KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

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1 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 F PERIODIC TEST III EXAM ( ) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Unit 6(3) 6(3) Polynomials Pair of Linear Equations in two variables * 9(3) Quadratic Equations * Arithmetic progression 7(3) Coordinate Geometry * Introduction to Trigonometry * 11(4) Mensuration Geometry Trigonometry Coordinate Geometry Algebra Number system Unit Chapter Real Numbers 26(10) 15(5) Some Applications of Trigonometry * * Circles Constructions Areas Related to Circles 32(8) 80(30) 80(30) Triangles 17(6) * 6(6) 12(6) 30(10) Note: * - Internal Choice Questions Page - 1 -

2 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 F PERIODIC TEST III EXAM ( ) SUBJECT: MATHEMATICS CLASS : X MAX. MARKS : 80 DURATION : 3 HRS General Instruction: (i) All questions are compulsory. (ii) This question paper contains 30 questions divided into four Sections A, B, C and D. (iii) Section A comprises of 6 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 8 questions of 4 marks each. (iv) There is no overall choice. However, an internal choice has been provided in four questions of 3 marks each and three questions of 4 marks each. You have to attempt only one of the alternatives in all such questions. (v) Use of Calculators is not permitted SECTION A Questions 1 to 6 carry 1 mark each. 1. Find the values of k for quadratic equation 2x2 + kx + 3 = 0, so that they have two equal roots. 2. If sina = 3, find the value of tana If HCF of two numbers 96 and 404 is 4, then find LCM 4. Let Δ ABC ~ Δ DEF and their areas be, respectively, 64 cm2 and 121 cm2. If EF = 15.4 cm, find BC. 5. Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, 3) and B is (1, 4). 6. Which term of the AP : 21, 18, 15,... is 81? SECTION B Questions 6 to 12 carry 2 marks each. 7. The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. 8. Find the zeroes of the polynomial 2x2 5x + 7, and verify the relation between the coefficients and the zeroes of the polynomial. 9. Using Euclid s division algorithm, find the HCF of 2160 and Solve 2x + 3y = 11 and 2x 4y = 24 and hence find the value of m for which y = mx If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80, then find POA 12. Find the sum of first 24 terms of the list of numbers whose nth term is given by an = 3 + 2n SECTION C Questions 13 to 22 carry 3 marks each. 13. Prove that is an irrational number. Page - 2 -

3 14. Prove that the parallelogram circumscribing a circle is a rhombus. 15. If two zeroes of the polynomial 2x4 3x3 3x2 + 6x 2 are of the polynomial. 2 and 2, find the other zeroes 16. If A( 5, 7), B( 4, 5), C( 1, 6) and D(4, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD. Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, 1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle. 17. In the below figure, O is a point in the interior of a triangle ABC, OD BC, OE AC and OF AB. Show that (i) OA2 + OB2 + OC2 OD2 OE2 OF2 = AF2 + BD2 + CE2, (ii) AF2 + BD2 + CE2 = AE2 + CD2 + BF2. In the below figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC ar ( ABC ) AO at O, show that ar ( DBC ) DO 18. In the below figure, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region. Page - 3 -

4 19. If tan (A + B) = Prove that: 3 and tan (A B) = cot A cos A cos eca 1. cot A cos A cos eca 1 1 ; 0 < A + B 90 ; A > B, find A and B In Δ OPQ, right-angled at P, OP = 7 cm and OQ PQ = 1 cm. Determine the values of sin Q and cos Q. 21. The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number. 22. A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding : (i) minor segment (ii) major sector. (Use π = 3.14) A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope. Find (i) the area of that part of the field in which the horse can graze. (ii) the increase in the grazing area if the rope were 10 m long instead of 5 m. (Use π = 3.14) SECTION D Questions 23 to 30 carry 4 marks each. 23. A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60. Find the time taken by the car to reach the foot of the tower from this point. 24. A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream. An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains. 25. Prove that The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 26. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms. 27. Determine the ratio in which the line 2x + y 4 = 0 divides the line segment joining the points A(2, 2) and B(3, 7). Page - 4 -

5 28. Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q. 29. Prove that cos A sin A 1 cos eca cot A cos A sin A Draw the graphs of the equations x y + 1 = 0 and 3x + 2y 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region. Solve the equations: x y 3x y 4 and (3x y ) 2(3x y ) 8 Page - 5 -

