Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 8 Posttest regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 8 Posttest Answers Key
Check What You Learned
Complete the following.
Question 1.
a. 9 yd. = ____________ ft.
Answer:
27 ft.
Explanation:
We know that,
1 yd = 3 ft.
9 yd = 9 x 3 = 27 ft.
b. 7 ft. 9 in. = ____________ in.
Answer:
93 in.
Explanation:
Given,
7 ft. 9 in. = ____________ in.
convert feet to inches, then add.
1 ft = 12 in.
7 ft = 12 x 7 = 84 in
So, 84 + 9 = 93 in.
Question 2.
a. 17 pt. = ____________ c.
Answer:
34 c.
Explanation:
We know that,
1pt = 2 cups.
17pt = 17 x 2 = 34 cups.
b. 8 gal. 2 qt. = ____________ qt.
Answer:
34 qt.
Explanation:
Given,
8 gal. 2 qt. = ____________ qt.
convert gallon tp quart, then add.
1 gal = 4 qt.
8 gal = 8 x 4 = 32 qt.
So, 32 + 2 = 34 qt.
Question 3.
a. 12 lb. = ____________ oz.
Answer:
192 oz.
Explanation:
We know that,
1 lb = 16 oz.
12 lb = 12 x 16 = 192 oz.
b. 14T. = ____________ lb.
Answer:
28,000 lb.
Explanation:
We know that,
1 Ton = 2,000 lb
14 T = 14 x 2,000 = 28,000 lb.
Question 4.
a. 16 km = ____________ m
Answer:
16,000 m.
Explanation:
We know that,
1 km = 1,000 m
16 km = 16 x 1,000 = 16,000 m.
b. 6 m 36 cm = ____________ cm
Answer:
636 cm.
Explanation:
Given that,
6 m 36 cm = ____________ cm
convert meters to centimeters, then add.
1m = 100 cm
6 m = 6 x 100 = 600 cm
So, 600 + 36 = 636 cm.
Question 5.
a. 7 kL = ____________ mL
Answer:
7,000,000 mL
Explanation:
We know that,
1 KL = 1,000,000 mL
7 kl = 7 x 1,000,000 = 7,000,000 mL
b. 8 g 942 mg = ____________ mg
Answer:
8,942 mg.
Explanation:
Given that,
8 g 942 mg = ____________ mg
convert grams to milligrams, then add.
1 gram = 1,000 mg
8 g = 8 x 1,000 = 8,000 mg
So, 8,000 + 942 = 8,942 mg.
Draw a line plot to organize the data and solve the problem.
Question 6.
Joanna needs 4 cups of milk to make pudding. She has \(\frac{3}{4}\) cup of milk at home. She goes to borrow milk from her neighbors. One neighbor has \(\frac{3}{4}\) cup, and two other neighbors give her \(\frac{1}{2}\) cup. How much more milk will she need?
Answer:
1\(\frac{1}{2}\) cups.
Explanation:
=4 – (\(\frac{3}{4}\) + \(\frac{3}{4}\)+\(\frac{1}{2}\)+\(\frac{1}{2}\))
=4 – (\(\frac{6}{4}\)+1)
=4 – (\(\frac{3}{2}\)+1)
=4 – \(\frac{5}{2}\)
=\(\frac{8 – 5}{2}\)
=\(\frac{3}{2}\)
=1\(\frac{1}{2}\)
Find the perimeter and area of the shapes below.
Question 7.
a.
P = _____________
A = _____________
Answer:
P = 26 ft.
A = 42 sq. ft.
Explanation:
We know that,
The perimeter is the sum of the sides of a figure.
To find the perimeter, add the length of the sides.
So, the perimeter of the given rectangle is 6 + 6 + 7 + 7 = 26 ft.
We know that,
Area is the number of square units needed to cover a surface.
To calculate the area of a square or rectangle,
multiply the measure of the length by the measure of the width.
length = 6 ft; width = 7ft.
A = length x width
A = 6 x 7= 42 sq ft.
b.
P = _____________
A = _____________
Answer:
P = 24 m.
A = 32 sq. m.
Explanation:
We know that,
The perimeter is the sum of the sides of a figure.
To find the perimeter, add the length of the sides.
So, the perimeter of the given rectangle is 4 + 4 + 8 + 8 = 24 m.
We know that,
Area is the number of square units needed to cover a surface.
To calculate the area of a square or rectangle,
multiply the measure of the length by the measure of the width.
length = 4 m; width = 8 m.
A = length x width
A = 4 x 8 = 32 sq m.
c.
