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Case Study Based Questions Class 10  Mathematics
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Case Study Based Questions Class 10
CASE STUDY 1, CHAPTER 1, REAL NUMBERS
Question  Answer 
1  3 
2  7 
3  24 
4  1 
5  2 
CASE STUDY 2 CHAPTER 1 REAL NUMBERS
To enhance the reading skills of grade X students, the
school nominates you and two of your friends to set up a class library. There
are two sections section A and section B of grade X. There are 32 students in
section A and 36 students in section B.
Question 1
What is the minimum number of books you will acquire for the class library, so that they can be distributed equally among students of Section A or Section B?
Question 2
LCM is true then, then find the HCF (32 , 36)
Question 3
Question 4
Question 5
Question 
Answer 
1 
288 
2 
4 
3 
2^{2} x 3^{2} 
4 
Composite number 
5 
a^{2}b^{2} 
CASE STUDY 1 CHAPTER 2 POLYNOMIALS
A car moves on a highway. The path it traces is given below
Question 4
The number of zeroes of the polynomial representing the whole curve is :
Question 
Answer 
1 
Parabola 
2 
1 and 3 
3 
x^{2}  x – 2 
4 
4 
5 
6 units 
CASE STUDY 2 CHAPTER 2 POLYNOMIALS
An asana is a body posture, originally and still a general
term for a sitting meditation pose, and later extended in hatha yoga and modern
yoga as exercise, to any type of pose or position, adding reclining, standing,
inverted, twisting, and
balancing poses. In the figure, one can observe that poses
can be related to representation of quadratic polynomial.
1. The shape of the poses shown is
a) Spiral
b) Ellipse
c) Linear
d) Parabola
2. The graph of parabola opens downwards, if _______
a) a ≥ 0
b) a = 0
c) a < 0
d) a > 0
3. In the graph, how many zeroes are there for the polynomial?
b) 1
c) 2
d) 3
Q4) The two zeroes in the above shown graph are
a) 2, 4
b) 2, 4
c) 8, 4
d) 2,8
5. The zeroes of the quadratic polynomial are
a)
b)
c)
d)
CASE STUDY 1, CHAPTER 5,
ARITHMETIC PROGRESSION
Case Study1
Your elder brother wants to buy a car and plans to
take loan from a bank for his car. He repays his total loan of Rs 1,18,000 by
paying every month starting with the first instalment of Rs 1000. If he
increases the instalment by Rs 100 every month , answer the following:
Read the above information and answer the following
questions
Question 1:What is the amount paid by him in 30th installment
Question 2: If total installments are 40 then amount paid in the last installment?
Question 3: The ratio of the 1st installment to the last installment is
ANSWER KEY
Question
Answer
1
3900
2
4900
3
10 : 49
Question  Answer 
1  3900 
2  4900 
3  10 : 49 
Case Study 2
S.No 
Questions 
Marks 
I 
If the first
circular row has 30 seats, how many seats will be there in the 10th
row? Ans 120 
1 
II 
For 1500 seats in
the auditorium, how many rows need to be there? Ans 15 
1 
III 
If there were 17
rows in the auditorium, how many seats will be there in the middle row? Ans 110 
2 
Your friend Veer wants to participate in a 200m race. He can currently run that distance in 51 seconds and with each day of practice it takes him 2 seconds less.He wants to do in 31 seconds .
Based on the above informations answer the following questions
Question 1
Write the AP sequence for this situation.
Question 2
What is the minimum number of days he needs to practice till his goal is achieved
Question 3
Find the value of x, for which 2x, x+ 10, 3x + 2 are three consecutive terms of an AP
ANSWER KEY
Question
Answer
1
51, 49, 47, ....
2
11 Days
3
x = 6
Question  Answer 
1  51, 49, 47, .... 
2  11 Days 
3  x = 6 
CASE STUDY 1, CHAPTER 7,
COORDINATE GEOMETRY
Shivani is an interior decorator, To design her own living room she designed wall shelves. The graph of intersecting wall shelves is given below.
