Consider the following distances. Answer yes or no if you would use a metre to measure. Check your work using the answer key at the end of the exercise.

Example:

• The length of a table – Yes
• The width of your watchband – No

1. length of your classroom
2. thickness of a piece of paper
3. length of your pen or pencil
4. height of the door
5. distance from Prince George to Fort Nelson
6. the width of your baby finger
7. the size of a postage stamp
8. the thickness of a quarter
9. the length of the hallway outside your classroom
10. the distance from your home to college
11. the height of your coffee mug
12. the width of your book
13. the distance from your home to Moncton, New Brunswick
14. the length of a city bus

Answers to Exercise 1

1. yes
2. no
3. no
4. yes
5. no
6. no
7. no
8. no
9. yes
10. no
11. no
12. no
13. no
14. yes

Estimate the length of each item. Remember a metre is about the distance from the tip of your nose to the tip of your middle finger when your arm is stretched out beside you. Be sure to include the unit of measure in your answer. Have your instructor check your work.

1. the height of the doorway
2. the height of your table
3. the width of the doorway
4. the length of your arm
5. the distance from the floor to hip
6. the distance from the floor to waist
7. the height of the ceiling
8. the width of the window
9. the length of your classroom
10. the width of your classroom

Circle the most reasonable measure. Remember a metre is about the distance from the tip of your nose to the tip of your middle finger when your arm is stretched out beside you. Check your work using the answer key at the end of the exercise.

1. A person’s height
   1. 2m
   2. 20m
   3. 200m
2. The height of a child
   1. 10 m
   2. 100 m
   3. 1 m
3. The length of a house
   1. 150 m
   2. 15 m
   3. 1 m
4. The length of a bed
   1. 200 m
   2. 2 m
   3. 20 m
5. The height of a building
   1. 1 m
   2. 100 m
   3. 10 m
6. The height of a refrigerator
   1. 20 m
   2. 200 m
   3. 2 m

Answers to Exercise 3

1. i
2. iii
3. ii
4. ii
5. ii
6. iii

For each item, circle the unit of measure you would use. Check your work using the answer key at the end of the exercise

Answers to Exercise 4

1. m
2. mm
3. cm
4. m
5. cm
6. mm
7. cm
8. m
9. mm
10. cm

For each item, circle the letter of the most reasonable unit of measure. Check your work using the answer key at the end of the exercise.

1. The width of a doorway
   1. 50 mm
   2. 1 m
   3. 50 m
2. The length of your pencil
   1. 20 m
   2. 20 mmm
   3. 20 m
3. The height of a tall building
   1. 1 m
   2. 100 m
   3. 10 m
4. The height of a refrigerator
   1. 20 m
   2. 200 m
   3. 2 m
5. The diameter of a quarter
   1. 24 mm
   2. 24 cm
   3. 24 m
6. The height of the kitchen counter
   1. 9 m
   2. 9 cm
   3. 90 cm
7. The distance around your wrist
   1. 15 mm
   2. 15 cm
   3. 15 m
8. The width of a small TV screen
   1. 28 mm
   2. 128 cm
   3. 28 m
9. The length of a car
   1. 5 m
   2. 5  m
   3. 5 mm
10. The height of a bookcase
    1. 2 cm
    2. 2 mm
    3. 2 m

Answers to Exercise 5

1. ii
2. iii
3. ii
4. iii
5. i
6. iii
7. ii
8. ii
9. i
10. iii

Fill in the blank with the most reasonable unit of measure. Check your work using the answer key at the end of the exercise

1. Most hand held calculators are about 15          long.
2. The CN Tower in Toronto is 555          tall.
3. Many young men have an 80          waist.
4. Computer monitor screens are 28          wide.
5. The handle of a hammer is 20          long.
6. A table is about 65          long.
7. The seat of a chair is about 30          above the floor.
8. The window is about 3          long.
9. A roll of tape is about 13          wide.
10. A rope is about 7          thick.

Answers to Exercise 6

1. cm
2. m
3. cm
4. cm
5. cm
6. cm
7. cm
8. m
9. mm
10. mm

Write the unit of measure you would use to measure each item (L or mL). Check your work using the answer key at the end of the exercise.

1. Bottle of pop
2. Gasoline
3. Car window wash
4. Can of beans
5. Large bottle of juice
6. Liquid dish soap
7. Cough syrup
8. Mixing bowls
9. Ketchup
10. Shampoo
11. Vinegar
12. Bathtub
13. Ice cube tray
14. Paint

Answers to Exercise 7

1. mL
2. L
3. L
4. mL
5. L
6. mL or L
7. mL
8. L
9. mL or L
10. mL
11. L
12. L
13. mL
14. L

Circle the letter of the most reasonable unit of measure. Check your work using the answer key at the end of the exercise.

