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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 child learns (7) new words on the first day and (3) more words each next day. How many words will be learned in (9) days?EasyLevel 70In a parking lot, the first row can hold (20) cars and each next row can hold (4) more cars. What is the total capacity of (7) rows?EasyLevel 70A worker lays (50) bricks on the first day and (10) more bricks each next day. How many bricks will he lay on the (6)th day?EasyLevel 70In a donation drive, (100) rupees are received on the first day and (20) rupees more each next day. What is the total donation in (7) days?EasyLevel 70In a flower decoration, the first layer has (5) flowers and each next layer has (5) more flowers. How many flowers are there in (10) layers?EasyLevel 70In a mobile data plan, (2) GB data is given on the first day and (1) GB more each next day. How much data is given on the (14)th day?EasyLevel 70A watch repairer fixes (6) watches in the first hour and (2) more watches each next hour. How many watches are fixed in (8) hours?EasyLevel 70A reservoir has (1000) litres of water on the first day and (50) litres less each day. How much water remains on the (8)th day?EasyLevel 70The first row of an auditorium has 11 seats, and each succeeding row has 3 more seats than the previous row. What type of sequence is formed by the number of seats?EasyLevel 70A factory makes (200) toys on the first day and (25) more toys each next day. How many toys are made on the (5)th day?EasyLevel 70In a school, the first class has (30) students and each next class has (5) more students. How many students are there in (6) classes?EasyLevel 70In a poster design, the first row has (9) stars and each next row has (3) more stars. How many stars are in the (10)th row?EasyLevel 70In a training program, practice is (30) minutes on the first day and (10) minutes more each next day. What is the total practice time for (5) days?EasyLevel 70On a road, the distance from the first pole to the second pole is (5) metres and each next distance increases by (5) metres. What is the total distance of the first (8) gaps?EasyLevel 70In a shop, the first shelf has (16) boxes and each next shelf has (4) more boxes. How many boxes are there on (9) shelves?EasyLevel 70In a race, the first lap is (100) metres and each next lap is (20) metres longer. What is the length of the (6)th lap?EasyLevel 70In an office, (3) new employees join in the first month and (2) more employees join each next month. How many employees join in (12) months?EasyLevel 70A farmer plants (11) trees on the first day and (4) more trees each next day. How many trees will he plant on the (10)th day?EasyLevel 70Which of the following situations forms an arithmetic progression (AP) in the number of pages read each day?EasyLevel 70A cyclist covers (12) km in the first hour and (2) km more each next hour. What is the total distance in (6) hours?EasyLevel 70