Practicing Class 7 Maths MCQ and Class 7 Maths Chapter 8 Working with Fractions MCQ Questions Online Test with Answers daily helps in time management.
MCQ on Working with Fractions Class 7
Working with Fractions MCQ Class 7
Class 7 Maths MCQ Chapter 8 Working with Fractions
Multiple Choice Questions
Question 1.
Multiplication of \(\frac{6}{15}\) and \(\frac{5}{24}\) is
(a) \(\frac{1}{12}\)
(b) \(\frac{1}{4}\)
(c) \(\frac{5}{4}\)
(d) \(\frac{2}{5}\)
Answer:
(a) \(\frac{1}{12}\)
Question 2.
\(\frac{3}{5}\) of \(\frac{6}{13}\) is equal to
(a) \(\frac{18}{13}\)
(b) \(\frac{3}{65}\)
(c) \(\frac{6}{65}\)
(d) \(\frac{18}{65}\)
Answer:
(d) \(\frac{18}{65}\)
Question 3.
2\(\frac{1}{2}\) of \(\frac{3}{4}\) is equal to
(a) \(\frac{15}{8}\)
(b) \(\frac{12}{15}\)
(c) \(\frac{1}{8}\)
(d) \(\frac{8}{15}\)
Answer:
(a) \(\frac{15}{8}\)
Question 4.
\(\frac{6}{5}\) of 3\(\frac{2}{3}\) is equal to
(a) \(\frac{22}{15}\)
(b) \(\frac{22}{25}\)
(c) 4\(\frac{2}{5}\)
(d) 6\(\frac{1}{8}\)
Answer:
(c) 4\(\frac{2}{5}\)
Question 5.
If a rectangular field is 16\(\frac{1}{3}\) m long and 10\(\frac{2}{5}\) m wide then the area of the field is
(a) 169\(\frac{13}{15}\) cm2
(b) 191\(\frac{12}{17}\) cm2
(c) 171\(\frac{12}{17}\) cm2
(d) 129\(\frac{13}{15}\) cm2
Answer:
(a) 169\(\frac{13}{15}\) cm2
Question 6.
Ravi had 63 chocolates. Sonu had \(\frac{1}{7}\) of the chocolates that Ravi had. The number of chocolates Sonu has
(a) 6
(b) 8
(c) 10
(d) 9
Answer:
(d) 9
Question 7.
If \(\frac{4}{5} \div x=\frac{4}{15}\), then the value of x is
(a) 3
(b) \(\frac{1}{3}\)
(c) \(\frac{15}{4}\)
(d) \(\frac{5}{3}\)
Answer:
(a) 3
Question 8.
If \(\frac{3}{4} \div y=\frac{1}{8}\), then the value of y is
(a) 6
(b) \(\frac{1}{8}\)
(c) \(\frac{1}{3}\)
(d) \(\frac{2}{3}\)
Answer:
(a) 6
Question 9.
\(\left(5 \div \frac{3}{10}\right) \times \frac{9}{25}\) is equal to
(a) 6
(b) \(\frac{1}{6}\)
(c) \(\frac{1}{10}\)
(d) \(\frac{50}{3}\)
Answer:
(a) 6
Question 10.
Rahul has \(\frac{2}{3}\) of a pizza. He wants to share it equally with three friends. How much pizza will each person get?
(a) \(\frac{2}{9}\)
(b) \(\frac{3}{2}\)
(c) \(\frac{1}{2}\)
(d) \(\frac{1}{3}\)
Answer:
(a) \(\frac{2}{9}\)
Question 11.
The reciprocal of 3\(\frac{1}{2}\) is
(a) \(\frac{7}{2}\)
(b) \(\frac{2}{7}\)
(c) 1\(\frac{2}{3}\)
(d) None of these
Answer:
(b) \(\frac{2}{7}\)
Question 12.
\(\frac{1}{3} \div \frac{5}{18}\) is equal to
(a) \(\frac{5}{54}\)
(b) \(\frac{6}{5}\)
(c) \(\frac{5}{6}\)
(d) None of these
Answer:
(b) \(\frac{6}{5}\)
Assertion-Reason Based Questions
Study the Assertion (A) and Reason (R) statements given below and choose the correct alternative.
Question 1.
Assertion (A): If Sushant reads \(\frac{1}{3}\) part of a book in 1 hour, then \(\frac{5}{6}\) part of the book he will read in 2\(\frac{1}{2}\) hours.
Reason (R): When two proper fractions are multiplied, the product is less than each of the fractions.
