Class 10th Grade CBSE Mathematics Question and Answers, Question Paper, Sample Question Paper 2012 2013 Exam CBSE SiteMap

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Class 10th Grade CBSE Mathematics Question and Answers

Class 10th Grade CBSE Mathematics Question and Answers



Sample Paper – 2013
Class – X
Subject –
Mathematics
SECTION – A

  1. If n is any natural number then  always end with.
  2. If two positive numbers a & b are written as a=x3y2 & b=xy3, x,y are prime numbers then the H.C.F. (a, b) is.
  3. A polynomial of degree n has (i) only one zero (ii) exactly n zeros (iii) almost n zeros (iv) more than n zeros.
  4. If  & a+c=b, then one of the zeros is  (i) b/a(ii)c/a(iii)-c/a(iv)-b/a.
  5. If the pair of equations x+y= &  has infinitely many solutions, then Ө (i) 300(ii) 450  (iii) 600 (iv) 900.
  6. The equations ax+by+c=0 & dx+ey+c=0 represent the same straight line if  (i) ad=be (ii) ac=bd(iii) bc=ad (iv) ab=de.
  7. If 6x=secӨ and   then find the value of
  8. If  is the mean of a distribution, then is equal to (i) 0 (ii) mean (iii) sum of observations (iv) none
  9. Express ‘x’ in terms of a, b, & c.
  10. If in two triangles ABC & PQR   then (i) (ii)  (iii)   (iv)
  11. If  Ө is an acute angle, then  (i) 2 (ii) 3 (iii) 4 (iv) 8.
  12. The mean & median of 100 items are 50 & 52 respectively. The value of the largest item is 100. It was later found that it is 110 not 100. The true mean & median are (i) 50, 10, 52 (ii) 50, 52(iii) 50, 20, 52 (iv) none .

SECTION - B

  1. Find the greatest 6-digit number which is completely divisible by 30, 40 & 50   [999600]
  1. If the zeros of quadratic polynomial are equal then (i) c & a have opposite sign. (ii) c & b have opposite sign.  (iii) c & a have same sign.   (iv) c & b have same sign.
  2. Solve for x & y : ax+by=a-b ; bx-ay=a+b
  3. Without using trigonometric tables, evaluate then show that
  4. In  ABC, P & Q are the points on sides AB & AC & AP : PB = 1 : 2. find .
  5. In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite to the first side is a right angle.
  6. A’s present age to the B’s present age is 7 : 9. 12 years ago, their ages were in the ratio 3:5. When would the ratio of the ages be 6 : 7.
  1. m, n are the zeros of  , Find the value of a & c if m+n=mn=10.
  1. Find ‘x’ if : .
  1. Shoe that :
  1. In an equilateral triangle ABC, D is a point on side BC such that BD= 1/3 BC. Prove that .
  2. O is any point inside a rectangle ABCD, Prove that
  3. Two candles of equal height but different thickness are lighted. The first burns off in 6 hours & the second in 8 hours. How long after lighting both will the first candle be half the height of the second?
  4. If x+a is a factor of the polynomial  &  prove that
  5. If x = mcosα . sinβ; y=mcosα . cosβ & z=msinα Show that x2+y2+z2=m2
  6. The average marks of A, B & C is 33, while the average marks of B, C & D is 37. If A obtains 30 marks, find the marks obtained by D.
  7. M being the mean of X1, X2, X3, X4, X5, X6, find the value of (X1--M)+( X2-M)+( X3-M)+( X4-M)+( X5-M)+( X6-M).

                                                      SECTION D

  1. Solve for x & y : bx+ay=a+b  ;  
  2. Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides.
  3. Find the HCF if 135 & 225. Also express the HCF in the form 135a+225b for some integers a &b.
  4. If , then find the value of
  5. The median of the following data is 52.5. find the values of x & y if the totalof frequencies is 100.

Class Intervals

frequency

0-10

2

10-20

5

20-30

X

30-40

12

40-50

17

50-60

20

60-70

Y

70-80

9

80-90

7

90-100

4

  1. If  prove that .

To call for asking any doubt prefer to send message on vishvas_1@ymail.com
Or call at 99-1515-1771 any time after 10:30pm or morning 6 to 8.
VISHVAS   TUTORIALS    LUDHIANA
ANSWERS
1 . 1
2 . xy2
3 . (iii)
4 . (iii)
5 . (ii)
6 . (iv)
7 . ¼
8 . (i)
9 .
10 . (i)
11 . (i)
12.  (i)
13 . {999600}
14 . (iii)
15 . x=1, y=-1
16 . ****
17 . 1:9
18 . ****
19 . 15 years
20 . a= ½ c=5
21 . x=tanθ
22 . ****
23 . ****
24 . ****
25 . 4.8 sec
26 . ****
27 .****
28 42
29 . zero.
30 .   
31 . ****
32 . ****
33 . ****
34 . x= 9,   y=15
Paper Submitted By:

Name        Harsharanjit kanda
Email vishvas_1@ymail.com
Phone No.  9915151771




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