NCERT Class 7 Mathematics Model Paper 2 Questions and Answers Part 4 (For CBSE, ICSE, IAS, NET, NRA 2023)
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29. Construct a XYZ if it is given that , and write steps of construction also.
Ans:
Steps:
1. Draw of length 5 cm.
2. At X draw a ray making an angle of with XY.
3. At Y draw a ray making an angle of with YX.
4. Name the point of intersection of XP and as Z.
5. is the required triangle.
30. Simplify
(i)
(ii)
(iii)
Or
Simplify:
Ans:
(i)
(ii)
(iii)
OR
31.
(i) What should be added to to get .
(ii) Subtract the sum of and from 10.
Ans:
(i) Let ‘k’ be added to
(ii) Sum of and
Now,
32. Out of her total monthly income, Mrs. Saxena spends 30 % on house rent and 60 % of the rest on household expenses. If she saves ₹ 6300 per month, what is her total monthly income?
OR
(i) Chalk contains calcium, carbon, and oxygen in the ratio 10: 3: 12. Find the percentage of calcium in chalk.
(ii) If in a stick of chalk, carbon is 5 g, what is the mass of chalk stick?
Ans:
Let the total monthly income be ₹ x
So, Amount spent on house rent = 30 % of
Remaining amount left
Amount of money spent on household
Expenses = 60 % of
Now, remaining income left
Since, she saves ₹ 6300
So,
Monthly income
OR
(i) Given ratio
Total part
Part of Calcium
Percentage of calcium part in chalk
(ii) Quantity of Carbon in chalk stick = 3 g
Let the weight of chalk be x g.
Part of Carbon
Percentage of carbon part in chalk
Then, 12 % of
Hence the weight of chalk stick is 25 g.