# 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.]

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.

3.
 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%.

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.

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%.

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.

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%.

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.

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.

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.