CBSE MATH STUDY

1.     Numerical coefficient of 8x³yz² is ________        

2.     Monomial is a ________________

^3.         Write like terms from 2x², 2x, 2x³, - 5x, 11x⁴                                          

4.     Write numerical coefficient of . 3x³yza²

5.     Find area of rectangle with sides 3x and 5y        

6.     Factorise 3xy + 9x²y³

7.     Divide 7x²y²z² ÷ 21xyz 

8.     Subtract 5x² – 4y² + 6y – 3 from  7x² – 4xy + 8y² + 5x – 3y.

9.     Add 4y (3y² + 5y – 7) and 2 (y³ – 4y² + 5)           

10.  Simplify (a + b) (2a – 3b + c) – (2a – 3b) c.       

11.  . Simplify (a + b + c)(a + b – c)

12.  find the products. (i) (2a2 + 9) (2a2 + 5)  (ii) (0.4p – 0.5q)²   

13.  Simplify.  (m² – n²m)² + 2m³n²                

14.  Evaluate (i) 998²   (ii) 297 × 303 (iii) (1.02)² – (0.98)²

15.  Find the value of x2+y2 if x+y =12 and xy= 14

16.  Find the value using algebric formula i] 93x94     ii]  7042

17.  Find value of x2+y2       if x+1/x=3

18.  By division show that x-1 is factor of x3-1

19.  Factories:         25-a2-b2-2ab

20.  Subtract: 3a (a + b + c ) – 2 b (a – b + c) from 4c ( – a + b + c )

21.  If ( x + 1 / x ) = 4,  Find the value of      ( x2 + 1 / x2 ) and (x4 + 1 / x4 )

22.  If ( x - 1/ x ) = 3 .Find the value of   (x3 + 1 / x3 )

23.  Find the remainder obtained by dividing  x3 + 3x2 - 5x +4 by x + 1

24.  Evaluate using algebraic identities   (54)2, (78)2 (999)2

25.  . If x - y = 7  ,   xy = 9  Find the value of  x2 + y2

26.  If x + y = 12 , xy = 27  Find the value of x3 + y3

27.  If a2 + b2 + c2  =20 , a + b + c = 6  find  ab + bc + ca

28.  If ( x2 + 1 / x2 ) = 83 .  find  (x3 - 1 / x3 )

29.  What must be subtracted from   4p2-2pq- 6q2 - r +5 to get  - p2 + p q - 8q2 - 2r+5

30.  10..Devide (1)    x3 - 1 by  x - 1   (2) 7 +15x -13x2 +5x3 by 4 - 3x + x2

31.  Evaluate(1) 1.5 3 - 0.93  - 0.63  (2) (a - b )3 ₊ (a + b )3  (3) (x + 2y -3z)2 +(x - 2y +3z)2

32.  . If (x4 + 1 / x4 ) = 47    find the value of   (x3 + 1 / x3 )

33.  13.Find the product of   (1) (x4 + 1 / x4 ) and      ( x + 1 / x )   (2)  (2x2 +3x - 7)(3x2 -5x - 4)

34.  Two adjacent side of a rectangle are 5x2-3y2 and x2 - 2xy Find its perimeter

35.  The perimeter of of a triangle is 6p2 - 4p + 9 and two of its adjacent side are   p2 - 2p + 1 and  3p2 - 5p + 3. Find third side of triangle.