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Add & Subtract Measurements
1. Compute the following.
A. 11 hr 59 min
B. 12 hr 54 min
6 hr 12 min + 5 hr 47 min
C. 11 hr 47 min
D. 10 hr 9 min
2. Brady has one box that is 3 feet 2 inches tall and another box that is 2 feet 8 inches
tall. If he stacks the two boxes on top of each other, what is the total height of the
two boxes?
A. 5 feet 10 inches
B. 6 feet 9 inches
C. 6 feet 10 inches
D. 5 feet 9 inches
3. Karen has a pen that is 9 centimeters 8 millimeters long and a pencil that is 16 centimeters
2 millimeters long. If she places them end to end, what is the total length of the pen and
pencil?
A. 26 centimeters
B. 25 centimeters 9 millimeters
C. 25 centimeters
D. 26 centimeters 1 millimeter
4. Compute the following.
13 hr 41 sec - 3 hr 16 sec
A. 11 hr 29 sec
B. 10 hr 25 sec
C. 11 hr 57 sec
D. 9 hr 30 sec
5. To travel from Philadelphia to Baltimore by car, it would take 1 hour 51 minutes,
and by foot it would take 1 day 7 hours. How much more time does it take to
walk than it does to drive?
A. 1 day 5 hours 51 minutes
B. 1 day 6 hours 51 minutes
C. 1 day 5 hours 9 minutes
D. 1 day 6 hours 9 minutes
Convert Measurements
1. Convert 210 minutes
to hours.
A. 3 hours
B. 3.25
hours
C. 3.5 hours
D. 4 hours
2. Paul completed a full marathon, which is 26.2 miles, in a time of 2 hours 33
minutes 20 seconds. How many seconds is equal to 2 hours 33 minutes 20
seconds?
A. 9,180 seconds
B. 2,720 seconds
C. 9,200 seconds
D. 10,380 seconds
3. Which of the following is equal to 19 grams?
A. 0.019 milligram
B. 1.9 milligrams
C. 1,900 milligrams
D. 19,000
milligrams
4. Convert 13 quarts to pints.
A. 6.5
pints
B. 52 pints
C. 28 pints
D. 26 pints
5.
A. 264 inches
B. 300 inches
C. 288 inches
D. 312 inches
Perimeter & Area
1.
The diameter of the circle above is 10 cm. What is the circumference of the
circle? (Use
= 3.14.)
A. 31.4 cm
B. 157 cm
C. 78.5 cm
D. 15.7 cm
2.
The radius of the circle above is 20 cm. What is the circumference of the circle?
(Use
= 3.14.)
A. 1,256 cm
B. 125.6 cm
C. 62.8 cm
D. 2,512 cm
3.
Note: picture not drawn to scale
The circle above has a radius of 6 cm. What is the area of the circle?
Use
= 3.14.
A. 37.68 cm2
B. 226.08 cm2
C. 18.84 cm2
D. 113.04 cm2
4.
Note: Object not drawn to scale
If X = 4 units, Y = 6 units, and Z = 6 units, what is the area of the object?
A. 32 square units
B. 36 square units
C. 60 square units
D. 72 square units
5.
Note: Figure not drawn to scale
If X = 15 units and h = 7 units, then what is the area of the triangle shown
above?
A. 52.5 square units
B. 210 square units
C. 105 square units
D. 24.5 square units
6.
14 units
What is the area of the square above?
A. 70 square units
B. 56 square units
C. 196 square units
D. 182 square units
Scale Drawings
1.
Above are two different models of the same ship. If the model of the ship on the
right measures 88 mm long, how long is the model of the ship on the left?
A. 176 mm
B. 352 mm
C. 22 mm
D. 44 mm
2.
Above is a map of Cape Verde. A boat captain is taking his friend around the
cape. They are starting in Mindelo, then going to São Filipe, then Praia, and they
will end their trip in Santa Maria. According to the map, how many miles will they
cover altogether?
A. 280
miles
B. 100
miles
C. 560
miles
D. 840
miles
3. Carrie's house is 18 feet tall. For her birthday, Carrie's dad is making her a
dollhouse that is a scale model of her actual house. When the dollhouse is not
being used, it will be placed in the living room display case, which is 12 inches
tall. Which scale will allow her dad to make the tallest dollhouse that will fit in the
display case?
A. 1 inch = 2 feet
B. 1 inch = 9 feet
C. 1 inch = 3 feet
D. 1 inch = 4 feet
4. Preston drew a blueprint of an additional room he is planning to add to his
house. On the blueprint, 2 centimeters is equal to 3 feet in the actual room. If
Preston wants the room to measure 9 feet by 12 feet, what are these dimensions
on the blueprint?
A. 9 cm by 12 cm
B. 6 cm by 8 cm
C. 8 cm by 9 cm
D. 6 cm by 12 cm
5. In a scale drawing of Samantha's apartment, the ratio is 1 in = 2 ft. The length
of the living room on the drawing is 10 in and the width is 4 in. What is the
perimeter of Samantha's living room?
