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1. Class – IX (Mathematics) Page 1 of 3 Sample Paper (2014-15)
Summative Assessment – I (2014-15)
Sample paper Class-IX MATHEMATICS
TIME: 3 Hrs Maximum Marks: 90
General Instructions: (i)All questions are compulsory. (ii)The question paper consists of 31 questions divided into four sections A,B,C and D. Section A comprises of 4 questions of 1 mark each. Section B comprises of 6 questions of 2 marks each. Section C comprises of 10 questions of 3 marks each and section D comprises of 11 questions of 4 marks each. (iii)Use of calculator is not permitted.
SECTION – A Question numbers 1 to 4 carry one mark each. 1. Find the value of p if x=7557pxand=?
2. If x99 +99 is divided by x+1 , then find remainder ? 3. Simplify: [(2)0+ (–3)0 + (–14) 0]2 4. If an angle is 14° more than its complement, then find its measure. SECTION – B Question numbers 5 to 10 carry two marks each. 5. Find four rational numbers between7361and.
6.Using suitable identity: (2푥−3)³+ (푦−2푧)3+8(푧−푥)3
7. In the given figure, if AOB is a straight line ,find ∠AOC,∠BOD and ∠BOC
A
B
D
C
(y+20)° )
(2y+30)°
(y+10)° 10)) O

2. Class – IX (Mathematics) Page 2 of 3 Sample Paper (2014-15)
8.CE and BF are perpendiculars to AB and AC respectively in Δ ABC such that BE = CF. Prove that ∠ B =∠ C. 9.Sides of a triangle are in ratio 12: 17: 25 and its perimeter is 540 cm. Find its area. 10.A point lies on x–axis at a distance of 7units from y–axis .What are its coordinates? What will be the coordinate of a point if it lies on y–axis at a distance of 7 units from x–axis in negative direction? SECTION–C Question number 11 to 20 carry three marks each. 11. Factorize 8a3 + b3 – 12ba2 + 6ab2 12. Represent 6.9
on the real number line 13. Check whether f(x) = 4푥³+4푥²−푥−1 푖푠 푎 푚푢푙푡푖푝푙푒 표푓 2푥+114. Prove that if two lines intersect each other, then the vertically opposite angles are equal. 15. Express 763.98in the form ofqp, where p, q are integers and q0
16. AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD. Is drawn perpendicular to CD and Show that ∠A >∠C and ∠B >∠D.
17. In the given figure, ACBD is a quadrilateral with AC=AD and AB bisects ∠A .show that ΔABC≅ΔABD .What can you say about BC and BD?
18. Find the rational numbers 'p' and 'q':
57575757+ − − − += 5qp+ 19. Plot the points M(4,3) ;N(4,0);O(0,0);P(0,3) and join them in order. Name the figure so formed. Also, find the perimeter of figure obtain 20. Explain Euclid’s Fifth Postulate? On its basis explain the existence of parallel lines. SECTION–D Question numbers 21 to 31 carry four marks each. 21. Factorize: a3 - b³ +1+3ab
A
D
B
C
A
D
C
B

3. Class – IX (Mathematics) Page 3 of 3 Sample Paper (2014-15)
22. The polynomial p(x)=ax3- 3x2 + 4 and g(x) = 2x3 -5x + a when divided by (x–2) and (x–3) leave the remainders p and q respectively. If p - 2q = 4 ,find the value of a. 23. Simplify:– 26343623233+ + + − +
24. ABC is a right angled triangle with AB=AC. Bisector of ∠A meets BC at D. Prove that BC = 2 AD 25. In the given figure , OP bisects ∠BOC and OQ bisects ∠AOC . Show that ∠POQ = 90ͦ.
26.Prove that angles opposite to equal sides in a triangle are equal. 27.The bisectors of ∠B and ∠C of Δ ABC intersect each other at the point O . Prove that ∠BOC =90ͦ +12 ∠A
28. The given figure if AB ǁ CD , if EF is drawn perpendicular to CD and ∠GED =126ͦ , find ∠AGE , ∠GEF and ∠FGE.
29. i) If 푥 ²+ 1 푥²=51,푓푖푛푑 푥 + 1 푥 ii) Without actually calculating the cubes find the value of (0.4)3–(0.2)3+(0.6)3 30 The students of a school staged a rally for cleanliness campaign. They walked through the lanes in two groups. One group walked through the lanes AB,BC and CA, while the other group through AC,CD and DA. Then They cleaned the area enclosed within their lanes. If AB = 9 m ,AC = 15m , CD= 18 m and ∠ B =90ͦ, find which group cleaned more area and by how much? Find the total area cleaned and which value is depicted by the students ? 31 Without actual division prove that 8x4–2x3+5x2+7x–2 is exactly divisible by x2–2x+3.
A
B
O
C
Q
P
A
B
C
D
F
E
G
126°