6 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 F PERIODIC TEST III EXAM ( ) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Unit 6(3) 6(3) Polynomials Pair of Linear Equations in two variables * 9(3) Quadratic Equations * Arithmetic progression 7(3) Coordinate Geometry * Introduction to Trigonometry * 11(4) Mensuration Geometry Trigonometry Coordinate Geometry Algebra Number system Unit Chapter Real Numbers 26(10) 15(5) Some Applications of Trigonometry * * Circles Constructions Areas Related to Circles 32(8) 80(30) 80(30) Triangles 17(6) * 6(6) 12(6) 30(10) Note: * - Internal Choice Questions Page - 1 -

7 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 F PERIODIC TEST III EXAM ( ) SUBJECT: MATHEMATICS CLASS : X MAX. MARKS : 80 DURATION : 3 HRS General Instruction: (i) All questions are compulsory. (ii) This question paper contains 30 questions divided into four Sections A, B, C and D. (iii) Section A comprises of 6 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 8 questions of 4 marks each. (iv) There is no overall choice. However, an internal choice has been provided in four questions of 3 marks each and three questions of 4 marks each. You have to attempt only one of the alternatives in all such questions. (v) Use of Calculators is not permitted SECTION A Questions 1 to 6 carry 1 mark each. 1. In ΔABC, D and E are points on sides AB and AC respectively such that DE BC and AD : DB = 3 : 1. If AE = 6.6 cm then find EC. 2. If the mid-point of the line segment joining the points P(6, b 2) and Q( 2, 4) is (2, 3), find the value of b. 3. If tan θ = cot (30 + θ), find the value of θ. 4. For what value of k, are the roots of the quadratic equation 3x2 + 2kx + 27 = 0 real and equal. 5. The HCF of two numbers is 145 and their LCM is If one number is 725, then find the other number. 6. For what value of p, are 2p + 1, 13, 5p 3 three consecutive terms of an AP? SECTION B Questions 6 to 12 carry 2 marks each. 7. Use Euclid s division algorithm to find the HCF of 504 and Find a quadratic polynomial, whose zeroes are 3 and Prove that in two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact. 10. The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles. 11. For what values of k will the following pair of linear equations have infinitely many solutions? kx + 3y (k 3) = 0 12x + ky k = If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term. Page - 2 -

8 SECTION C Questions 13 to 22 carry 3 marks each. 13. Prove that 5 is an irrational number. 14. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle. 15. Find the area of the quadrilateral whose vertices, taken in order, are ( 4, 2), ( 3, 5), (3, 2) and (2, 3). If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y. 16. D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE2 + BD2 = AB2 + DE2. In the below figure, the line segment XY is parallel to side AC of Δ ABC and it divides the AX. triangle into two parts of equal areas. Find the ratio AB A B C 17. If A, B and C are interior angles of a triangle ABC, then show that tan , cos (A + B) =, 0 < A + B 90, A > B, find A and B. If sin (A B) = Find the area of the shaded design in below figure, where ABCD is a square of side 10 cm and semicircles are drawn with each side of the square as diameter. (Use π = 3.14) 19. Find the area of the segment AYB shown in the below figure, if radius of the circle is 21 cm and AOB = 120. Page - 3 -

9 A round table cover has six equal designs as shown in the below figure. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs 0.35 per cm2. (Use 3 = 1.7) 20. If sin 3A = cos (A 26 ), where 3A is an acute angle, find the value of A. 21. On dividing x3 3x2 + x + 2 by a polynomial g(x), the quotient and remainder were x 2 and 2x + 4, respectively. Find g(x). 22. Draw the graphs of the equations x y + 1 = 0 and 3x + 2y 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region. SECTION D Questions 23 to 30 carry 4 marks each. 23. As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30 and 45. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships Two water taps together can fill a tank in 9 hours. The tap of larger diameter takes 10 hours 8 less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank. A rectangular park is to be designed whose breadth is 3 m less than its length. Its area is to be 4 square metres more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of altitude 12 m. Find its length and breadth. Page - 4 -

10 25. Prove that The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 26. A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train. A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. Determine the speed of the stream and that of the boat in still water. 27. The vertices of a Δ ABC are A(4, 6), B(1, 5) and C(7, 2). A line is drawn to intersect sides AB AD AE 1. Calculate the area of the Δ ADE and and AC at D and E respectively, such that AB AC 4 compare it with the area of Δ ABC. 28. The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP. 29. Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and ABC = 60. Then construct a triangle whose sides are 3/4 of the corresponding sides of the triangle ABC. 30. Prove that sin cos 1 sec tan sin cos 1 Page - 5 -

