KNOWLEDGE IS POWER

10/7/14

TRIGONOMETRY X CBSE

Algebra class x cbse mathematics

NAVODAYA VIDYALAYA SAMITI,

CLASS-X PRACTICE PAPER SA-1 (Algebra) SUB:-MATHEMATICS

FULL MARKS-90 TIME-3 Hours

SECTION-A [1×4=4]

In the given figure the graph of polynomial p(x) is shown. The number of zeroes of p(x) is ____.

If the two zeroes of a quadratic polynomial 7x² – 15x – k are reciprocals of

each other, then find the value of k.

If the lines given by 3x + 2ky = 2 and 2x + 5y +1 = 0 are parallel, then find the value of k.

If a pair of equations x + y = √2 and x sin θ + y cos θ = 1 are consistent and dependent, then find the value of θ.

SECTION-B [2×6=12]

Check whether x² + 3x + 1 is a factor of 3x4 + 5x3 – 7x2 + 2x + 2.

If α and β are the zeroes of the quadratic polynomial p(x) = x² – (k – 6)x + (2k + 1). Find the value of k, if α + β = αβ.

If 2 and – 3 are the zeroes of the quadratic polynomial x² + (a + 1)x + b, then find the values of a and b.

Solve: 99x + 101y = 499, 101x + 99y = 501

For what value of k, the following system of linear equations has no solution?

3x + y =1; (2k ‒ 1)x + (k ‒ 1)y = 2k + 1

If 2x + y = 23 and 4x ‒ y = 19, find the value of 5y ‒ 2x.

SECTION-C [3×10=30]

If one of the zero of the quadratic polynomial 2x² + px + 4 is 2, find the other zero. Also find the value of p.

Find the zeroes of 3√2 x² + 13 x + 6√2 and verify the relationship between the zeroes and coefficients of the polynomial.

On dividing x3 ‒ 3x² + x + 2 by a polynomial g(x), the quotient and the remainder were x ‒ 2 and

‒ 2x + 4 respectively. Find g(x).

Form a quadratic polynomial whose one of the zeroes is (‒ 15) and product of the zeroes is (‒855).

Find the values of a and b for which the system of linear equations has infinite number of solutions:

(a + b)x ‒ 2by = 5a + 2b + 1; 3x ‒ y = 14

Solve the following system of linear equations graphically and find the points where these lines intersect the Y-axis: x ‒ 2y = 2; 3x + 5y = 17.

Solve for x and y: 3/y + 4/x = 10/xy ; 2/y ‒ 2/x = 2/xy

Nine times a two-digit number is the same as twice the number obtained by interchanging the digits of the number. If one digit of the number exceeds the other digit by 7, find the number.

Solve for x and y:`xy/(x+y) = 6/5 ; xy/(y-x) = 6, where x + y ≠ 0 and y ‒ x ≠ 0.

Four years ago, a father was six times as old as his son. Ten years later, the father will be two and a half times as old as his son. Determine the present ages of the father and the son.

SECTION-D [4×11=44]

Find all the zeroes of the polynomial 2x4 + 7x3 ‒ 19x² ‒ 14x + 30, if two of its zeroes are √2 and ‒√2.

Find all the zeroes of the polynomial p(x) = 2x3 + 3x² ‒ 11x ‒ 6, if one of its zeroes is ‒3.

If the polynomial x4 ‒ 6x3 + 16x² ‒ 25x + 10 is divided by another polynomial x² ‒ 2x + k, the remainder comes out to be x + a. Find the values of k and a.

Given that the zeroes of the cubic polynomial x3 ‒ 6x² + 3x + 10 are of the form a, a+b, a+2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.

If 1 and ‒1 are the zeroes of the polynomial Lx4 + Mx3 + Nx² + Rx + P, show that L + N + P = M + R =0.

A boat goes 64 km upstream and 72 km downstream in 14 hours. It goes 80 km upstream and

96 km downstream in 18 hours. Find the speed of the boat in still water and the speed of the steam.

