Author: rsali

FOM 10: Measurement Conversion Review

Multiple Choice
Identify the choice that best completes the statement or answers the question.

____	1.	The United States’ official measurement system is the
a. | avoirdupois system | c. | SI system
b. | imperial system | d. | US system

____	2.	What is the approximate perimeter of the figure shown below, using an appropriate SI unit?

a. | 17 cm | c. | 17 m
b. | 17 km | d. | 17 mm

____	3.	Estimate the imperial measurement of the perimeter of the figure shown below.

a. | 7 ft | c. | 7 mi
b. | 7 in | d. | 7 yd

____	4.	A field has been measured to be 16 500 cm long. Which is the more appropriate unit to use when giving this measurement?
a. | 6496 in. | c. | 0.165 km
b. | 165 m | d. | 0.1 mi

____	5.	The flying distance from Dawson City to Whitehorse is 540 km. The distance shown on the map is 4 cm. What is the scale of the map as a ratio in lowest terms?

a. | | c. |
b. | | d. |

____	6.	The height of a pop can is 15 cm and its shadow is 20 cm long. A carton of milk next to the can is 0.25 m tall. Determine the length of the carton’s shadow, to one tenth of a centimetre.
a. | 0.2 cm | c. | 18.8 cm
b. | 0.3 cm | d. | 33.3 cm

____	7.	Brenda states that her bedroom is 4.5 _____ wide. What unit is most appropriate for this measurement?
a. | centimetre | c. | metre
b. | kilometre | d. | millimetre

____	8.	Ben measures the length of the street he lives on to be 90 000 cm. Which of the following measurements is the same length?
a. | 0.9 km | c. | 90 km
b. | 0.9 m | d. | 90 m

____	9.	A tire has a diameter of 3 ft. How many times will it rotate in order to roll across a field that is 297 yd long? Round your answer to the nearest tenth, if necessary.
a. | 297 | c. | 94.5
b. | 99 | d. | 31.5

____	10.	What is the most appropriate unit for measuring the height of a person?
a. | foot | c. | mile
b. | inch | d. | yard

____	11.	Identify the most suitable unit for measuring the height of a pop can.
a. | foot | c. | mile
b. | inch | d. | Yard
____	12.	A florist requires 12 in. of ribbon for each bouquet of flowers he creates. How many bouquets will he be able to create from 10 yd of ribbon?
a. | 120 | c. | 22
b. | 10 | d. | 30

____	13.	If the total surface area of a cube is 1417 cm^2, what is the surface area of each face of the cube, to the nearest tenth of a square inch?
a. | 236.2 in.^2 | c. | 15.4 in.^2
b. | 36.6 in.^2 | d. | 6.1 in.^2

____	14.	You and your family decide to travel to the United States. After crossing the border, you notice speed limit signs saying the maximum speed is 70 mph. What is this speed in kilometres per hour?
a. | 119.0 km/h | c. | 70.0 km/h
b. | 112.7 km/h | d. | 43.5 km/h

____	15.	Convert 92 cm to the nearest tenth of an inch.
a. | 9.2 in. | c. | 84.1 in.
b. | 36.2 in. | d. | 233.7 in.

____	16.	How long is 5 ft 9 in. in metres? Round your answer to the nearest hundredth.
a. | 18.86 m | c. | 1.75 m
b. | 9.26 m | d. | 1.80 m

____	17.	The school gymnasium floor needs to be resurfaced. Hardwood flooring costs $5.75 per square foot plus $2.25 per square foot for installation. The gym measures 67 m by 66 m. At this rate, how much will it cost to buy and install the hardwood flooring, to the nearest dollar?
a. | $380 784 | c. | $318 384
b. | $273 689 | d. | $107 096

Completion
Complete each statement.

	1.	Canada’s official measurement system is the _________________________ .

	2.	An item that a person might use to approximate a measurement is called a(n) _________________________ .

	3.	All SI linear measurements are derived from the _________________________ .

	4.	The United States uses the _________________________ for linear measurement.

	5.	Nineteen yards is equivalent to _________________________ feet.

	6.	Twenty feet is equivalent to _________________________ inches.

Matching

Match each imperial measurement to its equivalent SI measurement. An SI measurement may be used more than once or not at all.

a. | 1.28 m | d. | 63.4 mm
b. | 22.6 cm | e. | 6.40 m
c. | 24.2 km | f. | 0.004 km

____	1.	 yd

____	2.	4.48 yd

____	3.	 mi

____	4.	4.2 ft

____	5.	8.9 in.

Short Answer

	1.	Jennifer is 9 in. taller than her sister. If Jennifer is 115 cm tall, how tall is her sister, to the nearest centimetre?

	2.	The weather forecast calls for 11 cm of snow. How many inches can you expect, to the nearest tenth?
	3.	You have a  in. drill bit. Will it drill a hole large enough to fit a 5 mm bolt?
	4.	Sam has to remove some dead branches from a tree. The tree’s branches start approximately 5 m from the ground. Sam stands 1.8 m tall. He has a ladder 2.6 m long. Will Sam be able to use his ladder to trim the branches? Explain your thinking, including any assumptions that you make.

	5.	Erin jogs 12 times around the block each morning to stay fit. The block measures 648 ft by 324 ft.
a) What is the perimeter of the block?
b) How many yards does Erin jog each morning?

	6.	Examine the visual below.
a) What length is this caliper measuring? 
b) Explain how you made your reading.

Problem

	1.	Janet needs a rectangular piece of cardboard measuring 21 ft by 24 ft for a school project.
a) What is the area of the cardboard in square feet?
b) What is the area of the cardboard in square yards? Show your calculations in two different ways.
c) The store charges $0.35/m^2 for cardboard. How much will the cardboard Janet needs cost?

