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1. Class – 10 (Maths) Sample Paper Page 1 of 3 Summative Assessment-I (2014-15)
Summative Assessment-I, Sample Paper Class : X, Subject : Maths
Time : 3 hours MM : 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.
9. If α and α1
are zeros of polynomial 4x2 – 2x + (k – 4) . Find k. 10.The following distribution gives the daily income of 50 workers of a factory: Daily Income in (`) 100-120 120-140 140-160 160-180 180-200 Number of workers 12 14 8 6 10 Write the above distribution as “less than type” cumulative frequency distribution. SECTION – A Question numbers 1 to 4 carry one mark each. 1. If LCM (54,336) = 3024, then find HCF (54,336).
2. If the sides of two similar triangles are in ratio 4:9, then find ratio of area of these triangles. 3. Find the Value of 5 tan2 A – 5 sec2 A. 4. If mean = 24, median = 26, then find mode.
Section – B Questions numbers 5 to 10 carry two marks each. 5. For what value of p will the following system of equations have no solution (2p − 1)x + (p − 1)y = 2p + 1; y + 3x − 1 = 0 6. If tan 2A = cot (A – 18o), where 2A is an acute angle, find the value of A. 7. Is 7 × 11 x 13 + 13 a composite number? Justify your answer.
8. In the given figures, find the measure of ∠X.

2. Class – 10 (Maths) Sample Paper Page 2 of 3 Summative Assessment-I (2014-15)
Section-C Questions numbers 11 to 20 carry three marks each. 11.The sum of a two digit number and the number obtained by reversing the digits is 66. If the digits differ by 2, find the number. 12.If α and β are the zeros of polynomial x2 – 2x – 8 then form a quadratic polynomial whose zeros are 3훼and 3훽.
13. Prove that: AcosAcotAcosAcot+ −= 1Acosec1Acosec+ − .
14. Evaluate: )A90(cosecAsin)A90sin(Acos)A90sec( Acos)A90cos(AsinAcosAsin− − − − − −
15. Prove that: θ= θ−θθ−θtancoscos2sin2sin33
16. In the given figure, ∠ACB = 90° and CD ⊥ AB. Prove that ADBDACBC22= 17. In the given figure, if AD ⊥ BC, prove that AB2 + CD2 = BD2 +AC2.
18. Prove that 6 – √5
is an irrational number. 19. The given distribution shows the number of runs scored by some top Batsman of the world in one day international cricket matches :
Runs scored
3000- 4000
4000- 5000
5000- 6000
6000- 7000
7000- 8000
8000- 9000
9000- 10000
10000- 11000
Number of batsman
4
18
9
7
6
3
1
1
Find the mode of the data. 20. If the mean of given data is 50. Find the value of p.
Class-Interval
0-20
20-40
40-60
60-80
80-100
Frequency
17
28
32
p
19
A
B
D
C
A
C
D
B

3. Class – 10 (Maths) Sample Paper Page 3 of 3 Summative Assessment-I (2014-15)
Section-D Questions numbers 21 to 31 carry four marks each
21. Prove that: AcosAsin11AcosAsinAsinAcos1+ = −+ +− 22. If two zeros of the polynomial x4 – 6x3 – 26x2 + 138x – 35 are 2 ±√3
, find other zeros. 23.Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Find the co-ordinate of the vertices of triangle formed by these lines and x – axis, shade the region. Also find the area of triangle. 24.If the median of the distribution given below is 28.5. Find x and y.
Class-interval
0-10
10-20
20-30
30-40
40-50
50-60
Total
Frequency
5
x
20
15
y
5
60
25.Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8. 26.Two points A and B are 90 km apart from each other on a highway. A car starts from A and another from B at the same time. If they go in the same direction, they meet in 9 hours and if they go in the opposite directions, they meet in 721
x41, then prove that : sec휃+ tan 휃= 2x or . x21
29. The following table gives production of wheat of 100 farms of a village.
Production (in kg/ha)
50 – 55
55 – 60
60 – 65
65 – 70
70 – 75
75 – 80
Number of farms
2
8
12
24
38
16
Change the distribution to 'more than type' distribution and draw its ogive and find median. 30. Evaluate: °° °°° + °+° θ−θ− 60cos30sin62tan28tan60cos2)65sin25(sin2cot)90(sec2222222
31. In the given figure, AB || PQ || CD, AB = x units, CD = y units and PQ = z units, prove that, z1y1x1=+
.
hours, find their speeds. 27. Prove that in a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of other two sides. 28. If sec θ = x +