5 books and 7 pens together cost Rs 285. 4 books and 4 pens together cost Rs220. Mona purchased 3 books and 5 pens and calculated total cost to be Rs 195. He paid Rs 195 to the shopkeeper. Shopkeeper rechecked and returned some money to Mona.

How much money did shopkeeper return to Mona?

What value is depicted by the shopkeeper?

Determine graphically, the coordinates of the vertices of a triangle whose sides are graphs of the equations 2x – 3y + 6 = 0; 2x + 3y – 18 = 0 and y – 2 = 0. Also find the area of this triangle.

Solve for x and y: (a – b)x + (a + b)y = a² − 2ab – b²

(a + b)(x + y) = a² + b²

Solve the following system of equations by using the method of cross-multiplication.

2x + y = 35 and 3x + 4y = 65

Solve for x and y: 6x + 3y = 8x + 9y – 5 = 10x + 12y – 8

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8/11/14

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PHONE LIST OF NILAGIRI JUNIORS

	JAWAHAR NAVODAY VIDYALAYA NILAGIRI B HOUSE HOTHPET (KARANATAKA)
	LIST OF INMATES WITH MOBILE NUMBER
SL NO	CLASS	NAME OF THE INMATES	NATIVE PLACE	GUARDIAN NAME	MOBILE NO	REMARKS
1	VI	AMAN	GULBARGA	ASHOKA	961152573
2	VI	AMARESH	DEVAPUR
3	VI	CHANDRASHEKAR	GIDDALMARI TANDA	GOPANNA	9901110126
4	VI	MAHESH	JAPANAYAK TANDA	RAJU RATHOD	9972387272
5	VI	NINGAREDDY	PARASANALLI	GIRANAGOUDA	9845847681
6	VI	PRAJWAL	RUKMAPUR	SHANKARAPPA	9880561774
7	VI	RAHUL	GULBARGA	BHIMARAYA	9972782744
8	VI	SASIKANTH	DEVAR GONAL	HANAMANTARAYA	9902368962
9	VI	UDAY	CHANDARKI	HULAGAPPA	9845452714
10	VI	VEERESH	KEMBHAVI	TIPPANNA	9741739353
11	VI	VIKAS	KODEKAL	MALLIKARJUN	9900571946
12	VII	LAKSHMANA NAYAK	YADIYAPUR	RANGAPPA NAYAK	9902565409
13	VII	MAHANTESH	MARNAL	NINGANNA	9900469872
14	VII	MANJUNATH	SHAHAPUR	VENKOBA PATIL	9880170949
15	VII	MOUNESH	TALLALLI	MALLANNA	9972445110
16	VII	SABAYYA	KANCHAGARA HALLI	TIMMAYYA	9844839083
17	VII	SAKHIB HUSSAIN	GURUMITKAL	ZAKIR HUSSAIN	9945569182
18	VII	PRAJWALA	SHAHAPUR	MALLAPPA	9901688015
19	VII	SHANKAREDDY	GURMITKAL	PRATAPREDDY	9844457854
20	VII	VISHAL	YADGIR	SANGANAGOUDA	9972581362
21	VII	VENKATESH	SHORAPUR	HANAMANTH	9611987959
22	VII	VIKAS	SHAHAPUR	DUNDAPPA	9902717089
23	VII	TUKARAM	DORANAHALLI TANDA	KHANDAPPA	9741803182
24	VII	SURESH NAYAK	KEMBHAVI	TIPPANNA	9741739353
25	VII	SANTOSH	GANGUNAIK TANDA	JAIRAM	9880171488
26	VIII	AKASH S.C	KOLIHALTANDA	SANGAPPA	9902612306
27	VIII	ANIL N.R	YARAKIHAL TANDA	NARAYAN	9632419004
28	VIII	ARUN C R	KIRADAHALLI TANDA	CHANDRASHEKAR	9900446929
29	VIII	ARUN G T	SHORAPUR	GOVINDA	9900634738
30	VIII	BHIMASHANKAR	ANAKASUGUR	HANAMANTAH	8971987950
31	VIII	BHODISATWA	YADGIR	BABURAO	9449625158
32	VIII	MADHUKUMAR	SEDAM	SUBHAS	9480647615
33	VIII	PAVANA.G.C	GOGI TANDA	GANESH	9008607059
34	VIII	RAGHVENDRA	SHAHAPUR	CHANDRAREDY	9448449726
35	VIII	SAGAR.G	SHAHAPUR	JAGADISH	9481636575
36	VIII	SHARANABASAV	BALABATTI	BHIMANNA	9901099919
37	VIII	TIMMANNA	BAILAKUNTI	KASHAPPA	8150925541