11 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 03 F PERIODIC TEST III EXAM ( ) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Unit 6(3) 6(3) Polynomials Pair of Linear Equations in two variables * 9(3) Quadratic Equations * Arithmetic progression 7(3) Coordinate Geometry * Introduction to Trigonometry * 11(4) Mensuration Geometry Trigonometry Coordinate Geometry Algebra Number system Unit Chapter Real Numbers 26(10) 15(5) Some Applications of Trigonometry * * Circles Constructions Areas Related to Circles 32(8) 80(30) 80(30) Triangles 17(6) * 6(6) 12(6) 30(10) Note: * - Internal Choice Questions Page - 1 -

12 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 03 F PERIODIC TEST III EXAM ( ) SUBJECT: MATHEMATICS CLASS : X MAX. MARKS : 80 DURATION : 3 HRS General Instruction: (i) All questions are compulsory. (ii) This question paper contains 30 questions divided into four Sections A, B, C and D. (iii) Section A comprises of 6 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 8 questions of 4 marks each. (iv) There is no overall choice. However, an internal choice has been provided in four questions of 3 marks each and three questions of 4 marks each. You have to attempt only one of the alternatives in all such questions. (v) Use of Calculators is not permitted SECTION A Questions 1 to 6 carry 1 mark each. 1. Which term of the AP : 21, 18, 15,... is 81? 2. Check whether 6n can end with the digit 0 for any natural number n. 3. A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall. 4. If the mid-point of the line segment joining the points P(3, b + 2) and Q(1, 4) is (2, 3), find the value of b. 5. In Δ ABC, right-angled at B, AB = 5 cm and ACB = 30. Determine the lengths of the sides BC 6. For what value of k, are the roots of the quadratic equation 3x2 + 3kx + 27 = 0 real and equal. SECTION B Questions 6 to 12 carry 2 marks each. 7. Divide 3x2 x3 3x + 5 by x 1 x2, and verify the division algorithm. 8. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle. 9. The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. 10. For which value of k will the following pair of linear equations have no solution? 3x + y = 1 (2k 1) x + (k 1) y = 2k Prove that is an irrational number. 12. How many terms of the AP : 24, 21, 18,... must be taken so that their sum is 78? Page - 2 -

13 SECTION C Questions 13 to 22 carry 3 marks each. 13. Use Euclid s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m. 14. Verify that a median of a triangle divides it into two triangles of equal areas for Δ ABC whose vertices are A(4, 6), B(3, 2) and C(5, 2). Find the centre of a circle passing through the points (6, 6), (3, 7) and (3, 3). 15. O is any point inside a rectangle ABCD (see below figure). Prove that OB2 + OD2 = OA2 + OC2. Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that Δ ABC ~ Δ PQR. 16. Find the area of the shaded region in below figure, where ABCD is a square of side 14 cm. On a square handkerchief, nine circular designs each of radius 7 cm are made (see below figure). Find the area of the remaining portion of the handkerchief. 17. Obtain all other zeroes of 3x4 + 6x3 2x2 10x 5, if two of its zeroes are 5 5 and. 3 3 Page - 3 -

14 18. Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that PTQ = 2 OPQ. 19. If sin 3A = cos (A 26 ), where 3A is an acute angle, find the value of A. 0 sin18 Evaluate: 3 tan100 tan 300 tan 400 tan 500 tan cos In Δ PQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P. 21. A chord of a circle of radius 12 cm subtends an angle of 120 at the centre. Find the area of the corresponding segment of the circle. (Use π = 3.14 and 3 = 1.73) 22. Solve the equations: (a b)x + (a + b) y = a2 2ab b2 (a + b)(x + y) = a2 + b2 SECTION D Questions 23 to 30 carry 4 marks each. 23. A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60. After some time, the angle of elevation reduces to 30. Find the distance travelled by the balloon during the interval. 24. A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. Find the actual speed of the train. In a class test, the sum of Shefali s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects. 25. Prove that If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. Prove that If in a triangle, square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle. 26. Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars? The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle. Page - 4 -

15 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on (see below figure). In how many rows are the 200 logs placed and how many logs are in the top row? 28. ABCD is a rectangle formed by the points A( 1, 1), B( 1, 4), C(5, 4) and D(5, 1). P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. Is the quadrilateral PQRS a square? a rectangle? or a rhombus? Justify your answer. 29. Draw a triangle ABC with side BC = 7 cm, B = 45, A = 105. Then, construct a triangle 4 times the corresponding sides of Δ ABC. whose sides are Prove that tan cot 1 sec cos ec 1 cot 1 tan Page - 5 -

