Paper = MATH, Class = 7Th, December TEST

 MATH 7^TH,                                         December TEST                                MARKS = 50

Short Questions (Attempt Any 10 Q.S), Marks = 20

    i.        Subtract (p⁴ - 2p³ - 3p² - 4p – 5) From (- p⁴ + 5p³ + 4p² + 3p +2)

   ii.        Add (- 3a² - 5ab + 2b² ) and ( 7a² + 2ab – b² )

  iii.         Simplify ( x² )⁴ ÷ ( x³) ²

  iv.        Simplify: ( a² – ab + b² ) (a + b)

   v.        Simplify ( 4a³ – 10a² + 6a  ) ÷ ( 2a)

  vi.        Expand by formula (abc - 2)²

vii.         Factorize 5x² – 7xy + 25x – 35y

viii.        Simplify by using formula:  9p² + 12pq + 4q²

  ix.        Find the square of 2p² + 3q²

   x.        Solve 2 (x +1) – x = 3 (x + 1)

  xi.        Solve 3 (6 -2x ) + 4 ( 5x - 1) = 0

Long Questions (Attempt Any 5 Q.S), Marks = 30

2)      Evaluate by using formula 4m⁴+12mn+9n⁴,when m = 1/2 and n = 1/3

3)     IF 2ab + 5cd =5 and abcd =1, What is the value of 4a²b² +25c²d² ?

5)       Evaluate by formula 36 (l+m)² - 48n (l+m)+16n²,when l =1/2 , m =1/3 and n = 1/4

6)     Simplify: z² (x² -y² ) + x² ( y² – z² ) + y² (z² – x² )

7)    The sum of three consecutive numbers x, x+1, x+2 is 315 find numbers.