Sub. code 1031
NEB — GRADE X
2082 KaP
Old Question
Compulsory Mathematics Question Paper 2082 KaP (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 KaP (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.
According to a survey of 205 students who are studying in class ten of a school, the number of participated students in Nepali language handwriting competition is 140 and the number of participated students in English language handwriting competition is 100. The number of students who participated in other language except these two language handwriting is 15.
In the above context, 'N' and 'E' denote the sets of students participated in Nepali language and English language handwriting competition, respectively. Write the cardinality notation of the set of students who participated in other language except these two languages.
Present the given information in a Venn diagram.
Find the number of students participating in exactly one language handwriting competition.
Compare between the number of students participated in at least one and at most one language handwriting competition.
Ram borrowed a sum of Rs. 50,000 from Shyam at the rate of per annum compound interest compounded annually for two years and immediately he lent the sum to Ghanshyam at the same rate of interest for the same period of time compounded semi-annually.
Write the formula to find the annual compound interest
How much total compound interest should be paid by Ram? Find it.
How much was gained or lost to Ram in this transaction? Find it
In the beginning of 2075 B.S., the population of a city was 4,00,000. The population of the same city was 5,32,400 in the starting of 2078 B.S.
What was the annual population growth rate of the city? Find it.
If the population is increased by the same rate, in which year, the population of the city was 6,44,204? Find using formula
In a certain day, the buying and selling rate of one pound sterling are NRs. 196.32 and NRs. 197.12, respectively. After certain time, Nepali currency was devalued by 2%.
What is the exchange rate of currency? Write it.
How many pound sterling can be exchanged with NRs. 49,280? Find it.
How much Nepalese rupees can be exchanged with 500 pound sterling after devaluation? Find it.
Compare the buying rate and selling rate after devaluation.
The perimeter of a square-based pyramid is 24 meter and its height is 4 meter.
Write the formula to find the volume of square-based pyramid.
What is the volume of that pyramid? Find it.
Find the total surface area of that pyramid.
A water tank with circular base is built to distribute drinking water for 40 households in a rural municipality is given in the figure. Which is made with the combination of cylinder and hemisphere. The height of the cylinder is 4.2 meter and diameter of the base is 7 meter.
Write the formula to find the base area of that tank.
How much litres of water is required to fill the whole tank? Find it.
If equal amount of water is being distributed to all the households everyday then one-fourth water is consumed of full tank. How much amount should a family pay for consuming water in a month at the rate of 4 paisa per liter? Find it.
The volume and height of a square-based room are 243 cubic meters and 3 meters, respectively. The area occupied by a door and two windows in the room is 12 sq. meters.
What is the total cost of plastering the four walls at the rate of Rs. 250 per square meter? Find it.
If the rate of plastering per square meter is increased by one-fourth, then what will be the increment in the total cost of plastering the walls? Find it.
The number of shoes sold by a shop in the first three days are given below in the table. The shop is selling double number of shoes each day compared to the previous day.
Days | 1st | 2nd | 3rd |
|---|---|---|---|
Pair of Shoes | 4 | 8 | 16 |
The number of geometric means between the first term (a) and the last term (b) is (n), write the formula to find the common ratio (r).
How many pairs of shoes will be sold up to 8 days as given in the above table? Calculate it by using formula
In how many days, the shop sells 4092 pairs of shoes? Find it.
he sum of the present ages of two sisters is 40 and the product is 391 numerically.
f the present age of elder sister is x years, then express the age of younger sister in terms of x.
Find the present ages of both sisters.
After how many years, if the square of that number of years is added to the present age, will the new ratio become 13:11? Find it.
Simplify:
Solve:
Triangle QRT and Parallelogram PQRS are formed on the same base QR and between the same parallel lines QR and PT.
Write the relationship between the area of parallelogram PQRS and the area of triangle QRT.
In the triangle QRT, the length of a side QT is 16 cm and the length of perpendicular drawn from the vertex R to the side QT is 6 cm. Find the area of parallelogram PQRS.
What would be the relation between the area of triangle QTU and parallelogram PQRS if the base of the triangle QTU was double of the base of the parallelogram PQRS? Where the points Q, R and U lie on the same straight line. Write with logic.
In the given figure, O is the centre of the circle and .
What is the value of ? Write it.
Find the value of .
Verify experimentally the relation of and . (Two circles of different measurement having radii at least 3 cm are necessary.)
Construct a triangle PQR in which PQ = 5.5 cm, QR = 7 cm and . Also construct a parallelogram having one side 6.5 cm and whose area is equal to the area of the triangle.
In the figure, O is the centre of a circle and AB is a diameter. The chords AC and BD are intersected at a point E. Prove that:
The radius of a circular pond is 21 meter. A pole is fixed at the center of the pond. A man 1.4 meter tall observed the top of the pole from the edge of the pond and found the angle of elevation to be .
Define the angle of elevation.
Sketch the figure from the above context.
What was the height of the pole above the water level? Find it.
By how much should the height of the pole above the water surface be reduced so that the angle of elevation becomes ? Give the logic with calculation
In an examination, the marks obtained by the students in Mathematics subject are given below in the table.
Marks Obtained | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
|---|---|---|---|---|---|
No. of Students | 2 | 3 | 4 | p | 6 |
If the median of the given data is 34, then write the median class.
Find the value of p.
Calculate the mean of the given data.
Among all the participants in the exam, what percentage of students obtained marks below the median class? Find it.
A box contains 3 red and 4 black balls of the same shape and size. Two balls are drawn one after another without replacement.
What types of events are mentioned above? Write it.
Show the above experiment in a tree diagram.
Find the probability of getting first ball red and second ball black.
If two red balls are added in the box and two balls are drawn randomly one after another from the box without replacement, then what is the probability of getting both balls of red colour? Find it.
Paper Overview & Analysis
2082 KaP
Year
Old Question
Type
75
Full Marks
32
Pass Marks
3 Hours
Duration
49
Question Items
Question Type Breakdown