1. A can of soup
   1. 3 L
   2. 30 mL
   3. 300 mL
2. A large container of ice cream
   1. 5 L
   2. 500 L
   3. 50L
3. A hot water heater
   1. 200 mL
   2. 50 L
   3. 200 L
4. A cup of tea
   1. 18 mL
   2. 180 mL
   3. 218 L
5. A garbage can
   1. 120 L
   2. 120 mL
   3. 12 L
6. A saucepan
   1. 2 L
   2. 20 L
   3. 2 mL
7. A dose of cough syrup
   1. 40 L
   2. 4 mL
   3. 40 mL
8. The gas tank of a car
   1. 500 mL
   2. 5 L
   3. 50 L
9. A jar of mustard
   1. 150 mL
   2. 15 L
   3. 15 mL
10. A large mixing bowl
    1. 6 mL
    2. 60 L
    3. 6 L

Answers to Exercise 8

1. iii
2. i
3. iii
4. ii
5. i
6. i
7. ii
8. iii
9. i
10. iii

Circle the unit of measure you would use to measure each item. Check your work using the answer key at the end of the exercise

Answers to Exercise 9

1. g or kg
2. mg
3. c or kg
4. kg
5. kg
6. kg
7. kg
8. g
9. kg
10. g
11. kg
12. mg
13. kg
14. g

Circle the letter of the most reasonable unit of measure. Check your work using the answer key at the end of the exercise.

1. A nickel
   1. 5 kg
   2. 5 g
   3. 50 g
2. A small television
   1. 8 g
   2. 8 kg
   3. 80 g
3. A flashlight battery
   1. 8 g
   2. 8 kg
   3. 80 g
4. A baby
   1. 30 kg
   2. 3 kg
   3. 300 kg
5. A dinner fork
   1. 50 g
   2. 5 g
   3. 5 kg
6. A slice of bread
   1. 2 g
   2. 20 g
   3. 2 kg
7. A sugar cube
   1. 2 mg
   2. 20 g
   3. 2 g
8. A refrigerator
   1. 120 g
   2. 120 kg
   3. 12 kg
9. A bag of potatoes
   1. 5 g
   2. 5 kg
   3. 50 mg
10. A car
    1. 100 kg
    2. 1000 kg
    3. 10 kg
11. A chocolate bar
    1. 300 mg
    2. 300 mg
    3. 300 g
12. A back pack
    1. 12 kg
    2. 12 g
    3. 12 mg

Answers to Exercise 10

1. ii
2. ii
3. i
4. ii
5. i
6. ii
7. iii
8. ii
9. ii
10. ii
11. iii
12. i

Write large, small or base on the line.  Check your work using the answer key at the end of the exercise.

1. kilometre         .
2. millimetre         .
3. metre         .
4. gram         .
5. litre         .
6. millimetre         .
7. milligram         .
8. kilogram         .
9. centimetre         .

Answers to Exercise 11

1. large
2. small
3. base
4. base
5. base
6. small
7. small
8. large
9. small

Write the base unit of measure and then the prefix if one is needed. Check your work using the answer key at the end of the exercise.

Answers to Exercise 12

Write the unit of measure you would use for each item below. Check your work using the answer key at the end of the exercise.

1. Coffee in a cup – millilitres (mL)
2. Bag of potatoes
3. Gas for a car
4. Length of the hall
5. Vitamin C tablet
6. Thickness of glass
7. Width of a page
8. Box of cereal
9. Distance from Vancouver to Halifax
10. Height of a child
11. Can of soup
12. Window wash for the car
13. Dose of heart medicine
14. Length of a machine bolt
15. Cheese

Answers to Exercise 13

1. Coffee in a cup – millilitres (mL)
2. Bag of potatoes – kilogram (kg)
3. Gas for a car – litre (L)
4. Length of the hall – metre (m)
5. Vitamin C tablet – milligram (mg)
6. Thickness of glass – millimetre (mm)
7. Width of a page – centimetre (cm)
8. Box of cereal – gram (g)
9. Distance from Vancouver to Halifax – kilometre (km)
10. Height of a child – metre (m)
11. Can of soup – millilitre (mL)
12. Window wash for the car – litre (L)
13. Dose of heart medicine – milligram (mg)
14. Length of a machine bolt – millimetre (mm)
15. Cheese – kilogram (kg)

Find the area of the rectangles described below. The measures of the length (l) and the width (w) have been given. Draw and label a picture for each. Be sure to write the unit of measure for each answer. Check your work using the answer key at the end of the exercise.

