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Exam: Maharashtra State Board Class 10
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Q926
#926
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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Q927
#927
Algebra → Linear Equations in Two Variables → Word Problems and Applications
·
Moderate
·
Has image
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□
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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Q928
#928
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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Q929
#929
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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Q930
#930
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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Q931
#931
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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Q932
#932
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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Q933
#933
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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Q934
#934
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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Q935
#935
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
.
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[QQ3(B)(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q936
#936
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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Q937
#937
Algebra → Probability → Probability of an Event
·
Moderate
Add
One coin and a die are thrown simultaneously. Find the probability of the following events: Event A: To get a head and a prime number. Event B: To get a tail and an odd number.
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[QQ3(B)(iv) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q938
#938
Algebra → Quadratic Equations → Word Problems and Applications
·
Hard
Add
A tank can be filled up by two taps in 6 hours. The smaller tap alone takes 5 hours more than the bigger tap alone. Find the time required by each tap to fill the tank separately.
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[QQ4(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q939
#939
Algebra → Statistics → Pictorial Representation of Statistical Data
·
Moderate
Add
The following table shows the classification of the percentage of marks of students and the number of students. Draw the frequency polygon from the table without drawing a histogram: | Result (Percentage) | Number of Students | |---|---| | 20–40 | 25 | | 40–60 | 65 | | 60–80 | 80 | | 80–100 | 15 |
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[QQ4(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q940
#940
Algebra → Arithmetic Progression → Sum of n Terms of an A.P.
·
Moderate
Add
In a 'Mahila Bachat Gat', Kavita invested from the first day of the month ₹20 on the first day, ₹40 on the second day and ₹60 on the third day. If she saves like this, then what would be her total saving in the month of February 2020?
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[QQ4(iii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q941
#941
Algebra → Statistics → Pictorial Representation of Statistical Data
·
Moderate
·
Has image
Add
In the given figure, the pie diagram represents the amount spent on different sports by a school administration in a year. If the money spent on football is ₹9,000, answer the following questions: (a) What is the total amount spent on sports? (b) What is the amount spent on cricket?
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[QQ5(i) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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Q942
#942
Algebra → Linear Equations in Two Variables → Graph of Linear Equations
·
Moderate
Add
Draw the graph of the equation
x
+
y
=
4
x + y = 4
x
+
y
=
4
and answer the following questions: (a) Which type of triangle is formed by the line with the X and Y-axes based on its sides? (b) Find the area of that triangle.
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[QQ5(ii) · Maharashtra State Board Class 10 (SSC) — Algebra (Mathematics Part I), March 2024 board paper · 2024]
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