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Case Study Questions Class 10 Maths Arithmetic Progressions

Case study questions class 10 maths chapter 5 arithmetic progressions.

CBSE Class 10 Case Study Questions Maths Arithmetic Progressions. Term 2 Important Case Study Questions for Class 10 Board Exam Students. Here we have arranged some Important Case Base Questions for students who are searching for Paragraph Based Questions Arithmetic Progressions.

At Case Study Questions there will given a Paragraph. In where some Important Questions will made on that respective Case Based Study. There will various types of marks will given 1 marks, 2 marks, 3 marks, 4 marks.

CBSE Case Study Questions Class 10 Maths Arithmetic Progressions

Case Study – 1

Q.1) Aditya is celebrating his birthday. He invited his friends. He bought a packet of toffees/candies which contains 120 candies. He arranges the candies such that in the first row there are 3 candies, in second there are 5 candies, in third there are 7 candies and so on.

[ KVS Raipur 2021 – 22 ]

On the basis of the above information, answer any four of the following questions:

(i) Find the total number of rows of candies.

(ii) Find the difference in number of candies placed in 7th and 3rd rows.

(i) There is an AP: 3,5,7,

a = 3 & d = 2 so apply let there are n rows sum of n terms = n/2 {2 + ( − 1)}

120 = n/2 {2 × 3 + (n − 1) 2}

we get n 2 + 2n − 120 = 0 then n = 10 & − 12 So there are 10 rows

(ii) 7th row=3+(7-1)X2 = 3 + 12 = 15 and 3rd row = 3+(3-1) X 2 = 7 their diff.= 8

CASE STUDY 2:

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:

[ CBSE Academic Question Bank ]

(1) The amount paid by him in 30th installment is

Answer: (a) 3900

(2) The amount paid by him in the 30 installments is

Answer: (b) 73500

(3) What amount does he still have to pay offer 30th installment?

Answer: (c) 44500

(4) If total installments are 40 then amount paid in the last installment?

Answer: (a) 4900

(5) The ratio of the 1st installment to the last installment is

Answer: (b) 10:49

Case Study – 3

India is competitive manufacturing location due to the low cost of manpower and strong technical and engineering capabilities contributing to higher quality production runs. The production of TV sets in a factory increases uniformly by a fixed number every year. It produced 16000 sets in 6th year and 22600 in 9th year.

1.) In which year, the production is Rs 29,200.

2.) Find the production during first year.

Ans: Rs – 5000

3.) Find the difference of the production during 7th year and 4th year.

Ans: Difference= 18200-11600=6600

4.) Find the production during first 3 years.

Ans: Production during first 3 year= 5000 + 7200 + 9400 = 21600

5.) Find the production during 8th year.

Ans: Production during 8th year is (a+7d) = 5000 + 2 (2200) = 20400

We hope that above case study questions will help you for your upcoming exams. To see more click below – 

• CBSE Class 10 Maths (standard)
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CBSE Case Study Questions for Class 10 Maths Arithmetic Progressions Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 10 Maths Arithmetic Progressions  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 10 Maths Arithmetic Progressions PDF

Checkout our case study questions for other chapters.

• Chapter 3: Pair of Linear Equations in Two Variables Case Study Questions
• Chapter 4: Quadratic Equation Case Study Questions
• Chapter 6: Triangles Case Study Questions
• Chapter 7: Coordinate Geometry Case Study Questions

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Chapter 5 Class 10 Arithmetic Progressions

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Updated for new NCERT Book - 2023-24 Edition

Get solutions of all NCERT Questions with examples of Chapter 5 Class 10 Arithmetic Progressions (AP). Video of all questions are also available. 

In this chapter, we will learn

• What is an AP - and what is First term (a) and Common Difference (d) of an Arithmetic Progression
• Finding n th term of an AP (a n )
• Finding n using a n formula
• Finding AP when some terms are given
• Finding n th term from the last term
• Finding Sum of n terms of an AP ( S n ) - both formulas
• Finding number of terms when Sum is given
• If n th term is given, finding S
• Some statement questions using a n and S n formulas, including optional exercise

Check out the answers to the exercises (including examples and optional) by clicking a link below, or learn from the concepts.

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Case Study Questions for Class 10 Maths Chapter 5 Arithmetic Progression

• Last modified on: 9 months ago
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Question 1:

In a flower bed, there are 43 rose plants in the first row, 41 in the second, 39 in the third and so on.

(i) If there are 11 rose plants in the last row, then number of rose required are (a) 16 (b) 15 (c) 17 (d) 10

(ii) Difference of rose plants in 7th row and 13th row is (a) 11 (b) 12 (c) 13 (d) 14

(iii) If there are x rose plants in 15 rose, then x is equal to (a) 10 (b) 12 (c) 13 (d) 15

(iv) The rose plants in 6th row is (a) 35 (b) 37 (c) 33 (d) 31

(v) The total number of rose plants in 5th and 8th row is (a) 64 (b) 54 (c) 46 (d) 45

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Chapter 1 Real Numbers Chapter 2 Polynomials Chapter 3 Pair of Linear Equations in Two Variables C hapter 4 Quadratic Equations Chapter 5 Arithmetic Progressions Chapter 6 Triangles Chapter 7 Coordinate Geometry Chapter 8 Introduction to Trigonometry Chapter 9 Some Applications of Trigonometry Chapter 10 Circles Chapter 11 Constructions Chapter 12 Areas Related to Circles Chapter 13 Surface Areas and Volumes Chapter 14 Statistics Chapter 15 Probability

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Class 10 Maths Chapter 5 Case Based Questions - Arithmetic Progressions

Case study - 1.