P = _____________
A = _____________
Answer:
P = 26 m.
A = 33 sq. m.
Explanation:
We know that,
The perimeter is the sum of the sides of a figure.
To find the perimeter, add the length of the sides.
So, the perimeter of the given figure is 7 + 6 + 3 + 3 + 3 + 4 = 26 m.
To calculate the area of an irregular shape,
you must first divide the shape into smaller rectangles or squares.
Then, add the area of each rectangle and square together to find the total area of the irregular shape.
Area of square = 3 x = 9 m.
Area of rectangle = 6 x 4 = 24 m.
A = 24 + 9 = 33 sq m.
Find the volume of each rectangular solid.
Question 8.
a.
V = ____________
Answer:
V = 45 cubic cm.
Explanation:
The volume of a rectangular solid can be found by figuring out how many cubes of a particular unit size will fit inside the shape.
First, divide the figure into given length units.
Next, divide the figure into given height units.
Finally, divided the figure into given width units.
Length = 3 cm, height = 3 cm, width = 5 cm.
So, 3 x 5 x 3 = 45 cubic cm.
b.
V = ______________
Answer:
V = 18 cubic ft.
Explanation:
The volume of a rectangular solid can be found by figuring out how many cubes of a particular unit size will fit inside the shape.
First, divide the figure into given length units.
Next, divide the figure into given height units.
Finally, divided the figure into given width units.
Length = 3 ft, height = 2 ft, width = 3 ft.
So, 3 x 2 x 3 = 18 cubic feet.
Solve each problem. Show your work.
Question 9.
Sandra arrived at school at 7:37 a.m. She left school at 4:32 p.m. How long did Sandra stay at school?
Sandra stayed at school for ______________ hours and ______________ minutes.
Answer:
Sandra stayed at school for 8 hours and 55 minutes.
Explanation:
Given that,
Sandra arrived at school at 7:37 a.m.
She left school at 4:32 p.m
To find the hours Sandra stayed at school,
First, count the number of whole hours between the starting time and finishing time.
7:37 a.m to 3:37 p.m= 8 hours.
Next count the remaining minutes.
3:37 p.m to 4:32 p.m = 55 minutes.
Finally, Add the hours and minutes.
8 hr + 55 min = 8:55
So, Sandra stayed at school for 8 hours and 55 minutes.
Question 10.
Charlie mowed his neighbor’s lawn. The lawn is 7 yards long and 5 yards wide. How large an area did Charlie mow?
Charlie mowed ____________ square yards.
Answer:
Charlie mowed 35 square yards.
Explanation:
Given that,
Charlie mowed his neighbor’s lawn of 7 yards long and 5 yards wide.
A = Length x Width
A = 7 x 5
A = 35 square yards.
So, the area of mowed is 35 sq yd.
Question 11.
A water tank is 2 meters tall, 5 meters long, and 3 meters wide. The water tank is a rectangular solid. What is its volume?
Its volume is ___________ cubic meters.
Answer:
Volume is 30 cubic meters.
Explanation:
Given that,
A water tank is 2 meters tall, 5 meters long, and 3 meters wide.
Volume = Length x Width x Height
V = 5 x 3 x 2
V = 30 cubic meters.
How much time has elapsed in each problem.
Question 12.
a. Departure: 7:25 a.m.
Arrival: 3:42 p.m.
___________ hours ___________ minutes.
Answer:
8 hours 17 minutes.
Explanation:
Given,
Departure: 7:25 a.m.
Arrival: 3:42 p.m.
To calculate the amount of time that has elapsed,
First, count the number of whole hours between the starting time and finishing time.
from 7:25 a.m. to 3:25 p.m. = 8 hours.
Next, count the remaining minutes.
from 3:25 a.m. to 3:42 p.m. = 17 minutes.
Finally, Add the hours and minutes.
So, The total time elapsed is 8 hours and 17 minutes.
b. Departure: 6:15 p.m.
Arrival: 8:28 a.m.
___________ hours ___________ minutes.
Answer:
14 hours 13 minutes.
Explanation:
Given,
Departure: 6:15 p.m.
Arrival: 8:28 a.m.
To calculate the amount of time that has elapsed,
First, count the number of whole hours between the starting time and finishing time.
from 6:15 p.m. to 8:15 a.m. = 14 hours.
Next, count the remaining minutes.
from 8:15 a.m. to 8:28 a.m. = 13 minutes.
Finally, Add the hours and minutes.
So, The total time elapsed is 14 hours and 13 minutes.