Daily Practice Problems Direct and Inverse Variations (Including Time and Work)

Question 1:

Which of the following is an example of direct variation? [Level: Easy]

(a) More the number of articles bought, more will be their cost.

(b) More expenditure, less money saved.

(d) More men will do the work, less number of days required

Question 2:

Which of the following is an example of indirect variation? [Level: Easy]

(a) More the money deposited in a bank more will be the interest earned.

(b) More the speed of a car, less will be the time taken to cover a certain distance.

(d) Less men can do a piece of work; more days are required to complete.

Question 3:

Two kids are playing with two quantities then one kid asked from another that if two quantities x and y are in direct variation, then the ratio is __________. [Level: Easy]

(a) 1

(b) 0

(d) none of these

Question 4:

Teacher asked from students that if two quantities p and q vary directly, find the missing entries x, y and z? [Level: Moderate]

p	6	X	y	30
q	72	60	96	z

(a) 5, 8 and 360

(b) 8, 5, and 360

(d) 360, 5, 8

Question 5:

A bike covers a distance of 200 km consuming 10 litres of petrol. How much distance will it cover consuming 20 litres of petrol? [Level: Moderate]

(a) 400 km

(b) 450 km

(d) 500 km

Question 6:

Raja went for shopkeeper to get some notebooks where shopkeeper mentioned the cost of 5 notebooks cost Rs. 150, find the cost of 50 such notebooks? [Level: Moderate]

(a) Rs. 1404

(b) Rs. 1400

(d) Rs. 1500

Question 7:

A truck consumes 24 litres of diesel for moving through a distance of 360 km. How much distance will it cover in 64 litres of diesel? [Level: Moderate]

(a) 900 km

(b) 1000 km

(d) 960 km

Question 8:

If 27 identical articles cost ₹ 1,890, how many articles can be bought for ₹ 1,750? [Level: Moderate]

(a) 20 articles

(b) 25 articles

(d) 35 articles

Question 9:

If the total weight of 11 identical articles is 66 kg, how many articles of the same type would weigh 222 kg? [Level: Moderate]

(a) 32 articles

(b) 30 articles

(d) 35 articles

Question 10:

Sakshi asked from Joy that which of the following statement is true about inverse variation? [Level: Easy]

(a) xy = constant

(b) = constant

(d) y = constant

Question 11:

Teacher asked from students that if p and q vary inversely, find the values x, y and z? [Level: Moderate]

P	16	32	8	z
Q	16	X	y	4

(a) 8, 32 and 64

(b) 32, 8 and 64

(d) 8, 64 and 32

Question 12:

In an examination question asked that if 72 men can do a work in 180 days, in how many days will 48 men do the same work? [Level: Moderate]

(a) 200 days

(b) 250 days

(d) 270 days

Question 13:

10 pipes, all of the same size, fill a tank in 40 minutes. How long will it take to fill the same tank, if 20 pipes of the same size are used? [Level: Difficult]

(a) 24 minutes

(b) 25 minutes

(d) 22 minutes

Question 14:

In a fort 150 men had provisions for 45 days. After 10 days, 25 men left the fort. How long would the food last at the same rate? [Level: Difficult]

(a) 45 days

(b) 40 days

(d) 42 days

Question 15:

5 men or 3 women earn Rs. 950 in one day. Find one day's earning of a man? [Level: Moderate]

(a) Rs. 100

(b) Rs. 150

(d) Rs. 110

Question 16:

2 men or 3 women can do a piece of work in 45 days. Find in how many days will 6 men and 1 woman be able to complete the same work? [Level: Difficult]

(a) 13 days
(b) 12 days
(c) 11 days
(d) 15 days

Question 17:

Cost of 20 identical articles is Rs. 100. Find the cost of 40 similar articles? [Level: Moderate]

(a) Rs. 120

(b) Rs. 160

(d) Rs. 200

Question 18:

A camp had sufficient food for 200 soldiers for 10 days. However, some soldiers left on the first day only and then the food lasted for 20 days. Find how many soldiers had left? [Level: Difficult]

(a) 100 soldiers

(b) 150 soldiers

(d) 120 soldiers

Question 19:

Eight men can dig a field in 14 days, working 6 hours a day. In how many days can 7 men dig the same field, working 8 hours a day? [Level: Difficult]

(a) 12 days

(b) 20 days

(d) 10 days

Question 20:

A can do a piece of work in 80 days and B in 100 days. They work together for first 20 days before B goes away. In how many days will A manage to finish the remaining work? [Level: Difficult]

(a) 40 days

(b) 42 days

(d) 41 days

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You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on ICSE 8 Maths Direct and Inverse Variations (Including Time and Work) NCERT Chapter 10

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on ICSE 8 Maths Direct and Inverse Variations (Including Time and Work) NCERT Chapter 10 useful.

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