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Word Problems Quiz - CBSE Class 7 Mathematics

Free practice quiz: Word Problems (CBSE Class 7 Mathematics). 11 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 7 Mathematics practice quiz has 11 multiple-choice questions on Word Problems, and 11 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

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Fraction as Part of Whole

  • A fraction shows how many equal parts are taken out of the total number of equal parts.
  • The numerator counts the parts taken. The denominator counts all the equal parts of the whole.
Fraction of a whole
\[\text{Fraction} = \frac{\text{parts taken}}{\text{total equal parts}}\]

Common mistake: Writing the total parts on top and the parts taken at the bottom, which flips the fraction.

Fraction of a Quantity

  • The word 'of' means multiply. To find a fraction of a number, multiply the fraction by that number.
  • To find the part left, subtract the part used from the whole quantity.
Fraction of N
\[\frac{a}{b} \text{ of } N = \frac{a \times N}{b}\]
Part left of N
\[N - \frac{a}{b} \times N = \frac{b-a}{b} \times N\]

Common mistake: Giving the part already used when the question asks for the part left or remaining.

Adding and Subtracting Unlike Fractions

  • Before adding or subtracting, make the denominators the same, using the LCM of the denominators.
  • Use subtraction for words like 'remains', 'left', 'how much more' or 'what is needed to fill'.
Addition
\[\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\]
Subtraction
\[\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}\]
Amount still needed
\[\text{needed} = \text{capacity} - \text{current amount}\]

Common mistake: Subtracting numerators and denominators separately, like top minus top over bottom minus bottom. Always make denominators equal first.

Multiplying Fractions

  • Multiply numerators together and denominators together, then simplify.
  • Repeating a fractional amount n times means multiplying the fraction by the whole number n.
Fraction times fraction
\[\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}\]
Whole number times fraction
\[n \times \frac{a}{b} = \frac{n \times a}{b}\]

Common mistake: Multiplying both numerator and denominator by the whole number. Only the numerator gets multiplied.

Dividing a Fraction Equally

  • When a fractional amount is shared equally among n people, divide the fraction by n.
  • Dividing by n is the same as multiplying by its reciprocal, one over n.
Fraction divided by whole number
\[\frac{a}{b} \div n = \frac{a}{b} \times \frac{1}{n} = \frac{a}{b \times n}\]

Common mistake: Multiplying by n instead of dividing, which gives each person more than the total amount shared.

Exam tips

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

  1. John cuts a pie into 8 equal pieces and eats 1 piece. What fraction of the pie does he eat?

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    Answer: A. 1/8

    John eats 1 piece out of 8, so the fraction of pie he consumes is 1/8.

  2. A cake is divided into 12 pieces. Maria ate 1/3 of these pieces. How many pieces did Maria eat?

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    Answer: A. 4

    1/3 of 12 is calculated as (1/3) * 12 = 4. Maria ate 4 pieces.

  3. In a class of 30 students, 2/5 are girls. How many girls are in the class?

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    Answer: B. 12

    2/5 of 30 is (2/5) * 30 = 12.

  4. An orange is cut into 8 pieces. If Alex ate 5 pieces, what fraction of the orange did he eat?

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    Answer: A. 5/8

    Alex ate 5 out of 8 pieces, so the fraction is 5/8.

  5. Clara read 7/10 of a book. If the book has 300 pages, how many pages are left unread?

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    Answer: B. 90 pages

    If Clara read 7/10, she has (3/10) or 90 pages left unread of a 300-page book.

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More questions in this quiz

Answers and explanations are in the full quiz.

  1. A recipe requires 3/4 cup of sugar. If you want to make half of the recipe, how much sugar should you use?
  2. A bottle contains 3/4 liter of milk. If you remove 1/8 liter, how much milk remains?
  3. If 3/4 of a cake is split equally among 6 people, how much cake does each person get?
  4. A jug can hold 7/8 liters of water. If it currently holds 3/4 liters, how much more is needed to fill it?
  5. A circular track is 2/3 kilometer long. If Sam walks around it 3 times, how far does he walk?
  6. A rectangular garden is 2/3 hectares in area. If another garden is added to make 1 hectare in total, how large is the new garden?

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