SEE | Compulsory Mathematics Model Question | Set 2 | Of 2080-2024

SEE Compulsory Mathematics Model Question Set 2 of 2080-2024.

SECONDARY EDUCATION EXAMINATION [SEE]
Compulsory Mathematics (SET 2)
Grade 10-Class 10
SEE – 2080 (2024)
RE-1031
Full Marks – 75
Time - 3 hrs

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Candidates are required to answer the questions in their own words as far as practicable. Figures in the margin indicate the full marks.

Attempt all the questions.

Group 'A' [10x1=10]

1. In a survey of 200 people, 120 like to play football, 85 like to play volleyball and 30 like to play none of these two games.

a) If F and V denote the sets of people who like to play football and volleyball respectively then write the cardinality of n( ̅̅̅̅̅̅̅).[1]

b) Present the above information in a Venn-diagram. [1]

c) How many people like to play volleyball only? Find it. [3]

d) Compare the number of people who like to play both the games and the number of people who don't like any of these two games. [1]

2. Rita is a student studying in class 10. Her mother deposited Rs.50,000 for 2 years in fixed deposit of a bank at compound interest compounded annually for her study expenses and the compound amount at the end of one year is Rs. 56,000.

a) For principal Rs. 'P', time T years and rate of interest R% per year , write the formula to find yearly compound amount 'CA'. [1]

b) Find the annual rate of compound interest offered by the bank. [2]

c) What will be the compound amount that Rita get at the end of 2 years? Find it. [2]

3. Rajiv has got Rs. 12,00,000. He purchased a motorcycle for Rs. 2,00,000 and a land for Rs. 10,00,000. The price of motorcycle has been depreciating at a compound rate of 10% for 2 years, while the price of land has been increasing at the compound rate of 12% .

a) Write the formula to calculate compound growth. [1]

b) What will be the price of land after 2 years? Find it. [1]

c) Will the total price of motorcycle and land after 2 years be Rs. 15,00,000 ? Write with calculation. [2]

4. A merchant exchanged Rs.7,06,062 with pound sterling (£) at the rate of pound sterling (£)1 = NRs. 168.11. After one week, Nepali rupees is devaluated by 2%.

a) What amount of pound sterling (£) does the merchant exchange with the Nepali rupees he had? Find it. [1]

b) What would be the new exchange rate after 2% devaluation of Nepali rupees? Find it. [2]

c) How much rupees will the merchant gain or lose when he exchanged Nepali rupees with the sterling pound at the time of devaluation? Find it. [1]

5. The ratio of slant height and a side of base of square based pyramid is 5:6 and its total surface area is 1536 sq.cm.

a) Write the relation among base area (A), height(h) and volume(v) of the pyramid. [1]

b) Compare the base area and the area of triangular surfaces. [2]

c) Find the volume of the pyramid. [2]

....

See below -

SEE Compulsory Mathematics Model Question Set 2 of 2080-2024.

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