# CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set A

Read and download free pdf of CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set A. Students and teachers of Class 10 Arithmetic Progression can get free printable Worksheets for Class 10 Arithmetic Progression in PDF format prepared as per the latest syllabus and examination pattern in your schools. Standard 10 students should practice questions and answers given here for Arithmetic Progression in Grade 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 Arithmetic Progression Worksheets prepared by as per the latest NCERT, CBSE, KVS books and syllabus issued this academic year and solve important problems provided here with solutions on daily basis to get more score in school exams and tests

## Arithmetic Progression Worksheet for Class 10

Class 10 Arithmetic Progression students should refer to the following printable worksheet in Pdf in standard 10. This test paper with questions and answers for Grade 10 Arithmetic Progression will be very useful for exams and help you to score good marks

### Class 10 Arithmetic Progression Worksheet Pdf

CBSE Class 10 Mathematics Worksheet - Arithmetic Progression. Revision worksheets, Sample papers, Question banks and easy to learn study notes for all classes and subjects based on CBSE and CCE guidelines. Students and parents can download free a collection of all study material issued by various best schools in India. The study material has been carefully compiled by the best teachers in India. The students should practice the questions database to get better marks in examination. Please refer to other links for free download of high quality study material. Based on CBSE and CCE guidelines. Based on the same pattern as released by CBSE every year. Study material for final/ term/ SA1/ SA2 Examinations conducted by various schools affiliated to Central Board of Secondary Education (CBSE) in India and abroad. CBSE Study material has been compiled to help students preparation which will helps the students to concentrate more in areas which carry more marks.

More MCQs for NCERT Class 10 Mathematics Arithmetic Progression........

1. In an Arithmetic progression, the 4th term is 11 and the 12th term is 35, then the first term of the series is

(A) 5

(B) 4

(C) 3

(D) 2

2. The first term of the A.P whose third term is 16 and the difference of 5th and 7th term is 12 is

(A) 7

(B) 6

(C) 5

(D) 4

3. If a,b,c,d,e are in A.P. find the value of a -4b+6c -4d +e ?

(A) 0

(B) 1

(C) 2

(D) 3

4. In a certain A.P., 5 times the 5th term is equal to 8 times the 8th term find the 13th term?

(A) 5

(B) 2

(C) 0

(D) 1

5. Find the smallest positive term of the series 25,223/4 ,201/2 ,181/4 ..............?

(A) 9th

(B) 10th

(C) 11th

(D) 12th

6. The sum of first four terms of an A.P. is 56. The sum of last four terms is 112. If its first term is 11, find number of terms?

(A) 8

(B) 9

(C) 10

(D) 11

7. Given two A.P.’s 2,5,8,11..................T60 and 3,5,7,9.................T50. Find the number of terms which are identical?

(A) 17

(B) 18

(C) 19

(D) 20

8. If pth, qth, rth terms of an A.P. are a,b,c, respectively. Find the value of a(q-r) + b (r-p) +c(p-q)

(A) 2

(B) 1

(C) 0

(D) 5

9. If the sum of three numbers in A.P. is 24 and their product is 440. Find the numbers?

(A) 5,8,11

(B) 5,9,11

(C) 2,4,9

(D) 2,6,9

10. Divide 32 into four parts which are in A.P. such that the ratio of product of extremes to the product of means is 7:15

(A) 1,5,9,13

(B) 3,7,11,15

(C) 2,6,10,14

(D) 4,8,12,16

11. If the sum of series 2,5,8,11.................. is 60100, find n?

(A) 200

(B) 210

(C) 220

(D) 240

12. The sum of n terms of two A.P’s are in ratio 5n+4:9n+6 find ratio of their 18th terms?

(A) 179:321

(B) 180:322

(C) 170:320

(D) 171:329

13. If log 5 x 2x + 1 , log4 (21-x +1) and 1 are in A.P. find x?

(A) log52

(B)1-log52

(C) log25

(D) 1-log25

14. If 3 positive real nos, a,b,c, are in A.P. such that abc=4, find minimum value of b?

(A) 21/3

(B) 21/2

(C) 22/3

(D) 23/2

15. If the sides of right angled triangle are in A.P., then the sines of acute angles are?

(A) 3/5 , 4/5

(B) 1/√2 , √(2/3)

(C) 1/2 , √3/2

(D) 1/√2 , √3/2

16. Concentric circles of radii 1,2,3,........100 cm are drawn. The interior of the smallest circle is coloured red and the angular regions are colored alternatively green & red, so that no two adjacent regions are of same coloured find total area of green regions in sq. cm.?

