Central Board of Secondary Education Question Paper for Maths subject are given below.
Examination: Summative Assessment I (SA1)
Class: IX
Subject: Maths
CBSE 2016 – 2017 Class 09 SA1 Question Paper – Maths


Paper 2

Paper 3

CBSE 2015 – 2016 Class 09 SA1 Question Paper – Maths

Paper 2

CBSE 2014 – 2015 Class 09 SA1 Question Paper – Maths
Section A1. Which of the following is irrational:
a) 0.14
b) 0.1416
c) 0.1416
d) 0.4014001400014…..
2. The degree of the polynomial 3x3 – x4 + 5x + 3 is:
a) 1
b) 3
c) 4
d) -4
3. Euclid’s fifth postulate is.
a) The whole is greater than the part.
b) A circle may be described with any centre any radius.
c) All right angles are equal to one another.
d) None of these.
4. The sides of a triangle are 3 cm, 4 cm and 5 cm. Its area is:
a) 12 cm2
b) 15 cm2
c) 6 cm2
d) 9 cm2
Section B
5. Express the rational number 0.45 in the form p/q , where p and q are natural number.
6. Find the remainder, when the polynomial 2x4 + x3 + 4 x2 – 3x -2 is divided by x-3. (without applying long division).
7. Find the value of k if (x-1) is a factor of 4x3 + 3x2 -4x +k.
8. If a point C lies between two points A and B such that AC=BC, then prove that AC = 1/2 AB.
9. Show that in a right angled triangle, the hypotenuse is the longest side.
10. In which quadrant or on which axis each of the points (-2,4), (3,-1), (-1,0), (1,2) lie?
Section C
11. Express √5.41 geometrically on a number line.
12. Simplify
(∛343-2 ) / (∜81 )
13. Use identities to find
(a) (2x3 + 3y)(2x3 + 5y)
(b) (y2 + 3/2)(y2 – 3/2)
14. If x + 1/x = 4 , find x4 + 1/4.
15.
∠BAC = 35°
∠CDE = 25°
If AB || DE, then find y.
16. If BO and CO are bisectors of ∠ABC and ∠ACB, then find ∠BOC if ∠BAC=50° .
17.
∠ABC=45°
∠BAD=35°
∠DCB=50°
Find x
18. Sides AB and AC of △ABC are extended to P and Q respectively. Show that AC > AB is ∠PBC < ∠QCB.
19. △ABC is an isosceles triangle in which AB+AC. Side BA is produced to D such that AD=AB. Show that ∠BCD=90°.
20. Find the area of the given quadrilateral.
AB = 8 cm
BC = 15 cm
DC = 9 cm
AD = 16 cm
∠B = 90°.
Section D
21. Simplify
[(√5 – 2) / (√5 + 2)] – [(√5 + 2) / (√5 – 2)]
22. Locate √11 on a number line.
23. Use suitable identity to solve 353 – 203 – 153.
24. Factorise
(x-2y)3 + (2y-3z)3 + (3z-x)3
25. If x + 1/x = 2 , find x3 + 1/x3 .
26. If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.
27. ABCD is a quadrilateral in which AD=BC and ∠DAB = ∠CBA. Prove that △ABD ≅ △BAC.
28. Prove angle DBC=90°, if DM=CM and M is the midpoint of AB.
∠C = 90°.
29. AB and CD are the smallest and the longest sides of a quadrilateral ABCD. Prove ∠A > ∠C.
30. Plot on a graph
(2,0) , (3,5) , (4,7) , (5,-9).
31. The perimeter of a triangle is 120m. The sides are in the ratio 5:12:13. Find the length of the altitude to the longest side of the triangle.
CBSE 2013 – 2014 Class 09 SA1 Question Paper – Maths






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