Sub. code 1031
NEB — GRADE X
2082 LP
Old Question
Compulsory Mathematics Question Paper 2082 LP (Old Question)
The candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.
Pass Marks : 32
सबै प्रश्नको उत्तर दिनुहोस् । (Attempt All Questions)
This old question question paper is for Class 10 Compulsory Mathematics, 2082 LP (subject code 1031), carrying full marks of 75 with a pass mark of 32, to be completed within 3 Hours. Answers with step-by-step solutions are available for every question below.
In a survey of 80 students of class ten, the following information was found:
The ratio of students who take extra class of only Maths subject and only Science subject is 4:3.
5 students take extra class of both subjects.
12 students don't take extra class of any subject.
If M and S denote the set of students who take extra class of Maths and Science, respectively, write the set of students who did not take extra class in any of these two subjects in cardinality notation.
Illustrate the above given information in a Venn diagram.
Find the number of students who take extra class of Maths subject.
Compare the number of students who take extra class of at least one subject and who take extra class of at most one subject in ratio.
A sum of money amounts to Rs. 14,580 and Rs. 15,746.40 in 2 years and 3 years, respectively at a certain rate of interest compounded annually.
What should be the rate of compound interest? Find it.
Find the principal.
Compare the simple interest and quarterly compound interest for 1 year at the same rate of interest on the same principal.
A businessman bought a truck for Rs. 40,00,000. The businessman earned Rs. 9,07,000 using the truck for 3 years. Its value was depreciated at the rate of 15% p.a.
Write the formula to find compound depreciation.
Find the selling price of the truck after 3 years.
Find the profit or loss percent to the businessman while selling the truck after 3 years.
Pemba went to the bank to exchange American dollars in order to go abroad. According to currency exchange rate on that day, the buying rate and the selling rate of 1 American dollar are NRs. 142.84 and NRs.143.44, respectively.
Define currency exchange rate.
How many American dollars will Pemba get to exchange for NRs. 2,15,160? Find it.
Due to different circumstances, Pemba cannot go abroad. Then how many Nepali rupees will he get back after exchanging American dollars on the same day? Find it.
A square-based pyramid has slant height 10 cm and the length of a side of base is 12 cm.
How many triangular surfaces are there in a square-based pyramid? Write it.
What is the total surface area of the pyramid? Find it.
What is the volume of the pyramid? Find it.
The total height of the given combined solid is 54 cm and height of the cylindrical part is 30 cm. The slant height of the conical part is 25 cm.
Write the formula to find the radius of base of cone when slant height () and vertical height () of cone are given.
Find the volume of that solid object.
If it is melted to form a cylindrical wire of radius 3.5 mm, what is the length of the wire? Find it.
A rectangular water tank of length 3 meter, breadth 2 meter and height 1.5 meter is built.
What is the cost of plastering the floor and 4 walls of the tank at the rate of Rs. 1,500 per square meter? Find it.
What will be the cost to fill water in the tank at the rate of 25 paisa per litre? Find it.
The fifth term and tenth term of an arithmetic sequence are 23 and 43, respectively.
What is the arithmetic mean between two numbers and ? Write it.
Find the common difference and the first term of the given arithmetic sequence.
Find the sum of the first 10 terms of the sequence.
The area of a rectangular field is 525 square meters. The breadth of the field is 4 meters shorter than its length.
Write the roots of quadratic equation .
Find the length and breadth of the field.
How many maximum numbers of pieces of land can be made with size in that rectangular field? Also present it in a diagram.
Simplify:
Solve:
In the given figure, and .
Write the relation between the area of triangle and parallelogram standing on the same base and between the same parallel lines.
Prove that the areas of and are equal.
In the given figure, is the centre of the circle, where and are given.
Write the relation between the opposite angles of a cyclic quadrilateral.
Find the value of from the given figure.
Verify experimentally that the central angle POR is twice the circumference angle PSR. (Two circles with at least 3 cm radii are necessary.)
Prove that:
is a rectangle in which and .
Construct a rectangle according to the given measurements. Also, construct a triangle having one angle and equal in area to the rectangle
Why are the areas of and rectangle equal? Give reason.
A man of height is flying a kite. The length of string on the air is and string formed an angle with horizon.
Give an example of angle of depression.
Draw a figure according to the given context.
What is the height of the kite from the ground level? Find it.
If the angle formed by string with horizon decreases from to , then what is the height of the kite from the ground level now? Find it.
The heights of 50 students of grade ten of a school are presented in the following table.
Height (in cm) | 110−120 | 120−130 | 130−140 | 140−150 | 150−160 |
No. of students | 8 | 10 | 16 | 12 | 4 |
Write the formula to calculate mode of the continuous series.
Find the mode from the given data.
Calculate upper quartile from the given data.
Find the average height of the students of the above modal class.
Among 27 girls and 23 boys of class ten, two students are selected randomly without repetition.
Two events and are not mutually exclusive events, then write the formula of .
Show the probability of all possible outcomes obtained from the above information in a tree diagram.
Find the probability of selecting the same gender student.
By how much is the probability of selecting both girls less than the total probability? Find it.
Paper Overview & Analysis
2082 LP
Year
Old Question
Type
75
Full Marks
32
Pass Marks
3 Hours
Duration
49
Question Items
Question Type Breakdown