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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

In a sports club (36) members join on the first day and (12) more members join each next day. How many members join in (19) days?In a hall the first row has (42) seats and each next row has an equal increase. If (21) rows have (2793) seats in total, what is the increase?A catering service places (30) plates on the first table and (10) more plates on each next table. How many plates are placed on (18) tables?A medicine dose is (15) mg on the first day and increases by (6) mg each next day. What is the total dose over the first (22) days?A pump fills (200) litres of water in the first hour and (45) litres more each next hour. How much water will it fill in (12) hours?A newspaper seller sells (160) newspapers on the first day and (30) more newspapers each next day. On which day will (610) newspapers be sold?