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Unit Test: Comparing Quantities | Mathematics (Maths) Class 7 PDF Download

Time: 1 hour M.M. 30 

Attempt all questions. 

  • Question numbers 1 to 5 carry 1 mark each. 
  • Question numbers 6 to 8 carry 2 marks each. 
  • Question numbers  9 to 11 carry 3 marks each. 
  • Question numbers 12 & 13 carry 5 marks each.

Q1: A shopkeeper prefers to sell his goods at the cost price but uses a weight of 800 gm instead of 1 kg weight. He earns a profit of: (1 mark)
(a) 2%
(b) 8%
(c) 20%
(d) 25%

Q2: Opposite of profit of Rs.250 is: (1 mark)
(a) profit of Rs.50
(b) loss of Rs.250
(c) loss of Rs.150
(d) none

Q3: Mohit sold a T.V. for Rs. 3,600, gaining one-fourth of its selling price. Find the gain (in Rs.) (1 mark)

Q4: Find the ratio of 800 g to 7 kg.

Q5: Find 25% of 150%. (1 mark)

Q6: Find (2 marks)
(a) 15% of 80
(b) 25% of 120

Q7: A man buys a certain number of articles at a rate of 15 for Rs. 112.50 and sells them at a rate of 12 for Rs. 108. Find His gain as a percentage. (2 marks)

Q8: What rate gives an interest of Rs. 750 on a sum of Rs. 25000 in 4 years? (2 marks)

Q9: Anjali saves Rs. 7000 from her salary every month. If it is 4% of her salary, find her salary. (3 marks)

Q10: It is given that the Population of Karnataka = 850 lakhs, and the population of Tamil Nadu = 780 lakhs.
The area of Karnataka = 2 lakh km², and the area of Tamil Nadu = 1.5 lakh km². (2+1 marks)

(a) How many people are present per km² in both these States? 
(b) Which of the above States is less populated?

Q11: Out of 20,000 voters in a constituency, 75% of people voted. Find the percentage of voters who didn’t vote. Now, find out how many of them actually did not vote.   (3 marks)

Q12: Rohit sold two books at Rs 20 each. On one he gains 15% and on the other, he loses 15%. Then he made:  (5 marks)
(a) no profit no loss
(b) loss of 3%
(c) gain of 2%
(d) none of these

Q13: When the price of mangoes is reduced by 15%, it enables a man to buy 10 more mangoes for Rs 50. Then find the reduced price per mango.   (5 marks)

The document Unit Test: Comparing Quantities | Mathematics (Maths) Class 7 is a part of the Class 7 Course Mathematics (Maths) Class 7.
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FAQs on Unit Test: Comparing Quantities - Mathematics (Maths) Class 7

1. What are the key concepts involved in comparing quantities in mathematics?
Ans. The key concepts in comparing quantities include understanding ratios, proportions, and percentages. Ratios express the relative sizes of two quantities, while proportions show that two ratios are equal. Percentages provide a way to express a quantity as a fraction of 100, making it easier to compare different quantities.
2. How can I effectively teach students to compare quantities?
Ans. To effectively teach students to compare quantities, use visual aids such as charts and graphs to illustrate relationships. Incorporate real-life examples where students can apply these concepts, like comparing prices or distances. Engage students in hands-on activities, such as measuring objects or calculating discounts, to enhance their understanding.
3. What are some common mistakes students make when comparing quantities?
Ans. Common mistakes include misunderstanding the concept of ratios and proportions, miscalculating percentages, and confusing the terms 'greater than' and 'less than.' Students may also struggle with setting up equations correctly when comparing quantities, leading to incorrect conclusions.
4. How do I apply the concept of comparing quantities in everyday life?
Ans. You can apply the concept of comparing quantities in everyday life by analyzing prices when shopping, determining the best value for products, comparing speeds or distances when traveling, and assessing time management in daily activities. These comparisons help make informed decisions based on quantitative analysis.
5. What resources are available for practicing comparing quantities?
Ans. Resources for practicing comparing quantities include online math platforms offering interactive exercises, worksheets available for download, and math apps designed for skill development. Additionally, textbooks often contain practice problems, and educational videos can provide explanations and examples to reinforce learning.
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