cm} to feet and inches.

12

5 \text{ mph} is approximately 8 \text{ kph}.

a

Write miles per hour to kilometers per hour as a ratio.

b

Sophia is traveling 16 \text{ kph}. What is this speed in miles per hour?

13

1 \text{ lb} is approximately 0.45 \text{ kg}.

a

Write pounds to kilograms as a ratio in simplest form.

b

Paul wants to send a parcel that weighs 5 \text{ lbs}. What is this weight in kilograms?

c

It costs \$2 per kilogram to send a parcel. Find the cost of sending Paul's parcel.

14

Six people want to use a lift. They weigh 85\text{ kg}, 84\text{ kg}, 63 \text{ kg}, 109 \text{ kg}, 72 \text{ kg}, and 88\text{ kg}. The lift has a sign saying it can carry up to 1000\text{ lbs}.

a

If 1\text{ kg} = 2.2 \text{ lbs}, calculate the combined weight of the six people in pounds.

b

Is their combined weight over the recommended limit?

15

The world’s heaviest pumpkin was grown in America and weighs just over 2000\text{ lbs}. Using the conversion 1\text{ kg} = 2.2 \text{ lbs}, convert the weight of the pumpkin in kilograms to one decimal place.

16

Jean-Paul is on holiday in England and he sees a road sign that says it is 120 \text{ mi} to Nottingham. If 5 \text{ mi} is approximately 8 \text{ km}, how many kilometers is Jean-Paul from Nottingham?

17

Healthy eating is a good idea but on TV recently, a man tried and failed to eat a 74\text{ oz} steak.

a

If 1\text{ oz} = 28.35 \text{ g}, what was the exact weight of the steak in grams?

b

Convert the answer from part (a) into kilograms to two decimal places.

c

If, instead of eating a steak, the TV presenter had eaten apples that weighed about 100\text{ g} each, how many apples would he have had to eat instead?

18

How long does a 50-mile journey would take if you were traveling at 100 \text{ mph}?

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