Percent Word Problems Worksheet

Percent Word Problems Worksheet
  • Page 1
 1.  
In a football stadium, there were 375 children out of 50,000 spectators. What percent of the spectators were children?
a.
0.25%
b.
0.75%
c.
0.50%
d.
1%


Solution:


Represent the problem with the help of a model containing 100 small squares.


Each small square represents = 50000 ÷ 100 = 500 spectators
1 / 4 small square represents 1 / 4 × 500 = 125 spectators


So, 375 spectators are represented by 125 × 3 = 3 / 4 small square.

Each small square represents 1%.

3 / 4 small square represents 3 / 4 × 1% = 0.75%

Therefore, 0.75% of the spectators were children.


Correct answer : (2)
 2.  
What percent of the total number of letters in the word PERCENTAGE does the letter E constitute?
a.
30%
b.
25%
c.
40%
d.
20%


Solution:

The letter E appears 3 times and the total number of letters in the word PERCENTAGE is 10.

310
[Write the fraction.]

= 0.3
[Divide.]

= 0.3 × 100100 = 30100 = 30%
[Write as a percent.]

30% of the letters are E in the word PERCENTAGE.


Correct answer : (1)
 3.  
A pizzeria sold 500 pizzas on Monday. How many pizzas were home delivered, if 60% of them were home delivered?
a.
305
b.
300
c.
310
d.
290


Solution:

Number of pizzas home delivered was 60% of 500.

60% = 60100 = 0.6
[Divide 60 by 100 to convert it into decimal.]

0.6 × 500 = 300
[Multiply the decimal by the total number of pizzas.]

300 pizzas were home delivered.


Correct answer : (2)
 4.  
Jimmy needs to cover a distance of 30 km in a race. He covered 18 km in 21.6 minutes. Find the percent of the distance he has to cover to reach the finish line.
a.
30%
b.
50%
c.
60%
d.
40%


Solution:

The remaining distance he has to cover in the race = 30 - 18 = 12 km.

Fraction of distance he has to cover = 12 / 30

= 0.4
[Divide.]

= 0.4 × 100 = 40%
[Multiply by 100 to write as a percent.]

Jimmy has to cover 40% of the distance to reach the finish line.


Correct answer : (4)
 5.  
Brad painted a circle, as shown in the figure. What percent of the circle is painted green?


a.
40%
b.
30%
c.
50%
d.
25%


Solution:

Angle round the center of a circle is 360o.

The fraction of the circle which is painted green = 108 / 360
[108o out of the total 360o.]

= 0.3
[Divide the numerator by the denominator.]

= 0.3 × 100
[To write as a percent, multiply the decimal with 100.]

= 30%

So, 30% of the circle is painted green.


Correct answer : (2)
 6.  
Brian won 8 out of 40 competitions. What percent of the competitions did he win?
a.
30%
b.
25%
c.
28%
d.
20%


Solution:

840 = 8 ÷ 40
[Write the ratio as a division sentence.]

= 0.2
[Divide.]

= 0.2 × 100 = 20%
[Write as a percent.]

Brian won 20% of the competitions.


Correct answer : (4)
 7.  
Francis scored 5 goals and Ethan scored 2 goals in a soccer league final. What percent of goals did Francis score?
a.
75%
b.
81%
c.
76%
d.
71%


Solution:

Total goals = 5 + 2 = 7
[Add.]

Number of goals Francis madeTotal number of goals = 5 / 7
[Write the ratio.]

= 5 ÷ 7 = 0.71
[Write the ratio as a division sentence and divide.]

= 0.71 × 100 = 71%
[Multiply by 100 to write as a percent.]

Francis made 71% of goals.


Correct answer : (4)
 8.  
Andrew's activities in a day are shown in the table. What percent of time does he spend sleeping?
ActivitiesHours per day
Sleeping7
School5
Eating2
Home work3
Others7

a.
39%
b.
41%
c.
34%
d.
29%


Solution:

Time Andrew spends sleepingNumber of hours in a day = 7 / 24
[Write the ratio.]

= 7 ÷ 24
[Write the ratio as a division sentence.]

= 0.29
[Divide.]

= 0.29 × 100 = 29%
[Write as a percent.]

29% of the time Andrew spends sleeping.


Correct answer : (4)
 9.  
Charlie has to type 50 pages of an assignment. He completed 30% of the typing. How many pages did he type?
a.
20
b.
15
c.
18
d.
19


Solution:

30% = 30100
[Express the percent as a fraction.]

= 0.3
[Divide.]

0.3 × 50 = 15
[Multiply the decimal by the total pages.]

Charlie typed 15 pages of assignment.


Correct answer : (2)
 10.  
Paul prepared tea and coffee for his friends. He gave tea to 5 of his friends and coffee to 5 of his friends. What percent of his friends were served tea?
a.
40%
b.
100%
c.
50%
d.
60%


Solution:

510 = 0.5
[Divide the numerator by the denominator.]

= 0.5 × 100 = 50%
[Multiply by 100 to write as a percent.]

50% of his friends were served tea.


Correct answer : (3)

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