16 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 F PERIODIC TEST III EXAM ( ) SUBJECT: SCIENCE (086) Chapter Chemical Reactions and Equations Acids, Bases and Salts Metals and Nonmetals Carbon and its compounds Periodic Classification of Elements Life Process Control and Coordination How do organisms reproduce? Heredity and Evolution Light - Reflection and Refraction VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (5 marks) Practical Based Questions * * 7(2) * Unit 25(8) 23(9) 4(2) 6(2) 6(2) 7(3) 12(4) * Effects of Current The Human Eye and the colourful world Electricity Magnetic Effects of Electric Current * Natural Resources Natural Phenomen a World of Living UNIT Chemical Substances Nature and Behaviour BLUE PRINT : CLASS X Our Environment Management of Natural Resources 13(4) 2(2) 6(3) 30(10) 8(2) - # 7(2) 7(2) 80(27) 80(27) -30(6) 12(6) Note: * - Internal Choice Questions of same chapter. # - Internal Choice Questions of two chapters Page - 1 -

17 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 F PERIODIC TEST III EXAM ( ) SUBJECT: SCIENCE CLASS : X General Instructions: MAX. MARKS : 80 DURATION : 3 HRS All questions are compulsory. The question paper comprises of two Sections, A and B. You are to attempt both the sections. All questions of Section-A and Section-B are to be attempted separately. There is an internal choice in three questions of three marks each and two question of five marks. Question number 1 to 2 in Section-A are one mark question. These are to be answered in one word or in one sentence. Question numbers 3 to 5 in Section-A are two marks questions. These are to be answered in about 30 words each. Question numbers 6 to 15 in Section-A are three marks questions. These are to be answered in about 50 words each. Question numbers 16 to 21 in Section-A are five marks questions. These are to be answered in about 70 words each. Question numbers 22 to 27 in Section-B are questions based on practical skills and are two marks questions. SECTION A 1. Where are Nissl s granules found and what is their nature? 2. State what type of method is used for growing jasmine plant. 3. An element M has atomic number 12. (a) Write its electronic configuration. (b) State the group to which M belongs. (c) Is M a metal or a non-metal? (d) Write the formula of its oxide. 4. Vehicles in this mirror are closer than they appear. Why is this warning printed on the side view mirror of most vehicles? 5. Explain biological magnification with the help of an example g of ferrous sulphate crystals are heated in a dry boiling tube. (a) List any two observations. (b) Name the type of chemical reaction taking place. (c) Write the chemical equation for the reaction. 7. (a) Name the compound which is obtained from baking soda and is used to remove permanent hardness of water. (b) Write its chemical formula. (c) What happens when it is recrystallised from its aqueous solution? What is tooth enamel chemically? State the condition when it starts corroding. What happens when food particles left in the mouth after eating degrade? Why do doctors suggest use of tooth powder/toothpaste to prevent tooth decay? 8. Write the number of periods the Modern Periodic Table has. State the changes in valency and metallic character of elements as we move from left to right in a period. Also state the changes, if any, in the valency and atomic size of elements as we move down a group. 9. Draw a diagram of human respiratory system and label on it: (a) Diaphragm (b) Larynx Page - 2 -

18 Describe the structure and functioning of nephrons. 10. What is AIDS? Which microbe is responsible for AIDS infection? State one mode of transmission of this disease. Explain in brief one measure for the prevention of AIDS. 11. An object of height 6 cm is placed perpendicular to the principal axis of a concave lens of focal length 5 cm. Use lens formula to determine the position, size and nature of the image if the distance of the object from the lens is 10 cm. 12. A circuit is shown in the diagram given below. (a) Find the value of R. (b) Find the reading of the ammeter. (c) Find the potential difference across the terminals of the battery. 13. What is meant by solenoid? How does a current carrying solenoid behave? Give its main use. State one main difference between AC and DC. Why AC is preferred over DC for long range transmission of electric power? Name one source each of DC and AC. 14. How do Mendel s experiment show that traits are inherited independently? 15. How are fossils formed? Describe, in brief two methods of determining the age of fossils. 16. How is the method of extraction of metals high up in the reactivity series different from that for metals in the middle? Why the same process cannot be applied for them? Explain giving equations, the extraction of sodium. 17. Explain isomerism. State any four characteristics of isomers. Draw the structures of possible isomers of butane, C4H10. What are micelles? Why does it form when soap is added to water? Will a micelle be formed in other solvents such as ethanol also? State briefly how the formation of micelles help to clean the clothes having oily spots. 18. What is meant by reflex-action? With the help of a labelled diagram trace the sequence of events which occur when we touch a hot object. 19. An old person finds it difficult to see nearby objects comfortably and distinctly without corrective eye glasses. (a) What defect of vision is he suffering from? What is it? (b) List two causes for the development of this defect. (c) What kind of lens will be required to see clearly the nearby as well as distant objects? Give reasons. (d) How is the eye defect of old person differing from near-sightedness and far-sightedness? Page - 3 -