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:

Case Study - 2

Case Study - 3

Based on the above information, answer the following questions:

Q1: Find the production during first year. Ans: We are given that the production of TV sets in the factory is increasing uniformly. This means that we can apply the formula of an arithmetic progression, where the nth term (a_n) is given by a + (n-1)d. Here, 'a' is the first term, 'n' is the term number, and 'd' is the common difference. We know that the 6th year production (a_6) is 16000 and the 9th year production (a_9) is 22600. We can subtract the 6th year production from the 9th year to find the total increase over 3 years, which is 6600. This means that the common difference ('d') is 6600/3 = 2200 sets per year. Substituting the values into the nth term formula: 16000 = a + (6-1)*2200 16000 = a + 11000 => a = 16000 - 11000 => a = 5000 So, the production during the first year was 5000 sets.   Q2: Find the production during 8th year. Ans: We can use the nth term formula again to find the production in the 8th year. a_8 = a + (8-1)*d = 5000 + 7*2200 = 5000 + 15400 = 20400 So, the production during the 8th year was 20400 sets.   Q3: Find the production during first 3 years. Ans:  To find the total production over the first 3 years, we sum the production over each year. In an arithmetic progression, the sum of the first n terms (S_n) is given by n/2 * (2a + (n-1)d). S_3 = 3/2 * (2*5000 + (3-1)*2200) = 1.5 * (10000 + 4400) = 1.5 * 14400 = 21600 So, the total production during the first 3 years was 21600 sets.   Q4: In which year, the production is Rs 29,200. Ans: To find the year when the production was 29200, we can use the nth term formula and solve for n. 29200 = 5000 + (n-1)2200 => 24200 = (n-1)2200 => n-1 = 24200/2200 => n-1 = 11 => n = 12 So, the production was 29200 sets in the 12th year.   Q5: Find the difference of the production during 7th year and 4th year. Ans: We can find the production in the 7th and 4th years using the nth term formula, and then subtract the two. a_7 = 5000 + 6*2200 = 18200 a_4 = 5000 + 3*2200 = 11600 Difference = a_7 - a_4 = 18200 - 11600 = 6600 So, the difference in production between the 7th and 4th years was 6600 sets.  

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• Arithmetic Progression
• Arithmetic Progression and its nth Term

19. Arrangement of shoes in A.P: Case study questions.

Exercise condition:.

• Class 10 Maths
• Chapter 5: Arithmetic Progressions

Important Questions for Class 10 Maths Chapter 5: Arithmetic Progression

Class 10 Maths important questions for Chapter 5, Arithmetic Progression , are provided for students to prepare for board exams 2022-2023. The questions here are based on the NCERT book and are as per the CBSE syllabus . These important questions are created after in-depth research on the exam pattern, previous year papers, exam trends and latest released sample papers of 2022-23. By solving these questions, students can score high marks in the Maths exam. They can cross-check their answers with the solutions provided here. So, students are advised to solve these questions and practise them well. It will boost their confidence level and give them good practice.

Arithmetic progression deals with the concept of a sequence that appears in a pattern, such that there is a common difference between each term of the given series. In this chapter, you will come across finding the nth term of AP, the sum of n terms of AP using the relevant formulas.

Check important questions for all the chapters for Class 10 Maths here.

Students can practice all the questions provided at the end of this page to improve their problem-solving skills on arithmetic progression. These additional questions cover the variety of questions that can be asked in the Class 10 Maths board exam 2022-23.

Also, access: Class 10 Maths Chapter 4 Arithmetic Progression MCQs

Important Questions For Class 10 Chapter 5 With Solutions

Q.1: Write first four terms of the AP when the first term a and the common difference d are given as follows:

(i) a = 10, d = 10 (ii) a = -2, d = 0 (iii) a = 4, d = – 3

(i) a = 10, d = 10

Let an AP be a 1 , a 2 , a 3 , a 4 , a 5 … a 1 = a = 10 a 2 = a 1  + d = 10 + 10 = 20 a 3 = a 2 + d = 20 + 10 = 30 a 4  = a 3  + d = 30 + 10 = 40 a 5 = a 4 + d = 40 + 10 = 50 And so on…

Therefore, the AP will be 10, 20, 30, 40, 50 …

The first four terms of this AP will be 10, 20, 30, and 40.

(ii) a = -2, d = 0

Let an AP be a 1 , a 2 , a 3 , a 4 , a 5 …

a 1 = a = -2 a 2 = a 1 + d = -2 + 0 = -2 a 3 = a 2  + d = -2 + 0 = -2 a 4 = a 3 + d = -2 + 0 = -2

Therefore, the AP will be -2, -2, -2, -2 …

The first four terms of this AP will be -2, -2, -2 and -2.

(iii) a = 4, d = -3

Let an AP be a 1 , a 2 , a 3 , a 4 , a 5 … a 1 = a = 4 a 2 = a 1 + d = 4 – 3 = 1 a 3 = a 2  + d = 1 – 3 = -2 a 4 = a 3 + d = -2 – 3 = -5

Therefore, the AP will be 4, 1, -2, -5 …

And, the first four terms of this AP will be 4, 1, -2 and -5.

Q.2: Which term of the AP: 21, 18, 15, . . . is – 81? Also, is any term 0? Give reason for your answer.

Given AP: 21, 18, 15,…

Here, a = 21,

d = 18 – 21 = –3

Let nth term of the given AP is -81.

So, a n = –81 As we know,

a n  = a + ( n – 1) d Thus,

– 81 = 21 + (n – 1)(– 3) – 81 = 24 – 3n – 105 = – 3n So, n = 35

Therefore, the 35th term of the given AP is – 81.

Next, we want to know if there is any n for which a n  = 0.

If such an n is there, then;

21 + (n – 1) (–3) = 0

⇒  3(n – 1) = 21

⇒ n – 1 = 7

Therefore, the eighth term is 0.

Q.3: Check whether – 150 is a term of the AP: 11, 8, 5, 2 . . .

Given AP: 11, 8, 5, 2, …

First term, a = 11

Common difference, d = a 2  − a 1  = 8 − 11 = −3

Let −150 be the nth term of this AP.

As we know, for an AP,

a n = a + (n − 1) d

-150 = 11 + (n – 1)(-3)

-150 = 11 – 3n + 3

⇒  -164 = -3n

⇒  n = 164/3

Clearly, n is not an integer but a fraction.

Therefore, – 150 is not a term of the given AP.

Q.4: If the 3rd and the 9th terms of an AP are 4 and  -8, respectively, then which term of this AP is zero.

Given that,

3rd term, a 3 = 4 9th term, a 9 = −8

We know that, the nth term of AP is; a n = a + (n − 1) d

Therefore, a 3 = a + (3 − 1) d 4 = a + 2d ……………………………………… (i)

a 9 = a + (9 − 1) d −8 = a + 8d ………………………………………………… (ii)

On subtracting equation (i) from (ii), we get; −12 = 6d d = −2

Substituting d = -2 in equation (i), we get; 4 = a + 2 (−2) 4 = a − 4 a = 8

Let nth term of this AP be zero. a n = a + (n − 1) d 0 = 8 + (n − 1) (−2) 0 = 8 − 2n + 2 2n = 10 ⇒  n = 5

Hence, 5th term of the given AP is 0.

Q.5: Which term of the AP 3, 15, 27, 39, … will be 132 more than its 54th term?

