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% |

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

Each small square represents = 50000 ÷ 100 = 500 spectators

So, 375 spectators are represented by 125 × 3 =

Each small square represents 1%.

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% |

[Write the fraction.]

= 0.3

[Divide.]

=

[Write as a percent.]

30% of the letters are

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 |

60% =

[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% |

Fraction of distance he has to cover =

= 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% |

The fraction of the circle which is painted green =

[108

= 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% |

[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% |

[Add.]

[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?

Activities | Hours per day |

Sleeping | 7 |

School | 5 |

Eating | 2 |

Home work | 3 |

Others | 7 |

a. | 39% | ||

b. | 41% | ||

c. | 34% | ||

d. | 29% |

[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 |

[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% |

[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)