	2.	A Canadian football field is 110 yd long. An American football field is 100 yd long. How many feet longer is the Canadian field?

	3.	Mingmei is purchasing a new tractor that she would like to store in her new shed. The shed is 4 ft wide. It has a floor made of 35 two-inch boards that are each 4 ft long. The gaps between the boards add up to 2 in. Mingmei wants a tractor that is 180 cm long and 120 cm wide. Will this tractor fit into her shed?

	4.	A $1 coin is 2.5 cm wide. Your class is conducting a fundraising event to help needy families. The collected coins are laid out in a row on double-sided tape in a mall. At the end of the day, the strip of coins is about 67 yd long. How many coins were collected?
FOM 10: Measurement Conversion Review
Answer Section

MULTIPLE CHOICE

	1.	ANS:	B	PTS:	1	DIF:	A	OBJ:	Section 1.2

	2.	ANS:	A	PTS:	1	DIF:	B	OBJ:	Section 1.1

	3.	ANS:	B	PTS:	1	DIF:	B	OBJ:	Section 1.2

	4.	ANS:	B	PTS:	1	DIF:	B	OBJ:	Section 1.1

	5.	ANS:	D	PTS:	1	DIF:	B	OBJ:	Section 1.1

	6.	ANS:	D	PTS:	1	DIF:	C	OBJ:	Section 1.1

	7.	ANS:	C	PTS:	1	DIF:	B	OBJ:	Section 1.1

	8.	ANS:	A	PTS:	1	DIF:	B	OBJ:	Section 1.1

	9.	ANS:	C	PTS:	1	DIF:	B	OBJ:	Section 1.2

	10.	ANS:	A	PTS:	1	DIF:	B	OBJ:	Section 1.2

	11.	ANS:	B	PTS:	1	DIF:	B	OBJ:	Section 1.2

	12.	ANS:	D	PTS:	1	DIF:	C	OBJ:	Section 1.2

	13.	ANS:	B	PTS:	1	DIF:	D	OBJ:	Section 1.3

	14.	ANS:	B	PTS:	1	DIF:	C	OBJ:	Section 1.3

	15.	ANS:	B	PTS:	1	DIF:	A	OBJ:	Section 1.3

	16.	ANS:	C	PTS:	1	DIF:	B	OBJ:	Section 1.3

	17.	ANS:	A	PTS:	1	DIF:	C	OBJ:	Section 1.3

COMPLETION

	1.	ANS:	SI (Système International d’Unités)

	2.	ANS:	referent

	3.	ANS:	metre

	4.	ANS:	imperial system

	5.	ANS:	57

	6.	ANS:	240

MATCHING

	1.	ANS:	E	PTS:	1	DIF:	B	OBJ:	Section 1.3

	2.	ANS:	F	PTS:	1	DIF:	B	OBJ:	Section 1.3

	3.	ANS:	C	PTS:	1	DIF:	B	OBJ:	Section 1.3

	4.	ANS:	A	PTS:	1	DIF:	B	OBJ:	Section 1.3

	5.	ANS:	B	PTS:	1	DIF:	B	OBJ:	Section 1.3

SHORT ANSWER

	1.	ANS:	

Jennifer’s sister is approximately 92 cm tall.

	2.	ANS:	
1 in. = 2.54 cm
11 ÷ 2.54  4.330709
You can expect approximately 4.3 in. of snow.

	3.	ANS:	
Method 1

The  in. drill bit will make a hole that is larger than the 5 mm bolt, so the bolt will fit.
Method 2

The 5 mm bolt is smaller than the  in. drill bit, so it will fit in the hole.

4.	ANS:	
Example:
1.8 m + 2.6 m = 4.4 m
Sam’s height plus the length of the ladder add to 4.4 m. If Sam had a reach of 0.6 m over his head, he could possibly reach the first branches. Unless Sam has very long arms, this seems like a long way to reach. For safety, the ladder must lean up against the tree. This reduces the effective height of the ladder and means that Sam must have a reach of more than 0.6 m. In addition, Sam cannot stand on the top rung, for safety reasons. No, Sam cannot trim the tree with a ladder this length.

5.	ANS:	
a) 
The perimeter of the block is 1944 ft.

b) One time around:

Six times around:
12(648) = 7776
Erin jogs 7776 yd each morning.

6.	ANS:	
a) 3.746 cm or 37.46 mm

b) Read the value on the fixed scale exactly at or just to the left of the zero on the moving scale (3.7 cm or 37 mm). Identify the first line on the moving scale that aligns with a line on the fixed scale (0.046 cm or 0.46 mm). Add the two figures.

          PROBLEM

	1.	a) 
The area of the cardboard is 648 ft^2.
b) 
The area of the cardboard is 72 yd^2.
c) 
The area of the cardboard is 60.2012 m^2.
Let C represent the total cost of the cardboard.

The cardboard will cost $21.07.

	2.	110 – 100 = 10
The Canadian football field is 10 yd longer than the American field.
1 yd = 3 ft
10 ´ 3 = 30
The Canadian football field is 30 ft longer than the American field.

	3.	Length of the shed:
l = 2 ´ 35 + 2
  = 72
12 in. = 1 ft
72 ÷ 12 = 6
The shed is 72 in. or 6 ft long.
1 ft = 30.5 cm
6 ft = 183 cm
Because the tractor is 180 cm long, its length will fit into the shed.
w = 4 ft
1 ft = 30.5 cm
4 ft = 122 cm
Because the tractor is 120 cm wide, its width will also fit into the shed, so the tractor will fit into the shed.

	4.	ANS:	
Convert yards to centimetres:

Calculate the number of coins.

The number of coins collected was 2450.