Based on the above information, answer the following questions
a) (6, 4)
b) (6, 4)
c) (6, 4)
d) (6, 4)
a) (3, 2/3)
b) (3, 1)
c) (3, 1)
d) (3, 2/3)
a) 2:3
b) 2:1
c) 1:2
d) 1:1
a) 16 units
b) 3 units
c) 2 units
d) units
a) I(2, 0), J(2, 6), K(8, 6), L(8, 2)
b) I(2, 2), J(2, 6), K(8, 6), L(8, 2)
c) I(2, 0), J(2, 6), K(8, 6), L(8, 2)
d) I(2, 0), J(2, 6), K(8, 6), L(8, 2)
Question 
Answer 
1 
c 
2 
b 
3 
d 
4 
c 
5 
b 
CASE STUDY 2, CHAPTER 7,
COORDINATE GEOMETRY
A rough coordinate map of Lahiri’s Locality is shown below
a) (11, 8)
b) (7, 2)
c) (2, 7)
d) (8, 6)
a) 5 units
b) units
c) units
d) 17 units
a) x = y = 4
b) x + y = 7
c) x + y = 7
d) x – y = 7
a) 34 units
b) 28 units
c) () units
d) () units
a) (4, 5)
b) (4, 5)
c) (4, 5)
d) (0, 5)
Question 
Answer 
1 
b 
2 
c 
3 
b 
4 
d 
5 
c 
CASE STUDY 3, CHAPTER 7, COORDINATE GEOMETRY
Coordinate geometry is the combination of algebra and geometry. In other words we can say that coordinate geometry is a technique in which we solve the geometrical problems algebraically.
In a classroom, 4 friends are seated at the points A, B, C and D as shown in Fig. Shyam and Ekta walk into the class and after observing for a few minutes tries to find the answers of the following questions.
a) A(2,3), B(3,5), C(5,1), D(0, 1)
b) A(2,3), B(3,5), C(5,1), D(0, 1)
c) A(2,3), B(3,5), C(5,1), D(0, 1)
a) AB =
b) AB =
c) AB = , BC =
d) AB =
Q 3) Distances: AC and BD
a) AC = , BD =
b) AC = , BD =
c) AC = , BD =
d) AC = , BD =
Question 
Answer 
1 
b 
2 
d 
3 
a 
4 
b 
5 
a 
CASE STUDY 4, CHAPTER 7, COORDINATE GEOMETRY
A tiling or tessellation of a
flat surface is the covering of a plane using one or more geometric shapes,
called tiles, with no overlaps and no gaps. Historically, tessellations were
used in ancient Rome and in Islamic art. You may find tessellation patterns on
floors, walls, paintings etc. Shown below is a tiled floor in the
archaeological Museum of Seville, made using squares, triangles and hexagons.
A craftsman thought of making a floor pattern after being inspired by the above
design. To ensure accuracy in his work, he made the pattern on the Cartesian
plane. He used regular octagons, squares and triangles for his floor
tessellation pattern
Q. No. 
Question 
Marks 
I 
What is the length of the line segment
joining points B and F? Ans √58 
1 
II 
The centre ‘Z’ of the figure will be the
point of intersection of the diagonals of quadrilateral WXOP. Then what are
the coordinates of Z? Ans (1/2,
11/2) 
1 
III 
What are the coordinates of the point on y
axis equidistant from A and G? Ans
57/10 
2 
CASE STUDY 1, CHAPTER 9,
APPLICATION OF TRIGONOMETRY
Based on the above
information answer the following questions.
Q. No. 
Question 
Marks 







[OR] Find the height BQ if the angle of the elevation from P to Q be 45°. Ans 18(√3+1)m 

CASE STUDY 1, CHAPTER 12,
AREA RELATED TO CIRCLES
Question  Answer 
1  c 
2  a 
3  c 
4  a 
5  a 
CASE STUDY 2, CHAPTER 12,
AREA RELATED TO CIRCLES
Question  Answer 
1  b 
2  b 
3  d 
4  d 
5  c 
Based on the given information, answer the following questions.
