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Exam: Maharashtra State Board Class 10
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Q376
#376
Algebra → Probability → Probability of an Event
·
Easy
Add
If one die is rolled, then complete the activity to find the probability of the event that the number on the upper face is prime.
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[QQ2(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q377
#377
Algebra → Arithmetic Progression → nth Term of an A.P.
·
Easy
Add
Write the correct numbers in the boxes from the given A.P.:
70
,
60
,
50
,
40
,
…
70, 60, 50, 40, \ldots
70
,
60
,
50
,
40
,
…
Complete the activity to find
t
1
,
t
3
,
a
t_1,\ t_3,\ a
t
1
,
t
3
,
a
and
d
d
d
.
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[QQ2(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q378
#378
Algebra → Linear Equations in Two Variables → Graph of Linear Equations
·
Easy
Add
Complete the following table to draw the graph of the equation
x
+
y
=
3
x + y = 3
x
+
y
=
3
: |
x
x
x
| 3 | | |---|---|---| |
y
y
y
| | 5 | |
(
x
,
y
)
(x, y)
(
x
,
y
)
| | |
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[QQ2(A)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q379
#379
Algebra → Probability → Probability of an Event
·
Easy
Add
If two coins are tossed simultaneously, find the probability of the event "getting at least one head."
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[QQ2(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q380
#380
Algebra → Quadratic Equations → Solving by Factorisation
·
Easy
Add
Solve the following quadratic equation by factorisation method:
x
2
+
x
−
20
=
0
x^2 + x - 20 = 0
x
2
+
x
−
20
=
0
.
Show model answer
[QQ2(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q381
#381
Algebra → Arithmetic Progression → nth Term of an A.P.
·
Easy
Add
Given A.P. is
12
,
16
,
20
,
24
,
…
12, 16, 20, 24, \ldots
12
,
16
,
20
,
24
,
…
Find the 24th term of this progression.
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[QQ2(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q382
#382
Algebra → Statistics → Mean, Median and Mode of Grouped Data
·
Easy
Add
If
∑
x
i
f
i
=
1265
\sum x_i f_i = 1265
∑
x
i
f
i
=
1265
and
N
=
50
N = 50
N
=
50
, then find the mean of the given data.
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[QQ2(B)(v) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q383
#383
Algebra → Financial Planning → Goods and Services Tax (GST)
·
Moderate
Add
Shreekar bought a Laptop with
10
%
10\%
10%
discount on printed price. The printed price of that Laptop was
₹
50,000
\text{₹}\,50{,}000
₹
50
,
000
.
18
%
18\%
18%
GST was charged on discounted price. Complete the activity to find the amount of CGST and SGST. What amount did Shreekar pay?
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[QQ3(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q384
#384
Algebra → Quadratic Equations → Roots of a Quadratic Equation
·
Moderate
Add
One of the roots of the quadratic equation
5
m
2
+
2
m
+
k
=
0
5m^2 + 2m + k = 0
5
m
2
+
2
m
+
k
=
0
is
−
7
5
\dfrac{-7}{5}
5
−
7
. Complete the activity to find the value of
k
k
k
.
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[QQ3(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q385
#385
Algebra → Linear Equations in Two Variables → Word Problems and Applications
·
Moderate
Add
Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the numbers.
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[QQ3(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q386
#386
Algebra → Arithmetic Progression → Word Problems and Applications
·
Moderate
Add
Sachin invested some amount in a National Saving Certificate Scheme. In the first year he invested
₹
5,000
\text{₹}\,5{,}000
₹
5
,
000
, in the second year
₹
7,000
\text{₹}\,7{,}000
₹
7
,
000
, in the third year
₹
9,000
\text{₹}\,9{,}000
₹
9
,
000
and so on. Find the total amount that he invested in 12 years.
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[QQ3(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q387
#387
Algebra → Probability → Probability of an Event
·
Moderate
Add
There are six cards in a box, each bearing a number from 0 to 5. Find the probability of each of the following events, that: (1) The number on the card drawn is a natural number. (2) The number on the card drawn is a whole number.
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[QQ3(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q388
#388
Algebra → Statistics → Pictorial Representation of Statistical Data
·
Moderate
Add
Draw a histogram of the following data: | Height of Students (cm) | No. of Students | |---|---| | 135–140 | 4 | | 140–145 | 12 | | 145–150 | 16 | | 150–155 | 8 |
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[QQ3(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q389
#389
Algebra → Quadratic Equations → Relation between Roots and Coefficients
·
Hard
Add
The sum of two roots of a quadratic equation is 7 and sum of their cubes is 91, find the equation.
