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38. February 14 is celebrated as International Book Giving Day and many countries in the

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37. While playing in a garden, Samaira saw a honeycomb and asked her honey bees to

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36. In a park, four poles are standing at positions A, B, C and D around the circular fountain

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35 ii. (ii) Evaluate : cos 45/(sec 30+ cosec 30)

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35 b. If x sin3 + y cos3 = sin cos and x sin = y cos , prove that x2 + y2 = 1.

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35 a. Prove that : root sec^2thetha + cosec^2 thetha = tan thatha + cot thetha

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34.A survey regarding the heights (in cm) of 50 girls of class X of a school was conducted

02:50

33. As observed from the top of a lighthouse, 100 m above sea level, the angle of depressio

06:21

32 b A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere of same

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32a. (a) A tent is in the shape of a right circular cylinder up to a height of 3 m and then a righ

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31 b. If a chord of a circle of radius 10 cm subtends an angle of 60 at the centre of the

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31 a. Find the area of the minor and the major sectors of a circle with radius 6 cm, if the angle

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30. Draw the graph of the following equations : x + y = 5, x (i) (ii) find the solution of the

03:05

29 b. How many numbers lie between 10 and 300, which when divided by 4 leave a remainder

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29a. Find the sum of all integers between 50 and 500, which are

04:15

27. Two water taps together can fill a tank in 3(1/3) hours.

02:07

26.The age of the father is twice the sum of the ages of his two children. After 20 years, his

02:47

25. Find the ratio in which the point ( 1, k) divides the line segment joining

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24. A circle is touching the side BC of a ABC at the point P and touching AB and AC produced at

02:16

23 b. Prove that A(4, 3), B(6, 4), C(5, 6), D(3, 5) are the vertices of a square ABCD.

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23 a. Show that the points ( 3, 3), (3, 3) and (-3root3, 3root3) are the vertices of an equilateral

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22. In the figure, E is a point on side CB produced of an isosceles triangle ABC with AB = AC.

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21 b. (b) Check whether 6^n can end with the digit 0 for any natural number n.

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21. (a) If root2 is given as an irrational number, then prove that 5-2root2 is an irrational number

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20. Assertion (A) : A fair die is thrown once. The probability of getting a prime number is

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19. Assertion (A) : Two players, Sania and Ashnam play a tennis match. The probability of Sania

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18. A number is chosen from the numbers 1, 2, 3 and denoted as x, and a number is chosen from the

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17. Lali tosses two different coins simultaneously. The probability that she gets at most one head

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16. If a bicycle wheel makes 5000 revolutions in moving 11 km, then the diameter of the wheel is :

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15. The length of the tangent drawn from a point P, whose distance from the centre of a circle is

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14. In the figure, PA and PB are two tangents to the circle with centre O such that APB = 50

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OACB is a quadrant of a circle with centre O and radius 7 cm where ACB is the arc. Then the

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12. Using empirical relationship, the mode of a distribution whose mean is

01:28

11. A vertical pole 10 m long casts a shadow of length 5 m on the ground. At the

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10. In the given figure, DE ||BC and all measurements are given in centimetres. The length of AE i:

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9. The height of a tower is 20 m. The length of its shadow made on the level , is :

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8. If x, 2x + 9, 4x + 3 are three consecutive terms of an A.P., then the value of x is :

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7. The coordinates of the point A, where AB is the diameter of the circle whose centre is

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6. cot2thetha-1/sin2thetha is equal to

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5. The zeroes of the polynomial 3x2 + 11x 4 are :

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4. The condition for which the pair of equations ax + 2y = 7 and 3x + by = 16 represent

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3. In a family of two children, the probability of having at least one girl is :

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2. The distance of the point (4,7) from the x axis is

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1. The values of k for which the equation 4x2+kx+9 has real and equal roots

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Question 15. Propose a plan to use less water in your school. What steps would you take to

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14. Fill up the blanks using the following terms— (fossil fuels, forest, air, petroleum, coal,

01:38

Question 13. A family uses solar panels to generate electricity, a gas stove to cook food and a

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Question 12. Explain two ways in which human activities pollute the air. Propose one action

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Question 11. Cutting down trees on a large scale impacts the quality of the soil. Why do you think

01:19

Question 10. In the given illustration, we see that food is being cooked. Answer the

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Question 9. How can you contribute towards enhancing the green cover of your locality?

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Question 8. List four activities that are possible due to the presence of air.

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Question 7.Make a list of five daily activities in which you use natural resources.

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Question 6.It is difficult to regrow forests. Justify this statement.

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Question 5. Why do we say that petroleum is a non-renewable resource?

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4. Classify the following as renewable or non-renewable resources—coal, natural gas, forests

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3. Fill in the blanks using the most appropriate option— (i) A fuel that is commonly used in two

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2. State whether the following statements are True [T] or False [F]. If False, correct them. (i)

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1. Fig. 11.9 shows items related to natural resources. Match them with their jumbled up names.

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18. Assertion (A) : Silicon is preferred over germanium for making semiconductor devices.