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Estimating Percents Worksheet

Estimating Percents Worksheet
  • Page 1
 1.  
Estimate 50% of 80.7.
a.
50
b.
20
c.
40
d.
12


Solution:

50% of 80.7
[Expression to be evaluated.]

= 50 / 100 of 80.7
[Rewrite 50% with an equal fraction 50100.]

= 50 / 100 of 80
[Replace 80.7 with 80, which is compatible with the fraction.]

= 1 / 2× 80

= 40
[Simplify.]


Correct answer : (3)
 2.  
John spent $40.45 for dinner. Which of the following is a good estimate of a 20% tip on the bill?
a.
$4
b.
$10
c.
$8
d.
$20


Solution:

20% of 40.45
[Expression to be evaluated.]

= 20 / 100 of 40.45
[Rewrite 20% with an equal fraction 20100.]

= 20 / 100of 40
[Replace 40.45 with 40, which is compatible with the fraction.]

= 1 / 5× 40

= 8
[Simplify.]

So, a good estimate of a 20% tip on the bill $40.45 is $8.


Correct answer : (3)
 3.  
A basketball team made 11 out of 52 shots. About what percent of shots were made?
a.
25%
b.
20%
c.
80%
d.
75%


Solution:

Percent of shots were made = 11 out of 52 × 100.

= 11 / 52 × 100

= 10 / 50 × 100
[Replace 11 with 10 and 52 with 50.]

= 1 / 5 × 100

= 20

So, the percent of shots were made is 20%.


Correct answer : (2)
 4.  
In an election, 25% of voters voted for bonds for a new school. If 2003 votes were cast, about how many voted for the bonds?
a.
250
b.
700
c.
600
d.
500


Solution:

25% of 2003
[Expression to be evaluated.]

= 25 / 100 of 2003
[Rewrite 25% with an equal fraction 25100.]

= 25 / 100 of 2000
[Replace 2003 with 2000, which is compatible with the number.]

= 1 / 4 × 2000

= 500
[Simplify.]

So, about 500 people voted for the school bonds.


Correct answer : (4)
 5.  
Which of the following models represent 0.75%?


a.
Model 1
b.
Model 2
c.
Model 3
d.
Model 4


Solution:

Each model contains 100 small squares.

Each small square represents 1%.

Model 1 and Model 2 has 75 small squares shaded, representing 75%.

Model 3 has 1 / 4 small square shaded, representing 0.25%.

Model 4 has 3 / 4 small square shaded, representing 0.75%.

Therefore, Model 4 represents 0.75%.


Correct answer : (4)
 6.  
Which of the following models represent more than 0.25% and less than 1%?


a.
Model 1
b.
Model 1, Model 2 and Model 3
c.
Model 3 and Model 4
d.
Model 2 and Model 3


Solution:

Each model contains 100 small squares.

Each small square represents 1%.

Model 1 has 1 small square shaded, representing 1%.

Model 2 has 3 / 4 small square shaded, representing 0.75%.

Model 3 has 1 / 2 small square shaded, representing 0.50%.

Model 4 has 1 / 4 small square shaded, representing 0.25%.

Therefore, the models representing more than 0.25% and less than 1% are Model 2 and Model 3.


Correct answer : (4)
 7.  
Which of the following models represent 0.50%?

a.
Model 1
b.
Model 1 and Model 4
c.
Model 4
d.
Model 2 and Model 3


Solution:

Each model contains 100 small squares.

Each small square represents 1%.

Model 1 has 1 / 2 small square shaded, representing 0.50%.

Model 2 has 3 / 4 small square shaded, representing 0.75%.

Model 3 has 11 / 2 small square shaded, representing 1.50%.

Model 4 has 50 small squares shaded, representing 50%.

Therefore, Model 1 represents 0.50%.


Correct answer : (1)
 8.  
Which figure has the least shaded portion?

a.
Figure 1
b.
Figure 4
c.
Figure 3
d.
Figure 2


Solution:

Percent of the shaded region in Figure 1 = 36 / 100 = 36%

Percent of the shaded region in Figure 2 = 40 / 100 = 40%

Percent of the shaded region in Figure 3 = 39 / 100 = 39%

Percent of the shaded region in Figure 4 = 20 / 100 = 20%

20% < 36% < 39% < 40%
[Compare the percents.]

So, Figure 4 has the least shaded portion.


Correct answer : (2)
 9.  
Estimate 15% of 183.
a.
81
b.
54
c.
27
d.
None of the above


Solution:

15% of 183
[Expression to be evaluated.]

= 320 of 183
[Rewrite 15% with an equal fraction 15 / 100 or 3 / 20.]

= 320 × 180
[Replace 183 with 180, which is compatible with the fraction.]

= 31 × 9
[Cancel 180 with 20 .]

= 27
[Simplify.]

15% of 183 is 27.


Correct answer : (3)
 10.  
A football team won 63% of the 48 games they played. Estimate the number of games they lost.
a.
18
b.
25
c.
28
d.
24


Solution:

Total number of games won by the Football team = 63% of 48

= 58 x 48
[Rewrite 63% as a fraction compatible with 48.
63% 62.5% = 62.5 / 100= 5 / 8.]

= 30
[Multiply.]

The football team won a total of 30 games.

= 48 - 30 = 18
Number of games lost = Total number of games played - Number of games won
[Subtract.]

The football team lost about 18 games.


Correct answer : (1)

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