CBSE Class 9 Maths Exam 2025: The Central Board of Secondary Education (CBSE) Class 10th and 12th board exams 2025 are planned to start from February 15, 2025. The school authorities are planning to conduct the 9th and 11th exams alongside the board exams. Solving a variety of questions is the key to score better in the internal examinations. A list of case study based questions for Class 9 Maths students is provided below. Check and download the PDF.
CBSE Class 9 Case Study Based Questions for 2025 Exams
1. Shalini has to reach her office every day at 8 am. On the way to her office, she drops her brother at school. Now, the location of Shalini’s home, her brother’s school and her office are represented by the map below. Using the details given, answer the following questions.
(i) Find the coordinates of Shalini's home.
(ii)What are the coordinates of Origin.
(iii) Find the distance between the Shalini's house and school
(iv) What are the coordinate of her brother's school ?
2. Students of a school are standing in rows and columns in their playground for a drill practice. A, B, C and D are the positions of four students as shown in the figure.
3. Rajan planned to celebrate his daughter's birthday in a small orphanage centre. He bought apples to give to children and adults working there. Rajan donated 3 apples to each children and 4 apples to each adult working there along with birthday cake. He distributed 100 total apples.
(i) How to represent the above situation in linear equations in two variables by taking the
number of children as 'x' and the number of adults as 'y'?
(ii) If the number of children is 20, then find the number of adults
(iii) Find the value of b, if x = 9, y = 10 is a solution of the equation 3x + 5y = 11b.
4. In a trip to a museum in Delhi, students observed that one of the halls is not a rectangle. They imagined that if the edges of the hall’s floor are extended it will appear as lines exhibited in Euclid’s 5th postulate . Later on the way back to school, they discussed Euclid’s other axioms and postulates with their teacher. Next day they had a revision class in school where teacher asked them following questions:
a) State the first postulate of Euclid .
b) If PQ = QR and QR = RP , then PQ = RP. Identify the axiom used in this.
c) State Euclid’s 5th postulate with a figure OR Does Euclid’s 5th postulate imply the existence of parallel lines ? Explain.
5. Rohan, a student of class 9th learnt that Labour day is celebrated on May 1st. He learnt the importance of house help and how everyone should respect each other’s work. Rohan’s maid has 2 children . Both of them have equal number of dresses . So Rohan, on his birthday, plans to give both of them same number of dresses.
a) If the children had x dresses each and Rohan gifts them 2 dresses , then how many
dresses will each child have after Rohan’s birthday?
b) Will the children have equal number of dresses after Rohan’s birthday ? Which Euclid’s
axiom is used here?
c) If p + q = 7 , then p + q ‒ r = 7 ‒ r . Is any axiom used here? If yes, state the axiom.
OR
If ∠1= ∠2 , then 2∠1= 2∠2 . Is any axiom used here? If yes, state the axiom .
6. a) A straight line may be drawn from any one point to any other point b) Things which are equal to the same thing are equal to one another. c) If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of the angles is less than two right angles.
OR
Yes , if the two straight lines make the interior angles on the same side of it taken together as equal to two right angles, then the two straight lines will never meet and will be parallel.
7. As shown In the village of Rampur there was a big pole PC. This pole was tied with a strong wire of 10 m length. Once there was a big spark on this pole, thus wires got damaged very badly. Any small fault was usually repaired with the help of a rope which normal board electricians were carrying on bicycles. This time electricians need a staircase of 10 m so that it can reach at point P on the pole and this should make 60° with line AC.
i)a.PC ii) d. ∠x = ∠y iii)d. 30°
8. A group of students is exploring different types quadrilaterals. They encountered the following scenario:
Four friends, Aryan, Bhavana, Chetan, and Divya, participated in a geometry project. They constructed a figure with four sides and made the following observations:
- The opposite sides of the figure are parallel.
- The opposite angles of the figure are congruent.
- The figure has two pairs of congruent adjacent sides.
- The sum of the measures of the interior angles of the figure is 360 degrees.
Based on this information, the students were asked to analyze the properties of the quadrilateral they constructed. Let’s see if you can answer the questions correctly:
i) The type of quadrilateral formed by their figure is:
(a) Parallelogram
(b) Rhombus
(c) Rectangle
(d) Square
ii). The measure of each angle in the figure is:
(a) 90 degrees
(b) 120 degrees
(c) 135 degrees
(d) 180 degrees
iii). The figure is an example of a quadrilateral that satisfies the:
(a) Opposite sides are equal condition
(b) Opposite angles are congruent condition
(c) Diagonals bisect each other condition
(d) None of the above
iv). The sum of the measures of the exterior angles of the figure is:
(a) 90 degrees
(b) 180 degrees
(c) 270 degrees
(d) 360 degrees
Check | CBSE Class 9 Maths Syllabus 2024-25
Solve | CBSE Class 9 Maths Sample Paper 2024-25
9. A farmer has a circular garden as shown in the picture above . He has a different type of tree , plants and flower plants in his garden. In the garden, there are two mango trees A and B at a distance of AB=10m. Similarly has two Ashok trees at the same distance of 10m as shown at C and D AB subtends ∠AOB=120° at the center O, The perpendicular distance of AC from center is 5m the radius of the circle is 13m.
Q.1 what is the value of ∠COD?
(i) 60° (ii) 120° (iii) 80° (iv) 100°
Q.2 What is the distance between mango tree A and Ashok tree C?
(i) 12m (ii) 24m (iii) 13m (iv) 15m
Q.3 What is the value of angle ∠OAB ?
(I) 60° (ii) 120° (iii) 30° (iv) 90°
OR
Q.4 What is the value of angle ∠OCD ?
(i) 30° (ii) 120° (iii) 60° (iv) 90°
10. Howard University organized an educational tour for students, where student visited the Giza pyramid (shown in figure). After seeing the pyramid, some questions arise in minds of students.
Answer the following questions:
1. The semi perimeter of ▲BDC is:
(a) 30 m (b) 36 m (c) 38 m (d) 39 m
2. The area of ▲BDC is:
(a) 12 √105 m2 (b) 24 √105 m2 (c) 20 √105 m2 (d) 26 √105 m2
3. The semi-perimeter of ▲ABC is :
(a) 128m (b) 130m (c) 132m (d) 127m
4. The area of ▲ABC is:
(a) 1220m2 (b) 1320m2 (c) 105 √127m2 (d) 1420m2
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