Daily Revised(Maths) (IX) CBSC

13/5/22

FACTORISATION

5) x³ - 2x² - x + 2

6) x³ - 3x² - 9x -5

7) x³ + 13x² - 32x + 20.

8) 2x³ + x² - 2x - 1

9) x² - 5x + 6

10) x³ - 23x² + 142x + 120

11) 9x² + 6xy + y²

12) 4x² - 4x + 1

13) x² - y²/100

14) 8a³ + b³ + 12a²b + 6ab²

15) 8a³ - b³ - 12a²b + 6ab².

16) 27 - 125a³ - 135a + 225a²

17) 64a³ - 27b³ - 144a²b + 108ab².

18) 27p³ - 1/216 - 9p²/2 + p/4

19) 27y³ + 125z²

20) 64m³ - 34n³

21) x² + 1/x² - 2x - 2/x +2

22) a(a- 1)- b(b- 1)

23) 8x³ - 27y³ + 36x²y +54xy².

24) 8x³ + y³ + 27z³- 18xyz

25) (2x+ 3y)³ - (2x - 3y)³.

26) a³ - b³ + 1 + 3ab

27) (p -q)³ + (q - r)³ + (r - p)³

28) 9x³ - 9y³ + 6x + 1

29) x² - 5x/12 + 1/24

30) x⁶ - y⁶

31) 1 + x³

32) x¹² - y¹²

33) 54a³ - 250b³

34) 8x³ + 27y³ + 36x²y +54xy².

9/5/22

Number system

1) Find six rational numbers between 3 and 4.

2) Find five rational numbers between 3/5 and 4/5.

3) Find nine rational numbers between 0.1 and 0.2.

4) Express in the form of P/Q, where P and Q are Integers and Q≠ 0. 

a) 0.477777......

b) 0.001001001001........

13) Express 0.12333333... in the form of p/q

14) simplify: 2√6/(√2+ √3) + 6√2/(√6 + √3).

15) If x= 3 + 2√2, find the value of x² + 1/x²

) If x - 1/2x = 3, find the value of a) x²+ 1/4x² b) x⁴ + 1/16x⁴. 10,199/2

22/4/22

1) Simplify: 1/(√6-√5) - 1/(√7- 2√10) - 4/(√6+√2).

2) Factorise: (ax -by)²+(bx -ay)². 

3) show that 2x+7 is a polynomial factor of 2x³ + 7x²- 4x -14.

4) If x-a is a factor of x³ - ax²+ x+2. Then find the value of a. 

3) Express 3.146 as a vulgar fraction. 3143/999

5

6/7/21

1) Represent on real line: √8

2) Insert three rational numbers between 3 and 4.

5) Solve the equation graphically: 3x-y=7; 2y + x= 0