A. 56 ft
B. 28 ft
C. 78 ft
D. 40 ft
6. As an architect, Diane has been hired by Polished Nail Salon to design a new
shop. She is making a model of the new design on a 24-inch square piece of
wood. The dimensions of the new shop measure 96 feet long by 72 feet wide.
Which scale should Diane use to make the largest model possible that will still fit
on top of the wood base?
A. 1 inch = 4 feet
B. 1 inch = 2 feet
C. 1 inch = 6 feet
D. 1 inch = 3 feet
Answers Add and Subtract measurements
1. A
2. A
3. A
4. B
5. C
Explanations
1.
Add the hours and minutes separately.
6 hr 12 min + 5 hr 47 min = (6 hr + 5 hr) + (12 min + 47 min)
= 11 hr 59 min
2.
Brady has one box that is 3 feet 2 inches tall and another box that is 2 feet 8 inches tall. Add
these two measurements.
Therefore, when stacked on top of each other, the boxes have a total height of 5 feet 10 inches.
3.
Karen has a pen that is 9 centimeters 8 millimeters long and a pencil that is 16 centimeters 2
millimeters long. Add these two measurements.
Since 10 millimeters is equal to 1 centimeter, rewrite the length so that the millimeters are less
than 10.
Therefore, the pen and pencil, when placed end to end, have a total length of 26 centimeters.
4.
Subtract the hours and seconds separately.
13 hr 41 sec - 3 hr 16 sec = (13 hr - 3 hr) + (41 sec - 16 sec)
= 10 hr 25 sec
5.
To find how much more time it takes to walk from Philadelphia to Baltimore than it does to drive,
subtract 1 hour 51 minutes from 1 day 7 hours.
Before subtracting, rewrite the first measurement using regrouping.
Now, subtract the two measurements.
Therefore, it would take 1 day 5 hours 9 minutes more time to walk than to drive from
Philadelphia to Baltimore.
Copyright © 2012 Study Island - All rights reserved.
Answers Convert Measurements
1. C
2. C
3. D
4. D
5. B
Explanations
1. There are 60 minutes in 1 hour.
Therefore, 210 minutes is equal to 3.5 hours.
2.
3. There are 1,000 milligrams in 1 gram.
Therefore, 19 grams is equal to 19,000 milligrams.
4. There are 2 pints in 1 quart.
Therefore, 13 quarts equal 26 pints.
5.
Answers Perimeter and Area
1. A
2. B
3. D
4. C
5. A
6. C
Explanations
1. First, find the radius of the circle.
r = d÷2
= 10 cm ÷ 2
= 5 cm
Then, use the circumference formula to find the circumference of the circle.
C = 2
r
= 2(3.14)(5 cm)
= 31.4 cm
2. Use the circumference formula to find the circumference of the circle.
C = 2
r
= 2(3.14)(20 cm)
= 125.6 cm
3. Use the formula for area.
4. To find the area of the object, divide it into two congruent triangles and two congruent rectangles, as
shown below.
First, find the area of one of the rectangles.
Next, find the area of one of the triangles.
Then, add the areas of the triangles and the rectangles.
Therefore, the area of the object is 60 square units.
5. The area of a triangle is given by the formula below.
In the triangle shown, X represents the base of the triangle, and h represents its height.
Use the formula to find the area of the triangle.
6. The area of a rectangle is given by the formula below.
A = lw
Since all 4 sides of a square are congruent, the length and width of the square are the same.
So, the area of the square is given by the following formula, where s is the length of one side of the
square.
A=s·s
Use the formula to find the area of the square.
A = s·s
= 14 units · 14 units
= 196 square units
Answers Scale Drawings
1. C
2. A
3. A
4. B
5. A
6. A
Explanations
1.
2. Notice the scale in the upper right corner of the map. It is about an inch long. Each inch represents 40
miles.
There are about three inches between Mindelo and São Filipe on the map.
There is about one inch between São Filipe and Praia on the map.
There are about three inches between Praia and Santa Maria on the map.
Add the distances.
Adapted from http://www.lib.utexas.edu/maps
3. In order to find the scale that would allow her dad to make the tallest possible dollhouse model to fit
inside the 12 inch tall display case, divide the height of the actual house, 18 feet, by each of the answer
choices. Look for the tallest height that is less than 12 inches.
If the scale used is 1 inch = 2 feet, then the model would be 9 inches tall (less than 12 inches),
because 18 ÷ 2 = 9.
This scale allows him to make the tallest model that also fits inside 12 inch tall display case.
4.
5. First, find the perimeter of the drawing of the living room.
Next, write the given ratio as a fraction.
Then, set up a second ratio, keeping the perimeter of the drawing in the numerator and the perimeter
of the living room in the denominator.
Since the perimeter of the living room is unknown, use a variable to represent that value.
Finally, set up the proportion, cross multiply, and solve for
.
6. In order to find the scale that would allow Diane to make the largest possible model to fit on top of the
24-inch square wood base, divide the largest dimension of the actual building, 96 feet, by the base
length of 24 inches.
Since 96 ÷ 24 = 4, the scale that should be used to make the largest possible model is 1 inch = 4
feet.
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