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Exam: Maharashtra State Board Class 10
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Q901
#901
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
.
Show model answer
[QQ2(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q902
#902
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
.
Show model answer
[QQ2(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q903
#903
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.
Show model answer
[QQ2(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q904
#904
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
|
Show model answer
[QQ2(B)(v) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q905
#905
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
Show model answer
[QQ3(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q906
#906
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.
Show model answer
[QQ3(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q907
#907
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
.
Show model answer
[QQ3(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q908
#908
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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Q909
#909
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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Q910
#910
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 |
Show model answer
[QQ3(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q911
#911
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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Q912
#912
Algebra → Statistics → Pictorial Representation of Statistical Data
·
Moderate
Add
Show the following data by a frequency polygon: | Electricity bill (₹) | Families | |---|---| | 200–400 | 240 | | 400–600 | 300 | | 600–800 | 450 | | 800–1000 | 350 | | 1000–1200 | 160 |
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[QQ4(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q913
#913
Algebra → Quadratic Equations → Word Problems and Applications
·
Hard
Add
The sum of the squares of five consecutive natural numbers is 1455. Find the numbers.
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[QQ4(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q914
#914
Algebra → Linear Equations in Two Variables → Graph of Linear Equations
·
Moderate
Add
Draw the graph of the equation
x
+
2
y
=
4
x + 2y = 4
x
+
2
y
=
4
. Find the area of the triangle formed by the line intersecting the X-axis and the Y-axis.
Show model answer
[QQ5(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q915
#915
Algebra → Statistics → Pictorial Representation of Statistical Data
·
Moderate
Add
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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[QQ5(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q916
#916
Algebra → Quadratic Equations → Roots of a Quadratic Equation
·
Easy
Add
If 3 is one of the roots of the quadratic equation
k
x
2
−
7
x
+
12
=
0
kx^2 - 7x + 12 = 0
k
x
2
−
7
x
+
12
=
0
, then
k
=
k =
k
=
______
A
1
B
-1
C
3
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 2024 board paper · 2024]
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Q917
#917
Algebra → Linear Equations in Two Variables → Graph of Linear Equations
·
Easy
Add
To draw the graph of
x
+
2
y
=
4
x + 2y = 4
x
+
2
y
=
4
, find
x
x
x
when
y
=
1
y = 1
y
=
1
:
A
1
B
2
C
-2
D
6
Tap an option to check your answer.
Show solution
[QQ1(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q918
#918
Algebra → Arithmetic Progression → nth Term of an A.P.
·
Easy
Add
For an A.P.,
t
7
=
4
t_7 = 4
t
7
=
4
,
d
=
−
4
d = -4
d
=
−
4
, then
a
=
a =
a
=
______
A
6
B
7
C
20
D
28
Tap an option to check your answer.
Show solution
[QQ1(A)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q919
#919
Algebra → Financial Planning → Goods and Services Tax (GST)
·
Easy
Add
In the format of GSTIN, there are ______ alpha-numerals.
A
9
B
10
C
15
D
16
Tap an option to check your answer.
Show solution
[QQ1(A)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q920
#920
Algebra → Linear Equations in Two Variables → Methods of Solving Linear Equations
·
Easy
Add
If
17
x
+
15
y
=
11
17x + 15y = 11
17
x
+
15
y
=
11
and
15
x
+
17
y
=
21
15x + 17y = 21
15
x
+
17
y
=
21
, then find the value of
x
−
y
x - y
x
−
y
.
Show model answer
[QQ1(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q921
#921
Algebra → Arithmetic Progression → nth Term of an A.P.
·
Easy
Add
Find the first term of the sequence
t
n
=
3
n
−
2
t_n = 3n - 2
t
n
=
3
n
−
2
.
Show model answer
[QQ1(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q922
#922
Algebra → Financial Planning → Shares — Face Value, Market Value, Brokerage
·
Easy
Add
If the face value of a share is ₹100 and the market value is ₹150. If the rate of brokerage is 2%, find the brokerage paid on one share.
Show model answer
[QQ1(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q923
#923
Algebra → Probability → Sample Space and Events
·
Easy
Add
Two digit numbers are formed using the digits 2, 3 and 5 without repeating a digit. Write the sample space.
Show model answer
[QQ1(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q924
#924
Algebra → Linear Equations in Two Variables → Methods of Solving Linear Equations
·
Easy
Add
If
(
0
,
2
)
(0, 2)
(
0
,
2
)
is the solution of
2
x
+
3
y
=
k
2x + 3y = k
2
x
+
3
y
=
k
, then complete the activity to find the value of
k
k
k
.
Show model answer
[QQ2(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q925
#925
Algebra → Quadratic Equations → Relation between Roots and Coefficients
·
Moderate
Add
If 2 and 5 are the roots of a quadratic equation, then complete the activity to form the quadratic equation.
Show model answer
[QQ2(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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