8/10/14

FORMATIVE ASSEMENT FIRST 2014

JAWAHAR NAVODAYA VIDYALAYA YADGIRI

RESULT : FA-1 (JULY-2014)

Class : 10th A&B Class Teacher : GSRM/TG

Sl.No. Reg.No. House Name of Students Eng Hin Kan Maths Sci S.S. Total Per GRADE Rank

Maximum Marks 80 80 80 80 80 80 480

1 1001 A Abhijeet T 79 77 73 77 75 80 461 96.04 A1 1

2 1002 A Akash Kumar B Y 76 74 74 77 76 78 455 94.79 A1 3

3 1003 U Ambresh S P 68 72 70 50 47 63 370 77.08 B1 42

4 1004 N Anita S R 66 67 67 69 52 70 391 81.46 A2 24

5 1005 A Basvaraj M H 66 65 64 76 49 61 381 79.38 B1 31

6 1006 S Bhagyashree R M 73 76 72 74 59 80 434 90.42 A2 7

7 1007 U Chetankumar S G 50 52 58 37 32 48 277 57.71 C1 81

8 1008 U D K Siddhartkumar 72 66 74 78 73 74 437 91.04 A1 5

9 1009 A Hulagamma P A 51 44 49 35 27 47 253 52.71 C1 82

10 1010 U Kashinathgouda R P 65 72 69 57 52 61 376 78.33 B1 37

11 1011 A Krishnasagar B P 71 68 68 76 61 73 417 86.88 A2 14

12 1012 U M.Noorunnisa Begum 76 75 71 68 66 80 436 90.83 A2 6

13 1013 U Mamata G J 68 75 72 67 63 76 421 87.71 A2 12

14 1014 S Mouneshwar K B 66 63 62 68 50 58 367 76.46 B1 45

15 1015 N Nagaraj R M 71 71 67 74 74 70 427 88.96 A2 9

16 1016 N Nikhita H.S 67 73 57 66 41 49 353 73.54 B1 52

17 1017 N Pavankumar C.J 52 60 64 54 34 49 313 65.21 B2 67

18 1018 A Pavankumar K.J 65 66 68 58 29 52 338 70.42 B2 59

19 1019 U Pooja S B 65 74 74 73 56 66 408 85.00 A2 18

20 1020 A Prajwal R D 69 68 65 73 47 54 376 78.33 B1 37

21 1021 S Praveenkumar S S 65 70 67 69 36 55 362 75.42 B1 49

22 1022 N Raghavendra R M 46 57 63 62 32 53 313 65.21 B2 67

23 1023 A Ramangouda V P 60 70 63 60 25 48 326 67.92 B2 63

24 1024 U Sachinkumar M M 65 77 68 61 34 60 365 76.04 B1 47

25 1025 N Sangamesh B M 60 66 66 66 40 50 348 72.50 B1 54

26 1026 N Sanjay G P 70 53 70 74 56 75 398 82.92 A2 22

27 1027 S Santosh D P 44 54 67 51 22 48 286 59.58 C1 77

28 1028 A Sarfaraj Nawaaz 53 66 63 43 20 45 290 60.42 C1 76

29 1029 S Shweta C.I 67 70 73 75 65 74 424 88.33 A2 10

30 1030 A Spoorti C D 65 70 66 68 58 59 386 80.42 B1 30

31 1031 U Shrinivas M C 72 63 67 66 57 51 376 78.33 B1 37

32 1032 U Sudha R B 65 73 73 70 47 76 404 84.17 A2 19

33 1033 U Sudha S.K 62 73 64 75 71 69 414 86.25 A2 15

34 1034 N Sushma N P 77 75 72 67 74 80 445 92.71 A1 4

35 1035 N Suvarna D G 54 67 65 53 24 49 312 65.00 B2 70

36 1036 N Vaibhav 61 61 52 60 36 48 318 66.25 B2 65

37 1037 N Vedashree V T 60 72 67 57 36 56 348 72.50 B1 54