Given AP is: 3, 15, 27, 39, … First term, a = 3 Common difference, d = a 2 − a 1 = 15 − 3 = 12

We know that, a n = a + (n − 1) d

a 54 = a + (54 − 1) d = 3 + (53) (12) = 3 + 636 a 54 = 639

We have to find the term of this AP.which is 132 more than a 54 , i.e. 771. Let nth term be 771. a n = a + (n − 1) d 771 = 3 + (n − 1) 12 768 = (n − 1) 12 ⇒  (n − 1) = 64 ⇒  n = 65

Therefore, the 65th term is 132 more than the 54th term of the given AP.

Alternate Method:

Let nth term be 132 more than 54th term. n = 54 + (132/12)

= 65th term

Q. 6: How many multiples of 4 lie between 10 and 250?

The first multiple of 4 that is greater than 10 is 12.

The next multiple will be 16. Therefore, the series formed as;

12, 16, 20, 24, …

All these are divisible by 4 and thus, all these are terms of an AP with the first term as 12 and the common difference as 4.

When we divide 250 by 4, the remainder will be 2. Therefore, 250 − 2 = 248 is divisible by 4.

The series is as follows. 12, 16, 20, 24, …, 248

Let 248 be the nth term of this AP. First term, a = 12 Common difference, d = 4 a n = 248

As we know, a n = a + (n – 1) d 248 = 12 + (n – 1) × 4 ⇒  236/4 = n – 1 ⇒  59 = n – 1 ⇒  n = 60

Therefore, there are 60 multiples of 4 between 10 and 250.

Q.7: The sum of 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

We know, the nth term of the AP is; a n = a + (n − 1) d a 4 = a + (4 − 1) d a 4 = a + 3d

Thus, we can write, a 8  = a + 7d a 6  = a + 5d a 10  = a + 9d

Given in the question;

a 4  + a 8  = 24 a + 3d + a + 7d = 24 2a + 10d = 24 a + 5d = 12 …………………………………………………… (i) a 6 + a 10  = 44 a + 5d + a + 9d = 44 2a + 14d = 44 a + 7d = 22 …………………………………….. (ii)

On subtracting equation (i) from (ii), we get, 2d = 22 − 12 2d = 10 d = 5

From equation (i), we get,

a + 5d = 12 a + 5 (5) = 12 a + 25 = 12 a = −13 a 2  = a + d = −13 + 5 = −8 a 3 = a2 + d = −8 + 5 = −3

Therefore, the first three terms of this AP are −13, −8, and −3.

Q.8: Ramkali saved Rs 5 in the first week of a year and then increased her weekly saving by Rs 1.75. If in the nth week, her weekly savings become Rs 20.75, find n.

Given that, Ramkali saved Rs.5 in the first week and then started increasing her savings each week by Rs.1.75.

First term, a = 5 and common difference, d = 1.75

Also given, a n = 20.75 Find, n = ?

As we know, by the nth term formula, a n = a + (n − 1) d

Therefore, 20.75 = 5 + (n – 1) × 1.75

15.75 = (n – 1) × 1.75

(n – 1) = 15.75/1.75

= 9 ⇒  n = 10 Hence, n is 10.

Q.9: How many terms of the AP : 24, 21, 18, . . . must be taken so that their sum is 78?

Given AP: 24, 21, 18,…

Here, a = 24, d = 21 – 24 = –3, S n = 78. We need to find n. We know that;

156 = 51n – 3n 2

3n 2 – 51n + 156 = 0

n 2 – 17n + 52 = 0

n 2 – 13n – 4n + 52 = 0

n(n – 13) – 4(n – 13) = 0

(n – 4) (n – 13) = 0

n = 4 or 13 Both values of n are admissible. So, the number of terms is either 4 or 13.

Q. 10: The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

Given that, first term, a = 5 last term, l = 45 Sum of the AP, S n = 400

As we know, the sum of AP formula is; S n = n/2 (a + l) 400 = n/2 (5 + 45)

400 = n/2 (50) Number of terms, n = 16

As we know, the last term of AP can be written as; Last term, l = a + (n − 1) d 45 = 5 + (16 − 1) d 40 = 15d Therefore, the Common difference is d = 40/15 = 8/3.

Q.11:  Find the sum of the first 22 terms of an AP in which  d  = 7 and 22 nd  term is 149.

Given, Common difference, d = 7 22 nd  term, a 22  = 149 To find: Sum of first 22 term, S 22

By the formula of nth term, we know; a n  = a + (n − 1)d a 22  = a + (22 − 1)d 149 = a + 21 × 7 149 = a + 147 a = 2 = First term

Sum of the first n terms is given by the formula; S n  = n/2 (a + a n ) S 22  = 22/2 (2 + 149) = 11 × 151 = 1661

Q.12: If the sum of the first n terms of an AP is 4n − n 2 , what is the first term (that is S 1 )? What is the sum of the first two terms? What is the second term? Similarly find the 3rd, the 10th and the nth terms.

Given that, S n = 4n − n 2 First term, a = S 1 = 4(1) − (1) 2 = 4 − 1 = 3 Sum of first two terms = S 2 = 4(2) − (2) 2 = 8 − 4 = 4 Second term, a 2 = S 2 − S 1 = 4 − 3 = 1 Common difference, d = a 2 − a = 1 − 3 = −2

nth term is given by, a n = a + (n − 1)d = 3 + (n − 1) (−2)

= 3 − 2n + 2 = 5 − 2n

Therefore, a 3 = 5 − 2(3) = 5 − 6 = −1 a 10 = 5 − 2(10) = 5 − 20 = −15

Hence, the sum of first two terms is 4.

The second term is 1.

The 3rd, 10th, and nth terms are −1, −15, and 5 − 2n respectively.

Q.13: A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.

Let the cost of 1st prize be Rs.P. Cost of 2nd prize = Rs.P − 20 And cost of 3rd prize = Rs.P − 40 We can see that the cost of these prizes is in the form of AP, having a common difference as −20 and first term as P. Thus, a = P and d = −20

Given that, S 7 = 700

By the formula of sum of nth term, we know,

7/2 [2a + (7 – 1)d] = 700

a + 3(−20) = 100 a − 60 = 100 a = 160 Therefore, the value of each of the prizes was Rs 160, Rs 140, Rs 120, Rs 100, Rs 80, Rs 60, and Rs 40.

Q.14: The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of the first sixteen terms of the AP.

