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Exam: Maharashtra State Board Class 10
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Q601
#601
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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Q602
#602
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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Q603
#603
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.
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[QQ5(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2023 board paper · 2023]
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Q604
#604
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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Q605
#605
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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Q606
#606
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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Q607
#607
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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Q608
#608
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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Q609
#609
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
.
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[QQ1(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q610
#610
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
.
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[QQ1(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q611
#611
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.
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[QQ1(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q612
#612
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.
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[QQ1(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q613
#613
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
.
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[QQ2(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q614
#614
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.
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[QQ2(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q615
#615
Algebra → Probability → Sample Space and Events
·
Easy
Add
Two coins are tossed simultaneously. Complete the activity to write the sample space and the given events A and B in the set form. Event A: To get at least one head. Event B: To get no head.
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[QQ2(A)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q616
#616
Algebra → Linear Equations in Two Variables → Word Problems and Applications
·
Moderate
·
Has image
Add
□
A
B
C
D
\square ABCD
□
A
B
C
D
is a rectangle. Write two simultaneous equations using the information given in the diagram, in the form
a
x
+
b
y
=
c
ax + by = c
a
x
+
b
y
=
c
.
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[QQ2(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q617
#617
Algebra → Quadratic Equations → Solving by Factorisation
·
Easy
Add
Solve the following quadratic equation using the factorisation method:
x
2
+
x
−
20
=
0
x^2 + x - 20 = 0
x
2
+
x
−
20
=
0
.
Show model answer
[QQ2(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q618
#618
Algebra → Arithmetic Progression → nth Term of an A.P.
·
Easy
Add
Find the 19th term of the following A.P.: 7, 13, 19, 25, ...
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[QQ2(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q619
#619
Algebra → Probability → Probability of an Event
·
Easy
Add
A card is drawn from a well shuffled pack of 52 playing cards. Find the probability that the card drawn is a face card.
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[QQ2(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q620
#620
Algebra → Statistics → Mean, Median and Mode of Grouped Data
·
Easy
Add
The following table shows the classification of the number of workers and the number of hours they work in a software company. Prepare a 'less than' upper limit type cumulative frequency distribution table: | Number of hours daily | Number of workers | |---|---| | 8–10 | 150 | | 10–12 | 500 | | 12–14 | 300 | | 14–16 | 50 |
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[QQ2(B)(v) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q621
#621
Algebra → Statistics → Mean, Median and Mode of Grouped Data
·
Moderate
Add
The following frequency distribution table shows the classification of the number of vehicles and the volume of petrol filled in them. Complete the activity to find the mode of the volume of petrol filled. | Class (Petrol filled in Liters) | Frequency (Number of Vehicles) | |---|---| | 0.5–3.5 | 33 | | 3.5–6.5 | 40 | | 6.5–9.5 | 27 | | 9.5–12.5 | 18 | | 12.5–15.5 | 12 |
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[QQ3(A)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q622
#622
Algebra → Financial Planning → Goods and Services Tax (GST)
·
Moderate
Add
The total value (with GST) of a remote controlled toy car is ₹2360. The rate of GST is 18% on toys. Complete the activity to find the taxable value for the toy car.
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[QQ3(A)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q623
#623
Algebra → Quadratic Equations → Solving by Formula and Completing the Square
·
Moderate
Add
Solve the following quadratic equation by the formula method:
3
m
2
−
m
−
10
=
0
3m^2 - m - 10 = 0
3
m
2
−
m
−
10
=
0
.
Show model answer
[QQ3(B)(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q624
#624
Algebra → Linear Equations in Two Variables → Determinant Method (Cramer's Rule)
·
Moderate
Add
Solve the following simultaneous equations using Cramer's rule:
3
x
−
4
y
=
10
3x - 4y = 10
3
x
−
4
y
=
10
,
4
x
+
3
y
=
5
4x + 3y = 5
4
x
+
3
y
=
5
.
Show model answer
[QQ3(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q625
#625
Algebra → Financial Planning → Shares — Face Value, Market Value, Brokerage
·
Moderate
Add
50 shares of face value ₹10 were purchased for the market value of ₹25. The company declared a 30% dividend on the shares, then find: (1) Sum invested (2) Dividend received (3) Rate of return.
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[QQ3(B)(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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