Arithmetic Progressions: Class 10 Previous Year Questions

Arithmetic Progressions questions asked in CBSE board exams

Repeated questions first. Open the free app to see each question as it appeared in the paper, with its marking scheme.

1. How many terms of the A.P. 27, 24, 21, ..... must be taken so that their sum is 105 ? Which term of the A.P. is zero ?
   Board 20245 markslong answer
2. The seventh term of an A.P. whose first term is 28 and common difference - 4, is (a) (b) (c) 52 (d) 56 Page 5 7. () , =() () >x +y" (a) (b) (c) (d) 8. (a) 4:7 (b) 12 : 21 (c) 16 : 49 (d) 7:4 9. , AB 11CD 1 AB=5cm,CD =· cm OB= cm, 3 cm 5 cm· 2cm 15 10 (a) cm (b…
   Board 20231 markMCQ
3. (a) Which term of the A.P. 3, 8, 13, 18, ... is 78 ? OR (b) Find the common difference of an A.P. whose nth term is given by an = 6n - 5.
   Board 20221 markvery short
4. Do you know old clothes which are thrown as waste not only fill the landfill site but also produce very harmful greenhouse gas. So, it is very important that we reuse old clothes in whatever way we can. The picture given below on the right, shows a footmat (ru…
   Board 20221 markvery short
5. Delhi s pollution is a severe, often seasonal issue caused by a combination of factors like high vehicular and industrial emissions, dust from construction, and crop burning in surrounding states. In a school, students of classes I to XII thought of planting t…
   Sample paper 2026-274 marksshort answer

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