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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 (40) tiles in the bottom row and (3) fewer tiles in each upper row. How many tiles are there in (8) rows?A gardener plants (12) plants in the first row and (4) more plants in each next row. How many plants are in the (7)th row?An athlete runs (2) km on the first day and (1) km more each next day. What is the total distance in (10) days?In a stepped decoration, the first row has 5 tiles and each successive row has 2 more tiles. There are 10 rows in all. Ravi says that the total number of tiles is 50 because he multiplies 5 by 10. What is the correct total?The first row of an auditorium has (16) seats and each next row has (2) more seats. How many seats are there in (20) rows?A worker lays (30) bricks on the first day and (6) more bricks each next day. How many bricks will he lay on the (9)th day?On a mobile app (100) users joined on the first day and (50) more users joined each next day. How many users join in (5) days?A tower has (6) windows on the first floor and (2) more windows on each next floor. How many windows are on the (12)th floor?A farmer sells (25) kg grain in the first week and (5) kg more each next week. How much grain will he sell in (10) weeks?In a school (15) new admissions happen on the first day and (3) more admissions happen each next day. How many admissions happen on the (6)th day?In an online course (4) videos are uploaded in the first week and (2) more videos each next week. How many videos are uploaded in (8) weeks?In a bank plan (200) rupees are deposited in the first month and (50) rupees more each next month. How much is deposited in the (7)th month?In a parking area the first row can hold (12) cars and each next row can hold (4) more cars. What is the total capacity of (6) rows?In a figure pattern the first figure has (5) dots and each next figure has (3) more dots. How many dots are in the (10)th figure?In a library (40) books are arranged on the first day and (8) more books each next day. How many books are arranged in (6) days?In an exam the first question carries (3) marks and each next question carries (1) mark more. How many marks does the (15)th question carry?In a hospital (18) patients come on the first day and (2) more patients come each next day. How many patients come in (9) days?In a water tank (30) litres are filled in the first hour and (10) litres more in each next hour. How much water is filled in the (8)th hour?In a flower decoration the first row has (7) flowers and each next row has (4) more flowers. How many flowers are there in (9) rows?A factory makes (150) toys on the first day and (20) more toys each next day. How many toys are made on the (6)th day?