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Exam: Maharashtra State Board Class 10
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Q576
#576
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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Q577
#577
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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Q578
#578
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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Q579
#579
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.
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[QQ1(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q580
#580
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.
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[QQ1(A)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q581
#581
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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Q582
#582
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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Q583
#583
Algebra → Arithmetic Progression → nth Term of an A.P.
·
Easy
Add
Find the common difference of the following A.P.:
2
,
4
,
6
,
8
,
…
2, 4, 6, 8, \ldots
2
,
4
,
6
,
8
,
…
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[QQ1(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q584
#584
Algebra → Financial Planning → Goods and Services Tax (GST)
·
Easy
Add
On a certain article if the rate of CGST is 9%, then what is the rate of SGST?
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[QQ1(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q585
#585
Algebra → Probability → Sample Space and Events
·
Easy
Add
If one coin is tossed, 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 2023 board paper · 2023]
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Q586
#586
Algebra → Linear Equations in Two Variables → Methods of Solving Linear Equations
·
Easy
Add
Complete the following activity to find the value of
x
x
x
:
5
x
+
3
y
=
9
5x + 3y = 9
5
x
+
3
y
=
9
...... (I)
2
x
−
3
y
=
12
2x - 3y = 12
2
x
−
3
y
=
12
...... (II) Add equations (I) and (II) and hence find
x
x
x
.
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[QQ2(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q587
#587
Algebra → Quadratic Equations → Nature of Roots (Discriminant)
·
Moderate
Add
Complete the following activity to determine the nature of the roots of the quadratic equation
x
2
+
2
x
−
9
=
0
x^2 + 2x - 9 = 0
x
2
+
2
x
−
9
=
0
.
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[QQ2(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q588
#588
Algebra → Financial Planning → Shares — Face Value, Market Value, Brokerage
·
Moderate
Add
Complete the following table using the given information: | Sr. No. | FV | Share is at | MV | |---|---|---|---| | 1 | ₹100 | Par | ? | | 2 | ? | Premium ₹500 | ₹575 | | 3 | ₹10 | ? | ₹5 | | 4 | ₹200 | Discount ₹50 | ? |
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[QQ2(A)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q589
#589
Algebra → Linear Equations in Two Variables → Methods of Solving Linear Equations
·
Easy
Add
Solve the following simultaneous equations:
x
+
y
=
4
x + y = 4
x
+
y
=
4
;
2
x
−
y
=
2
2x - y = 2
2
x
−
y
=
2
.
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[QQ2(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q590
#590
Algebra → Quadratic Equations → Roots of a Quadratic Equation
·
Easy
Add
Write the following equation in the form
a
x
2
+
b
x
+
c
=
0
ax^2 + bx + c = 0
a
x
2
+
b
x
+
c
=
0
, then write the values of
a
a
a
,
b
b
b
,
c
c
c
:
2
y
=
10
−
y
2
2y = 10 - y^2
2
y
=
10
−
y
2
.
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[QQ2(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q591
#591
Algebra → Arithmetic Progression → nth Term of an A.P.
·
Easy
Add
Write an A.P. whose first term is
a
=
10
a = 10
a
=
10
and common difference
d
=
5
d = 5
d
=
5
.
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[QQ2(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q592
#592
Algebra → Financial Planning → Goods and Services Tax (GST)
·
Moderate
Add
A courier service agent charged a total of ₹590 to courier a parcel from Nashik to Nagpur. In the tax invoice the taxable value is ₹500, on which CGST is ₹45 and SGST is ₹45. Find the rate of GST charged for this service.
