Maharashtra Class 10 Question Paper 2023 Maths Part 1 Algebra

Maharashtra Board

Question Paper
2023
Class 10

HSC
QUESTION PAPER
Presented By

N913 H«'n t No. II!llI\\
202:1 111 1s 1100 -N 913- MATHl<:MATICS (7 1) AL<.a:nnA-PART 1 <E>

(REVISf;:ll ('.OURStr.)
Tint<' : 2 Hours (PnJ(cs 9) Max. Marks : 40

Note :- (i) All questions are compul80ry.

(ii) Uso of a calculator iH not allowed.

(iii) The numbers to the right of the questions indicate Cull
marks.

(iv) In case of MCQs [Q. No. l(A)) only the first attempt will
be evaluated and will be given credit.

(v) For every MCQ, four alternatives (A), (B), (C), (D) of answers
are given. Alternative of correct answer is to be written
in front of the subquestion number.

1. (A) Choose the correct answer and write the alphabet of it in front
of the subquestion number : 4

(i) To draw the graph of 4x + 5y = 19, find y when x = 1 :

(A) 4

(B) 3

(C) 2

(D) -3
P.T.0 ..4

2/N 913
(ii) Out of the following equations which one is not a quadrati,:

equation?

(A)·· x 2 + 4x = 11 + x2

(B) x2 = 4x
(C) 5x2 = 90

(D) 2x - x 2 = x 2 + 5

(iii) For the given A.P. a = 3.5, d = 0, then tn = ·············· ·

(A) 0

/gw 3.5
(C) 103.5

(D) 104.5

(iv) If n(A) = 2, P(A) = .!.
5,
then n(S) = ?

10
�

(B) ·
2-

(C)

5

(D)

3/N 913
ns :
(B) Solve the following subquestio

(i) .Find the value of the following determinant :

4 3
2 7

(ii) Find the common difference of the following A.P.

2, 4, 6, 8, ....

(iii) On certain article if rate of CGST is 9%, then what is the rate
of SGST?

(iv) If one coin is tossed, write the sample space 'S'.

(A) Complete any two given activities and rewrite it: 4

(i) Complete the following activity; find the value of x :

5x + 3y = 9 ................... (I)

2x - 3y = 12 ... ...... ...... .. (II)

Add equations (I) and (II)

5x + 3y = 9

+ 2x - 3y = 12

1x = [2J
D
X :
D

X = D

P.T.O.

4/N 913
(ii) Complete the following activi ty to determine the nature of th e
roots of the quadratic equation x2 +
· 2x - 9 =0
Solution :

Compare x2 + 2x - 9 = 0 with ax2 + bx + c = 0

a = 1, b = 2, c = CJ
b2 - 4ac = (2)2 - 4 x CJ x CJ

6=4+LJ-4o

... b2 - 4ac > 0

... The roots of the equation are real and unequal.

(iii) Complete the following table using given information

Sr. No. FV Share IS at MV

1. � 100 Par D
2. D Premium � 500 � 575

3. f IO D ' 5

4. f 200 Discount f 50 D

5/N 913
:
(B) Solve the following subquestions (any four)

(i) Solve the following simultaneous equations

X + y = 4; 2x - y = 2

(ii) Write the following equation in the form ax 2 + bx + c = 0, then

write the values of a, b, c

2y = 10 - y2 .

(iii) Write an A.P. whose first term is a= 10 and common difference

d = 5.

(iv) Courier ser.vice agent charged total f 590 t.o courier a parcel from

Nashik to Nagpur. In the tax invoice taxable value is f 500 on

which CGST is f 45 and SGST is f 45. Find the rate of GST
••

charged for this service.

P.T.O.

6/N 913
(v) Observe the following table and find Mean :

Assumed mean A = 300

Class Class d·l = X·' - A Frequency Frequcn<'y x1

mark d,' = X• - 300
' f:' Deviation

X•' ' '
f. d.

200-240 220 -80 5 -400

240-280 260 -40 10 -400

280-320 300� A 0 15 0

320-360 340 40 12 480

360-400 380 80 8 640

Total "i.f;, = 50 "i.f;,di = 320
3. (A) Complete any one activity and rewrite it : S
(i) Form a 'Road Safety Committee' of two, from 2 boys (B1, B2)
and 2 girls (G1, G2),
Complete the following activity to write the sample space

(a) Committee of 2 boys = {D}
(b) Committee of 2 girls = {D}
(c) Committee of one boy and one girl

= {IB1(G1 l,IB1 G 2 I, D,D}

(d) :. Sampl e space (S) =

{(B 1 B2 ),(B1 G1),D,D, (B2 G2 ),(G1 G2)}

7/N 913
(ii) Fill in the boxes with the help of giwin inforrrwtion :

Tax invoice of services provided (Sample)

Food Junction, Khed-Shivapur, Pune Invoice No. 5H

Mob. No. 7588580000, email-ahar.khe [email protected]

GSTIN : 27AAAAA5555B1ZA Invoice Date 25 Feb., 2020

SAC Food Qty Rate Taxable CGST SGST
.
Items (in f) amount

9963 Coffee 1 20 20.00 2.5% t 0.50 2.5% D
2.5% D
9963 Masala Tea 1 10 D f 0.25
10.00

9963 Masala Dosa 2 60 D 2.5% D 2.5% f 3.00

Total 150.00 D t 3.75
Grand Total = f 157.50

(B) Solve the following sub-questions (any two) : 6

(i) Solve the following simultaneous equations using Cramer's rule :

4m + 6n = 54; 3m + 2,t.... � = 28
\, ,,

Solve the following quadratic equation by formula method :

(ii)
<,
x2 + lOx + 2 = Q
·,.: ..

P.T.O.

,.

BIN 913
(iii) A two digit number is formed with digits 2, 3, 5, 7, 9 witho11t

repetition. What is the probability of the following events ?

Event A : The number formed is an odd number.

Event B : The number formed is a multiple of 5.

(iv) The frequency distribution table shows the number of mango trees

in a grove and their yield of mangoes. Find the median of

data:

No. of Mangoes No. of Trees ·

50-100 33

100-150 30

150-200 90

200-250 80

25()-.300 17

Solve the following subquestions (any two) : 8
. ·;,,
1.

'\,

(i) If the first tenn of an A.P. is p, second term is q and last term is r,
.
. (p+ r)
then show that sum of all terms is (q + r - 2p) ><. 2(q- p),

9/N 913
Show the followini;c data by A frequen cy polygon
'.
(1 i)

Electricity bill (f) Families

200-400 240

400-600 300
1
\
',

600-800 450
'•

800-1000 350

1000-1200 160

(iii) The sum of the squares of five consecutive natur,l numbers is 1455.

Find the numbers.

Solve the following subquestions (any one) : 3

(i) Draw the graph of the equation x + 2y = 4. Find the area of the triangle

formed by the line intersecting to X-axis and Y-axis.

('ii) A survey was conducted for 180 people in a city. 70 ate Pizza, 60 ate

burgers and 50 ate chips. Draw a pie diagram for the given information.

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