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 1**

**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 3x^{3} – x^{4} + 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 cm^{2}

b) 15 cm^{2}

c) 6 cm^{2}

d) 9 cm^{2}

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 2x^{4} + x^{3} + 4 x^{2} – 3x -2 is divided by x-3. (without applying long division).

7. Find the value of k if (x-1) is a factor of 4x^{3} + 3x^{2} -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) (2x^{3} + 3y)(2x^{3} + 5y)

(b) (y^{2} + 3/2)(y^{2} – 3/2)

14. If x + 1/x = 4 , find x^{4} + 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 35^{3} – 20^{3} – 15^{3}.

24. Factorise

(x-2y)^{3} + (2y-3z)^{3} + (3z-x)^{3}

25. If x + 1/x = 2 , find x^{3} + 1/x^{3} .

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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