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[QQ2(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q593
#593
Algebra → Statistics → Mean, Median and Mode of Grouped Data
·
Moderate
Add
Observe the following table and find the Mean (Assumed mean
A
=
300
A = 300
A
=
300
): | Class | Class mark
x
i
x_i
x
i
|
d
i
=
x
i
−
300
d_i = x_i - 300
d
i
=
x
i
−
300
| Frequency
f
i
f_i
f
i
|
f
i
d
i
f_i d_i
f
i
d
i
| |---|---|---|---|---| | 200–240 | 220 | -80 | 5 | -400 | | 240–280 | 260 | -40 | 10 | -400 | | 280–320 | 300 | 0 | 15 | 0 | | 320–360 | 340 | 40 | 12 | 480 | | 360–400 | 380 | 80 | 8 | 640 | | Total | | |
∑
f
i
=
50
\sum f_i = 50
∑
f
i
=
50
|
∑
f
i
d
i
=
320
\sum f_i d_i = 320
∑
f
i
d
i
=
320
|
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[QQ2(B)(v) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q594
#594
Algebra → Probability → Sample Space and Events
·
Moderate
Add
Form a 'Road Safety Committee' of two, from 2 boys
B
1
,
B
2
B_1, B_2
B
1
,
B
2
and 2 girls
G
1
,
G
2
G_1, G_2
G
1
,
G
2
. Complete the following activity to write the sample space: (a) Committee of 2 boys (b) Committee of 2 girls (c) Committee of one boy and one girl (d) Sample space
S
S
S
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[QQ3(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q595
#595
Algebra → Financial Planning → Goods and Services Tax (GST)
·
Moderate
Add
Fill in the boxes of the following sample tax invoice of services provided with the help of the given information (Food Junction, Khed-Shivapur, Pune; GSTIN 27AAAAA5555B1ZA; CGST rate 2.5% and SGST rate 2.5% on each item): | SAC | Food Items | Qty | Rate (₹) | Taxable amount | CGST % | CGST | SGST % | SGST | |---|---|---|---|---|---|---|---|---| | 9963 | Coffee | 1 | 20 | 20.00 | 2.5% | ₹0.50 | 2.5% | ? | | 9963 | Masala Tea | 1 | 10 | 10.00 | ? | ₹0.25 | 2.5% | ? | | 9963 | Masala Dosa | 2 | 60 | ? | 2.5% | ? | 2.5% | ₹3.00 | | | Total | | | 150.00 | | ? | | ₹3.75 | Grand Total
=
=
=
₹157.50.
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[QQ3(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q596
#596
Algebra → Linear Equations in Two Variables → Determinant Method (Cramer's Rule)
·
Moderate
Add
Solve the following simultaneous equations using Cramer's rule:
4
m
+
6
n
=
54
4m + 6n = 54
4
m
+
6
n
=
54
;
3
m
+
2
n
=
28
3m + 2n = 28
3
m
+
2
n
=
28
.
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[QQ3(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q597
#597
Algebra → Quadratic Equations → Solving by Formula and Completing the Square
·
Moderate
Add
Solve the following quadratic equation by the formula method:
x
2
+
10
x
+
2
=
0
x^2 + 10x + 2 = 0
x
2
+
10
x
+
2
=
0
.
Show model answer
[QQ3(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q598
#598
Algebra → Probability → Probability of an Event
·
Moderate
Add
A two digit number is formed with the digits 2, 3, 5, 7, 9 without 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.
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[QQ3(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q599
#599
Algebra → Statistics → Mean, Median and Mode of Grouped Data
·
Moderate
Add
The frequency distribution table shows the number of mango trees in a grove and their yield of mangoes. Find the median of the data: | No. of Mangoes | No. of Trees | |---|---| | 50–100 | 33 | | 100–150 | 30 | | 150–200 | 90 | | 200–250 | 80 | | 250–300 | 17 |
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[QQ3(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q600
#600
Algebra → Arithmetic Progression → Sum of n Terms of an A.P.
·
Hard
Add
If the first term of an A.P. is
p
p
p
, the second term is
q
q
q
and the last term is
r
r
r
, then show that the sum of all the terms is
(
q
+
r
−
2
p
)
×
(
p
+
r
)
2
(
q
−
p
)
(q + r - 2p) \times \dfrac{(p + r)}{2(q - p)}
(
q
+
r
−
2
p
)
×
2
(
q
−
p
)
(
p
+
r
)
.
Show model answer
[QQ4(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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