Worksheet: Percentage

In this worksheet, we will practice finding the percentage of a whole by using models such as tape diagrams, grids, or number lines.

Q1:

What fraction of the shape is shaded?

  • A 4 5
  • B 1 4
  • C 1 6
  • D 1 5
  • E 5 6

If the whole shape represented 1, what would the shaded part represent?

If the whole shape represented 100, the shaded area would then represent the percent of the whole shape that is shaded. What percent is this? Note: the diagram can be seen as a double number line.

  • A 3 0 %
  • B 2 5 %
  • C 2 0 %
  • D 8 0 %
  • E 7 5 %

Q2:

What fraction of the shape is shaded?

  • A 1 3
  • B 1 4
  • C 3 5
  • D 3 4
  • E 1 5

If the whole shape represented 1, what would the shaded part represent?

If the whole shape represented 100, the shaded area would then represent the percent of the whole shape that is shaded. What percent is this?

Note: the diagram can be seen as a double number line.

Q3:

In a charity event, the organisers are expecting 25 out of the 80 invited guests to show up. If 15 guests have arrived, what percent of the expected guests have not yet arrived?

  • A 3 1 %
  • B 6 0 %
  • C 1 8 %
  • D 4 0 %
  • E 6 8 %

Q4:

The given table shows the average shots on target for two hockey players. Who has the better average, Player A or Player B?

Name Player A Player B
Average 2 shots out of 5 6 shots out of 12
  • APlayer B
  • BPlayer A

Q5:

While practicing, a soccer player scored 21 out of 49 shots. Which of the following represents the percentage of missed attempts?

  • A 1 2 %
  • B 1 6 %
  • C 2 5 %
  • D 6 0 %
  • E 4 0 %

Q6:

Mariam created a scale model of a boat of an 80 feet. If the model she made was 19.2 inches long, what percent scale did Mariam use to create it?

Q7:

A university organised a celebration for the students. If 170 out of the 356 boys and 292 out of the 477 girls attended the celebration, find, to the nearest whole percent, the percentage of students who did not attend the celebration.

  • A 4 8 %
  • B 5 5 %
  • C 6 1 %
  • D 4 5 %
  • E 3 9 %

Q8:

Fill in the blanks: 5 3 % + 4 % 1 6 % = % .

Q9:

Fill in the blank: 5 7 % + 9 5 % = 1 0 0 % .

Q10:

Fill in the blanks: 8 9 % ( 3 8 % + 1 3 % ) = % .

Q11:

If 8 5 % of a class are girls, what percentage of the class are boys?

Q12:

A dress is 2 4 % cotton, 3 9 % wool, and the rest of the materials are synthetic. What percentage of the dress is synthetic?

Q13:

Complete the table which shows how a family spend their income.

Expenditure Rent Food Others Saving
Percentage 2 0 % 3 0 % 2 5 %

Q14:

Complete the table which shows the percentages of total production of each farm in a town.

Farm First Second Third Fourth
Percentage of Production 1 0 % 5 % 4 5 %

Q15:

Use equivalent percentages, decimals and fractions to complete this sum, giving your answer as a percentage: 8 % + 0 . 0 9 + 1 2 = % .

Q16:

What percentage of the square is shaded?

  • A 1 2 %
  • B 9 4 %
  • C 3 8 %
  • D 6 %
  • E 4 %

What fraction of the square does each small square represent?

  • A 1 1 0 0
  • B 6 1 0 0
  • C 1 5 0
  • D 1 1 0
  • E 6 5 0

If the whole square represented 125, what would each small square represent? What then is the value of 6 small squares?

  • A12.5, 18.50
  • B12.5, 75
  • C1.25, 7.50
  • D0.125, 0.75
  • E1.25, 7.25

Which of the following statements shows that 0 . 0 6 × 1 2 5 is equal to 6 % of 125?

  • A 6 × 1 2 5 1 0 0 = 0 . 0 6 × 1 2 5
  • B 1 2 5 1 0 0 = 1 . 2 5
  • C 6 × 1 . 2 5 = 7 . 5 0
  • D 6 × 1 2 5 = 7 5 0
  • E 6 1 0 0 = 0 . 6 1 0

Q17:

What percent of the square is shaded?

  • A68%
  • B31%
  • C67%
  • D69%
  • E32%

What fraction of the square does each of its columns represent? What fraction does one little square represent? Express 69% as a sum of these fractions.

  • A 1 1 0 , 1 1 0 0 , 6 9 % = 6 1 0 + 9 1 0 0
  • B 1 1 0 0 , 1 1 0 , 6 9 % = 6 1 0 + 9 1 0
  • C 1 1 0 0 , 1 1 0 , 6 9 % = 6 1 0 0 + 9 1 0
  • D 1 1 0 , 1 1 0 0 , 6 9 % = 6 1 0 0 + 9 1 0 0
  • E 1 1 0 0 , 1 1 0 , 6 9 % = 6 1 0 + 9 1 0 0

If the whole square represented 1 2 5 0 , what would each of its columns represent? What would one little square represent? Express 69% of 1 2 5 0 using these values.

  • A12.5, 125, 6 9 % 1 2 5 0 = 6 × 1 2 5 + 9 × 1 2 . 5 o f
  • B125, 12.5, 6 9 % 1 2 5 0 = 6 × 1 2 . 5 + 9 × 1 2 . 5 o f
  • C12, 12.5, 6 9 % 1 2 5 0 = 6 × 1 2 5 + 9 × 1 2 . 5 o f
  • D12.5, 125, 6 9 % 1 2 5 0 = 6 × 1 2 . 5 + 9 × 1 2 5 o f
  • E12.5, 125, 6 9 % 1 2 5 0 = 6 × 1 2 5 + 9 × 1 2 5 o f

Which of the following equalities shows that 69% of 125 can be found by multiplying 1 2 5 0 by 0.69?

  • A 6 1 0 + 9 1 0 0 × 1 2 5 0 = 6 × 1 2 5 0 1 0 + 9 × 1 2 5 0 1 0 0
  • B 9 × 1 2 . 5 = 1 1 2 . 5
  • C 6 × 1 2 5 = 7 5 0
  • D 0 . 6 9 = 6 9 1 0 0
  • E 6 9 1 0 0 = 6 1 0 + 9 1 0 0

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