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Exam: Maharashtra State Board Class 10
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Q401
#401
Algebra → Probability → Sample Space and Events
·
Easy
Add
Two coins are tossed simultaneously. Write the sample space
S
S
S
.
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[QQ1(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q402
#402
Algebra → Linear Equations in Two Variables → Graph of Linear Equations
·
Easy
Add
Complete the following activity to complete the table so as to draw the graph of
x
+
2
y
=
4
x + 2y = 4
x
+
2
y
=
4
: |
x
x
x
|
−
2
-2
−
2
| | |---|---|---| |
y
y
y
| |
1
1
1
| |
(
x
,
y
)
(x, y)
(
x
,
y
)
| | |
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[QQ2(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q403
#403
Algebra → Quadratic Equations → Relation between Roots and Coefficients
·
Moderate
Add
Complete the following activity to form a quadratic equation whose roots are
5
5
5
and
12
12
12
.
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[QQ2(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q404
#404
Algebra → Financial Planning → Shares — Face Value, Market Value, Brokerage
·
Moderate
Add
Pushpmala has invested ₹24,000 and purchased shares of FV ₹20 at a premium of ₹4. Complete the following activity to find the number of shares she purchased.
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[QQ2(A)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q405
#405
Algebra → Linear Equations in Two Variables → Methods of Solving Linear Equations
·
Easy
Add
Solve the following simultaneous equations:
x
+
y
=
3
x + y = 3
x
+
y
=
3
;
3
x
−
2
y
=
4
3x - 2y = 4
3
x
−
2
y
=
4
.
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[QQ2(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q406
#406
Algebra → Quadratic Equations → Solving by Factorisation
·
Easy
Add
Solve the following quadratic equation by factorisation method:
m
2
+
14
m
+
13
=
0
m^2 + 14m + 13 = 0
m
2
+
14
m
+
13
=
0
.
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[QQ2(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q407
#407
Algebra → Arithmetic Progression → nth Term of an A.P.
·
Easy
Add
Find the 19th term of the following A.P.:
7
,
13
,
19
,
25
,
…
7, 13, 19, 25, \ldots
7
,
13
,
19
,
25
,
…
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[QQ2(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q408
#408
Algebra → Financial Planning → Shares — Face Value, Market Value, Brokerage
·
Easy
Add
A share is sold for the market value of ₹2,000. Brokerage is paid at the rate of 0.5%. What is the amount received after the sale?
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[QQ2(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q409
#409
Algebra → Statistics → Mean, Median and Mode of Grouped Data
·
Moderate
Add
The following table shows the number of students and the time they utilized daily for their studies. Find the mean time spent by the students for their studies. | Class Time (in hours) | Class Mark
(
x
i
)
(x_i)
(
x
i
)
| No. of Students
(
f
i
)
(f_i)
(
f
i
)
|
f
i
x
i
f_i x_i
f
i
x
i
| |---|---|---|---| | 0–2 | 1 | 8 | 8 | | 2–4 | 3 | 14 | 42 | | 4–6 | 5 | 18 | 90 | | 6–8 | 7 | 10 | 70 | | 8–10 | 9 | 10 | 90 |
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[QQ2(B)(v) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q410
#410
Algebra → Financial Planning → Shares — Face Value, Market Value, Brokerage
·
Moderate
Add
Shri Maniklal has purchased 300 shares of F.V. ₹100, for M.V. ₹120. Company has paid dividend at 7%. Complete the following activity to find the rate of return on his investment.
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[QQ3(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q411
#411
Algebra → Probability → Probability of an Event
·
Moderate
Add
A two digit number is to be formed from the digits 2, 3, 5 without repetition of the digits. Complete the following activity to find the probability that the number so formed is an odd number.
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[QQ3(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q412
#412
Algebra → Linear Equations in Two Variables → Determinant Method (Cramer's Rule)
·
Moderate
Add
Solve the following simultaneous equations by Cramer's rule:
4
x
+
3
y
=
18
4x + 3y = 18
4
x
+
3
y
=
18
;
3
x
−
2
y
=
5
3x - 2y = 5
3
x
−
2
y
=
5
.
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[QQ3(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q413
#413
Algebra → Quadratic Equations → Solving by Formula and Completing the Square
·
Easy
Add
Solve the following quadratic equation by using formula method:
x
2
−
2
x
−
3
=
0
x^2 - 2x - 3 = 0
x
2
−
2
x
−
3
=
0
.
Show model answer
[QQ3(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q414
#414
Algebra → Probability → Probability of an Event
·
Moderate
Add
A committee of two members is to be formed from three boys and two girls. Find the probability of the following events: Event A: At least one girl must be a member of the committee. Event B: Committee must be of one boy and one girl.