1. [latex]l = 10 \text{ cm}[/latex], [latex]w = 6 \text{ cm}[/latex]
2. [latex]l = 100 \text{ km}[/latex], [latex]w = 70 \text{ km}[/latex]
3. [latex]l = 400 \text{ km}[/latex], [latex]w = 100 \text{ km}[/latex]
4. [latex]l = 975 \text{ cm}[/latex], [latex]w = 35 \text{ cm}[/latex]
5. [latex]l = 196 \text{ cm}[/latex], [latex]w = 28 \text{ cm}[/latex]
6. [latex]l = 82 \text{ km}[/latex], [latex]w = 12 \text{ km}[/latex]
7. [latex]l = 60 \text{ cm}[/latex], [latex]w = 250 \text{ cm}[/latex]
8. [latex]l = 90 \text{ cm}[/latex], [latex]w = 2 \text{ cm}[/latex]

Answers to Exercise 14

1. [latex]60 \text{ cm}^2[/latex]
2. [latex]7000 \text{ km}^2[/latex]
3. [latex]40000 \text{ km}^2[/latex]
4. [latex]34125 \text{ cm}^2[/latex]
5. [latex]5488 \text{ cm}^2[/latex]
6. [latex]984 \text{ km}^2[/latex]
7. [latex]1500 \text{ cm}^2[/latex]
8. [latex]180 \text{ cm}^2[/latex]

Find the area of the squares. The measure of the side has been given. Draw and label a picture for each. Be sure to write the unit of measure for each answer. Check your work using the answer key at the end of the exercise.

1. A_square, if [latex]s = 5 \text{ cm}[/latex]
2. A_square, if [latex]s = 125 \text{ km}[/latex]
3. A_square, if [latex]s = 4 \text{ mm}[/latex]
4. A_square, if [latex]s = 100 \text{ m}[/latex]
5. A_square, if [latex]s = 14 \text{ km}[/latex]
6. A_square, if [latex]s = 25 \text{ cm}[/latex]

Answers to Exercise 15

1. [latex]25 \text{ cm}^2[/latex]
2. [latex]15625 \text{ km}^2[/latex]
3. [latex]2025 \text{ mm}^2[/latex]
4. [latex]10000m^2[/latex]
5. [latex]196 \text{ km}^2[/latex]
6. [latex]625 \text{ cm}^2[/latex]

Answers to Exercise 16

1. [latex]680 \text{ m}^2[/latex]
2. [latex]2500 \text{ m}^2[/latex]
3. [latex]3712 \text{ cm}^2[/latex]
4. [latex]7920 \text{ cm}^2[/latex]
5. [latex]729 \text{ m}^2[/latex]
6. [latex]432 \text{ m}^2[/latex]

For each rectangle, find both the perimeter (distance around) and the area (amount of surface within). Check your work using the answer key at the end of the exercise.

1. 
2. 
3. 
4. 
5. 
6. 
7. Raoul’s lot is shaped like a rectangle. If it is 55 m long and 15 m wide, what is the perimeter and area of his lot?
8. The playground is shaped like a rectangle. Its length is 140 m and its width is 60 What is the perimeter and area of the playground?

Answers to Exercise 17

1. P = 16 m, A = 12 m²
2. P = 38 cm, A= 84 cm²
3. P = 52 km, A = 153 km²
4. P = 40 mm, A 96 mm²
5. P = 94 m, A = 480 m²
6. P – 166 m, A = 1170 m²
7. P = 140 m, A = 825 m²
8. P = 400 m, A = 8400 m²

For each square, find both the perimeter (distance around) and the area (amount of surface within). Check your work using the answer key at the end of the exercise.

1. 
2. 
3.  
4. 
5. 
6. 
7. Luisa bought a 115 cm square tablecloth. What is the perimeter and area of the tablecloth?
8. Liang bought a square tarp whose side was 31 m. What is the perimeter and area of the tarp?

Answers to Exercise 18

1. P = 20 m, A = 25 m²
2. P = 36 cm, A= 81 cm²
3. P = 60 cm, A = 255 cm²
4. P = 152 cm, A = 1444 cm²
5. P = 168 cm, A = 1764 cm²
6. P – 288 mm, A = 3249 mm²
7. P = 460 cm, A = 13225 cm²
8. P = 124 m, A = 961 m²