Read and download free pdf of CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set C. Students and teachers of Class 10 Mathematics can get free printable Worksheets for Class 10 Mathematics Chapter 5 Arithmetic Progression in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 10 students should practice questions and answers given here for Mathematics in Class 10 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 10 Mathematics Worksheets prepared by teachers as per the latest Mathematics books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests
Worksheet for Class 10 Mathematics Chapter 5 Arithmetic Progression
Class 10 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 5 Arithmetic Progression in Class 10. This test paper with questions and answers for Class 10 will be very useful for exams and help you to score good marks
Class 10 Mathematics Worksheet for Chapter 5 Arithmetic Progression
Case Study Based Questions
I. Your friend Veer wants to participate in a 200 m race. Presently, he can run 200 m in 51 seconds and during each day practice it takes him 2 seconds less. He wants to do in 31 seconds.
Question. Which of the following terms are in AP for the given situation?
(a) 51, 53, 55, ...
(b) 51, 49, 47, ...
(c) –51, –53, –55, ...
(d) 51, 55, 59, …
Answer : B
Question. What is the minimum number of days he needs to practice till his goal is achieved?
(a) 10
(b) 12
(c) 11
(d) 9
Answer : C
Question. Which of the following term is not in the AP of the above given situation?
(a) 41
(b) 30
(c) 37
(d) 39
Answer : B
Question. If nth term of an AP is given by an = 2n + 3 then common difference of an AP is
(a) 2
(b) 3
(c) 5
(d) 1
Answer : A
Question. The value of x, for which 2x, x + 10, 3x + 2 are three consecutive terms of an AP is
(a) 6
(b) – 6
(c) 18
(d) –18
Answer : A
II. 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.
Question. The production during first year is
(a) 3000 TV sets
(b) 5000 TV sets
(c) 7000 TV sets
(d) 10000 TV sets
Answer : B
Question. The production during 8th year is
(a) 10500
(b) 11900
(c) 12500
(d) 20400
Answer : D
Question. The production during first 3 years is
(a) 12800
(b) 19300
(c) 21600
(d) 25200
Answer : C
Question. In which year, the production is 29,200?
(a) 10th year
(b) 12th year
(c) 15th year
(d) 18th year
Answer : B
Question. The difference of the production during 7th year and 4th year is
(a) 6600
(b) 6800
(c) 5400
(d) 7200
Answer : A
Assertion-Reason Type Questions
In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
Question. Assertion (A): Common difference of the AP: –5, –1, 3, 7, ... is 4.
Reason (R): Common difference of the AP : a, a + d, a + 2d, ... is given by d = 2nd term – 1st term.
Answer : A
Question. Assertion (A): If nth term of an AP is 7 – 4n, then its common difference is – 4.
Reason (R): Common difference of an AP is given by d = an+1 – an.
Answer : A
Question. Assertion (A): Common difference of an AP in which a21 – a7 = 84 is 14.
Reason (R): nth term of an AP is given by an = a + (n – 1) d.
Answer : D
Very Short Answer Type Questions
Question. If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.
Answer : 200
Question. Which term of the AP : 3, 8, 13, 18, . . . ,is 78?
Answer : 16th term
Question. Find the sum of the first 15 multiples of 8.
Answer : 960
Question. Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12.
Answer : 4, 10, 16, 22, . . .
Question. Find the number of terms in the AP : 7, 13, 19, . . . , 205
Answer : 34
Question. The sum of the 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.
Answer : –13, –8, –3
Arithmetic Progression
Question. If 5 times the 5th term of an AP is equal to 10 times the 10th term, show that its 15th term is zero.
Answer : Let 1st term = a and common difference = d.
a5 = a + 4d, a10 = a + 9d
According to the question, 5 × a5 = 10 × a10
=> 5(a + 4d) = 10(a + 9d)
=> 5a + 20d = 10a + 90d a = -14d
Now, a15 = a + 14d
=> a15 = -14d + 14d = 0.
Please click the link below to download CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set C
CBSE Class 10 Mathematics Surface Area And Volume Worksheet |
Worksheet for CBSE Mathematics Class 10 Chapter 5 Arithmetic Progression
We hope students liked the above worksheet for Chapter 5 Arithmetic Progression designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 10 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Expert teachers of studiestoday have referred to the NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 worksheet. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers. We have also provided a lot of MCQ questions for Class 10 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter.
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