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[QQ4(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q390
#390
Algebra → Financial Planning → Shares — Face Value, Market Value, Brokerage
·
Moderate
Add
Smt. Tejaswini purchased 100 shares of FV
₹
80
\text{₹}\,80
₹
80
when the MV is
₹
900
\text{₹}\,900
₹
900
. She paid brokerage at the rate of
0.5
%
0.5\%
0.5%
and
18
%
18\%
18%
GST on brokerage. Find the following: (1) Net amount paid for 100 shares. (2) Brokerage paid on sum invested. (3) GST paid on brokerage. (4) Total amount paid for 100 shares.
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[QQ4(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q391
#391
Algebra → Statistics → Mean, Median and Mode of Grouped Data
·
Hard
Add
The following table shows the funds collected by 105 students for flood affected people. Find the median of the data. | Fund (Rupees) | No. of Students | |---|---| | 10–20 | 10 | | 20–30 | 37 | | 30–40 | 15 | | 40–50 | 20 | | 50–60 | 7 | | 60–70 | 8 | | 70–80 | 8 |
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[QQ4(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q392
#392
Algebra → Statistics → Pictorial Representation of Statistical Data
·
Hard
Add
A survey was conducted in the school. Student using different modes of transport is given below: | Mode of Transport | Percentage of Students | |---|---| | Bicycle | 35 | | Bus |
a
a
a
| | Railway |
2
a
2a
2
a
| | Rickshaw | 20 | Find the value of
a
a
a
and draw the Pie diagram.
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[QQ5(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q393
#393
Algebra → Linear Equations in Two Variables → Word Problems and Applications
·
Hard
Add
There are some students in group A and group B. If one student goes from group A to group B, then the number of students in both groups is same. But if one student goes from group B to group A, then the number of students in group A becomes twice of group B. Find the number of students in each group.
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[QQ5(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2026 board paper · 2026]
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Q394
#394
Algebra → Linear Equations in Two Variables → Determinant Method (Cramer's Rule)
·
Easy
Add
∣
1
2
3
4
∣
\begin{vmatrix} 1 & 2 \\ 3 & 4 \end{vmatrix}
1
3
2
4
. Write the degree of the given determinant.
A
1
B
2
C
3
D
4
Tap an option to check your answer.
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[QQ1(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q395
#395
Algebra → Quadratic Equations → Roots of a Quadratic Equation
·
Easy
Add
From the following equations which one is the quadratic equation?
A
5
x
−
3
=
x
2
\dfrac{5}{x} - 3 = x^2
x
5
−
3
=
x
2
B
x
(
x
+
5
)
=
2
x(x + 5) = 2
x
(
x
+
5
)
=
2
C
n
−
1
=
2
n
n - 1 = 2n
n
−
1
=
2
n
D
1
x
2
(
x
+
2
)
=
x
\dfrac{1}{x^2}(x + 2) = x
x
2
1
(
x
+
2
)
=
x
Tap an option to check your answer.
Show solution
[QQ1(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q396
#396
Algebra → Arithmetic Progression → nth Term of an A.P.
·
Easy
Add
Find the common difference of the following A.P.:
4
,
4
,
4
,
…
4, 4, 4, \ldots
4
,
4
,
4
,
…
A
1
B
8
C
4
D
0
Tap an option to check your answer.
Show solution
[QQ1(A)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q397
#397
Algebra → Probability → Probability of an Event
·
Easy
Add
Which number cannot represent a probability?
A
2
3
\dfrac{2}{3}
3
2
B
15
10
\dfrac{15}{10}
10
15
C
15
%
15\%
15%
D
0.7
0.7
0.7
Tap an option to check your answer.
Show solution
[QQ1(A)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q398
#398
Algebra → Linear Equations in Two Variables → Methods of Solving Linear Equations
·
Easy
Add
If
2
x
+
y
=
7
2x + y = 7
2
x
+
y
=
7
and
x
+
2
y
=
11
x + 2y = 11
x
+
2
y
=
11
, then find the value of
x
+
y
x + y
x
+
y
.
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[QQ1(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q399
#399
Algebra → Arithmetic Progression → nth Term of an A.P.
·
Easy
Add
Find the first term of the given sequence:
t
n
=
3
n
−
4
t_n = 3n - 4
t
n
=
3
n
−
4
.
Show model answer
[QQ1(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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Q400
#400
Algebra → Financial Planning → Goods and Services Tax (GST)
·
Easy
Add
How many alpha numerals are there in the format of GSTIN?
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[QQ1(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2025 board paper · 2025]
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