19 20. (a) Explain why there are two separate circuits one for high power rating appliances and other for low power rating appliances. (b) A domestic circuit has 5A fuse. How many bulbs of rating 100W, 220V can be safely used in this circuit? Justify your answer. 21. A non-biodegradable toxic chemical has entered into the food chain. Which type of food habit will you suggest to a man, vegetarian or non-vegetarian? Explain with the help of a food chain. The food chain which you would suggest, is advantageous in an another aspect. How? Explain the traditional water harvesting system with a suitable diagram. Write about the techniques of water harvesting. SECTION B 22. Name the parts A and C shown in the following diagram and state one function of each. 23. A ray of light is refracted as per the following diagram. Which media A or B is optically denser than other? ml of water and 10 ml of sulphuric acid are to be mixed in a beaker (a) State the method that should be followed with reason. (b) What is this process called? 25. (a) Write the balanced chemical equation for the process of photosynthesis. (b) When do the desert plants takeup carbon dioxide and perform photosynthesis? 26. Atom of an element contains five electrons in its valence shell. This element is major component of air. It exists as a diatomic molecule. (i) Identify the element. (ii) Show the bond formed between two atoms of this element. (iii) Write the nature of the bond between the two atoms. Page - 4 -

20 27. In the given circuit, resistors A and B are made up of same metal and are of the same length but, A is thicker than B. Which of the two ammeters will show a higher reading? Justify your answer. While experimentally verifying Ohm s Law a student observed that the pointer of the voltmeter coincide with 15th division when the voltmeter has a least count of 0.05 V. Find the observed reading of voltmeter. Page - 5 -

21 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 F PERIODIC TEST III EXAM ( ) SUBJECT: SCIENCE (086) Chapter Chemical Reactions and Equations Acids, Bases and Salts Metals and Nonmetals Carbon and its compounds Periodic Classification of Elements Life Process Control and Coordination How do organisms reproduce? Heredity and Evolution Light - Reflection and Refraction VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (5 marks) Practical Based Questions * * 7(2) * Unit 25(8) 23(9) 4(2) 6(2) 6(2) 7(3) 12(4) * Effects of Current The Human Eye and the colourful world Electricity Magnetic Effects of Electric Current * Natural Resources Natural Phenomen a World of Living UNIT Chemical Substances Nature and Behaviour BLUE PRINT : CLASS X Our Environment Management of Natural Resources 13(4) 2(2) 6(3) 30(10) 8(2) - # 7(2) 7(2) 80(27) 80(27) -30(6) 12(6) Note: * - Internal Choice Questions of same chapter. # - Internal Choice Questions of two chapters Page - 1 -

22 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 F PERIODIC TEST III EXAM ( ) SUBJECT: SCIENCE CLASS : X General Instructions: MAX. MARKS : 80 DURATION : 3 HRS All questions are compulsory. The question paper comprises of two Sections, A and B. You are to attempt both the sections. All questions of Section-A and Section-B are to be attempted separately. There is an internal choice in three questions of three marks each and two question of five marks. Question number 1 to 2 in Section-A are one mark question. These are to be answered in one word or in one sentence. Question numbers 3 to 5 in Section-A are two marks questions. These are to be answered in about 30 words each. Question numbers 6 to 15 in Section-A are three marks questions. These are to be answered in about 50 words each. Question numbers 16 to 21 in Section-A are five marks questions. These are to be answered in about 70 words each. Question numbers 22 to 27 in Section-B are questions based on practical skills and are two marks questions. SECTION A 1. Name the tissue in animals which provides control and coordination to them. 2. When a cell reproduces, what happens to its DNA? 3. An object is placed at a distance of 30 cm from a concave lens of focal length 15 cm. List four characteristics (nature, position, etc.) of the image formed by the lens. 4. What is biodiversity? What will happen if biodiversity of an area is not preserved? Mention one effect of it. 5. The atomic radii of three elements A, B and C of a periodic table are 186 pm, 104 pm and 143 pm respectively. Giving a reason, arrange these elements in the increasing order of atomic number in the period. 6. Describe the structure and functioning of nephrons. Draw a diagram of human respiratory system and label on it: (a) Diaphragm (b) Larynx 7. A newspaper has recently published a survey result which says that number of AIDS patients in the country is increasing everyday. The report also says that awareness among people about AIDS is still very poor. You discussed the newspaper report with your friend and both of you decided to help people to fight against this deadly disease. (a) What problem do you anticipate if both of you try to educate the people of your village? (b) How will you overcome that problem? 8. (a) Name the unit of inheritance. What is its function? (b) How are inherited traits different from acquired traits? Give examples. 9. (a) Define genetics (b) Who is regarded as the Father of genetics? Name the plant on which he performed his experiments. (c) Why did he select that specific plant for his experimental studies? Page - 2 -