Q1) If the water in the cylinder is filled to a height of 5 cm. What is the volume (in cu.cm) of water in the cylinder?
a) 145Ï€ b) 175Ï€ c) 245Ï€ d) 490Ï€
Q2) Volume (in cm^{3}) of water displayed when sphere submerged is
a) 166.6Ï€ b) 83.6Ï€ c) 41.8Ï€ d) 333.2Ï€
Q3) Volume (in cm^{3}) of the sphere is equal to
a) 166.6Ï€ b) 83.6Ï€ c) 41.8Ï€ d) 333.2Ï€
Q4) The radius of sphere in cm is approximately
a) 3.5 b) 4 c) 4.5 d) 5
Q5) The ratio of the curved surface areas of the sphere and the container is
a) 5:7 b) 7:20 c) 16:35 d) 81:140
Question  Answer 
1  c 
2  a 
3  a 
4  d 
5  a 
CASE STUDY2 CHAPTER  13
SURFACE AREA AND VOLUME
State government wants to arrange a camp in a remote area for the welfare of villagers, who are facing health issues. They make a tent as shown in the figure below
Based on the above information answer the following questions
Q1) Slant height of the conical part is
a) 6m b) 8m c) 10m d) 7.5m
Q2) Curved surface area of the conical part is
a) 40
Q3) Curved surface area of the cylindrical part is
a) 96
Q4) Volume of air in the tent is
a) 125
Q5) Cost of canvas required to make the tent at the rate of
a) ₹ 1936 b)
Question  Answer 
1  c 
2  b 
3  a 
4  d 
5  a 
CASE STUDY3 CHAPTER  13
SURFACE AREA AND VOLUME
Q1) What is the total surface area of a cuboid?
a) lb + bh + hl
b) 2(lb + bh + hl)
c) 2(lb + bh)
d) 1^{2} + b^{2} + h^{2}
Q2) What is the curved surface area of hemispherical dome ?
a) 908Ï€ m^{2 }b) 968Ï€ m^{2 }c) 340Ï€ m^{2 }d) 780Ï€ m^{2}
Q3) What is the height of the cuboidal part ?
a) 14 m b) 7 m c) 29 m d) 18 m
Q4) What is the circumference of the base of the dome ?
a) 34 Ï€ m b) 22 Ï€ m c) 44 Ï€ m d) 55 Ï€ m
Q5) The total surface area of a hemispherical dome having radius 7 cm is
a) 462 cm^{2} b) 294 cm^{2} c) 588 cm^{2} d) 154 cm^{2}
^{}
Question  Option  Answer 
1  b  2(lb + bh + hl) 
2  b  968Ï€ m^{2} 
3  c  29 m 
4  c  44 Ï€ m 
5  a  462 cm^{2} 
CASE STUDY1 CHAPTER  15 PROBABILITY
A traditional die is a cube with each of its six faces marked with a different number of dots (pips) from one to six. When thrown or rolled, the die comes to rest showing a random integer from one to six on its upper surface, with each value being equally likely.
A die is rolled.
Q1) The probability of getting a prime number is
a) 4/6 b) 3/6 c) 2/6 d) None of these
Q2) The probability of getting a nonprime number is
a) 4/6 b) 3/6 c) 2/6 d) 5/6
Q3) The probability of getting a composite number is
a) 4/6 b) 3/6 c) 2/6 d) None of these
Q4) The probability of getting a divisor of 24 is
a) 3/6 b) 4/6 c) 5/6 d) 1
Q5) The probability of getting a number less than 8 is
a) 0 b) 1/2 c) 1/3 d) 1
Question  Answer 
1  b 
2  b 
3  c 
4  c 
5  d 
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