CLASS 10TH MATHS EXAM PRACTICE NOTES PART 3, Exercises of Mathematics

CLASS 10TH MATHS EXAM PRACTICE NOTES PART (1 TO 50) HELPS YOU REACHING YOUR 90+ MARKS IN MATHS EXAMS VERY EASILY

Typology: Exercises

2021/2022

Available from 03/12/2023

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AO
12.
4T
fT:
3sin
30°
+2tan
60°-5cos45°
Evaluate
:3sin'30°+2tan'60°-5cos
45°
3
r
the
product
of
the
zeroes
of
the
polynomial
axr
-óx--6
is
4,
find
the
value
ot
a .
te
the
relaionship
connecting
three
measures
of
central
tendency.
Hence
hnd
mode
when
mean
is
146
and
median
is
130.
130
3TUGT/OR
0-10
10-20
20
30
B0
-
40
40
50
10
15
Find
the
mode
of the
following
data.
Classes
Frequency
0-10
10-
20 20
30 30
4040
50D
15 8 1
10
10
TUG-H
/
SECTION-C
Y
HET
15
H 24 Y 3 I
Question
numbers
15
to
24
cairy
three
marks
each.
15.
T
3TFTa
3,
AABC
TT
ADBC
7
f7yt
7 U
ET
3TT
BC
TI
AE
AD,
BC
1 O R
Te,
TYi_r
f
arAABC)_
AC
ar
(ADBC)
DO
In
the
given
figure,
ABC
and
DBC
are
two
triangles
on
the
same
base
BC.
If
AD
ntersects
BC
at
O,
show
that
uaADL=
AO
DO
ar(ADBC)
Page
5
of
10
pf2

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AO

12. 4T^ fT:^ 3sin^ 30°^ +2tan^ 60°-5cos45°

Evaluate :3sin'30°+2tan'60°-5cos 45°

r the product of^ the^ zeroes^ of^ the^ polynomial^ axr^ -^ óx--^

is 4, find^ the^ value^ ot^ a^.

te the^ relaionship^ connecting^

three measures^ of^ central^ tendency.^ Hence hnd^ mode when mean is 146 and median is 130.

3TUGT/OR

0-10 10-20 20 30 B0 - 40 40 50

Find the mode of the following data.

Classes

Frequency

0-10 10- 20 20 30 30 4040 50D

TUG-H / SECTION-C Y HET 15 H 24 Y 3 I Question numbers^15 to^24 cairy^ three^ marks^ each.

15. T^ 3TFTa^ 3,^ AABC^ TT^ ADBC^7 f7yt^7 U^ ET^

3TT BC TI AE^ AD, BC^ 1 O R

Te, TYi_r^ f^ arAABC)_^

AC

ar (ADBC) DO

In the given figure, ABC and DBC are two triangles on the same base BC. If AD ntersects BC^ at^ O,^ show^ that^ uaADL=ar(ADBC)^ AODO

Page 5 of 10

O

What must be added to the polynomial p(x) =2:r"+9x*-5:x -15 so that the resulting

polynomial is exactly divisible by 2x+3?

1. 374 UTES7 T^ YZTT^ 7K^ 40,^36 7I^126 51 ..^ 7T^ TH.^ FM^ SQ

Find the HCF and LCM of 40, 36 and 126 using prime factorization method.

377aT/OR

Prove that 2 is irrational.

sece +tand- 11 + sin

cos

tane sec8 + 1

sece+tane 1 sin

Prove that: tane sece + 1 cose

If the sum of the zeroes of the polynonual 1- (k +3)x + (5k-3) is equal to one-fourth of

the product of the zeroes, find the value of 'k'.

7y+3)-2(r 2) =^14

4y-2)+3(1-3) = 2

7y+3)-2(x+2) =^14

4y-2)+3(t-3) =

Solve for r and y :

37UaT/OR

k HH T7 TIg FHT ZTH 21+3y =7, (k+1)x +(2k-1)y=4k+

Find the value of 'K if the following pair of linear equations has infinitely many

solutions:

21+3y=7; (k+1)x +(2k-1)y=4k +^1

Page 6 of 10