23 10. The resistance of a wire of length 250 m is 1 ohm. If the resistivity of the material of wire is 1.6 x 10 8 ohm meter, find the area of cross-section of the wire. How much does the resistance change if the diameter is doubled? 11. Two circular coils A and B of insulated wires are kept close to each other. Coil A is connected to a galvanometer while coil B is connected to a battery through a key. What will you observe in coil A, if (a) current is passed through coil B by plugging the key, (b) the current is stopped by removing the plug from the key? (c) both the coils are moved in the same direction with the same speed? Explain your answer mentioning the name of the phenomena involved. (a) One of the major cause of fire in office building is short circuiting. List three factors which may lead to the short circuit. (b) What is overloading? State the causes of overloading. 12. An atom has electronic configuration 2, 8, 2. (a) What is the atomic number of this element? (b) What is its valency? (c) To which of the following elements would it be chemically similar and why? Be (4), O(8), justify your answer. (Atomic number are given in brackets) 13. (a) Define absolute refractive index of a medium. (b) The radius of curvature of concave mirror is 50cm. Where should an object be placed from the mirror so as form its image at infinity? Justify your answer. 14. Name the type of chemical reaction represented by the following equation: (a) CaO + H2O Ca(OH)2 (b) 3BaCl2 + Al(SO4)3 2AlCl3 + 3BaSO4 Heat (c) 2FeSO4 Fe2O3 + SO2 + SO3 15. (a) Write the name given to bases that are highly soluble in water. Give an example. (b) How is tooth decay related to ph? How can it be prevented? (c) Why does bee sting cause pain and irritation? Rubbing of baking soda on the sting area gives relief. How? (a) Name the compound which is obtained from baking soda and is used to remove permanent hardness of water. (b) Write its chemical formula. (c) What happens when it is recrystallised from its aqueous solution? 16. (a) Write the name of the functional group in CH3COCH3. (b) An organic compound burns with a sooty flame. Is it saturated or unsaturated hydrocarbon? (c) Giving balanced equation state how you will convert methane to carbon dioxide. (d) Why does micelle formation take place when soap is added to water? Will a micelle be formed in all type of solvents? Justify your answer. (a) Differentiate between soap and detergent. (b) Explain why, soap from scum with hard water whereas detergents do not. 17. (a) Define activity series of metals. Arrange the metals gold, copper, iron and magnesium in order of their increase in reactivity. (b) What will you observe when: (i) Some zinc pieces are put in copper sulphate solution. (ii) Some silver pieces are put into green coloured ferrous sulphate solution. Page - 3 -

24 18. An old person finds it difficult to see nearby objects comfortably and distinctly without corrective eye glasses. (a) What defect of vision is he suffering from? What is it? (b) List two causes for the development of this defect. (c) What kind of lens will be required to see clearly the nearby as well as distant objects? Give reasons. (d) How is the eye defect of old person differing from near-sightedness and far-sightedness? 19. What is a reflex arc? Draw a neat labelled diagram of the components in a reflex arc. Why do impulses flow only in one direction in a reflex arc? 20. A non-biodegradable toxic chemical has entered into the food chain. Which type of food habit will you suggest to a man, vegetarian or non-vegetarian? Explain with the help of a food chain. The food chain which you would suggest, is advantageous in an another aspect. How? Explain the traditional water harvesting system with a suitable diagram. Write about the techniques of water harvesting. 21. Draw the pattern of magnetic field lines through and around a current carrying loop of wire. Mark the direction of (i) electric current in the loop (ii) magnetic field lines. How would the strength of magnetic field due to current, carrying loop be affected if(a) radius of the loop is reduced to half its original value? (b) strength of current through the loop is doubled? SECTION B 22. Draw a ray diagram to show the path of the refracted ray in each of the following cases: A ray of light incident on a concave lens is (i) passing through its optical centre. (ii) parallel to its principal axis. 23. Name the passage in sequence through which urine passes from kidneys to the outside in humans. How is urine prevented from flowing back into the ureters? 24. Carbon, Group (14) element in the Periodic Table, is known to form compounds with many elements. Write an example of a compound formed with (a) chlorine (Group 17 of Periodic Table) (b) oxygen (Group 16 of Periodic Table) 25. Label any four parts. Page - 4 -

