Sub. code 1031
NEB — GRADE X
2082 GP
Old Question
Compulsory Mathematics Question Paper 2082 GP (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 GP (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.
A survey conducted among 200 grade 10 students examined their preferences regarding Mathematics and English.
Students who enjoy Mathematics: 120
Students who enjoy English: 110
Students who do not like either subject: 30
Represent the count of students who dislike both subjects in cardinal notation, using 'M' for Mathematics and 'E' for English.
Display the provided information using a Venn diagram.
Determine how many students enjoy only one of the two subjects.
Ram states, "The count of students who prefer both subjects is twice as large as the count of students who dislike both." Do you concur with Ram's assertion? Provide a explanation.
An individual borrowed Rs. 1,50,000 for a duration of two years at an annual compound interest rate of 10% compounded yearly from a family relation to finance a business project. To settle part of the interest and reduce the principal, he made a payment of Rs. 85,000 after the first year.
State the formula used to calculate annual compound interest.
Calculate how much of the original loan principal was paid back at the end of the first year.
Find the total sum of money paid overall to completely settle the debt within the scheduled timeframe.
A bus owner bought a luxury bus for Rs. 20,00,000 and used it in the Kathmandu - Pokhara route for 3 years. He earned Rs. 7,43,124 only in 3 years. The price of the bus is depreciated at the rate of 8% per year.
Define the compound depreciation.
What will be the selling price of the bus after 3 years? Find it.
How much profit or loss percent will the bus owner make in the total transaction? Find it.
A student exchanged some American dollars for Nepali rupees 13,00,000 to go to America for his/her higher study. On that day, the selling rate and buying rate of 1 American dollar ($) were NRs. 143.75 and NRs. 143.15, respectively.
How many American dollars was exchanged with NRs. 13,00,000 by the student? Find it.
Due to health problem of the student, the student could not go to America and after a few days, he/she exchanged American dollars into Nepali rupees. On that day, Nepalese currency was revaluated by 0.5%. How many Nepalese rupees did the student get on that day? Find it.
Write the reason of gain or loss in exchanging the currency for the student.
The length of side of the base of a square-based pyramid is 24 cm and height is 9 cm.
Write the formula for finding the volume of a square-based pyramid.
Find the volume of the given pyramid.
Find the area of triangular surfaces of the pyramid.
The given figure is of a toy made with the combination of a cone and hemisphere. The common radius of the toy is 7 cm and the total height is 31 cm.
Write the relation among the radius of the base of a cone (r), vertical height (h) and slant height ().
Find the curved surface area of the conical part of the toy.
By how much is the volume of conical part less or more than the volume of hemispherical part? Compare with calculation.
The parking area outside a building is in geometric shape as shown in the given figure.
Find the area of the parking area.
Find the total cost of leveling the parking area at the rate of Rs. 2,500 per 100 sq. ft.
The monthly salary of an employee is Rs. 45,000 at present. He receives a grade of Rs. 1,500 on his monthly salary every year.
Write the name of the sequence formed from the above context.
What will be his total income in 4 years when the number of grades increases yearly at the same rate? Calculate it.
In how many years, will his total income be Rs. 35,10,000 when the number of grades increases yearly by the same rate? Find it.
The sum of the present ages of two brothers is 28 years and the product of their ages is 187 numerically.
In the quadratic equation , write the formula to find the value of .
Find their present ages.
After how many years will the product of their ages be 247? Find it.
Simplify:
Solve :
In the given figure, , and .
Write the relation between parallelogram NEWS and triangle NWS.
Prove that the areas of parallelograms NAME and NEWS are equal.
If 'S' is the midpoint of AM, prove that:
In the given figure, PARM is a cyclic quadrilateral in circle with center O.
Write the relation between and .
Find the value of x from the given figure.
Verify experimentally that in the cyclic quadrilateral PARM, . (Two circles having radii at least 3 cm are necessary.)
In a quadrilateral PQRS, PQ = 5 cm, QR = 5.5 cm, RS = 5.7 cm, PR = 7.1 cm and PS = 6.1 cm are given.
Construct quadrilateral PQRS. Also construct a triangle equal in area to the area of quadrilateral PQRS.
From the above construction, why are the area of quadrilateral PQRS and area of triangle equal? Give reason.
A man 1.3 meter tall is observing at the top of a tower 41.3 meter high and found an angle of elevation of 45°.
Define the angle of elevation.
How high is the tower than the man? Find it.
Find the distance between the tower and the man.
How many meters should the man walk backward from that place to find the angle of elevation of the top of the tower 30°? Find it.
The marks obtained by 30 students are presented in the table below.
Marks obtained | 0-10 | 0-20 | 0-30 | 0-40 | 0-50 |
No. of students | 12 | 17 | 20 | 22 | 30 |
What does '' represent for in the formula to find the median ()? Write it.
Find the median of the given data.
Calculate the average marks from the data.
If the number of students securing (0-30) marks is avoided from the given data, what difference shows in the average marks? Find it.
Two cards are drawn randomly one after another with replacement from a well-shuffled deck of 52 cards.
What are independent events? Write it.
Show the probability of all the possible outcomes of getting and not getting face cards in a tree diagram.
What is the probability of getting both face cards? Find it.
What is the difference between the probabilities of both cards being face cards if two cards are drawn one after another with replacement and without replacement? Find it.
Paper Overview & Analysis
2082 GP
Year
Old Question
Type
75
Full Marks
32
Pass Marks
3 Hours
Duration
49
Question Items
Question Type Breakdown