Question

(29) The radius and the height of a cone are 21 cm and 20 cm respectively. Find the total

surface area of the cone.

(30) The volume of a sphere is 38808 cm3

. Find its diameter.

(31) If the ratio of radius and the slant height of a cone is 1 : 2 and its curved surface area is

308 cm2

, find the radius of the cone.

(32) The median of the observations arranged in the ascending order as 26, 51, 52, x, x+4, 68,

82, 96 is 62. Then, find the value of x.

(33) The mean of 10 observations is 25.6. Including one new observation, the mean of all the

observations together is 26. Find the newly included observation.

(34) Find the median of the observations 18, 37, 24, 59, 41, 56, 63, 45, 57, 29.

(35) In ΔABC, if ∠ − ∠ = 60° ∠ − ∠ = 30° , then find all the angles of ΔABC.

(36) In parallelogram PQRS, ∠ = ∠ + 20° . Find ∠.

SECTION : C

Answer the following with calculation. (Any 6) (q. no. 37 to 45) (3 marks each) (18)

(37) Prove that (2ab + 3c)2 – (2ab – 3c)2

-24abc = 0

(38) Simplify : (x2 + y2

)(x + y)(x – y) + y4

(39) The area of a trapezium is 400 cm2

and the length of the parallel sides is 13 cm and 27 cm.

Find the perpendicular distance between parallel sides.

(40) The internal measures of a cuboid room are 8 × 6 × 5. Find the cost of painting all

walls at the rate of ₹ 50 per m2

.

(41) 2 m long road roller covers 17.6 m distance during one revolution. Find its curved surface

Area.

(42) Simplify : (a-2

)

-4 ÷ (a3

)

2 / a

10 ÷ a8

(43) 8 masons can build a wall in 9 days. In how many days can 12 masons build the same wall.

(44) The cost of 23 chairs is ₹ 7475. How many such chairs can be bought for ₹ 34,125 ?

(45) Factorise : 16 – 9x2 + 12xy – 4y2

SECTION – D

Answer the following with calculation. (Any 5) (q.no. 46 to 53) (4 marks each) (20)

(47) Plot the following points on a graph sheet. Verify if they lie on a line : P(5, 0) , Q(5, 1) ,

R(5, 2), S(5, 3) ,T(5, 4) ,U(5, 5)

(46) From the data given below, draw a linear graph showing the relationship between the

number of avocados and the cost of avocado. ( Scale : 1 cm = ₹ 50 )

Number of avocados 1 2 3 4 5

Cost (In ₹) 100 200 300 400 500

(47) Divide : (a) (x2 – 4x -32 ) by (x – 8) (b) 36abc(2a-4)(3b+9) by 216 abc (b+3)(a-2)

(48) Factorise : 36x2 – 12x + 1 – a

2b

2 – 2abc – c

2

(49) A suitcase with measures 50 × 40 × 40 is to be covered with a tarpaulin

cloth. How much metres of tarpaulin cloth of width 40 cm is required to cover a suitcase?

(50) The lateral surface area of a hollow cylinder is 5000 cm2

. It is cut along its height and

formed a rectangular sheet of width 50 cm. Find the perimeter of rectangular sheet.

(51) Expand using identity : (a) (2x+5)(2x-3) (b) (3x – 5y)2

(52) Find the value using identity : (a) 1.2 × 1.6 (b) (97)2

(53) Find the area and perimeter of a semi-circle having radius 14 cm..​

Answer 1

Answer:

refer to the given attachment..

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Answer 2

Answer:

29:- 3300 cm ^2

30:- D = 42.01 cm

31:- R = 7 cm

32:- 64

33:- 30

34:- 34

35:- 70°

36:- 100°

39:- H = 200000 cm

40:- Rs 1280

41:- 35.2 m

43:- 6

44:- 8

48:- On the picture

49:- 280 cm

50:- 33 cm

52:- a) 1.92 , b) 194

53:- A = 615.75

37,38,42,45,46,47,51 Answers I do not know

Step-by-step explanation:

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