38 1038 N Veerannagouda C B 67 74 65 64 36 62 368 76.67 B1 44

39 1039 S Vijayakumar D S 66 66 70 70 33 66 371 77.29 B1 41

40 1040 S Vikram C R 73 76 69 67 68 76 429 89.38 A2 8

41 1041 U Vishwanath S R 65 69 72 68 48 66 388 80.83 B1 26

42 1051 U Akash T R 52 56 57 58 41 49 313 65.21 B2 67

43 1052 A Akash T Rathod 63 73 69 74 70 75 424 88.33 A2 10

44 1053 N Basamma N B 68 75 70 77 56 49 395 82.29 A2 23

45 1054 N Bhemasen M P 61 64 69 58 34 50 336 70.00 B2 60

46 1055 A Deepa S B 57 58 62 48 20 48 293 61.04 B2 75

47 1056 S Godavari N R 61 61 56 46 27 49 300 62.50 B2 74

48 1057 N Kirankumar V A 66 62 71 71 52 58 380 79.17 B1 33

49 1058 A Krishnakant S K 60 71 66 61 57 63 378 78.75 B1 35

50 1059 A Krishnakumar S M 67 61 66 68 44 50 356 74.17 B1 51

51 1060 N Krutika S P 78 78 72 76 75 80 459 95.63 A1 2

52 1061 A Mahesh S A 51 59 67 56 28 48 309 64.38 B2 71

53 1062 U Mallappa B S 63 68 64 63 42 52 352 73.33 B1 53

54 1063 A Mamata BB 56 54 56 48 20 49 283 58.96 C1 78

55 1064 S Md. Harshad C M 63 54 57 70 63 52 359 74.79 B1 50

56 1065 S Omkar B M 70 63 61 74 67 78 413 86.04 A2 16

57 1066 S PavanKumar N A 63 72 68 53 36 47 339 70.63 B2 58

58 1067 A Pooja B P 68 67 72 77 61 67 412 85.83 A2 17

59 1068 A Poornima S M 54 71 62 52 20 49 308 64.17 B2 72

60 1069 A Prabhudev M K 70 67 65 64 50 47 363 75.63 B1 48

61 1070 S Priyanka N M 68 67 74 76 67 66 418 87.08 A2 13

62 1071 A Rajeshwari L N 41 47 62 49 33 49 281 58.54 C1 79

63 1072 U Rashmi V K 64 74 71 61 39 69 378 78.75 B1 35

64 1073 U Sandesh D G 64 65 66 62 34 56 347 72.29 B1 56

65 1074 S Santosh A R 68 68 67 60 51 55 369 76.88 B1 43

66 1075 N Santosh S R 66 64 68 61 37 50 346 72.08 B1 57

67 1076 S Satishreddy P K 67 47 61 50 34 49 308 64.17 B2 72

68 1077 S Sharanappa B S 66 61 68 70 49 66 380 79.17 B1 33

69 1078 N Shivanand L C 68 74 72 63 51 71 399 83.13 A2 21

70 1079 N Shivanand R B 66 60 62 54 29 60 331 68.96 B2 61

71 1080 S Shivaputra S N 57 40 61 33 33 55 279 58.13 C1 80

72 1081 N Shivashekhar S K 62 62 61 52 33 51 321 66.88 B2 64

73 1082 U Shreelata S P 65 67 73 76 45 62 388 80.83 B1 26

74 1083 S Soniya T K 64 71 71 56 51 59 372 77.50 B1 40

75 1084 A Sushma N D 71 67 72 62 54 62 388 80.83 B1 26

76 1085 N Varsha G H 64 60 73 55 27 50 329 68.54 B2 62

77 1086 A Venkatesh N B 63 55 61 71 59 72 381 79.38 B1 31

78 1087 S Vijayalakshmi B B 76 69 72 56 47 80 400 83.33 A2 20

79 1088 A Vilas S K 59 68 65 60 48 67 367 76.46 B1 45