(a) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Answer:
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
Question 2.
Assertion (A): The lowest form of \(\frac{11}{2} \times \frac{3}{10}\) is 1\(\frac{13}{20}\).
Reason (R): \(\frac{2}{7}\) of \(\frac{3}{4}\) is greater than \(\frac{3}{5}\) of \(\frac{5}{8}\).
(a) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Answer:
(c) (A) is true, but (R) is false.
Question 3.
Assertion (A): \(\frac{5}{2} \div \frac{25}{4}=\frac{2}{5} \times \frac{4}{25}\)
Reason (R): While dividing a fraction by another fraction, we multiply the first fraction by the reciprocal of the other fraction.
(a) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Answer:
(d) (A) is false, but (R) is true.
Question 4.
Assertion (A): The product of two numbers is 20\(\frac{3}{5}\). If one of them is 2\(\frac{2}{5}\), then the other number is 8\(\frac{7}{12}\).
Reason (R): \(\frac{a}{b} \div \frac{c}{d}=\frac{b}{a} \times \frac{d}{c}\)
(a) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Answer:
(c) (A) is true, but (R) is false.
Fill in the blanks.
1. 4 × \(\frac{6}{5}\) = ____________
Answer: \(\frac{24}{5}\)
2. 3 × 5\(\frac{5}{6}\) = ____________
Answer: \(\frac{35}{2}\)
3. \(\frac{5}{10}\) of 1 litre = ____________ millilitre
Answer: 500
4. \(\frac{1}{3}\) of an hour = ____________ minutes
Answer: 20
5. \(\frac{5}{3}\) of \(\frac{27}{25}\) = ____________
Answer: \(\frac{9}{5}\)
6. The next fraction in pattern \(\frac{1}{24}, \frac{1}{12}, \frac{1}{6}, \frac{1}{3}\) is ____________
Answer: \(\frac{2}{3}\)
7. \(\frac{5}{6} \div \frac{3}{8}\) = ____________
Answer: \(\frac{20}{9}\)
8. 7 ÷ \(\frac{4}{5}\) = ____________
Answer: \(\frac{35}{4}\)
9. \(12 \frac{1}{2} \div \frac{3}{2}\) = ____________
Answer: \(\frac{25}{3}\)
10. \(9 \frac{5}{7} \div 7 \frac{5}{9}\) = ____________
Answer: \(\frac{9}{7}\)
11. The simplest form of \(\frac{3}{8} \div \frac{2}{3}\) is ____________
Answer: \(\frac{9}{16}\)
12. On dividing 7 by \(\frac{2}{5}\), the result is ____________
Answer: \(\frac{35}{2}\)
State whether the following statements are True or False.
1. Multiplication of \(\frac{2}{3}\) and \(\frac{5}{9}\) is \(\frac{7}{27}\).
Answer: False
2. \(\frac{1}{2}\) of 17 is equal to 8\(\frac{1}{2}\).
Answer: True
3. \(\left(3 \frac{1}{2}\right) \times\left(5 \frac{1}{2}\right)\) is equal to \(\frac{15}{2}\).
Answer: False
4. Multiplication of \(\frac{9}{25}\) and \(\frac{13}{15}\) is \(\frac{117}{125}\).
Answer: False
5. \(\frac{9}{25}\) of \(\frac{125}{81}\) is \(\frac{5}{9}\).
Answer: True
6. The reciprocal of a fraction is obtained by inverting it upside down.
Answer: True
7. If a fraction is greater than 1, then its reciprocal is less than 1.
Answer: True
8. The reciprocal of \(\frac{1}{2}\) is \(\frac{1}{4}\).
Answer: False
9. The lowest form of 3 ÷ 2\(\frac{5}{6}\) is \(\frac{17}{2}\).
Answer: False
10. 4 ÷ 4\(\frac{2}{3}\) = \(\frac{6}{7}\).
Answer: True
Match the columns.
Question 1.
Answer:
(i) – (e)
(ii) – (d)
(iii) – (c)
(iv) – (b)
(v) – (a)
Question 2.
Answer:
(i) – (e)
(ii) – (d)
(iii) – (a)
(iv) – (b)
(v) – (c)
Case-Based Questions
Question 1.
Shyla made a graph of her daily schedule as follows.
Based on the above information, answer the following questions.
(a) How much time does Shyla spent in school?
(b) For how many hours does Shyla study?
(c) How much time does she get for herself?
Answer:
(a) 7 hours
(b) 3 hours
(c) 4 hours
Question 2.