25 26. What happens when chlorine is passed over slaked lime at 313K? Write chemical equation of the reaction involved and state two uses of the product obtained. 27. While performing the experiment to find equivalent resistance of a combination of resistance by making a circuit as shown below, Aditi measure reading of Voltmeter V which gives potential differences between P and Q. Find its reading An electric circuit consisting of a 1m long metallic wire AB, an ammeter, a voltmeter, 3 cells of 2V each and plug key was set up. Draw a diagram of this electric circuit in the ON position. Page - 5 -

26 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 03 F PERIODIC TEST III EXAM ( ) SUBJECT: SCIENCE (086) Chapter Chemical Reactions and Equations Acids, Bases and Salts Metals and Nonmetals Carbon and its compounds Periodic Classification of Elements Life Process Control and Coordination How do organisms reproduce? Heredity and Evolution Light - Reflection and Refraction VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (5 marks) Practical Based Questions * * 7(2) * Unit 25(8) 23(9) 4(2) 6(2) 6(2) 7(3) 12(4) * Effects of Current The Human Eye and the colourful world Electricity Magnetic Effects of Electric Current * Natural Resources Natural Phenomen a World of Living UNIT Chemical Substances Nature and Behaviour BLUE PRINT : CLASS X Our Environment Management of Natural Resources 13(4) 2(2) 6(3) 30(10) 8(2) - # 7(2) 7(2) 80(27) 80(27) -30(6) 12(6) Note: * - Internal Choice Questions of same chapter. # - Internal Choice Questions of two chapters Page - 1 -

27 KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 03 F PERIODIC TEST III EXAM ( ) SUBJECT: SCIENCE CLASS : X General Instructions: MAX. MARKS : 80 DURATION : 3 HRS All questions are compulsory. The question paper comprises of two Sections, A and B. You are to attempt both the sections. All questions of Section-A and Section-B are to be attempted separately. There is an internal choice in three questions of three marks each and two question of five marks. Question number 1 to 2 in Section-A are one mark question. These are to be answered in one word or in one sentence. Question numbers 3 to 5 in Section-A are two marks questions. These are to be answered in about 30 words each. Question numbers 6 to 15 in Section-A are three marks questions. These are to be answered in about 50 words each. Question numbers 16 to 21 in Section-A are five marks questions. These are to be answered in about 70 words each. Question numbers 22 to 27 in Section-B are questions based on practical skills and are two marks questions. SECTION A 1. Name the part of the neuron: (i) where information is acquired (ii) through which information travels. 2. List two functions performed by the testis in human beings. 3. List four characteristics of the images formed by plane mirrors. 4. Why we say energy flow in the biosphere is unidirectional? 5. An element M has atomic number 11. (a) Write its electronic configuration. (b) State the group to which M belongs. (c) Is M a metal or a non-metal? (d) Write the formula of its chloride. 6. Write the balanced equations for the following reactions and identify the type of reaction in each case: (a) Silver Nitrate (aq) + Potassium iodide (aq) Silver iodide (s) + Potassium Nitrate (aq) (b) Potassium Chlorate (s) Potassium chloride (s) + Oxygen (g) 7. How many groups and periods are there in the modern periodic table? How do the atomic size and metallic character of elements vary as we move : (a) down a group and (b) from left to right in a period 8. Name any three glands associated with digestion in humans. Write the names of enzymes secreted by them. Write three points of difference anaerobic respiration and aerobic respiration. 9. Explain budding in hydra with the help of labelled diagrams only. 10. How are fossils formed? Describe, in brief two methods of determining the age of fossils. Page - 2 -

