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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 school bus travelled (60) km on the first day and (588) km in (7) days. If the distance increased equally each day then what was the daily increase?In a relief camp (30) ration packets are placed in the first row and (5) more packets in each next row. How many packets are there in (12) rows?In a shop (90) packets are sold on the first day and (6) fewer packets are sold each next day. How many packets are sold in (10) days?A construction team works (10) hours on the first day and (2) more hours each next day. How many hours of work are done in (12) days?In a gym (30) members joined in the first month and (6) more members joined each next month. How many members joined in (10) months?In a matchstick pattern the first figure has (8) matchsticks and each next figure has (5) more matchsticks. How many matchsticks are in the (14)th figure?A student reads (25) pages in the first month and (18) pages more each next month. How many pages will be read in the (9)th month?In a festival decoration the first gate has (36) lights and each next gate has (6) more lights. How many lights are there on (10) gates?A fund receives (3250) rupees in (10) weeks. If the deposit increases by (30) rupees every week then how much was deposited in the first week?In a hospital (42) patients come on the first day and (6) more patients come each next day. How many patients come in (9) days?A bus takes (18) passengers at the first stop and (4) more passengers board at each next stop. How many passengers board at the (13)th stop?In a garden there are (990) plants in (15) rows. If the first row has (24) plants and each next row has an equal increase then what is the increase?In a shop the first shelf has (28) boxes and each next shelf has (7) more boxes. How many boxes are there on (9) shelves?In a mobile app (180) users join on the first day and (30) more users join each next day. How many users join on the (12)th day?In a club (22) members join in the first month and (670) members join in (10) months. If the increase is equal every month then what is the monthly increase?In a parking area the first row can hold (20) cars and each next row can hold (5) more cars. What is the total capacity of (12) rows?In an online course (12) videos are uploaded in the first week and (4) more videos each next week. In which week will (60) videos be uploaded?A nursery sells (24) pots on the first day and (6) more pots each next day. How many pots are sold in (11) days?A train travels (80) km in the first hour and (8) km more each next hour. What is the total distance in (8) hours?In an art class (8) drawings are made on the first day and (5) more drawings each next day. How many drawings are made on the (13)th day?