80 1089 S Vinodkumar S G 65 56 60 47 41 48 317 66.04 B2 66

81 1090 U Vishal A D 74 59 58 69 53 74 387 80.63 B1 29

82 1091 U Yshodha H K 68 73 66 61 49 73 390 81.25 A2 25

Total 5270 5388 5434 5151 3808 4959 Classwise 6252.08 CONGRATULATIONS

SUB AVG: 80.34 82.13 82.84 78.52 58.05 75.59 76.24

Below 33 (26) 0 0 0 0 7 0 0

34-59 (27-47) 3 4 0 6 35 4 5

60-74 (48-59) 12 12 9 21 23 38 26

75-89 (60-71) 56 43 55 36 11 21 43

90 & Above (72) 11 23 18 19 6 19 8

No.of Candidates Appeared 82 82 82 82 82 82 82

PASS % 100.00 100.00 100.00 100.00 90.91 100.00 100.00

JAWAHAR NAVODAYA VIDYALAYA, HOTHPET, YADGIRI

CLASS-VI FA-I EXAM 2014

Time: 1:30Hrs SUBJECT-MATHS MAX.MARKS-50

1) common factor of 16 and 24?

a) 8 b) 16 c) 24 d) 384

2) How many lines can pass through one point?

a) Two b) one c) many d) MULTIPLE CHOICE QUESTIONS ( 1x5=5)

1) How many prime numbers are in between 1 to 10?

a) 1 b) 3 c)5 d)4

What is the highest we cannot say

2) The smallest prime number is............

a) 5 b) 1 c) 3 d) 2

3) The largest 4-digits number is.......................

a) a)5 b) 1 c) 3 d) 2

QUESTIONS OF TWO MARKS EACH

4) Write 144 in roman numerals.

5) Simplify:

6) Radha buys 100 kg of sugar and paid Rs 5000 then find the rate of sugar per kg of sugar.

7) Write the simple Interest formula with their usual notation.

8) Find the side of a square whose area is 324 square units.

9) Which is greater

10) Find the height of triangle whose area30cm²and having its base 10cm.

QUESTIONS OF THREE MARKS EACH

11) Find the perimeter of rectangular garden having its length400mt and breadth 300mt

12) Find the H.C.F and L.C.M of 560, 700, 420.

13) Give the expression for the following cases

a) 7 added to p.

b) 7 subtracted from p.

c) P divided by 7 .

14) Raju purchases 10 pens for Rupees and sold it at the rate of 12 Rupees obtain the profit percentage or loss percentage.

+ 5

15)

Simplify:

1 + 3

QUESTIONS OF FOUR MARKS EACH

16) There is rectangular hall of length 1200 mt. and width 400 mt. the tiles of side 50 mt,. by 40 mt. has to be arranged so has to cover the flour how many sub tiles are needed

17) Distribute an amount of Rupees 30000 to champa, shilpa, and Roopa in the ratio of 2:1:3

18) Find the perimeter of rectangular garden having its length400mt and breadth 300mt

19) Match the following

A B

1. Circle a)

2. Square b)

3. Parellal lines c)

4. Triangle d)

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