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Sample Question Paper 353: Cos Cos Sin Sin 32 58 59 31

The document contains a sample question paper with various mathematical problems and proofs, including geometry, algebra, and probability. It includes tasks such as proving inequalities, calculating volumes and areas, and interpreting data through bar charts. Additionally, it provides options for visually impaired learners to engage with the material through descriptive instructions.

Uploaded by

RAHUL MAHAJAN
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62 views2 pages

Sample Question Paper 353: Cos Cos Sin Sin 32 58 59 31

The document contains a sample question paper with various mathematical problems and proofs, including geometry, algebra, and probability. It includes tasks such as proving inequalities, calculating volumes and areas, and interpreting data through bar charts. Additionally, it provides options for visually impaired learners to engage with the material through descriptive instructions.

Uploaded by

RAHUL MAHAJAN
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Sample Question Paper 353

23. In the given figure, S is any point on QR. Prove that

PQ + QR + RP > 2PS

24. In the given figure, find the value of x.

25. The volume of a cube is 1728 cubic cm. Find its total surface area.

cos2 32°+ cos2 58°


26. Evaluate :
sin 2 59°+ sin 2 31°

27. Find the sum

1 + 1 + 1 + ... + 1
2 6 12 156

1 1 1
28. Prove that : + + =1
1 + x b−a + x c−a 1 + xa−b + x c− b 1 + x b−c + x a −c

29. A salesman sells articles at Rs 5 each. He sells 1600 articles in the first week. In the second
week, he sells 15% more than in the first week and in the third week, he sells 10% more
than in the second week.

Calculate the amount received by the salesman if he gets 12% of the price of each article
on the first 1000 sold and 15% of the price of each article he sells in excess of 1000.
354 Mathematics

30. Prove that the medians drawn on equal side of an isosceles triangle are equal.

31. Draw a ∆ABC in which base BC = 4 cm, ∠B = 60° and ∠C = 45°

OR

(For visually impaired learners only)

Write steps of construction of a ∆ABC in which base BC = 4 cm, ∠B = 60° and


∠C = 45°.

32. A square flower bed is prepared in the centre of a square field, of side 40 m, leaving a
gravel path all around the bed. The total cost of laying the flower bed and gravels at the
path at the rate of Rs 2.75 and Rs 1.50 per sq. m respectively is Rs 4020. Find the width
of the path.

OR

(For visually impaired learners only)

A square flower bed is prepared in the centre of a square field of side 40 m, leaving a
path of width 2 m around it. Find the total cost of laying the flower bed and the path
at the rate of Rs 2.75 and 1.50 sq. m respectively.

33. Three coins are tossed

(i) Write all possible outcomes

(ii) Find the probability of getting atleast two head.

34. A survey on causes of strikes in factories gave the following results :

Economic 32%

Political 28%

Rivalry 10%

Accidents 20%

Draw a bar chart to a represent the above data.

OR

(For visually impaired learners only)

The expenditure of a company under different heads are shown by the following bar chart.
Read the bar chart and answer the following :

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