4. Instructions:
(i) The question paper comprises of two sections, A and B. You are to attempt both the sections.
(ii) All questions are compulsory.
(iii) There is no overall choice. However, internal choice has been provided in all the five
questions of five marks category. Only one option in such questions is to be attempted.
(iv) All questions of section A and all questions of section B are to be attempted separately.
(v) Questions 1 to 3 in section A are one mark questions. These are to be answered in one
word or in one sentence.
(vi) Questions 4 to 6 in section A are two marks questions. These are to be answered in about
30 words each.
(vii) Questions 7 to 18 in section A are three marks questions. These are to be answered in
about 50 words each.
(viii) Questions 19 to 24 in section A are five marks questions. These are to be answered in about
70 words each.
(ix) Questions 25 to 33 in section B are multiple choice questions( 1 mark) based on practical
skills and question 34 to 36 are short answer questions ( 2 mark ) based on practical skills.
_______________________________________________________________________________
Section-A
1. A given substance ‘X’ has definite volume but no definite shape and can diffuse easily.
What is physical state of substance ‘X’.
2. Give two examples of colloids.
3. State one factor which affects the quality of honey produced.
4. An object moves in a circular path and completes one revolution in 10s. Find the
distance and displacement of the object at the end of 15s.
5. Two objects of mass 2kg and 3kg travelling with a speed of 5m/s collide with each
other. If the speed of 2kg mass after the collision is 6m/s, find the speed of 3kg mass.
6. Give two applications of fractional distillation process.
7. What is composting?
8. Define average speed and average velocity. What is uniform acceleration?
9. Draw distance time graph for uniform and non-uniform motion. How can one find speed
from such a graph?
10. State Newton’s three laws of motion.
11. The mass of an object on the surface of earth is 5kg. What is its weight? What will be its
mass and weight on the surface of moon?
12. Obtain a relation between the weight of an object on the surface of earth and that on
moon.
Summative Assessment – I (2014-15)
Sample paper
Class-IX
SCIENCE
TIME: 3 Hrs Maximum Marks: 90

5. Class – IX (Sample paper) Page 2 of 3 Summative Assessment-I (2014-15)
13. Describe and explain the effect of increase of pressure on gases and decrease of pressure on solids. 14. Using a flow chart, show the process of obtaining different gases from air. 15. A solution of alcohol in water has been prepared by mixing 100ml of alcohol in 300 ml of water. Calculate the volume percentage of the solution. 16.State the main function of each: (a) nucleus (b) rough endoplasmic reticulum
(c) 2g (d) 200g
27.The correct order which describes the true solution, colloidal solution andsuspensioninthe order of their increasing stability is: (a) suspension< colloidal solution < true solution (b) true solution< colloidal solution < suspension (c) chromoplasts 17. State one similarity and two differences between the two types of transporting tissues in plants. OR
What are complex tissues? Name the two types of complex permanent tissues present in plants? Give one function of each complex tissue. 18. Which method is commonly used for improving cattle breeds and why? 19 List three methods of weed control. 20. (a) What does the odometer of an automobile measure? (b) What does the path of an object look like when it is in uniform motion? (c) What is uniform circular motion? What is the direction of velocity and acceleration of the object in uniform circular motion? 21. (a) A heavy and a light object have same momentum. Which of these is travelling faster? b) State the law of conservation of momentum. Give examples. 22. Describe an activity to determine the boiling point of water and melting point of ice. Or
Give an activity to study the process of sublimation with the help of a labelled diagram. 23. Describe the steps with the aid of a diagram to show how water is purified in the waterworks system and list the process involved. 24. (a) Where are the following synthesised in the cell: proteins and lysosomes. (b) What is the composition of chromosomes? (c) What is the plasma membrane made up of? (d) What is the function of areolar tissue? 25. (a) On what factor does the growth of plants and flowering depend? (b) What is mariculture? (c) Name two desirable traits for variety improvement in poultry farming. OR
(a) What is mixed cropping?Give its advantage. (b) Name two biopesticides.
(c) What management practices are common in dairy and poultry farming? Section-B
26. The value of first 10 division on a spring balance is 20g. what is the least count of the spring balance? (a) 5g (b) 20g

6. Class – IX (Sample paper) Page 3 of 3 Summative Assessment-I (2014-15)
(c) colloidal solution < true solution < suspension (d) colloidal solution < suspension < true solution 28.Sublimation can be used to separate : (a) volatile and non-volatile liquids (b) volatile and non-volatile solids (c) miscible and immiscible liquids (d) None of these 29.While determining the boiling point of water, the teacher suggested to add some pumice stone pieces to the hard glass test tube containing water. This was done to : (a) avoid bumping (b) avoid melting of hard glass test tube (c) prevent unnecessary loss of heat energy (d) spread the heat uniformly 30.Boiling point of a liquid depends upon: (a) room temperature (b) surrounding temperature
(c) atmospheric pressure
(d) none of these 31. The organelle not present in human cheek cell is (a) nucleus (b) mitochondria
(c) cell membrane
(c) egg (d) potato 34.X washed small amount of arhar dal in small amount of water. The water became yellow. He put a few drops of HCl in a test tube containing yellow water. The sample turned pink. This shows that (a) dal is not adulterated (b) dal contains protein (c) dal is adulterated with metanil yellow (d) dal is coloured with turmeric 35.What happens when iron nail is put in copper sulphate solution? 36.Why does temperature remain constant during change of state? 37.You are given 2 slides- parenchyma and sclerenchyma.Identify the plant slide A and slide B. Sclerenchyma can be identified by which characteristic?
Slide A Slide B (d) chloroplast 32. To determine the percentage of water absorbed by raisins, the raisins were wiped just before weighing. This is to ensure that: a) the raisins lose water before weighing. (b) only water absorbed by raisins is weighed. (c) the weighing scale does not get wet. (d) our hands do not get wet.
33. Which food sample you will select to test the presence of starch? (a) oil (b) coconut