MH 10th Question Paper June 2026 Maths Part 1 (Algebra)

FOR MAHARASHTRA BOARD (MSBSHSE) CLASS 10 EXAM PREPARATION

Maharashtra Board
(MSBSHSE) Class 10
2026
June Session Question
Paper · Maths Part 1
(Algebra)
EXAM YEAR

Maharashtra Board (MSBSHSE) Class 10 2026
TYPE SUBJECT

June Session Question Paper Maths Part 1 (Algebra)

Notes · Sample Papers · Previous Year Papers · Mock Tests

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Page No. 1/4 Subject code N 384 Seat No.

DATE : 22/06/2026 SUBJECT : MATHEMATICS (71) ALGEBRA—PART I (E)

TIME : 11.00 SYLLABUS : (REVISED COURSE)
DURATION : 2 Hours TOTAL PAGES : 4 TOTAL MARKS : 40
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Note :— (i) All questions are compulsory.
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(ii) Use of a calculator is not allowed.
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(iii) The numbers to the right of the questions indicate full marks.
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(iv) In case of MCQs [Q. No. 1(A)] only the first attempt will be evaluated and

g l a will be given credit.
1. (A)a Four alternative answers for each of the following sub-questions are
given. Choose the correct alternative and write it : 4
(i) For solving the simultaneous equations x + y = 3, 3x – 2y = 4. Find the
value of determinant D.
(a) 5 (b) 1
(c) –5 (d) –1
(ii) One of the roots of equation x2 + mx – 5 = 0 is 2, find the value of m.
1
(a) –2 (b) 
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2
1
(c)
2
e
(d)
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(iii)
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Rate of GST on brokerage is ..................... .
(a)
(c)
5%
12% ag (b)
(d)
18%
28%
(iv) The classification of persons based on blood groups is to be shown by a
pie diagram. The persons having blood group O are 40%. What should be
the measure of angle for the persons having O blood group ?
(a) 114º (b) 140º
(c) 104º (d) 144º
(B) Solve the following sub-questions : 4
(i) If 15x + 17y = 21 and 17x + 15y = 11, then find the value of x + y.
(ii) Find the first term and common difference of the given A.P. 5, 1, –3, –7, ......
m
m (iii) Two coins are tossed simultaneously. Write the sample space (S) and the
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s em
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g lafollowing :
Find Mean (X) if  xi fi  1265 and  fi  50 .

g la (A)
a
Complete and rewrite any two activities from the 4

a (i) Complete the following table to draw the graph of equation x – y = 1.
x 0
y 0 –3
(x, y) (0, –1) (–2, –3)

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Page 1 of 4

Page No. 2/4 Subject code N 384
(ii) Complete the following table by writing suitable numbers and words.
Sr. No. FV Share is at MV
(1) ` 100 Par `
(2) ` Premium ` 500 ` 575
(3) ` 10 ` 5
(4) ` 300 ` 310
(iii) Complete the following activity to find the probability of getting tail when
one coin is tossed.
Let ‘S’ be the sample space.
S = {H, T}
n(S) =
Let A be the event of getting tail.
A = { }
 n(A) =
n(A)
P(A) =
n(S)
P(A) =
(B) Sol v e an y four sub-questions from the following : 8
(i) Solve the following simultaneous equations :
5x + 3y = 9; 2x – 3y = 12
(ii) Form the quadratic equation whose roots are 3 and –10.
(iii) ‘Pawan Medical’ supplies medicines. On some medicines the rate of GST is
12%, then what is the rate of CGST and SGST ?
(iv) Solve the following quadratic equation by factorisation method :
25 m2 = 9
(v) If one die is rolled, then write the sample space (S), n(S), event A in the
set form and n(A).
Event A : getting odd number on the upper face.
3. (A) Complete and rewrite any one activity from the following : 3
(i) M/s. Jay Chemicals purchased a liquid soap having taxable value ` 8,000 and
sold it to the consumers for the taxable value ` 10,000. Rate of GST is 18%.
Find the CGST and SGST payable by M/s. Jay Chemicals.
Input Tax = 18% of 8000

=  8000
100
= `
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Page No. 3/4 Subject code N 384 Seat No.

 ITC = ` 1440
Output Tax = 18% of 10,000
18
= 
100
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= `
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c. oGST payable = Output tax – s e m
s em = – 1440
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g l a = ` 360 ag
a  Payable CGST = ` 180 and Payable SGST = ` 180 by M/s. Jay Chemicals.
(ii) Complete the following activity to find, ‘how many three digit natural
numbers which are divisible by 5’.
Three digit natural numbers divisible by 5 are as follows :
100, 105, 110, ............., 995.
tn = , a =
o m , d = 5, n = ?

. c
t = a + (n – 1) d ............... formula
n
m
e– 1) ×
995 = s
la× 5
+ (n

895 a g
895 = (n – 1)

= n– 1
5
+ 1 = n

= n

 There are 180 three digit natural numbers, divisible by 5.
(B) Solve any two sub-questions from the following :
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m c. o :
c. o
(i) Solve the following simultaneous equations by Cramer’s rule

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x + 2y = –1; 2x – 3y = 12
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s e (ii)
l
Solve the following quadratic equation by formula
g a method :
g la 2
x – 3x – 2 = 0 a
a (iii) Electricity used by some families is shown in the following table. Find the
mode of electricity used.
Use of Electricity 0—20 20—40 40—60 60—80 80—100 100—120
(Units)
No. of Families 13 50 70 100 80 17

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Page No. 4/4 Subject code N 384
(iv) A two digit number is formed using digits 2, 3, 5, 7, 9 without repetition.
What is the probability that the number formed is :
(a) an odd number.
(b) a multiple of 5.

4. Solve any two sub-questions from the following : 8

(i) The following table shows the classification of percentages of marks of students
and the number of students. Draw a frequency polygon from the table.

Result (Percentage) 30—40 40—50 50—60 60—70 70—80 80—90 90—100

No. of Students 7 33 45 65 47 18 5

(ii) The sum of the squares of five consecutive natural numbers is 1455. Find the
numbers.
(iii) Ajay Shar ma r epays t he bor r owed amount of ` 3,25,000 by paying ` 30,500 in the
first month and then decreases the payment by ` 1,500 every month. How long will
it take to clear his amount ?

5. Solve any one sub-question from the following : 3

(i) If the point (2, 1) lies on the graph of the equation x + ay = 4, then find the value
of ‘a’ and draw the graph of the equation so obtained.
(ii) The following pie diagram represents the number of valid votes obtained by four
students; who contested for school captain. The total of valid votes polled was 720.

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0º
10
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80º
60º º
120
Ra

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dh

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Sh
a

Answer the following questions :
(a) Who has won the election ?
(b) What is the minimum number of votes ? Who got it ?
(c) By how many votes did the winner defeat the nearest contestant ?

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