CBSE 10th Maths 2017 Unsolved Paper Summative …
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CBSE 10th Maths 2017 Unsolved Paper Summative Assessment - 1
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TIME - 3HR. | QUESTIONS ? 34 THE MARKS ARE MENTIONED ON EACH QUESTION _________________________________________________________________________ SECTION - A Question 1: In figure, AB = , = , = , 1 mark
()
()
()
()
Question 2: In figure, what values of x will make ? 1 mark
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(a) 3 (b) 2 (c) 5 (c) 4 Question 3: Find the LCM and HCF of 510 and 92 and verify that LCM ? HCF = product
of the two numbers 1 mark Question 4: If + = , + 1 mark
a) b) c) d) - Question 5: If , = ? = ?, 2 marks (a) ? (b) ? (c) ? (d) ?
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Question 6: In the give figure, = ? = ?, = , = , = , - 1 mark
().
() .
() .
().
Question 7: If = ( - ?), , 1 mark
(a) ? (b) ? (c) ? (d) ?
Question 8: If + = , 1 mark
-
()
+
()
- ()
+ ()
Question 9: The largest number that will divide 398, 436 and 542 leaving remainder 7,11 and 15 respectively is 1 mark (a) 11 (b) 17 (c) 34 (d) 51
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Question 10: If = ? ? + ? ? , 1 mark () ? () ? () ? () ?
SECTION ? B Question 11: are the zeroes of the quadratic polynomial () = + + ,
then evaluate: 2 marks +
Question 12: Check whether can end with the digit 0 for any natural number n. 2 marks
Question 13:
- + = 2
OR Prove that: () ? ? ? ? ? =
() ? ? + ? =
()
? ? ? + ? - ? ? =
Question 14: Reena has pens and pencils which together are 40 in number. If she has 5 more pencils and 5 less pens, then number of pencils would become 4 times the number of pens. Find the original number of pens and pencils. 2 marks
Question 15: In figure, , , therefore ~ 2
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Question 16:
- - + - =
2
Question 17: The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. 2 marks
Monthly
consumption - - - - - -
(in units)
-
Number of
consumers
4
5
13
20
14
8
4
Write the above distribution as less than type cumulative frequency distribution.
Question 18: The length of 42 leaves of a plant are measure correct up to the nearest millimeter and the data is as under: 2 marks
Length (in mm) - - - - - -
Number
of
4
5
10
14
4
5
leaves
Find the mode length of the leaves.
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SECTION ? C
Question
19:
Prove
that
is
irrational
number.
3
marks
OR
Prove that - is an irrational number Question 20: Prove that - dis divisible by 2 for any positive integer n. 3 marks
Question 21: Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars? 3 marks
OR
Solve the following pair of equations:
+ + - =
+ - - = -
Question 22: If are the zeroes of the quadratic polynomial () = - + , prove that 3 marks
+ = - +
Question 23: In an isosceles triangle ABC, AB = AC = 25 cm, BC = 14 cm. Calculate the altitude from A on BC. 3 marks
Question 24:
- + = 3
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Question 25:
- +
-
(
-
)
3
OR
? ? ? ? + ? - ?
Question 26:
, ||,
=
=
. .
.
3
marks
Question 27. Find mean of the following frequency distribution using step-deviation method: 3 marks
Class-
0-60
Interval
Frequency 22
60-120 35
120-180 44
180-240 25
240-300 24
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