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Subjects

Mathematics

Word problems based on APs

अंकगणितीय प्रगति पर आधारित शब्द समस्याएँ

This Class 10 Mathematics topic applies Arithmetic Progressions (AP) to real-life word problems. Students learn to identify the first term, common difference, number of terms, and required sum from situations involving regular increases or decreases, such as savings, seating arrangements, wages, distances, and patterns. They practise translating statements into AP terms, selecting suitable formulas, solving step by step, and checking whether the answer fits the original context.

Practice questions

A staircase has (52) bricks in the bottom row and (4) fewer bricks in each upper row. How many bricks are there in (10) rows?In a garden the first row has (10) plants and each next row has (4) more plants. How many plants are there in (12) rows?An employee earns (12000) rupees in the first month and the salary increases by (500) rupees every month. What is the salary in the (8)th month?In a training program practice lasts (25) minutes on the first day and increases by (5) minutes each next day. What is the total practice time in (14) days?In a donation campaign (200) rupees are received on the first day and (50) rupees more each next day. What is the total donation in (10) days?In a matchstick pattern the first figure has (6) matchsticks and each next figure has (4) more matchsticks. How many matchsticks are in the (15)th figure?The first shelf of a library has (22) books and each next shelf has (6) more books. How many books are there on (9) shelves?A factory makes (150) items on the first day and (25) more items each next day. How many items are made in (7) days?On a road the first gap between poles is (10) metres and each next gap increases by (2) metres. What is the total distance of the first (11) gaps?In an exam the first question carries (2) marks and each next question carries (3) more marks. What are the total marks of the first (12) questions?The first row of a hall has (12) chairs and each next row has (2) more chairs. If there are (432) chairs in total then how many rows are there?A reservoir has (500) litres of water on the first day and (25) litres less each next day. How much water remains on the (12)th day?The total sale of a shop for (8) weeks is (440) items. If the sale increases by (10) items every week then what was the sale in the first week?In a stair-like decoration the bottom row has (45) bulbs and each upper row has (3) fewer bulbs. How many bulbs are in the (8)th row?In a competition there are (16) participants in the first round and (4) more participants in each next round. How many participants are there in (9) rounds?A notebook has (5) stickers on the first page and (5) more stickers on each next page. How many stickers are there on (20) pages?In an account (1000) rupees are deposited in the first month and the total deposit in (6) months is (9000) rupees. If the deposit increases equally every month then what is the monthly increase?In a theatre the first row has (15) seats and each next row has (4) more seats. How many seats are there in (18) rows?A student saves (100) rupees in the first month and (50) rupees more each next month. In which month will the monthly saving be (700) rupees?A worker lays (50) bricks on the first day and lays (725) bricks in (10) days. If the number of bricks increases equally each day then what is the daily increase?