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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 an online course (6) videos are uploaded in the first week and (3) more videos each next week. How many videos are uploaded in (9) weeks?In a bank plan (300) rupees are deposited in the first month and (100) rupees more each next month. How much is deposited in the (6)th month?In a parking area the first row can hold (15) cars and each next row can hold (5) more cars. What is the total capacity of (8) rows?In a figure pattern the first figure has (4) dots and each next figure has (5) more dots. How many dots are in the (9)th figure?In a library (35) books are arranged on the first day and (7) more books each next day. How many books are arranged in (7) days?In an exam the first question carries (4) marks and each next question carries (2) marks more. How many marks does the (12)th question carry?In a hospital (22) patients come on the first day and (3) more patients come each next day. How many patients come in (8) days?In a water tank (25) litres are filled in the first hour and (5) litres more in each next hour. How much water is filled in the (9)th hour?In a flower decoration the first row has (11) flowers and each next row has (3) more flowers. How many flowers are there in (10) rows?A factory makes (180) toys on the first day and (30) more toys each next day. How many toys are made on the (5)th day?In a class the first group has (8) students and each next group has (4) more students. How many students are there in (7) groups?A train travels (55) km in the first hour and (5) km more each next hour. What is the total distance in (6) hours?A sweet shop sells (28) boxes on the first day and (4) more boxes each next day. How many boxes are sold on the (10)th day?In a warehouse the first rack has (12) sacks and each next rack has (6) more sacks. How many sacks are there on (8) racks?On a road the distance between the first two poles is (8) metres and each next distance increases by (3) metres. What is the distance of the (7)th gap?In an art class (5) drawings are made on the first day and (2) more drawings each next day. How many drawings are made in (12) days?A call centre handles (45) calls in the first hour and (5) more calls each next hour. How many calls are handled in the (9)th hour?A nursery sells (14) pots on the first day and (3) more pots each next day. How many pots are sold in (10) days?A donation box receives (80) rupees on the first day and (20) rupees more each next day. How much money is received on the (8)th day?A hotel has (18) rooms on the first floor and (2) more rooms on each next floor. How many rooms are there in (9) floors?