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[QQ3(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q415
#415
Algebra → Statistics → Mean, Median and Mode of Grouped Data
·
Moderate
Add
In a general store the prices of different articles and its demand is shown in the following frequency distribution table. Find the Median of the prices. | Price in Rupees | No. of Articles | |---|---| | Less than 20 | 140 | | 20–40 | 100 | | 40–60 | 80 | | 60–80 | 60 | | 80–100 | 20 |
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[QQ3(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q416
#416
Algebra → Quadratic Equations → Nature of Roots (Discriminant)
·
Moderate
Add
Find the value of
m
m
m
if the quadratic equation
(
m
−
12
)
x
2
+
2
(
m
−
12
)
x
+
2
=
0
(m - 12)x^2 + 2(m - 12)x + 2 = 0
(
m
−
12
)
x
2
+
2
(
m
−
12
)
x
+
2
=
0
has real and equal roots.
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[QQ4(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q417
#417
Algebra → Arithmetic Progression → Word Problems and Applications
·
Hard
Add
A farmer borrows ₹1,000 and agrees to repay with a total interest of ₹140, in 12 instalments. Each instalment being less than the preceding instalment by ₹10. What should be the amount of his first and last instalment?
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[QQ4(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q418
#418
Algebra → Statistics → Pictorial Representation of Statistical Data
·
Moderate
Add
The following table shows the marks of 180 students in Mathematics. Find the value of
x
x
x
and draw histogram. | Marks | No. of Students | |---|---| | 0–10 | 25 | | 10–20 |
x
x
x
| | 20–30 | 30 | | 30–40 |
2
x
2x
2
x
| | 40–50 | 65 |
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[QQ4(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q419
#419
Algebra → Linear Equations in Two Variables → Graph of Linear Equations
·
Hard
Add
Draw the graphs representing the equations
2
x
=
y
+
2
2x = y + 2
2
x
=
y
+
2
and
4
x
+
3
y
=
24
4x + 3y = 24
4
x
+
3
y
=
24
on the same graph paper. Find the area of the triangle formed by these lines and the X-axis.
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[QQ5(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q420
#420
Algebra → Statistics → Pictorial Representation of Statistical Data
·
Moderate
·
Has image
Add
The following pie-diagram shows percentage of persons according to blood group in a blood group checking camp. Answer the following questions: (a) Find the measure of central angle for each blood group. (b) Find the total number of persons, if there are 600 persons of blood group B.
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[QQ5(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q421
#421
Algebra → Linear Equations in Two Variables → Graph of Linear Equations
·
Easy
Add
To draw the graph of
4
x
+
5
y
=
19
4x + 5y = 19
4
x
+
5
y
=
19
, find
y
y
y
when
x
=
1
x = 1
x
=
1
:
A
4
B
3
C
2
D
-3
Tap an option to check your answer.
Show solution
[QQ1(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q422
#422
Algebra → Quadratic Equations → Roots of a Quadratic Equation
·
Easy
Add
Out of the following equations which one is NOT a quadratic equation?
A
x
2
+
4
x
=
11
+
x
2
x^2 + 4x = 11 + x^2
x
2
+
4
x
=
11
+
x
2
B
x
2
=
4
x
x^2 = 4x
x
2
=
4
x
C
5
x
2
=
90
5x^2 = 90
5
x
2
=
90
D
2
x
−
x
2
=
x
2
+
5
2x - x^2 = x^2 + 5
2
x
−
x
2
=
x
2
+
5
Tap an option to check your answer.
Show solution
[QQ1(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q423
#423
Algebra → Arithmetic Progression → nth Term of an A.P.
·
Easy
Add
For the given A.P.,
a
=
3.5
a = 3.5
a
=
3.5
,
d
=
0
d = 0
d
=
0
, then
t
n
=
t_n =
t
n
=
______
A
0
B
3.5
C
103.5
D
104.5
Tap an option to check your answer.
Show solution
[QQ1(A)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q424
#424
Algebra → Probability → Probability of an Event
·
Easy
Add
If
n
(
A
)
=
2
n(A) = 2
n
(
A
)
=
2
,
P
(
A
)
=
1
5
P(A) = \dfrac{1}{5}
P
(
A
)
=
5
1
, then
n
(
S
)
=
n(S) =
n
(
S
)
=
?
A
10
B
5
2
\dfrac{5}{2}
2
5
C
2
5
\dfrac{2}{5}
5
2
D
1
3
\dfrac{1}{3}
3
1
Tap an option to check your answer.
Show solution
[QQ1(A)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q425
#425
Algebra → Linear Equations in Two Variables → Determinant Method (Cramer's Rule)
·
Easy
Add
Find the value of the following determinant:
∣
4
3
2
7
∣
\begin{vmatrix} 4 & 3 \\ 2 & 7 \end{vmatrix}
4
2
3
7
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[QQ1(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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