Solved Examples: The Basics of Measurements and Units
For ACT Students
The ACT is a timed exam...60 questions for 60 minutes
This implies that you have to solve each question in one minute.
Some questions will typically take less than a minute a solve.
Some questions will typically take more than a minute to solve.
The goal is to maximize your time. You use the time saved on those questions you
solved in less than a minute, to solve the questions that will take more than a minute.
So, you should try to solve each question correctly and timely.
So, it is not just solving a question correctly, but solving it correctly on time.
Please ensure you attempt all ACT questions.
There is no negative penalty for any wrong answer.
For JAMB Students
Calculators are not allowed. So, the questions are solved in a way that does not require a calculator.
Solve all questions.
Show all work.
(1.) Choose an appropriate metric unit and customary unit for these measurements
(a.) Width of an office building
(b.) Width of a fly's eye
(c.) Distance between exits on a highway
(d.) Depth of a wrecked ship
(e.) Thickness of a piece of a paper
(f.) Length of a pencil
(g.) Length of a canyon
(h.) Height of the ozone layer
(i.) Length of a mathematics textbook
(j.) Width of a dollar bill
(k.) Length of a thumbtack
(l.) Length of a driveway
(m.) Height of a semi-trailer
(n.) Span of a human hand
(o.) Distance traveled by a home run
(p.) Thickness of a leaf
Appropriate Units of Linear Measurements
Measurement
Metric Unit
Customary Unit
Width of an office building
meters
feet
Width of a fly's eye
millimeters
inches
Distance between exits on a highway
kilometers
miles
Depth of a wrecked ship
kilometers
miles
Thickness of a piece of paper
millimeters
inches
Length of a pencil
centimeters
inches
Length of a canyon
kilometers
miles
Height of the ozone layer
kilometers
miles
Length of a mathematics textbook
centimeters
inches
Width of a dollar bill
centimeters
inches
Length of a thumbtack
millimeters
inches
Length of a driveway
meters
feet
Height of a semi-trailer
meters
feet
Span of a human hand
centimeters
inches
Distance traveled by a home run
meters
feet
Thickness of a leaf
millimeters
inches
(2.) Guess the approximate areas of these items.
(a.) A business envelope
(b.) A placemat
(c.) A cereal box top
(d.) The floor of a classroom
(e.) A kitchen table
(f.) A backyard swimming pool
(g.) A tabletop television
Approximate Areas
Items
Approximate Areas
A business envelope
240 cm²
A placemat
1350 cm²
A cereal box top
170 cm²
The floor of a classroom
100 m²
A kitchen table
3 m²
A backyard swimming pool
100 m²
A tabletop television
1200 cm²
(3.) Choose the most appropriate metric units (cm², m², or km²) and English units (in², yd², or mi²) for these area measurements.
(a.) Area of a bottle cap
(b.) Area of a desktop
(c.) Area of the floor of a classroom
(d.) Area of a folded paper napkin
(e.) Area of a kitchen table
(f.) Area of a silver dollar
(g.) Area of a business envelope
(h.) Area of a quarter
(i.) Area of a ceiling tile
(j.) Area of the building lot for a house
(k.) Area of a swimming pool
(l.) Area of a basketball court
(m.) Area of a blackboard
(n.) Area of a book
(o.) Area of a bottle cap
Appropriate Units of Area Measurements
Measurement
Metric Unit
English Unit
Area of a bottle cap
cm²
in²
Area of a desktop
m²
yd²
Area of the floor of a classroom
m²
yd²
Area of a folded paper napkin
cm²
in²
Area of a kitchen table
m²
yd²
Area of a silver dollar
cm²
in²
Area of a business envelope
cm²
in²
Area of a quarter
cm²
in²
Area of a ceiling tile
cm²
in²
Area of the building lot for a house
m²
yd²
Area of a swimming pool
m²
yd²
Area of a basketball court
m²
yd²
Area of a blackboard
m²
yd²
Area of a book
cm²
in²
Area of a bottle cap
cm²
in²
(4.) Choose an appropriate metric unit and customary unit for these mass measurements.
(a.) Bicycle
(b.) Boat
(c.) Pair of eyeglasses
(d.) Space Shuttle
(e.) Car
(f.) Eraser
(g.) Horse
(h.) Small Book
(i.) Human Being
(j.) Elephant
(k.) Box of cereal
(l.) Refrigerator
(m.) Whale
(n.) Motorbike
(o.) Football Player
(p.) Pencil