Solution:  From the given statements, we can write,

a 3 +  a 7  = 6 …………………………….(i)

a 3 ×  a 7  = 8 ……………………………..(ii)

By the nth term formula, a n  = a + (n − 1)d

Third term, a 3  = a + (3 -1)d

a 3  = a + 2d………………………………(iii)

And Seventh term, a 7 = a + (7 -1)d

a 7  = a + 6d ………………………………..(iv)

From equation (iii) and (iv), putting in equation(i), we get,

a + 2d + a + 6d = 6

2a + 8d = 6

a = 3 – 4d …………………………………(v)

Again putting the eq. (iii) and (iv), in eq. (ii), we get,

(a + 2d) × (a + 6d) = 8

Putting the value of a from equation (v), we get,

(3 – 4d + 2d) × (3 – 4d + 6d) = 8

(3 – 2d) × (3 + 2d) = 8

3 2  – 2d 2  = 8

9 – 4d 2  = 8

d = 1/2 or -1/2

Now, by putting both the values of d, we get,

a = 3 – 4d = 3 – 4(1/2) = 3 – 2 = 1, when d = ½

a = 3 – 4d = 3 – 4(-1/2) = 3+2 = 5, when d = -1/2

We know, the sum of nth term of AP is;

So, when a = 1 and d=1/2

Then, the sum of first 16 terms are;

S 16  = 16/2 [2 + (16 – 1)(1/2)] = 8[2 + (15/2)] = 76

And when a = 5 and d = -1/2

Then, the sum of first 16 terms is;

S 16  = 16/2 [2(5) + (16 – 1)(-1/2)] = 8(5/2) = 20

Q.15: The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find this value of x. [Hint : S x-1 = S 49 – S x  ]

Solution:  Given,

Row houses are numbers from 1, 2, 3, 4, 5…….49.

Thus, we can see the houses numbered in a row are in the form of AP.

First term, a = 1

Common difference, d = 1

Let’ represent the number of the house as;

Sum of preceding the numbers of x = sum of following numbers of x

That is 1 + 2 + 3 + …… + ( x – 1) = ( x + 1) + ( x + 2) …… + 49

=> (x – 1)x = (49 – x)(x + 50)

=> x² – x = 49x + 2450 – x² – 50x

=> x² – x = 2450 – x² – x

=> 2x² = 2450

=> x² = 1225

Therefore, the value of x is 35.

Class 10 Maths Chapter 5 Arithmetic Progression Questions for Practice

• Show that (a – b)², (a² + b²) and (a + b)² are in AP.
• Find the common difference of the Arithmetic Progression (AP) (1/a), (3 – a)/3a, (3 – 2a)/3a,… (a ≠ 0)
• Which term of the Arithmetic Progression -7, -12, -17, -22,… will be -82? Is -100 any term of the AP? Give a reason for your answer.
• How many terms of the Arithmetic Progression 45, 39, 33,… must be taken so that their sum is 180? Explain the double answer.
• In an AP, if the common difference (d) = -4, and the seventh term (a 7 ) is 4, then find the first term.
• The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms is 7 : 15. Find the numbers.
• What is the common difference of an A.P. in which a 21 – a 7 = 84?
• Which term of the progression 20, 19 ¼, 18 ½, 17 ¾,… is the first negative term?
• If the ratio of the sum of the first n terms of two APs is (7n + 1) : (4n + 27), then find the ratio of their 9th terms.
• The 4th term of an AP is zero. Prove that the 25th term of the AP is three times its 11th term.

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CBSE Class 10 Maths Case Study Questions PDF

Download Case Study Questions for Class 10 Mathematics to prepare for the upcoming CBSE Class 10 Final Exam. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 10 so that they can score 100% on Boards.

CBSE Class 10 Mathematics Exam 2024  will have a set of questions based on case studies in the form of MCQs. The CBSE Class 10 Mathematics Question Bank on Case Studies, provided in this article, can be very helpful to understand the new format of questions. Share this link with your friends.

Table of Contents

Chapterwise Case Study Questions for Class 10 Mathematics

Inboard exams, students will find the questions based on assertion and reasoning. Also, there will be a few questions based on case studies. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

The above  Case studies for Class 10 Maths will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 10 Mathematics Case Studies have been developed by experienced teachers of cbseexpert.com for the benefit of Class 10 students.

• Class 10th Science Case Study Questions
• Assertion and Reason Questions of Class 10th Science
• Assertion and Reason Questions of Class 10th Social Science

Class 10 Maths Syllabus 2024

Chapter-1  real numbers.

Starting with an introduction to real numbers, properties of real numbers, Euclid’s division lemma, fundamentals of arithmetic, Euclid’s division algorithm, revisiting irrational numbers, revisiting rational numbers and their decimal expansions followed by a bunch of problems for a thorough and better understanding.

Chapter-2  Polynomials

This chapter is quite important and marks securing topics in the syllabus. As this chapter is repeated almost every year, students find this a very easy and simple subject to understand. Topics like the geometrical meaning of the zeroes of a polynomial, the relationship between zeroes and coefficients of a polynomial, division algorithm for polynomials followed with exercises and solved examples for thorough understanding.

Chapter-3  Pair of Linear Equations in Two Variables

This chapter is very intriguing and the topics covered here are explained very clearly and perfectly using examples and exercises for each topic. Starting with the introduction, pair of linear equations in two variables, graphical method of solution of a pair of linear equations, algebraic methods of solving a pair of linear equations, substitution method, elimination method, cross-multiplication method, equations reducible to a pair of linear equations in two variables, etc are a few topics that are discussed in this chapter.

Chapter-4  Quadratic Equations

The Quadratic Equations chapter is a very important and high priority subject in terms of examination, and securing as well as the problems are very simple and easy. Problems like finding the value of X from a given equation, comparing and solving two equations to find X, Y values, proving the given equation is quadratic or not by knowing the highest power, from the given statement deriving the required quadratic equation, etc are few topics covered in this chapter and also an ample set of problems are provided for better practice purposes.

Chapter-5  Arithmetic Progressions

This chapter is another interesting and simpler topic where the problems here are mostly based on a single formula and the rest are derivations of the original one. Beginning with a basic brief introduction, definitions of arithmetic progressions, nth term of an AP, the sum of first n terms of an AP are a few important and priority topics covered under this chapter. Apart from that, there are many problems and exercises followed with each topic for good understanding.

Chapter-6  Triangles

This chapter Triangle is an interesting and easy chapter and students often like this very much and a securing unit as well. Here beginning with the introduction to triangles followed by other topics like similar figures, the similarity of triangles, criteria for similarity of triangles, areas of similar triangles, Pythagoras theorem, along with a page summary for revision purposes are discussed in this chapter with examples and exercises for practice purposes.

