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Title: maths notes
Description: for students who want to get good marks in maths

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CBSE Sample Paper -01 (solved)
SUMMATIVE ASSESSMENT –I
Class – X Mathematics
Time allowed: 3 hours

Maximum Marks: 90

General Instructions:
a) All questions are compulsory
...
You
are to attempt all the four sections
...

d) Questions 5 to 10 in section B are two marks questions
...

f) Questions 21 to 31 in section D are four marks questions
...
Use of calculators is not permitted
...


2
...
Also find the number of decimal places after which
the decimal expansion terminates
...


Identify the given graph corresponds to a linear polynomial or a quadratic polynomial
...


Prove that cot 2 θ −

1
= −1
sin2 θ

SECTION – B
5
...


The graph of y = ax2 + bx + c is given in the following figure
...


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...
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...


In the given figure, DE || BC and CD || EF
...


8
...


For the following grouped frequency distribution, find the mode
...


12-15

15-18

18-21

21-24

5

Frequency 2

9-12
10

23

21

12

3

ABC is a right triangle, right angled at C
...


SECTION – C
11
...


12
...


The mean of the following frequency distribution is 1
...
Find the missing frequencies
...


0
46

f1

f2

25

10

5

200

A ladder 15 m long reaches a window which is 9 m above the ground on one side of a street
...
Find the width of the street
...


If sin(A + B) = 1 and cos (A – B) =

3
, 0° < A + B ≤ 90°, A > B then find A and B
...
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...
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16
...


Find the values of x and y if the total frequency and the median of the following data is 100
and 525, respectively
...


0-

2

5

x

12

17

20

y

9

7

4

P and Q are points on sides AB and AC, respectively of ΔABC
...


19
...


20
...


Find all the zeros of the polynomial f(x) = 2x4 – 3x3 – 3x2 + 6x – 2, if two of its zeros are

2

and − 2
...


Show graphically that the system of equations 2x + 4y = 10; 3x + 6y = 12 has no solution
...


Prove that if the corresponding sides of two triangles are proportional, then they are similar
...


ABCD is a rhombus
...


If cotB=

26
...

5

that each of the side is equal to ±1
...
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27
...

Variate (x)

5

10

15

20

25

30

35

40

45

50

Frequency

20

43

75

67

72

45

39

9

8

6

(f)

2sin2 A + 3cot 2 A

...


If cosecA= 2 , find the value of

29
...

Age (in years)

10-19

20-9

30-39

40-49

50-59

60-69

Number of persons

30
...
If the train would have been 6 km/hr
faster, it would have taken 4 hours less than the scheduled time
...
Find the length of the
journey
...


The percentage of salary that 10 households donate to an orphanage is given below:
5, 3, 10, 5, 2, 4, 7, 8, 1, 5
Find the mean, median and mode of the data
...


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...
co
Title: maths notes
Description: for students who want to get good marks in maths