1. Answer the following questions based on the given collected numbers:
2,3,5,7,11,13,17,19
a.State whether the give collection of numbers is well defined of not? Write with reason. [1HA]

b. Write the presented collection of numbers iin set notation.[1K]
c.Write the set in set builder method.[1A].

2. a. The smallest number which is exactly divisible by the given numbers is called …….. [1K]

b. The drill teacher tried to arrange grade six students in equal rows and columns with 9/9 students, but the number of students exceeded by 3. Now find out the total number of students in the class.[2A]

c. Anu paid a sum of Rs. 500 to a shopkeeper for buying five exercise books at the rate of Rs. 40 and two pens at the rate of Rs.25. How much will she receive in return? [2HA]

3.Suman is inrolled in a private company as an accountant.
a. If she invests 2/5 of her  income in food and  1/3 part of income in children’s education, find out on which heading more money is invested?

b. If her monthly income is Rs. 20,000, find the total money spent onher children’s education?
c. Write the monthly expenditure done no children’s education in two  places of decimal.

4.Sushminta has bought 10 pens for her children from stationery costing Rs. 1200.
a. What was the cost of one pen? [1K] 

b. If a shopkeeper made a profit of Rs. 100 by selling 10 pens, how much had the shopkeeper paid for buying one pen?[1U]
c. If Susmita gave 6 pens out of 10 pens to her daughter. What would be the percentage allocated to her son and daughter?[2A]
d. 50% of the total pen had been given to a daughter,how many more pen would she get? [1HA]                       
5. Ramila has a square land, and Shyam has rectangular land, but the area of both lands equal.
a.Which formula to be used for finding area of Ramila’s land? [1K] b. Which formula of Ramila’s land is 50 m, then what is the area of her land?[1U]
c. The length of Shyam’s land is four times of its breadth then find the length of Shyam’s land? [2A]
d. Who needs to spend more on fencing if both of them have to fence a wire for a round the land once. [1HA]                                                   
6. The enrolled students from classes 6 to 10 in Janta Secondary School in the acedemic year 2078 is given below:

Classes	6	7	8	9	10
No. of students	80	60	100	90	70

a. Draw a bar diagram on a graph paper based on the table.[2A]b. What is the total number of students enrolled in the academic year 2078 in Janta Secondary School from classes 6 to 10.[1U]           7. a. State whether the given mathematical statement is true or false: 4x²y and 7x²yz are like terms. [1K]
b. Fill in the blanks:The value of x is less than 5 is to represent as ……. [1K]
c. The first box contains 6 packets of chocolates, the second box contains 8 packets of chocolates.If each packet contains x number of chocolate,find the total number of chocolate in both boxes. [2U]
8.a. A rectangular handkerchief has an area of 12x²y² square cm and breadth is 3xy cm then what is the length? find it.[2A]
b. If x=2 and y=3,what is the length and area of the handkerchief, find it. [2A]                                       
9. Bikash has Rs. 8 less than Bidur. If both of them have altogether Rs. 32 . How many rupees each of them has? Find it. [2HA]                       10.a. The vertices of a cube and cuboid is supposed tobe V, side E and surface is F, then write the relation between them.
b. Fill in the blanks:The line joining the two points on the circumference of the circle is called …….   
c. Bu using ruler,draw a line segment XY=9 cm.By using compass construct PXY=90⁰ at x.[3A]
d. What type of triangle is formed by joining the points P, X and Y . Give reason.[1HA]                     
11.a. In the given figure, write the relation between AB and CD as well as AB and AE.[2U]