Mathematics question grade 6

First 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 A={2,3,4,6}

2.    a.     Write the numerical coefficient and literalcoefficent of 2ax.

       b.    Find the square of 24?

3.    a.     The area of a square is the square of it's length (l). What is the area of the square?

       b.    Find the product of 2a²bx(-3ab²)

4.    a.     How many arabs are there in 20 billion.

       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 v={a,e,i}

       b.    Express the set C={1,2,5,10} in set-builder method.

6.    a.     Write the numeral in short form and write the number name 8´10⁷+6´10⁴+5´10³+4´10¹

       b.    Simplify:   35-{30-11+5)¸3}

7.    a.     Find the H.C.F. of 60 and 75 by factorization method.

       b.    Find the L.C.M. f 40 and 60 by division method.

8.    a.     Find the smallest number by which when 75 is multiplied it becomes a perfect square.

       b.    Find the square root of 2025.

9.    a.     What should be added to  4x-5 t get 7x+2?

       b.    Add:   x²+y² and 3x²+4y²

10.  Simplify:

       a.     7a-3b-(2b+3a)                      b. –xy´3x-(-xy)´2y

11.  Multiply   

       a.     -2xy(3x²-5xy-4y²)     b. (3x+4y)(3x-4y)

12.  a.     If a⁰ and 60⁰ make an angle of quarter turn, find the size of a⁰.

       b.    If 2x⁰ and 3x⁰ are co-interior angles, find them.

13.  Find the size of unknown angles.

       a.                                                 b.

Group 'C' (4´14=56)

14.  If P={1,2,3,5,7} and Q={2,3,4,5,8,9}, Find PÈQ and PÇQ. Show them in diagram separately.

15.  If x is at hundreds place y is at tens place and z is at ones place, write the number formed by these digits.

16.  Simplify: 72¸12[180¸4{10+(15-45¸9´2)}]

17.  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?

18.  Three bells rings at the intervals of 10, 15 and 20 minutes respectively. If they all ring at 10:00 am at once. At what time will they ring together again?

19.  If the product of three identical numbers is 5832, find one of the numbers.

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 p=4x, q=3x and x=3, find the value of .

22.  If the length and breadth of rectangle are 6cm and 4cm respectively, find it's perimeter and area.

23.  If a=x+y and b=2x-3y show that 3a+2b=7x-3y.

24.  If a=(2x-5) and b=(2x+5) show that =x².

25.  Construct the 105⁰ angle by using compasses.

26.  Find the sizes of unknown angles.

 

27.  Copy the diagram and calculate the sizes of x⁰,y⁰, z⁰. What is the sum of the angles of the triangle?