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CLASS - IX

S.NO. SUBJECT NAME PAGE NO.

CBSE TEST PAPERS

1. 2. 3. 4. 5. 6. 7. 8. 9.

Test Paper # 1 (Mathematics) Test Paper # 2 (Mathematics) Test Paper # 2 (Science and Technology) Test Paper # 2 (Science and Technology) Test Paper # (Social Science) Test Paper # 2 (Social Science) Hints & Solutions # 1(Mathematics) Hints & Solutions # 2(Mathematics) Hints & Solutions # 1 (Science and Technology)

1-2 3-5 6-7 8-9 10 - 12 13 - 15 16 - 21 22 - 28 29 - 35 36 - 39 40 - 45 46 – 52

10. Hints & Solutions # 2(Science and Technology) 11. Hints & Solutions # 1 (Social Science) 12. Hints & Solutions # 2 (Social Science)

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GENERAL INSTRUCTIONS FOR CBSE TEST PAPERS 1 & 2

SUBJECT : MATHEMATICS CLASS – IX

Time : 3 Hr.

Max. Marks : 80

GENERAL INSTRUCTION

1. 2.

All questions are compulsory. The questions paper consists of 30 questions divided into the four sections A,B,C and D. Section A contains 10 questions of 1 mark each, section B is of 05 questions of 2 marks each, section C is of 10 questions of 3 marks each and section D is of 05 questions of 6 marks each.

3. 4.

Write the serial number of questions before attempting. In questions of construction, the drawing should be neat and exactly as per the given measurements.

5.

Use of calculator is not permitted. However, you may ask for mathematical tables.

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TEST PAPER # 1 INSTRUCTIONS : Section A : Q 1 to Q . 10 carries 1 mark each. Section B : Q 11 to Q. 15 carries 2 marks each. Section C : Q 16 to Q. 25 carries 3 marks each. Section D : Q 26 to Q. 30 carries 6 marks each.

SECTION # A

1. 2. 3. Express 0.05 as a vulager fraction. Find the value of a if (x - a) is a factor of the polynomial x4 - a2x2 + 3x - 6a. The cost of a book is one third the cost of a pen. Write a linear equation in two variables to represent this statement. 4. 5. Find out how many non zero integer solutions can be possible for 3x + 2y = 18. In which quadrant do the following pints lie ? (i) (-3, 2) 6. 7. (ii) (2.5, 0) The difference of two supplementary angles is 40 0, find the angles. In the given figure, OP and OQ are opposite rays. Find x.

8. 9. 10.

The class marks of distribution are : 6, 10, 14, 18, 22, 26, 30. Find the class size and the class interval. If 7 −1 7 +1 − = a + b 7 , , find the values of a and b. 7 +1 7 −1

Find the remainder when x51 + 51 is divided by x+ 1.

SECTION # B

11. Plot the points A(2, 0), B(2, 2), C(0, 2) and draw the line segments OA, AB, BC and CO. What figure do your obtain ? 12. 13. 14. Using factor theorem, show that a - b is the factor of a(b2 - c2) + b(c2 - a2) + c(a2 - b2) Three cubes each of side 6 cm are joined end to end. Find the surface area of the resulting cuboids. The mean of 13 observation is 14. If the mean of the first 7 observation is 12 and that of last 7 observation is 16, find the 7th observation. 15. Find x2 if x = 5 +2 + 5 +1 5 −2 .

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SECTION # C

16. 17.

Factorise : p2 + pq +

q2 + 1 + 2p + q 4

Let A and B are the remainder when the polynomial y3 + 2y2 - 5ay - 7 and y3 + ay2 - 12y + 6 are divided by y + 1 and y - 2 respectively. If 2A + B = 6 then find the value of a. If the work done by a body on application of a constant force is directly proportional to the distance traveled by the body. Express this is the form of an equation is two variables and draw the graph of the same by taking the constant forces as 5 units. Also read from the graph the work done when the distance traveled by the body is (i) 2 units (ii) 0 units. Prove that the sum of the three sides of a triangle is greater than the sum of its three median. Construct a triangle ABC is which BC = 4.5 cm, ∠B = 450 and AB...

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