SAMPLE QUESTION PAPER

Science &

Mathematics

CodeA

CBSE BoardClass X

Registered Office: Aakash Tower, 8, Pusa Road, New Delhi-110005. Ph.: (011) 47623456

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Science (Code-A) Sample Question Paper for Class X

SAMPLE QUESTION PAPERSCIENCE (Theory)Class - X (Code-A)

Q1. Which two substances does gasohol contains? [1]

Q2. 1 kWh = __________________ J. [1]

Q3. (a) State Ohm’s law. [1]

(b) Draw voltage versus current graph for Ohmic conductor at constant temperature. [1]

Q4. If the pH of an aqueous solution of a base is 13 then which colour will be obtained [2]

(a) On a universal indicator?

(b) Using phenolphthalein?

Q5. (a) What is the role of hydrochloric acid in our stomach? [1]

(b) What is photosynthesis? [1]

Q6. Sanjay saw the blades of the windmill moving. He became excited and asked his father about the windmill.

His father explained him about the working of windmill.

(a) What qualities were shown by Sanjay? [1]

(b) What is a windmill? What is its use? [2]

Q7. (a) What is Fleming’s right hand rule? [1]

(b) A particle of mass m and charge q is moving in a circular path with constant speed v in a perpendicular

uniform magnetic field B. Show that time T taken to complete one revolution is 2 m

TqB

. [2]

Time : 3 Hours Max. Marks : 80

GENERAL INSTRUCTIONS :

1. All questions are compulsory.

2. Question numbers 1 & 2 carry one mark each. These are to be answered in one word or one sentence.

3. Question numbers 3 to 5 carry two marks each. These are to be answered in about 30 words.

4. Question numbers 6 to 15 carry three marks each. These are to be answered in about 50 words.

5. Question numbers 16 to 21 carry five marks each. These are to be answered in about 70 words.

6. Question numbers 22 to 27 carry two marks each. These are practical based questions.

7. There is no overall choice in the paper. However, internal choice is provided in 2 questions of 3 marks and

1 question of 5 marks.

8. Use of calculator is not permitted.

9. It is mandatory to use Blue/Black Pen to write the answer.

COMPLETE SYLLABUS

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Sample Question Paper for Class X Science (Code-A)

Q8. (a) In the following figure, current through 3 resistor is 0.8 A. Find the potential difference across 4 resistor. [2]

3

6

4

(b) A wire of resistance 5 is stretched till its length is tripled keeping volume constant. Find the new

resistance of wire. [1]

OR

(a) A concave lens forms the image of an object such that the distance between the object and image is

10 cm and magnification produced is 1

4. Find the focal length of the lens. [2]

(b) Define Snell’s law. [1]

Q9. Answer the following : [3]

(a) Name the material which is generally used to insulate the electric wires.

(b) Name a lustrous non-metal.

(c) Name a soft metal that can be cut with a knife.

OR

Answer the following :

(a) A metal that melts when kept on palm [1]

(b) A metal that exists as a liquid at room temperature [1]

(c) A metal which is a poor conductor of heat. [1]

Q10. Elements A, B and C form a Dobereiner triad and the atomic masses of A and C is 40 u and 56 u respectively.

Compute the atomic mass of middle element B. [3]

Q11. Draw all the isomers of pentane and also write their names as per IUPAC nomenclature. [3]

Q12. Explain how are local people benefited from forest? Give any six points. [3]

Q13. (a) What is food chain? Give one example of food chain in a forest ecosystem. [1]

(b) Why are fungi and bacteria called decomposers? [2]

Q14. Draw a sectional view of human heart and label its upper chambers. [3]

Q15. (a) Give reasons for each of the following : [2×1]

(i) If the tails of mice are cut upto many generations, then tailless mice are not found.

(ii) Asexually reproducing organisms shows very little variations.

(b) Give any two examples of natural ecosystem. [1]

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Science (Code-A) Sample Question Paper for Class X

Q16. (a) Derive the relation to calculate the effective resistance in parallel combination. [2½]

(b) Calculate the current drawn from cell in the following circuit [2½]

4 V2

2

2

2

2

Q17. (a) Define refraction of light. Under what two conditions does light travelling from one medium to another

medium do not refract? [2]

(b) An object of height 6 cm is placed on the principal axis of a concave mirror of focal length f at a distance

of 4f. Find the height and nature of image. [3]

Q18. Answer the following questions :

(a) What do you understand by electrolysis of water? [2]