Ruhi made a cake using the ingredients given below. After making the cake, she distributes it to poor children.
- Sugar = 2 cups
- Coconut = 1 cup
- Coco powder = 1 tablespoon
- Eggs = 2
- Milk = \(\frac{3}{4}\) cup
- Salt = \(\frac{1}{8}\) teaspoon
- Butter = 1\(\frac{1}{2}\) tablespoon
Based on the above information, answer the following questions.
(a) How much of each ingredient will be needed if a triple amount of cake is to be made?
(b) How much of each ingredient will be needed if half the amount of cake is to be made?
(c) What value is being promoted?
Answer:
(a) Sugar = 6 cups
Milk = \(\frac{9}{4}\) cups
Coconut = 3 cups
Salt = \(\frac{3}{8}\) teaspoon
Coco powder = 3 tablespoon
Butter = 4\(\frac{1}{2}\) tablespoon
Eggs = 6
(b) Sugar = 1 cup
Milk = \(\frac{3}{8}\) cup
Coconut = \(\frac{1}{2}\) cup
Salt = \(\frac{1}{16}\) teaspoon
Coco powder = \(\frac{1}{2}\) tablespoon
Butter = \(\frac{3}{4}\) tablespoon
Eggs = 1
(c) Love for poor children
Question 3.
The direction of the health syrup recommends that an adult of 70 kg or over can take 3 teaspoons every 6 hours as needed. An adult whose weight is between 50 kg and 60 kg should take only 2\(\frac{1}{4}\) teaspoons every 6 hours. Each teaspoon contains \(\frac{1}{6}\) gm of syrup.
(a) How many grams of syrup will a 70 kg adult consume in one day if they take the maximum recommended dose?
(b) How many grams of syrup will a 55 kg adult consume in one day if they take the maximum recommended dose?
Answer:
(a) 2
(b) \(\frac{3}{2}\)
Complete the following table.
Question 1.
Complete the table by multiplying and reducing to the lowest form, and convert into a mixed fraction.
Answer:
(ii) \(\frac{28}{3}\), 9\(\frac{1}{3}\)
(iii) \(\frac{36}{7}\), 5\(\frac{1}{7}\)
(iv) \(\frac{41}{2}\), 20\(\frac{1}{2}\)
(v) \(\frac{101}{5}\), 20\(\frac{1}{5}\)
Question 2.
Answer:
(i) 1
(ii) \(\frac{3}{7}\)
(iii) \(\frac{3}{4}\)
(iv) 125
(v) 1
Short Answer Type Questions
Question 1.
Solve \(\frac{\left(2 \frac{1}{2}+\frac{1}{2}\right)}{\left(2 \frac{1}{2}-\frac{1}{2}\right)}\).
Answer:
\(\frac{3}{2}\)
Question 2.
Find the difference between \(\frac{2}{5}\) of 40 km and \(\frac{2}{3}\) of 9 km.
Answer:
10 km
Question 3.
Justify the statement with an example:
“The product of two improper fractions is more than both the fractions.”
Answer:
(\(\frac{5}{3}\)) × (\(\frac{7}{4}\)) = \(\frac{35}{12}\) = 2\(\frac{11}{12}\)
Question 4.
Yamini bought 12\(\frac{3}{5}\) kg of mangoes and distributed the mangoes among the children. The rate of mangoes is ₹ 75 per kg. Calculate the amount spent on mangoes. What value is being promoted?
Answer:
₹ 945; The value being promoted is the act of sharing and kindness.
Question 5.
Look at the following figures and write the fraction of the shaded part.
Answer:
(a) 3 × \(\frac{2}{9}\)
(b) 3 × \(\frac{1}{4}\)
Long Answer Type Questions
Question 1.
(a) Solve \(\frac{2 \frac{1}{2}+\frac{1}{5}}{2 \frac{1}{2} \div \frac{1}{5}}\)
(b) Solve \(\frac{\frac{1}{4}+\frac{1}{5}}{1-\frac{3}{8} \times \frac{3}{5}}\)
(c) Divide \(\frac{3}{10}\) by (\(\frac{1}{4}\) of \(\frac{3}{5}\))
Answer:
(a) \(\frac{27}{125}\)
(b) \(\frac{18}{31}\)
(c) 2
Question 2.
Family photograph has length 14\(\frac{2}{5}\) cm and breadth 10\(\frac{2}{5}\) cm. It has border of uniform width 2\(\frac{3}{5}\) cm. Find the area of the framed photograph.
Answer:
305\(\frac{19}{25}\) cm2