Maths question

Mid Term Examination-2071

Grade: VI                                                                          F.M. : 100

Sub: C. Maths                       Time: 3hrs                            P.M. : 40

 

Group 'A' (8´1=8)

1.    a.     Write the set operation of set represented by the shaded diagram.

 

       b.    Write the cardinal number of the set P={X: X is a prime number, X<10}

2.    a.     Find the cube of 18

       b.    How many meters are there in 85.5 cm?

3.    a.     Round off to 3 decimal place (d.p) of 8.10975.

       b.    Find the product of 3pqr and p²q²r.

4.    a.     If a⁰ and 60⁰ make a angle of half turn. Find the size of P⁰.

       b.    In the adjoining figure PQ½½RS. Find the value of x.

 

Group 'B' (2´18=36)

5.    a.     Write all possible subset of the set A={x,y,z}

       b.    If a is at tens place and b is at ones place. Write the number formed by these digits.

6.    a.     Find the L.C.M. of 36, 48 and 60.

       b.    Find the cube root of 5832.

7.    a.     Simplify:  .

       b.    Find the ratio between 45cm and 1m.

8.    a.     If the cost of 1 dozen of exercise books is Rs. 186.60. Find the cost of 1 exercise book.

       b.    Find the product and write the answer to 3 decimal places of 1.053×2.4

9.    a.     If 5,4,15 and x are in proportion, find the value of x.

       b.    Subtract:  3ab-2bc+5 from 8ab-2bc-3

10.  a.     Multiply:  (x-2) (x²=2x+3)     b. Simplity5p²-2q²+2p²-3q²+p²q²

11.  a.     If x=a+3 and y=2a, show that xy= 2a²+6a.

       b.    Divide: (12x³+18×2)÷6×2

12.  a.     If x⁰ and (x+10⁰) are adjoin angle in linear pair, find them.

       b.    Construct 45⁰ angle by using compasses.

13.  Find the size of unknown angles.

       a.                                                 b.

Group 'C' (4´14=66)

14.  If A={,2,3,5,7} and B={3,6,9}, Find AÈB and AÇB. Illustrate them in venn-diagrams.

15.  Find the greatest number of students to whom 36 apples and 54 mangoes can be equally divided. How many apples and mangoes will each get?

16.  Mr. Shrestha earns Rs 12000 in a month. He spends  parts of his earning to run his family.

       i. How much money does he spend to run his family?

       ii. How much money does he save in a month?

17.  Simplify:

      

18.  The ratio of the age of a father and his son is 4:1. If the present age of the father is 36 years. Find the present age of the son.

19.  Simplify:

20.  If y=3x+1 and x is a variable on the set B={1,3,5}, find the possible values of y.

21.  If a=(3x-4) and b=(3x+4), show that

22.  Find the quotient. (a²-13a+42)÷(a-6)

23.  Copy the diagram and calculate the size of a⁰, b⁰ andc⁰. What is the sum of the angles of the triangle?

 

24.  Find the size of unknown angles of the following figures.

       a.                                                 b.

25.  Construct an equilateral triangle whose each side is 5.5cm.

26.  The number of students in the primary level of a school are given below. Draw a bar graph to represent the data.

Classes	1	2	3	4	5
No. of students	35	30	40	25	20