(b) Name the two gases liberated at anode and cathode respectively during the electrolysis of H2O. [2]

(c) Write the ratio of the two gases that are liberated during the electrolysis of H2O. [1]

Q19. (a) Complete the given reactions

(i) 2 2 7acidified K Cr O heat

3 2CH —CH OH

[1]

(ii) 2H /Ni

2 2CH CH [1]

(iii)Sunlight

4 2CH Cl [1]

(b) Why do we galvanise the iron articles? Which metal is used during galvanisation? [2]

Q20. (a) Why do we not get energy if we try to eat coal? [2]

(b) Give any three ways by which biodegradable substances would affect the environment. [3]

OR

(a) A

B

C

Identify the labelled parts A, B and C in the given figure and give one function of each. [3]

(b) Explain why reflex arcs have evolved in animals? [2]

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Sample Question Paper for Class X Science (Code-A)

Q21. (a) What would happen if egg is not fertilised? [2]

(b) Describe the method of tissue culture in plants. [3]

Q22. Raj observed that whenever he keeps a charge stationary into a uniform magnetic field, the charge remains

stationary. However as soon as he pushed the charge, the charge starts to deflects. Why? [2]

Q23. When the two identical bulbs are connected in parallel they glow with same brightness, whereas when they

are connected in series, they again glow with same brightness. Explain. [2]

Q24. Give any two characteristics of acetic acid. [2]

Q25. Name the type of chemical reaction involved during the addition of water to quicklime. Also, write the

reaction involved. [2]

Q26. In a practical class, teacher gave a slide showing binary fission in Amoeba to the students and told them

to give one word for each of the following :

(a) Name any one cell component observed in the given slide. [1]

(b) Name the process by which nucleus divides. [1]

Q27. Give any two advantages of vegetative propagation. [2]

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Mathematics (Code-A) Sample Question Paper for Class X

Time : 3 Hours Max. Marks : 80

SECTION-A

Q1. Values of K for which the quadratic equation 2x2 – 3kx + 2k = 0 has equal roots. [1]

Q2. If the area of the quadrant of a circle is 154 cm2, then find the radius of the circle. [1]

Q3. A number is chosen at random from 1 to 30. Find the probability that it is a prime number. [1]

Q4. If the pair of linear equations 2x – 7y + 14 = 0 and kx + 4y – R = 0 is dependent, then find the value of R and k. [1]

Q5. If the sum of radius of the two bases of a frustum is 14 cm and slant height of the frustum is 5 cm, then

find the curved surface area of the frustum. [1]

Q6. If two zeroes of a cubic polynomial Px3 – Qx2 + Rx + S are 2 and –2, then find the third zero of the polynomial in

terms P and Q. [1]

SECTION-B

Q7. Check the numbers 454 and 237 are co-prime numbers or not. [2]

Q8. Find a point which is equidistant from the points A(–6, 4) and B(4, –8). How many such point are there? [2]

Q9. Is it possible to design a rectangular sheet whose breadth is one-fourth of its length and area equal to 16 m2?

If so, then find its perimeter. [2]

SAMPLE QUESTION PAPERMATHEMATICS

Class - X (Code-A)

GENERAL INSTRUCTIONS :

1. All questions are compulsory.

2. The question paper consists of 30 questions divided into four sections A, B, C and D.

3. Section A comprises 6 questions of 1 mark each. Section B comprises 6 questions of 2 marks each.

Section C comprises 10 questions of 3 marks each. Section D comprises 8 questions of

4 marks each including one value based question.

4. There is no overall choice in the paper. However, internal choice is provided in 2 questions of 3 marks and

2 questions of 4 marks.

5. Use of calculator is not permitted.

6. It is mandatory to use Blue/Black Ballpoint Pen to write the answer.

COMPLETE SYLLABUS

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Sample Question Paper for Class X Mathematics (Code-A)

Q10. The following table shows the less than type cumulative frequency distribution of the marks obtained by

70 students of class 10th in a school during a particular academic session. Find the continuous frequency

distribution of the given data. [2]

Marks Number of students

Less than 20 5

Less than 40 22

Less than 60 34

Less than 80 58

Less than 100 70

Q11. The king, queen and jack of red cards are removed from a deck of 52 playing cards and then well shuffled.