Chapter-7  Coordinate Geometry

Here starting with a general introduction, distance formula, section formula, area of the triangle are a few topics covered in this chapter followed with examples and exercises for better and thorough practice purposes.

Chapter-8  Introduction to Trigonometry

As trigonometry is a very important and vast subject, this topic is divided into two parts where one chapter is Introduction to Trigonometry and another part is Applications of Trigonometry. This Introduction to Trigonometry chapter is started with a general introduction, trigonometric ratios, trigonometric ratios of some specific angles, trigonometric ratios of complementary angles, trigonometric identities, etc are a few important topics covered in this chapter.

Chapter-9  Applications of Trigonometry

This chapter is the continuation of the previous chapter, where the various modeled applications are discussed here with examples and exercises for better understanding. Topics like heights and distances are covered here and at the end, a summary is provided with all the important and frequently used formulas used in this chapter for solving the problems.

Chapter-10  Circle

Beginning with the introduction to circles, tangent to a circle, several tangents from a point on a circle are some of the important topics covered in this chapter. This chapter being practical, there are an ample number of problems and solved examples for better understanding and practice purposes.

Chapter-11  Constructions

This chapter has more practical problems than theory-based definitions. Beginning with a general introduction to constructions, tools used, etc, the topics like division of a line segment, construction of tangents to a circle, and followed with few solved examples that help in solving the exercises provided after each topic.

Chapter-12  Areas related to Circles

This chapter problem is exclusively formula based wherein topics like perimeter and area of a circle- A Review, areas of sector and segment of a circle, areas of combinations of plane figures, and a page summary is provided just as a revision of the topics and formulas covered in the entire chapter and also there are many exercises and solved examples for practice purposes.

Chapter-13  Surface Areas and Volumes

Starting with the introduction, the surface area of a combination of solids, the volume of a combination of solids, conversion of solid from one shape to another, frustum of a cone, etc are to name a few topics explained in detail provided with a set of examples for a better comprehension of the concepts.

Chapter-14  Statistics

In this chapter starting with an introduction, topics like mean of grouped data, mode of grouped data, a median of grouped, graphical representation of cumulative frequency distribution are explained in detail with exercises for practice purposes. This chapter being a simple and easy subject, securing the marks is not difficult for students.

Chapter-15  Probability

Probability is another simple and important chapter in examination point of view and as seeking knowledge purposes as well. Beginning with an introduction to probability, an important topic called A theoretical approach is explained here. Since this chapter is one of the smallest in the syllabus and problems are also quite easy, students often like this chapter

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Case Study Class 10 Maths Questions

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myCBSEguide App

Download the app to get CBSE Sample Papers 2023-24, NCERT Solutions (Revised), Most Important Questions, Previous Year Question Bank, Mock Tests, and Detailed Notes.

Now, CBSE will ask only subjective questions in class 10 Maths case studies. But if you search over the internet or even check many books, you will get only MCQs in the class 10 Maths case study in the session 2022-23. It is not the correct pattern. Just beware of such misleading websites and books.

We advise you to visit CBSE official website ( cbseacademic.nic.in ) and go through class 10 model question papers . You will find that CBSE is asking only subjective questions under case study in class 10 Maths. We at myCBSEguide helping CBSE students for the past 15 years and are committed to providing the most authentic study material to our students.

Here, myCBSEguide is the only application that has the most relevant and updated study material for CBSE students as per the official curriculum document 2022 – 2023. You can download updated sample papers for class 10 maths .

First of all, we would like to clarify that class 10 maths case study questions are subjective and CBSE will not ask multiple-choice questions in case studies. So, you must download the myCBSEguide app to get updated model question papers having new pattern subjective case study questions for class 10 the mathematics year 2022-23.

Class 10 Maths has the following chapters.

• Real Numbers Case Study Question
• Polynomials Case Study Question
• Pair of Linear Equations in Two Variables Case Study Question
• Quadratic Equations Case Study Question
• Arithmetic Progressions Case Study Question
• Triangles Case Study Question
• Coordinate Geometry Case Study Question
• Introduction to Trigonometry Case Study Question
• Some Applications of Trigonometry Case Study Question
• Circles Case Study Question
• Area Related to Circles Case Study Question
• Surface Areas and Volumes Case Study Question
• Statistics Case Study Question
• Probability Case Study Question

Format of Maths Case-Based Questions

CBSE Class 10 Maths Case Study Questions will have one passage and four questions. As you know, CBSE has introduced Case Study Questions in class 10 and class 12 this year, the annual examination will have case-based questions in almost all major subjects. This article will help you to find sample questions based on case studies and model question papers for CBSE class 10 Board Exams.

Maths Case Study Question Paper 2023

Here is the marks distribution of the CBSE class 10 maths board exam question paper. CBSE may ask case study questions from any of the following chapters. However, Mensuration, statistics, probability and Algebra are some important chapters in this regard.

Case Study Question in Mathematics

Here are some examples of case study-based questions for class 10 Mathematics. To get more questions and model question papers for the 2021 examination, download myCBSEguide Mobile App .

Case Study Question – 1

In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021–22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. Assuming that the production increases uniformly by a fixed number every year.

• Find the production in the 1 st year.
• Find the production in the 12 th year.
• Find the total production in first 10 years. OR In which year the total production will reach to 15000 cars?

Case Study Question – 2

In a GPS, The lines that run east-west are known as lines of latitude, and the lines running north-south are known as lines of longitude. The latitude and the longitude of a place are its coordinates and the distance formula is used to find the distance between two places. The distance between two parallel lines is approximately 150 km. A family from Uttar Pradesh planned a round trip from Lucknow (L) to Puri (P) via Bhuj (B) and Nashik (N) as shown in the given figure below.

• Find the distance between Lucknow (L) to Bhuj(B).
• If Kota (K), internally divide the line segment joining Lucknow (L) to Bhuj (B) into 3 : 2 then find the coordinate of Kota (K).
• Name the type of triangle formed by the places Lucknow (L), Nashik (N) and Puri (P) OR Find a place (point) on the longitude (y-axis) which is equidistant from the points Lucknow (L) and Puri (P).

Case Study Question – 3

• Find the distance PA.
• Find the distance PB
• Find the width AB of the river. OR Find the height BQ if the angle of the elevation from P to Q be 30 o .

Case Study Question – 4

• What is the length of the line segment joining points B and F?
• 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?
• What are the coordinates of the point on y axis equidistant from A and G? OR What is the area of area of Trapezium AFGH?

Case Study Question – 5

The school auditorium was to be constructed to accommodate at least 1500 people. The chairs are to be placed in concentric circular arrangement in such a way that each succeeding circular row has 10 seats more than the previous one.

