Sub. code 1031
NEB — GRADE X
2082 MP
Old Question
Compulsory Mathematics Question Paper 2082 MP (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 MP (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 conducted among 500 young people, 320 expressed a preference for iPhone and 225 preferred Android phones. Each youth liked at least one of the two devices.
If and represent the sets of youths who like iPhone and Android phones respectively, state the cardinality notation for the set of youths who prefer iPhone.
Display the provided data using a Venn diagram, letting represent the number of youths who like both types of phones.
Determine how many youths liked only one type of phone.
Calculate the percentage difference indicating how much more or less the count of youths who liked Android phones only is compared to those who liked iPhone only.
Pemba borrowed Rs. 70,000 from Sakuntala for 2 years at the rate of 6% p.a. simple interest. He invested the same principal for the same time at the same rate of compound interest compound annually.
If the principal 'P', Time 'T' years and rate of interest 'R%' per year, write the formula to find annual compound interest.
Find the compound interest received by Pemba in 2 years.
Compare the simple interest and compound interest of 2 years.
The initial price of an electric scooter is Rs. 1,60,000. The price of it depreciates by 20% per annum.
Define compound depreciation.
Find the selling price of the electric scooter after 2 years.
How much the total amount of price of scooter is depreciated in two years? Find it.
According to money exchange rate, the buying rate and selling rate of 1 American dollar was NRs. 132.57 and NRs. 133.17, respectively on a day.
How much Nepali rupees is needed to exchange 500 American dollars? Find it.
If the Nepalese currency is devaluated by 0.5%, what will be the new buying rate? Find it.
How much less or more Nepalese rupees is required to exchange 500 American dollars after devaluation than before? Find it.
The length of the base side and slant height of a square-based pyramid are 48 cm and 25 cm, respectively.
How many surfaces are there in square-based pyramid? Write it.
Find the volume of the pyramid.
Find the area of a triangular surface of the pyramid.
A water tank is made of cylinder and cone having same radii, in which the base area of cylinder is 1.54 square meter. The heights of cone and cylinder are 2.4 meter and 3.2 meter, respectively.
Write the relation among , and of a cone.
How many maximum litres of water can be stored in the tank? Find it.
Compare between the curved surface area of cone and base area.
In the adjoining figure, ABCD is a land in trapezium form in which BC = 70 feet, AD = 40 feet and AF = 20 feet.
How many turfs of 4 square feet are required to lay down in the land? Find it.
Is Rs. 40,000 sufficient to lay the turf in the land at the rate of Rs. 150 per turf? Calculate it.
A teacher made a video of a lesson which he/she taught and uploaded on a social media. Daily viewers of this video are increased by the same ratio as per the table given below.
Days | 1 | 2 | 3 | 4 | 5 | ...... |
New Students | 100 | 200 | 400 | 800 | 1600 | ...... |
In which sequence, new students are being increased every day? Write it.
How many total new students will view the video till day? Find it.
The ratio of students who viewed the video up to the day and up to other any day is , which day is that day? Find it.
In a natural number of two digits, the product of digits is 24. When 45 is added to the number, the places of the digits of the number are interchanged.
Write the standard form of a quadratic equation.
Make a quadratic equation from the given verbal problem.
Find the natural number.
Simplify:
Solve:
In the given figure, , and are given.
Write the ratio of the areas of triangle QRS and parallelogram PRSY.
Prove that the areas of parallelogram PRSY and parallelogram XRSQ are equal.
Construct a triangle in which sides , and . Also construct parallelogram whose one side and equal in area to the given triangle.
In the adjoining figure, is the centre of circle and and are cyclic quadrilaterals.
Write the relation between and .
If and , find the value of .
Verify experimentally that the inscribed angle is half of the central angle standing on the same arc by making two circles having at least 3 cm radii.
In the given figure, PQRS is a parallelogram and T is the midpoint of QU.
Prove that the area of and area of parallelogram PQRS are equal.
Prove that:
A boy of height 1.2 m found the angle of elevation at the top of a tower of the height 53.2 m.
Define angle of elevation.
Draw a figure according to the given context.
Find the distance between boy and tower.
If the angle of elevation is , what would be the difference between the previous distance and current distance of the boy and tower? Compare it.
In the table given below, the ages (in year) of the 30 players are mentioned.
Age (in year) | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
No. of players | 6 | 4 | 5 | 4 | 11 |
What does 'L' represent in the formula finding of a continuous data?
Find the median.
Find the average age of the players.
If two players whose ages (50-60) years are added to the above data, what will be the new average age? Find it.
A box contains 6 red and 5 white marbles of same shape and size. Two marbles are drawn randomly one after another without replacement from the box.
If A and B are two independent events, then write the formula of the multiplication law of probability.
Show the probability of all possible outcomes in a tree diagram.
Find the probability of getting both marbles of same colour.
Compare between the probability of getting both marbles of same colour and different colour.
Paper Overview & Analysis
2082 MP
Year
Old Question
Type
75
Full Marks
32
Pass Marks
3 Hours
Duration
49
Question Items
Question Type Breakdown