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1. There are 40 students in a class. If 15% are absent on a particular day, find the number of students present in the class.

2. In an examination, 300 students appeared. Out of these students, 28% got an A grade, 54% got a B grade, and the remaining just passed. If no student failed, find the number of students who just passed.

3. Emma scored 72 marks out of 80 in her English exam. What percentage did she score?

4. a) Express 24 minutes as a percentage of 2 hours.
b) Express 20 cm as a percentage of 1 meter.

5. In a class of 30 students, 18 are girls. What percentage of the class are girls?

Answer :

  1. To find the number of students present:

    • Total students = 40.
    • Absent = 15% of 40 = [tex]0.15 \times 40 = 6[/tex] students.
    • Present = Total students - Absent = [tex]40 - 6 = 34[/tex] students.

  2. To find students who just passed:

    • Total students = 300.
    • Students with an A grade = 28% of 300 = [tex]0.28 \times 300 = 84[/tex].
    • Students with a B grade = 54% of 300 = [tex]0.54 \times 300 = 162[/tex].
    • Students who just passed = Total - A - B = [tex]300 - 84 - 162 = 54[/tex] students.

  3. To find Emma's percentage:

    • Marks scored = 72 out of 80.
    • Percentage = [tex]\left( \frac{72}{80} \right) \times 100 = 90\%[/tex].

  4. a) Express 24 mins as a percentage of 2 hours:

    • 2 hours = 120 minutes.
    • Percentage = [tex]\left( \frac{24}{120} \right) \times 100 = 20\%[/tex].

    b) Express 20 cm as a percentage of 1 meter:

    • 1 meter = 100 cm.
    • Percentage = [tex]\left( \frac{20}{100} \right) \times 100 = 20\%[/tex].

  5. Percentage of the class that are girls:

    • Total students = 30.
    • Girls = 18.
    • Percentage of girls = [tex]\left( \frac{18}{30} \right) \times 100 = 60\%[/tex].

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