28 11. To construct a ray diagram we use two rays of light which are so chosen that it is easy to determine their directions after reflection from the mirror. Choose these two rays and state the path of these rays after reflection from a concave mirror. Use these two rays to find the nature and position of the image of an object placed at a distance of 15 cm from a concave mirror of focal length 10 cm. 12. Which three chemical substances are obtained when electricity is passed through an aqueous solution of brine? Write one industrial use of each. (a) Name the compound which is obtained from baking soda and is used to remove permanent hardness of water. (b) Write its chemical formula. (c) What happens when it is recrystallised from its aqueous solution? 13. (a) Explain with a reason whether the field will be stronger at the centre of current carrying loop or near the circumference of the loop. (b) Magnetic field lines are shown in the given diagram. A student makes a statement that magnetic field at X is stronger than at Y. Justify this statement. Also redraw the diagram and mark the direction of magnetic field lines. (a) Explain, why fuse wire is made of a tin-lead alloy and not copper? (b) A domestic circuit has 5A fuse. How many bulbs of rating 100W, 220V can be safely used in this circuit? Justify your answer. 14. (a) Define electric power. State its unit. Also derive formula of power P = V x I (b) Which will have higher resistance: a 50 W lamp bulb or a 25 W lamp bulb and by how many times? 15. (i) Planaria, insects, octopus and vertebrates all have eyes. Can we group eyes of these animals together to establish a common evolutionary origin? Justify your answer. (ii) "Birds have evolved from reptiles" State evidence to prove the statement. 16. How is the method of extraction of metals high up in the reactivity series different from that for metals in the middle? Why the same process cannot be applied for them? Explain giving equations, the extraction of sodium. 17. Describe the activity with labelled diagram to show that a magnetic field is generated around a current carrying conductor. On the basis of above mentioned activity, list the factors on which magnitude of magnetic field produced at a point depends and also explain the nature of this dependence. Page - 3 -

29 18. Two children went to the park with their grandfather. On reaching the park, the children joined others to play, while their grandfather after taking 3 rounds of the park, sat on the chair, took out newspaper from his bag and began to read with the help of his spectacle. After sometime, he realised that was too long to see the children, he looked around, but though he has worn spectacle, he couldn t see anything. He then realised that he had forgotten his other spectacle, which he used to see the faraway places, were left at home. He began calling them by their names, but due to the large distance, his voice was not reaching the children. Another man sitting beside him realised the problem and helped him to reach the children. (a) Name the eye defect with which the grandfather was suffering from? (b) Which type of spectacles should he wear, so as to avoid calling the other? (c) Explain the cause of disease. (d) What are the values shown by man, sitting next to the grandfather? (e) Explain with the diagram. 19. (a) Draw neat diagram of human brain and label on it the following parts: (i) Midbrain (ii) Pituitary gland (b) How is brain protected from injury and shock? 20. A carbon compound X turns blue litmus to red and has a molecular formula C2H4O2. Identify X and draw its structure. Write chemical equation for the reaction and name of the product formed in each case when X reacts with (a) ethanol in the presence of conc. H2SO4 (b) sodium carbonate. (a) What are hydrocarbons? Give examples. (b) Give the structural differences between saturated hydrocarbons and unsaturated hydrocarbons with two examples each. (c) What is a functional group? Give examples of two different functional groups. 21. (a) What is meant by food chain? The number of trophic levels in a food chain is limited. Give reason to justify this statement. (b) Energy flow in food chains is always unidirectional. Justify this statement. Explain how the pesticides enter a food chain and subsequently get into our body. (a) What is water harvesting? Mention any two water harvesting structures. (b) What is a dam? Write two main advantages and two ill-effects of constructing a big dam. SECTION B 22. Aditi observed the temporary mount of a leaf peel under a compound microscope and found one part as an elliptical pore and the other kidney shaped. Name these parts. 23. To find the image-distance for varying object-distances in case of a convex lens, a student obtains on a screen a sharp image of a bright object placed very far from the lens. After that he gradually moves the object towards the lens and each time focuses its image of the screen. 1. In which direction towards or away from the lens, does he move the screen to focus the object? 2. What happens to the size of image does it increase or decrease? 3. What happen when he moves the object very close to the lens? Page - 4 -

30 24. Name the type of asexual reproduction in which two individuals are formed from a single parent and the parental identity is lost. Draw the initial and the final stages of this type of reproduction. State the event with which this reproduction starts. 25. List two observations which you make when you add a pinch of sodium hydrogen carbonate to acetic acid in a test tube. Write chemical equation for the reaction that occurs. 26. Write the name and molecular formula of an organic compound having its name suffixed with ol and having two carbon atoms in the molecule. With the help of a balanced chemical equation indicate what happens when it is heated with excess of conc. H2SO State four factors that affect resistance. Study the following circuit and answer the questions that follow : (a) State the type of combination of the two resistors in the circuit. (b) What will be the potential difference across the above combination if applied potential in 6V? Page - 5 -