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Worksheet: Conversion between Ratios, Fractions, and Percents

Q1:

Fill in the missing value: 5 0 % of is 60.

Q2:

Fill in the missing value: 8 5 % of is 510.

Q3:

On a train, 32 out of 50 seats are occupied. What percentage of seats are occupied and what percentage are empty?

  • A occupied seats 3 2 % , empty seats 6 8 %
  • B occupied seats 3 2 % , empty seats 5 0 %
  • C occupied seats 5 0 % , empty seats 5 0 %
  • D occupied seats 6 4 % , empty seats 3 6 %

Q4:

There are 1 000 students in a school, of whom 292 are in the first grade and 228 are in the second grade. The rest of the students are in higher grades. What percentage of students are in higher grades?

  • A 2 9 1 5 %
  • B 2 2 4 5 %
  • C 5 2 %
  • D 4 8 %

Q5:

James and Noah took an exam. James got of the questions correct, and Noah scored 79 out of 100. Who got the higher mark and how many more marks did they receive?

  • ANoah, 90
  • BJames, 11
  • CJames, 21
  • DNoah, 69

Q6:

Daniel and Anthony took an exam. Daniel got of the questions correct, and Anthony scored 32 out of 90. Who got the higher mark and how many more marks did they receive?

  • AAnthony, 63
  • BDaniel, 31
  • CDaniel, 58
  • DAnthony, 5

Q7:

Express the following ratio as a percent: 4 5 1 4 out of 100 forks.

Q8:

Fill in the missing value: 1 3 4 0 = % .

Q9:

Fill in the missing value: 1 1 4 = % .

Q10:

What is 9 0 % + 3 % + 1 2 0 ?

Q11:

In an English exam, Michael scored 9 out of 20. What percentage of the exam did Michael get right?

Q12:

Fill in the missing value: 5 1 6 × 1 6 5 = % .

Q13:

Complete the definition: A percentage is a ratio .

  • A whose first term is greater than its second term
  • B whose first term is 100
  • C whose second term is greater than its first term
  • Dwhose second term is 100
  • E whose second term is less than 100