• If the first circular row has 30 seats, how many seats will be there in the 10th row?
• For 1500 seats in the auditorium, how many rows need to be there? OR If 1500 seats are to be arranged in the auditorium, how many seats are still left to be put after 10 th row?
• If there were 17 rows in the auditorium, how many seats will be there in the middle row?

Case Study Question – 6

• Draw a neat labelled figure to show the above situation diagrammatically.

• What is the speed of the plane in km/hr.

More Case Study Questions

We have class 10 maths case study questions in every chapter. You can download them as PDFs from the myCBSEguide App or from our free student dashboard .

As you know CBSE has reduced the syllabus this year, you should be careful while downloading these case study questions from the internet. You may get outdated or irrelevant questions there. It will not only be a waste of time but also lead to confusion.

Here, myCBSEguide is the most authentic learning app for CBSE students that is providing you up to date study material. You can download the myCBSEguide app and get access to 100+ case study questions for class 10 Maths.

How to Solve Case-Based Questions?

Questions based on a given case study are normally taken from real-life situations. These are certainly related to the concepts provided in the textbook but the plot of the question is always based on a day-to-day life problem. There will be all subjective-type questions in the case study. You should answer the case-based questions to the point.

What are Class 10 competency-based questions?

Competency-based questions are questions that are based on real-life situations. Case study questions are a type of competency-based questions. There may be multiple ways to assess the competencies. The case study is assumed to be one of the best methods to evaluate competencies. In class 10 maths, you will find 1-2 case study questions. We advise you to read the passage carefully before answering the questions.

Case Study Questions in Maths Question Paper

CBSE has released new model question papers for annual examinations. myCBSEguide App has also created many model papers based on the new format (reduced syllabus) for the current session and uploaded them to myCBSEguide App. We advise all the students to download the myCBSEguide app and practice case study questions for class 10 maths as much as possible.

Case Studies on CBSE’s Official Website

CBSE has uploaded many case study questions on class 10 maths. You can download them from CBSE Official Website for free. Here you will find around 40-50 case study questions in PDF format for CBSE 10th class.

10 Maths Case Studies in myCBSEguide App

You can also download chapter-wise case study questions for class 10 maths from the myCBSEguide app. These class 10 case-based questions are prepared by our team of expert teachers. We have kept the new reduced syllabus in mind while creating these case-based questions. So, you will get the updated questions only.

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• Class 12 Maths Case Study Questions
• CBSE Reduced Syllabus Class 10 (2020-21)
• Class 10 Maths Basic Sample Paper 2024
• How to Revise CBSE Class 10 Maths in 3 Days
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CBSE 10th Standard Maths Subject Arithmetic Progressions Case Study Questions With Solution 2021

By QB365 on 22 May, 2021

QB365 Provides the updated CASE Study Questions for Class 10 Maths, and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get  more marks in Exams

QB365 - Question Bank Software

10th Standard CBSE

Final Semester - June 2015

Case Study Questions

(ii) Find the sum of common difference of the two progressions.

(iii) Find the 19 th term of the progression written by Geeta.

(iv) Find the sum of first 10 terms of the progression written by Geeta.

(v) Which term of the two progressions will have the same value?

(ii) What is the total amount saved by Anuj in 8 days?

(iii) What is the amount saved by Anuj on 30 th day?

(iv) What is the total amount saved by him in the month of June, if he starts savings from 1 st June?

(v) On which day, he save tens times as much as he saved on day-I?

(ii) The number on first card is

(iii) What is the number on the 19 th card?

(iv) What is the number on the 23 rd card?

(v) The sum of numbers on the first 15 cards is 

A sequence is an ordered list of numbers. A sequence of numbers such that the difference between the consecutive terms is constant is said to be an arithmetic progression (A.P.). On the basis of above information, answer the following questions. (i) Which of the following sequence is an A.P.?

(ii) If x, y and z are in A.P., then

(iii) If a 1  a 2 , a 3  ..... , a n are in A.P., then which of the following is true?

(iv) If the n th term (n > 1) of an A.P. is smaller than the first term, then nature of its common difference (d) is

(v) Which of the following is incorrect about A.P.?

(ii) What is the first term?

(iii) Which term of the A.P. is -160?

(iv) Which of the following is not a term of the given A.P.?

(v) What is the 75 th term of the A.P.?

*****************************************

Cbse 10th standard maths subject arithmetic progressions case study questions with solution 2021 answer keys.

Geeta's A.P. is -5, -2, 1,4, ... Here, first term (a 1 ) = -5 and common difference (d 1 ) = -2 + 5 = 3 Similarly, Madhuri's A.P. is 187, 184, 181, ... Here first term (a 2 ) = 187 and common difference (d 2 ) = 184 - 187 = -3 (i) (b): t 34 = a 2 + 33d 2 = 187 + 33(-3) = 88 (ii) (d): Required sum = 3 + (-3) = 0 (iii) (a): t 19  = a 1  + 18d 1  = (-5) + 18(3) = 49 (iv) (a) :  \(S_{10}=\frac{n}{2}\left[2 a_{1}+(n-1) d_{1}\right]=\frac{10}{2}[2(-5)+9(3)]=85\) (v) (b): Let n th terms of the two A.P:s be equal. \(\therefore\) -5 + (n - 1)3 = 187 + (n - 1)(-3) \(\Rightarrow\) 6(n - 1) = 192 \(\Rightarrow\) n = 33

Here the savings form an A.P. i.e., Rs 2.75, Rs 3, Rs 3.25, ... So, a = 2.75, d = 3 - 2.75 = 0.25 (i) (b): Amount saved by Anuj on 14 th day = t 14 = a + 13d = 2.75 + 13(0.25) = ₹ 6 (ii) (d): Total amount saved by Anuj in 8 days \(=S_{8}=\frac{8}{2}[2(2.75)+7(0.25)]=₹ 29\) (iii) (a): Amount saved by Anuj on 30 th day = t 30 = a + 29d = 2.75 + 29(0.25) = ₹ 10 (iv) (b): Number of days in June = 30 \(\therefore S_{30}=\frac{30}{2}[2(2.75)+29(0.25)]=₹ 191.25\) (v) (d): Let on nth day, he saves 10 times as he saves on 1 st day. t n = 10(2.75) \(\Rightarrow\) a + (n - 1)d = 27.5 \(\Rightarrow\) n = 100.

