CBSE Class 9 Mathematics Sample Paper Set 22

SECTION –A

Q1. Find two rational numbers between 3 and 4. 

Q2. Write 3/13 in decimal form. 

Q3. Find the remainder when x³+3x²+3x+1 is divided by x+1. 

Q4. Find the product by using suitable identity:- (x+4) (x-10) 

Q5. If ΔABC=ΔPQR, <B=55° and <C= 95°, find < P 

Q6. Check whether x=-1 and x=2 are the Zeros of the polynomial p(x) = (x+1) (x-2) 

Q7. The abscissa of a point on the y-axis is …………………. 

Q8. Find: (125) ⅓ 

Q9. In ΔABC, AB=BC=5cm and angle A=55°, find angle B 

Q10. Write a linear equation in two variables for the statement:- Cost of a notebook is twice the cost of a pen. 

SECTION-B 

Q11. Draw the graph of following linear equation in two variables.  

                  y = 2x+4 

Q12. Find the value of k, if x-1 is a factor of 

                 2x²+kx+√2 

Q13. Show that1.27 can be expressed in the form p/q, where p and q are integers and q ≠ 0. 

Q14. Show that the sum of the Angles of a triangle is 180°. 

Q15. Rationalize the denominator of : 

          _ 1____ 

           √7- √6

SECTION-C 

Q16. If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD, Show that ar (EFGH) = ½ ar(ABCD)

Q17. Represent √3 on number line

Q18. Factorise: 3√3x³+2√2y³

Q19. Expand :- (-2x+3y+2z) ² by using a suitable identity.

Q20. Plot the points (4, 0), (2, 5) and (4,-3) in the Cartesian plane by using a graph paper.

Q21. Factorise:- 8x³+27y³-z³+18xyz