Sub. code 1031
NEB — GRADE X
CDC
Model Question
Compulsory Mathematics Question Paper CDC (Model 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 model question question paper is for Class 10 Compulsory Mathematics, CDC (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 Grade 10 students at Shree Sharada Secondary School regarding the ideal destination for an educational excursion—Pokhara, Lumbini, or Ilam—it was observed that 40 students favored Pokhara, 30 preferred Lumbini, and 45 chose Ilam. Additionally, 15 students considered all three destinations suitable, while 5 students offered no response.
If , , and represent the sets of students who prefer Pokhara, Lumbini, and Ilam respectively, state the cardinality notation for the set of students who found all three locations suitable.
Represent the provided information in a Venn diagram.
Determine the total count of Grade 10 students enrolled at Sharada Secondary School.
Had the 5 students who withheld their opinion chosen Lumbini as a suitable option, what would be the ratio between students who selected only Pokhara and those who selected only Lumbini?
Bipin wants to deposit Rs. 1,00,000 in a bank for 2 years. The bank offers 10% per annum compound interest with three alternates (annual compound interest, half-yearly compound interest and quarterly compound interest)
Which option among the three alternatives helps Bipin get more interest? Write it.
How much amount does he receive after 2 years from compound interest compounded semi-annually?
At the end of 1 year, if Bipin withdraws the total amount received according to the semi-annual compound interest and deposits it for the rest of the period to get quarterly compound interest, how much amount will he get at the end?
Sajan has Rs. 1,00,000,00. Sajan purchased a car for Rs. 30,00,000 and land for Rs. 70,00,000. For 2 years, the price of the car has been decreasing at a compound rate of 5% per annum, while the price of land has been increasing at a certain compound rate.
Write the formula to find compound depreciation.
What will be the price of car after 2 years? Find it.
After 2 years, if the total price of land and car is Rs. 1,05,72,700, then what is the rate of compound growth in the price of land? Calculate it.
Pravin went to the bank to exchange US dollars in order to go abroad. According to the currency exchange rate on that day, the buying rate of 1 US dollar was Rs. 131.05 and the selling rate was Rs. 131.65.
How many dollars will he get in exchange of NRs. 1,57,980?
How many Nepali rupees will he get back from the exchanged dollars on the same day in case he cannot go abroad due to family issue?
How much profit or loss will he get from this transaction? Write with reason.
The height of the square-based pyramid is 12 cm and the length of base is 10 cm.
How many triangular faces are there in square base pyramid?
Find the volume of the pyramid.
Find the cost of coloring in the triangular parts of the pyramid when the cost of per square cm is Rs. 1.50.
A metallic solid consists of a cone and a hemisphere. The height of the cone is 10 cm and the diameter of the base is 6 cm. [].
How do you find the slanted height of the cone when vertical height and radius of the base are given? Write it.
Find the volume of the solid.
If the solid object was melted and turned into a cylindrical object of radius 3 cm, what would be the height of the cylinder? Calculate it.
The inner length, breadth and height of a rectangular tank made for drinking water by two families are 3 m, 1.5 m and 1.6 m respectively.
What is the total cost of coloring the inner four walls of the tank at the rate of Rs. 100 per 3 square meters? Calculate it.
If 2 families pay equal amounts for consuming water from a full tank, how much will one family have to pay at the rate of Rs. 50 per liter?
Anju deposits money to her daughter's piggy bank (Khutruke) as double of previous day. The table shows the amount of money she has deposited in first five days.
First day | Second day | Third day | Fourth day | Fifth day |
Rs. 5 | Rs. 10 | Rs. 20 | Rs. 40 | Rs. 80 |
Is the sequence made by the amount Anju deposited in her daughter's piggy bank (Khutruke) arithmetic or geometric?
If the money is deposited in the same fashion, how much money will be deposited by the 10th day?
Based on the above sequence, is 2 days enough after 10 days of deposit to collect a total of Rs. 20,000? Write it with reason.
The length of a rectangular field is twice the width and its area is 72 square meter.
Write the standard form of the quadratic equation.
Find the length and breadth of that rectangular field.
How many pieces of land can be made with dimension (6×3) square metre in that rectangular field? Calculate it.
Solve:
Simplify:
In the adjoining figure, triangle LMZ, parallelograms XYZM and NLZM are standing on the same base MZ and between the same parallel lines MZ and XL.
Write the relationship between the parallelogram XYZM and the parallelogram NLZM.
Prove that the area of is half of the area of parallelogram NLZM.
In the adjoining figure, and . If is the midpoint of the , then prove that area of is equal to the area of .
O is the center of a circle. Central angle , inscribed angles and are standing on the same arc LP.
Write the relationship between the inscribed angles and .
The measure of central angle is and the measure of inscribed angle is . Find the value of x.
Experimentally verify the relationship between the inscribed angles and . (At least two circles with radii 3 cm are necessary.)
Construct a having sides , and . Construct another whose area is equal to the area of the given triangle.
In the given figure, and , what is the relationship between the and ? Write with reason.