Let the numbers on the cards be a, a + d, a + Zd, ... According to question, We have (a + 5d) + (a + 13d) = -76 \(\Rightarrow\) 2a+18d = -76 \(\Rightarrow\) a + 9d= -38 ... (1) And (a + 7d) + (a + 15d) = -96 \(\Rightarrow\) 2a + 22d = -96 \(\Rightarrow\) a + 11d = -48 ...(2) From (1) and (2), we get 2d= -10 \(\Rightarrow\) d= -5 From (1), a + 9(-5) = -38 \(\Rightarrow\) a = 7 (i) (b): The difference between the numbers on any two consecutive cards = common difference of the A.P.=-5 (ii) (d): Number on first card = a = 7 (iii) (b): Number on 19th card = a + 18d = 7 + 18(-5) = -83 (iv) (a): Number on 23rd card = a + 22d = 7 + 22( -5) = -103 (v) (d):  \(S_{15}=\frac{15}{2}[2(7)+14(-5)]=-420\)

(i) (c) (ii) (c) (iii) (d) (iv) (b) (v) (c)

We have, 3 rd term = 4 and 9 th term = -8 i.e., a + 2d = 4 ........(i) and a + 8d = -8 .........(ii) Solving (1) and (2), we get d = -2, a = 8 (i) (c) (ii) (d) (iii) (b): Let t n = -160 \(\Rightarrow\) a + (n - 1) d = -160 \(\Rightarrow\) 8 + (n - 1)(-2) = -160 \(\Rightarrow\) (n - 1)(-2) = -168 \(\Rightarrow\) n - 1 = 84 \(\Rightarrow\) n = 85 So, t 85  = -160 (iv) (a) (v) (a): t 75 = a + 74d = 8 + 74( -2) = -140

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Case Study Class 10 Maths Questions and Answers (Download PDF)

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Case Study Class 10 Maths

If you are looking for the CBSE Case Study class 10 Maths in PDF, then you are in the right place. CBSE 10th Class Case Study for the Maths Subject is available here on this website. These Case studies can help the students to solve the different types of questions that are based on the case study or passage.

CBSE Board will be asking case study questions based on Maths subjects in the upcoming board exams. Thus, it becomes an essential resource to study. 

The Case Study Class 10 Maths Questions cover a wide range of chapters from the subject. Students willing to score good marks in their board exams can use it to practice questions during the exam preparation. The questions are highly interactive and it allows students to use their thoughts and skills to solve the given Case study questions.

Download Class 10 Maths Case Study Questions and Answers PDF (Passage Based)

Download links of class 10 Maths Case Study questions and answers pdf is given on this website. Students can download them for free of cost because it is going to help them to practice a variety of questions from the exam perspective.

Case Study questions class 10 Maths include all chapters wise questions. A few passages are given in the case study PDF of Maths. Students can download them to read and solve the relevant questions that are given in the passage.

Students are advised to access Case Study questions class 10 Maths CBSE chapter wise PDF and learn how to easily solve questions. For gaining the basic knowledge students can refer to the NCERT Class 10th Textbooks. After gaining the basic information students can easily solve the Case Study class 10 Maths questions.

Case Study Questions Class 10 Maths Chapter 1 Real Numbers

Case Study Questions Class 10 Maths Chapter 2 Polynomials

Case Study Questions Class 10 Maths Chapter 3 Pair of Equations in Two Variables

Case Study Questions Class 10 Maths Chapter 4 Quadratic Equations

Case Study Questions Class 10 Maths Chapter 5 Arithmetic Progressions

Case Study Questions Class 10 Maths Chapter 6 Triangles

Case Study Questions Class 10 Maths Chapter 7 Coordinate Geometry

Case Study Questions Class 10 Maths Chapter 8. Introduction to Trigonometry

Case Study Questions Class 10 Maths Chapter 9 Some Applications of Trigonometry

Case Study Questions Class 10 Maths Chapter 10 Circles

Case Study Questions Class 10 Maths Chapter 12 Areas Related to Circles

Case Study Questions Class 10 Maths Chapter 13 Surface Areas & Volumes

Case Study Questions Class 10 Maths Chapter 14 Statistics

Case Study Questions Class 10 Maths Chapter 15 Probability

How to Solve Case Study Based Questions Class 10 Maths?

In order to solve the Case Study Based Questions Class 10 Maths students are needed to observe or analyse the given information or data. Students willing to solve Case Study Based Questions are required to read the passage carefully and then solve them. 

While solving the class 10 Maths Case Study questions, the ideal way is to highlight the key information or given data. Because, later it will ease them to write the final answers. 

Case Study class 10 Maths consists of 4 to 5 questions that should be answered in MCQ manner. While answering the MCQs of Case Study, students are required to read the paragraph as they can get some clue in between related to the topics discussed.

Also, before solving the Case study type questions it is ideal to use the CBSE Syllabus to brush up the previous learnings.

Features Of Class 10 Maths Case Study Questions And Answers Pdf

Students referring to the Class 10 Maths Case Study Questions And Answers Pdf from Selfstudys will find these features:-

• Accurate answers of all the Case-based questions given in the PDF.
• Case Study class 10 Maths solutions are prepared by subject experts referring to the CBSE Syllabus of class 10.
• Free to download in Portable Document Format (PDF) so that students can study without having access to the internet.

Benefits of Using CBSE Class 10 Maths Case Study Questions and Answers

Since, CBSE Class 10 Maths Case Study Questions and Answers are prepared by our maths experts referring to the CBSE Class 10 Syllabus, it provided benefits in various way:-

• Case study class 10 maths helps in exam preparation since, CBSE Class 10 Question Papers contain case-based questions.
• It allows students to utilise their learning to solve real life problems.
• Solving case study questions class 10 maths helps students in developing their observation skills.
• Those students who solve Case Study Class 10 Maths on a regular basis become extremely good at answering normal formula based maths questions.
• By using class 10 Maths Case Study questions and answers pdf, students focus more on Selfstudys instead of wasting their valuable time.
• With the help of given solutions students learn to solve all Case Study questions class 10 Maths CBSE chapter wise pdf regardless of its difficulty level.

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Class 10 Maths Case Study Questions PDF Download

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Are you looking for a reliable source to download Class 10 Maths case study questions in PDF format? Look no further! In this article, we will provide you with a comprehensive collection of case study questions specifically designed for Class 10 Maths Case Study Questions . Whether you are a student or a teacher, these case study questions will prove to be a valuable resource in your preparation or teaching process.

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

If you want to want to prepare all the tough, tricky & difficult questions for your upcoming exams, this is where you should hang out.  CBSE Case Study Questions for Class 10  will provide you with detailed, latest, comprehensive & confidence-inspiring solutions to the maximum number of Case Study Questions covering all the topics from your  NCERT Text Books !