Now, a card is drawn at random from the pack, then find the probability of getting a face card. [2]

Q12. Find a natural number whose square diminished by 24 is equal to ten times of the given number. [2]

SECTION-C

Q13. The first term of an AP is 12 and the last term is 90. If the sum of all the terms of the AP is 1377, then

find the number of terms and common difference. [3]

Q14. In the given figure, if QST RTS, then show that PST~PQR. [3]

P

S T

Q R

OR

A boy of height 1.75 m is walking away from the base of a lamp-post at a speed of 1.2 m/s. If the lamp is

7 m above the ground, then find the length of the shadow after 5 seconds. [3]

Q15. If cos sin sin cos

2p q p q

m n

, then prove that (m2 + n2)

2 2( )

4

p q . [3]

Q16. A survey regarding the heights (in cm) of 50 boys of class-X of a school was conducted and the following

data was obtained. [3]

Height(in cm) 120 130 130 140 140 150 150 160 160 170

Number of boys 6 7 12 15 10

Find the mode of the height of the above data.

Q17. A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height 10 m. The

angle of elevation of the top of the flagstaff from a point at some distance from the foot of the tower is seemed

to be 60°. And the angle of elevation of the top of the tower from a point which is obtained on moving 30 m

away from the tower from first point is seemed to be 30°. Find the length of the tower. [3]

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Mathematics (Code-A) Sample Question Paper for Class X

Q18. The speed of a boat in still water is 8 km/h. It can go 30 km upstream and return downstream to the same

point in 8 hours, find the speed of the stream. [3]

OR

Solve the equation :

4x2 – 10x(a + b) + 6a2 + 13ab + 6b2 = 0 [3]

Q19. In the given figure, PQR is a right-angled triangle at Q. If S is the mid-point of PQ, then find the value of

2sin + 3cos. [3]

14 cm

R Q

S

P

8 cm

Q20. If the base of a triangle is 15 cm less than its altitude and area of triangle is 350 cm2, then find the base

and altitude of the triangle. [3]

Q21. If tan + cot = 2 where 0° < < 90°, then find the value of sin15 + cos45. [3]

Q22. The heights of 80 plants were recorded as below : [3]

Heights (in cm) Below 80 Below 90 Below 100 Below 110 Below 120 Below 130

Number of Plants 17 28 54 62 76 80

Construct a continuous frequency distribution table and find the median height of the above data.

SECTION-D

Q23. Rajeev had some mangoes and he divided them into two boxes P and Q. He sold the first box at the rate

of ` 8 for 5 mangoes and the second box at the rate of ` 2 per mangoes, and got a total of ` 280. If he

had sold the first box at the rate of ` 1 per mango and the second box at the rate of ` 8 for 5 mangoes,

his total collection would have been ` 210. Find the total number of mangoes he had. [4]

Q24. Draw two concentric circles of radii 4 cm and 6 cm. Taking a point on outer circle construct the pair of

tangents to the other. Also, write the steps of construction. [4]

Q25. Show that cube of an even positive integer can be of the form of 6m, 6m + 2 or 6m + 4, for some integer m. [4]

OR

Prove that if a and b are both different odd positive integers, then a3 – b3 is even but not always divisible by 4. [4]

Q26. In an equilateral triangle PQR, if points A, B and C divides PQ, QR and RP in 1 : 2 and area of PQR is

29 3 cm , then find the area of ABC. [4]

Q27. The mid-points D, E and F of the sides BC, CA and AB of a ABC are respectively (–4, –3), (1, –2) and

(2, 3). Find the coordinates of the vertices of ABC and the perimeter of ABC. [4]

Q28. Find the difference of the areas of two segments of a circle formed by a chord of length 10 cm subtending

an angle of 90° at the centre. [Use = 3.14] [4]

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Sample Question Paper for Class X Mathematics (Code-A)

OR

In the given figure, ABCD is a square. At corners A, B, C and D there are four quadrants of equal radii and

between two quadrants there is a semi-circle of equal radii in each side of square. Find the area of the shaded

region. [4]

A B

CD

4 cm

12 cm

Q29. In the given figure, PQR is a triangle where vertices R lies on the circumference of the semi-circle with diameter

PQ and centre O. PRS and QS are the line segments. Prove that PR × PS + QT × QS = PQ2. [4]

S

R

T

PO

Q

Q30. (a) Gram Panchayat of a village distributed dustbins which are in the shape of a frustum of a cone with slogan

“Swachh Bharat Ek Kadam Swachhta ki Taraf” to each family in their village. If the radii of the ends of

the dustbin is 35 cm, 21 cm and height of the dustbin is 48 cm, then find the volume and the slant height

of the dustbin. [3]

(b) What value is being depicted by the Gram Panchayat? [1]

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