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Unitary Method — Practice Quiz

ICSE · Class 7 · Mathematics

Try a 4-question quiz on Unitary Method for ICSE Class 7 Mathematics: tap an answer to check it and see why. 42 questions in the full chapter test.

42 questions20 flashcards10 formulas & key relations5 concepts

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Quick Quiz: Unitary Method

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Tap an answer to check it instantly. No sign-up needed for these 4.

1

A and B together complete a piece of work in 2 2/5 days. A alone completes the work in 4 days. How long does B alone take to complete the same work?

2

A tap fills 1/4 of a cistern in 1 hour and another tap empties 1/6 of the cistern in 1 hour. If both taps are open together, how long will the cistern take to fill when it starts empty?

3

A watch gains 42 seconds in 80 hours. How many hours will it take to gain 2 minutes 6 seconds?

4

135 kg of corn feeds 45 horses for 8 days. For how many days will the same quantity of corn feed 24 horses?

42 Questions·
multiple choicemultiple correct

Sample Questions

1multiple choice
3 marks

Ajay and Vijay together paint a hall in 6 days. Ajay alone paints it in 8 days. In how many days can Vijay alone paint the hall?

Show answer

24 days

Ajay and Vijay together paint 1/6 of the hall in 1 day. Ajay paints 1/8 of the hall in 1 day. Vijay's 1 day's work = 1/6 - 1/8 = 4/24 - 3/24 = 1/24. So Vijay alone takes 24 days.

2multiple choice
3 marks

A and B can do a piece of work in 15 days and 20 days respectively. How much work will be left after A works alone for 3 days?

Show answer

4/5 of the work

A's 1 day's work = 1/15. In 3 days, A completes 3 x 1/15 = 1/5 of the work. Work left = 1 - 1/5 = 4/5. So 4/5 of the work is left.

3multiple choice
3 marks

A man earns ₹400 in 10 days. Using the unitary method, how much will he earn in 28 days?

Show answer

₹1,120

In 10 days, earnings = ₹400. In 1 day, earnings = ₹400/10 = ₹40. In 28 days, earnings = 28 x ₹40 = ₹1,120. So the answer is ₹1,120.

4multiple choice
3 marks

0.75 m of cloth costs ₹45. What is the cost of 0.6 m of the same cloth?

Show answer

₹36

0.75 m costs ₹45, so 1 m costs ₹45/0.75 = ₹60. Then 0.6 m costs 0.6 x ₹60 = ₹36. So the answer is ₹36.

+38 more questions on Unitary Method (ICSE Class 7 Mathematics)

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Frequently Asked Questions

What are the important topics in Unitary Method for ICSE Class 7 Mathematics?
Key topics in Unitary Method include Core Idea of the Unitary Method, Direct Variation, Inverse Variation, Worked Examples from Direct Variation. Study these first, then practise questions on each for Class 7 exams.
How many practice questions are there for Unitary Method?
There are 42 questions on Unitary Method. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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