Table of Contents

CBSE 10th Maths: Case Study Questions With Answers

Students taking the 10th board examinations will see new kinds of case study questions in class. The board initially incorporated case study questions into the board exam. The chapter-by-chapter case study question and answers are available here.

Chapterwise Case Study Questions for Class 10 Mathematics

Case study questions are an essential component of the Class 10 Mathematics curriculum. They provide students with real-world scenarios where they can apply mathematical concepts and problem-solving skills. By analyzing and solving these case study questions, students develop a deeper understanding of the subject and improve their critical thinking abilities.

The above  Case studies for Class 10 Maths  will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 10 Mathematics Case Studies have been developed by experienced teachers of schools.studyrate.in for the benefit of Class 10 students.

• Class 10th Science Case Study Questions

Benefits of Case Study Questions for Class 10 Mathematics

Case study questions offer several benefits to both students and teachers. Here are some key advantages:

• Practical Application : Case study questions bridge the gap between theory and real-life situations, allowing students to apply mathematical concepts in practical scenarios.
• Analytical Thinking : By solving case study questions, students enhance their analytical thinking and problem-solving skills.
• Conceptual Clarity : Case study questions help reinforce the fundamental concepts of mathematics, leading to improved conceptual clarity.
• Exam Preparation : Practicing case study questions prepares students for their Class 10 Mathematics exams, as they become familiar with the question formats and types.
• Comprehensive Assessment : Teachers can use case study questions to assess students’ understanding of various mathematical concepts in a comprehensive manner.

How to Use Case Study Questions Effectively

To make the most out of the case study questions, follow these effective strategies:

• Read the question carefully : Understand the given scenario and identify the mathematical concepts involved.
• Analyze the problem : Break down the problem into smaller parts and determine the approach to solve it.
• Apply relevant formulas and concepts : Utilize your knowledge of the subject to solve the case study question.
• Show your working : Clearly demonstrate the steps and calculations involved in reaching the solution.
• Check your answer : Always verify if your solution aligns with the given problem and recheck calculations for accuracy.

Tips for Solving Case Study Questions

Here are some useful tips to excel in solving case study questions:

• Practice regularly : Regular practice will enhance your problem-solving skills and familiarity with different question formats.
• Understand the concepts: Ensure you have a strong foundation in the underlying mathematical concepts related to each chapter.
• Work on time management : Practice solving case study questions within a stipulated time to improve your speed and efficiency during exams.
• Seek clarification : If you encounter any doubts or difficulties, don’t hesitate to seek guidance from your teacher or peers.

Case study questions are an invaluable resource for Class 10 Mathematics students. They provide practical application opportunities and strengthen conceptual understanding. By utilizing the chapter-wise case study questions provided in this article, students can enhance their problem-solving skills, prepare effectively for exams, and develop a deeper appreciation for the subject.

FAQs on Class 10 Maths Case Study Questions

Q1: can i download the class 10 maths case study questions in pdf format.

Yes, you can download the Class 10 Maths case study questions in PDF format from our site free of cost.

Q2: Are the case study questions aligned with the latest curriculum?

Yes, the case study questions presented in this article are designed to align with the latest Class 10 Mathematics curriculum.

Q3: How can case study questions improve my exam preparation?

Case study questions help you understand the practical application of mathematical concepts, enabling you to approach exam questions with greater confidence and clarity.

Q5: Where can I find more resources for Class 10 Mathematics preparation?

Download more resources of Class 10th Maths from schools.studyrate.in, we offer additional resources and practice materials for Class 10 Mathematics.

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CBSE Class 10 Maths Case Study Questions for Class 10 Maths Chapter 1 - Real Numbers (Published by CBSE)

Cbse class 10 maths cased study question bank for chapter 1 - real numbers is available here. this question bank is very useful to prepare for the class 10 maths exam 2021-2022..

The Central Board of Secondary Education has introduced the case study questions in class 10 exam pattern 2021-2022. The CBSE Class 10 questions papers of Board Exam 2022 will have questions based on case study. Therefore, students should get familiarised with these questions to do well in their board exam.

We have provided here case study questions for Class 10 Maths Chapter 1 - Real Numbers. These questions have been published by the CBSE board itself. Students must solve all these questions at the same time they finish with the chapter - Real numbers. 

Case Study Questions for Class 10 Maths 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.

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?

Answer: c) 288

2. If the product of two positive integers is equal to the product of their HCF and LCM is true then, the HCF (32 , 36) is

Answer: b) 4

3. 36 can be expressed as a product of its primes as

a) 2 2 × 3 2

b) 2 1 × 3 3

c) 2 3 × 3 1

d) 2 0 × 3 0

Answer: a) 2 2 × 3 2

4. 7 × 11 × 13 × 15 + 15 is a

a) Prime number

b) Composite number

c) Neither prime nor composite

d) None of the above

Answer: b) Composite number

5. If p and q are positive integers such that p = ab 2 and q= a 2 b, where a , b are prime numbers, then the LCM (p, q) is

Answer: b) a 2 b 2

CASE STUDY 2:

A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.

1. In each room the same number of participants are to be seated and all of them being in the same subject, hence maximum number participants that can accommodated in each room are

Answer: b) 12

2. What is the minimum number of rooms required during the event?

Answer: d) 21

3. The LCM of 60, 84 and 108 is

Answer: a) 3780

4. The product of HCF and LCM of 60,84 and 108 is

Answer: d) 45360

5. 108 can be expressed as a product of its primes as

a) 2 3 × 3 2

b) 2 3 × 3 3

c) 2 2 × 3 2

d) 2 2 × 3 3

Answer: d) 2 2 × 3 3

CASE STUDY 3:

A Mathematics Exhibition is being conducted in your School and one of your friends is making a model of a factor tree. He has some difficulty and asks for your help in completing a quiz for the audience.

Observe the following factor tree and answer the following:

1. What will be the value of x?

Answer: b) 13915

2. What will be the value of y?

Answer: c) 11

3. What will be the value of z?

Answer: b) 23

4. According to Fundamental Theorem of Arithmetic 13915 is a

a) Composite number

b) Prime number

d) Even number

Answer: a) Composite number

5. The prime factorisation of 13915 is

a) 5 × 11 3 × 13 2

b) 5 × 11 3 × 23 2

c) 5 × 11 2 × 23

d) 5 × 11 2 × 13 2

Answer: c) 5 × 11 2 × 23

Also Check:

CBSE Case Study Questions for Class 10 Maths - All Chapters

Tips to Solve Case Study Based Questions Accurately

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