(A) 1000*π*

(B) 5050*π*

(C) 4950*π*

(D) 5151*π*

17. In an AP, the sum of first n term is (3n2 /2 +5n/2). Find its 25th term.

(A) 66

(B) 86

(C) 76

(D) 96

18. If the 12th term of an A.P. is -13 and the sum of the first four terms is 24 what is the sum of the first 10 terms.

(A) 150

(B) -1

(C) 180

(D) zero

19. If n AMs are inserted between 2 & 38, the sum of the resulting series obtained is 200. The value of n (total number of terms) is

(A) 8

(B) 10

(C) 9

(D) 11

20. Find t5 and t6 of the arithmetic progression 0, 1/4, 1/2, 3/4,……. respectively

(A) 1, 5/4

(B) 5/4, 1

(C) 1, 7/4

(D) 7/4, 1

21. If tn = 6n + 5, then tn + 1 =

(A) 6n –1

(B) 6n+11

(C) 6n + 6

(D) 6n – 5

22. Which term of the arithmetic progression 21, 42, 63, 84, ……. is 420?

(A) 19

(B) 20

(C) 21

(D) 22

23. Find the 15 term of the arithmetic progression 10, 4, –2,……

(A) –72

(B) –74

(C) –76

(D) –78

24. If the kth term of the arithmetic progression 25, 50, 75, 100,…….. is 1000, then k is ________.

(A) 20

(B) 30

(C) 40

(D) 50

25. The sum of the first 20 terms of an arithmetic progression whose first term is 5 and common difference is 4, is

(A) 820

(B) 830

(C) 850

(D) 860

26. Two arithmetic progressions have equal common differences. The first term of one of these is 3 and that of the other is 8, then the difference between their 100th terms is

(A) 4

(B) 5

(C) 6

(D) 3

27. If a, b and c are in arithmetic progression, then b + c, c + a and a + b are in

(A) arithmetic progression

(B) geometric progression

(C) harmonic progression

(D) none of these

28. The sum of the first 51 terms of the arithmetic progression whose 2nd term is 2 and 4th tem is 8, is

(A) 3774

(B) 3477

(C) 7548

(D) 7458

29. Three alternate terms of an arithmetic progression are x + y,x - y and 2x +3y, then x =

(A) -y

(B) -2y

(C) -4y

(D) -6y

(A) 1/314

(B) 1/ 38

(C) (1/3)9

(D) (1/3)10

31. In a right triangle, the lengths of the sides are in arithmetic progression. If the lengths of the sides of the triangle are integers, which of the following could be the length of the shortest side?

(A) 1225

(B) 1700

(C) 1275

(D) 1150

32. If S1 = 3,7,11,15,........ upto 125 terms and S2 = 4,7,10,13,16........ upto 125 terms, then how many terms are there in S1 that are there in S2?

(A) 29

(B) 30

(C) 31

(D) 32

33. Find the sum of all natural numbers and lying between 100 and 200 which leave a remainder of 2 when divided by 5 in each case.

(A) 2990

(B) 2847

(C) 2936

(D) none of these

34. An AP starts which a positive fraction and every alternate term is an integer. If the sum of the first 11 terms is 33, then find the fourth term.

(A) 2

(B) 3

(C) 5

(D) 6

35. If the sum of 16 terms of an AP is 1624 and the first term is 500 times the common difference, then find the common difference.

(A) 5

(B) 1/2

(C) 1/5

(D) 2

36. Let Sn denote the sum of n terms of an A.P. whose first term is a. If the common difference d is given by d = Sn - kSn-1 + Sn-2 then k =

(A) 1

(B) 2

(C) 3

(D) none of these

37. The first and last term of an A.P. are a and l respectively. If S is the sum of all the terms of the A.P, and the common difference is given by l2-a2 /k-(l+a)then k =

(A) S

(B) 2S

(C) 3S

(D) none of these

38. If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k =

(A) 1/n

(B) n - 1 /n

(C) n + 1/2n

(D) n + 1 /n

39. If the first, second and last term of an A.P. are a, b and 2a respectively, its sum is

(A) ab /2(b - a)

(B) ab /b - a

(C) 3ab /2(b - a)

(D) none of these

40. If S1 is the sum of an arithmetic progression of ‘n’ odd number of terms and S2 the sum of the terms of the series in odd places, then S1/S2 =

(A) 2n /n +1

(B) n /n +1

(C) n + 1 /2n

(D) n + 1/n

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