4. Class – X (Science) Sample Paper Page 1 of 3 Summative Assessment-I (2014-15)
Class-X SCIENCE
TIME : 3 ½ Hrs Maximum Marks : 90
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 three 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 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 based on practical skills. Each question is a one mark question. You are to select one most appropriate response out of the four provided to you. Questions 34 to 36 in section B are two mark question.
Section A
1. What are biocatalysts?
2. Name any one metal which is found in its free state in nature.
3. Suggest any two reasons which make the large scale usage of nuclear energy prohibitive.
4. Name the type of the reaction and product formed when magnesium reacts with air or oxygen.
5. a) Name the gland which releases thyroxin. b) State the function of thyroxin.
6. State two differences between artery and vein on the basis of a) type of blood it carries b) valves
7. Differentiate between renewable and non-renewable sources of energy with one example for each.
8. Resistances of three resistors are given as R1=20Ω, R2 = 40Ω and R3 = 60Ω. Calculate the effective resistance when they are connected in series. Also calculate the current flowing when the combination is connected to a 6V battery.
9. A student while studying the force experienced by a current carrying conductor in a magnetic field records the following observations (i) The force experienced by the conductor increases as the current is increased (ii) The force experienced by the conductor decreases as the strength of the magnetic field is increased. Which of the two observations is correct and why ?
10. What is an electromagnet ? How is it different from a permanent magnet ? State two uses of electromagnet.
11. List (i) any three advantages and (ii) any three limitations of using a solar cooker.
12. Write commercial and SI units of energy. Calculate the cost electric energy consumed by a electric heater rated with 50W used for 2hours daily in the month of April. The cost of one unit of electric energy is Rs 5.
13. What is corrosion? Why Aluminium sheets do not corrode easily? Write two necessary conditions for corrosion to take place.
14. Why should curd not be kept in copper or brass vessels? What is done to protect it?
15. (a) What is an acid? Give an example. (b) Why do acids like HCl conduct electricity in aqueous solutions while solutions of compounds like alcohol and glucose do not?
16. Suppose you have to extract metal M from its enriched carbonate ore. If M is in the middle of the reactivity series. Write various steps used in the extraction of this metal. Also give balanced chemical equations. SUMMATIVE ASSESSMENT-I 2014-15

5. Class – X (Science) Sample Paper Page 2 of 3 Summative Assessment-I (2014-15)
17. Write a chemical equation for the reactions taking place when (a) ZnO is heated with coke (C) (b) Zinc carbonate is calcined. (c) Zinc sulphide is roasted
18. Mention the two main components of the transport system in plants. State one specific function of each one of these components.
19. (a) Calculate the Equivalent Resistance of the following combination of resistors
(b) An electric bulb draws a current of 0.8A from 250 V mains. The bulb is used on an average 10 hours a day. If energy costs Rs 3 per kWh, calculate the monthly bill for 30 days.
20. Why can’t two magnetic field lines cross each other? Draw the magnetic field lines (including field directions) of the magnetic field due to a long straight solenoid. What important property of this field is indicated by this field line pattern? Name any two factors on which the magnitude of the magnetic field due to this solenoid depends.
21. (a) Write the electron dot structure for calcium and oxygen. The atomic numbers of calcium and oxygen are 20 and 8 respectively. (b) Show the formation of calcium oxide by the transfer of electrons. (c) Ionic compounds are high melting solids. Give reason.
22. (a) Why does medium become acidic in mouth? (b) What is the ill effect of acidic medium? (c) How can this be prevented?
23. (a)Draw a labelled diagram of excretory system in human beings and label the following: (i)left kidney (ii)renal artery (iii)urinary bladder (iv)urethra (b)Name the functional unit of kidney. (c)Name two nitrogenous wastes released from kidney.
24. (a) State the functions of mid brain and hind brain respectively. (b) How is the brain and spinal cord protected? (c) Why do tendrils coil around a support?
Section-B
25. Which of the following experimental set up is correct for verification of Ohm’s law ?
(a) A (b) B (c) both A and B (d) Neither A nor B 32.
26. A student has to connect 4 cells of 1.5 V each to form a battery of 6V.
The correct way of connecting these cells is shown in figure : (a) A (b) B (c) C (d) D
27. A voltmeter has a least count of 0.05 volt. While doing Ohm's law experiment, a student observed that the pointer of the voltmeter coincides with 15th division. The observed reading is :
(a) 0.75V (b) 0.075V (c) 7.5V (d) 75V
28. When a coiled wire of iron is placed in copper sulphate solution, the reddish-brown substance formed is (a) soft and dull (b) hard and flaky (c) smooth and shinning (d) rough and granular

6. Class – X (Science) Sample Paper Page 3 of 3 Summative Assessment-I (2014-15)
29. Ferrous sulphate crystals on heating strongly in a test tube give a suffocating gas. This gas turns acidified potassium dichromate paper green. The gas evolved is (a) sulphur dioxide (b) hydrogen sulphide (c) chlorine (d) oxygen
30. When small quantity of iron filings are placed in a solution of copper sulphate a reddish brown solid substance (A) is separated and the solution turns light green (B) The substances A and B are (a) copper, sulphuric acid (b) copper, iron sulphate (c) iron sulphate, copper sulphate (d) copper, copper sulphate
31. Which of the following cells possess well defined nucleus ?
(a) (a) and (b) (b) (a) and (c) (c) (c) and (b) (d) (a), (b) and (c)
32. Figures A, B, C and D show leaves that have been boiled in alcohol, placed in four beakers containing liquids as labelled. In which one of the above a positive test for presence of starch would be obtained?
(a) A (b) B (c) C (d) D
33. A student sets up the apparatus for the experiment to show that CO2 is released during respiration. After 2 hours, he would observe that : (a) KOH turns milky. (b) water level rises in the bent tube in the beaker. (c) water level decreased in the bent tube in the beaker. (d) water turns turbid in the beaker.
34. The readings of current flowing through a conductor and the potential difference across its two ends are shown in the ammeter and voltmeter given below. What will be the value of resistance in it?
35. Two resistances R1=10 ohm and R2 =10 ohm are to be connected with 20V battery. Out of which of the following maximum current will flow. Calculate its magnitude.
36. Match the important chemical given in column (A) with the chemical formulae given in column (B) Column (A) Column (B)
(a)Plaster of Paris (i) Ca(OH)2 (b)Gypsum (ii) CaSO4.1/2 H2O
(c)Bleaching powder (iii) CaSO4.2 H2O (d) Slaked lime (iv) CaOCl2