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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 farmer harvests (4) acres on the first day and (3) acres more each next day. How many acres are harvested in (10) days?In a piggy bank (40) rupees are put on the first day and (20) rupees more each next day. How many days will it take to collect (1120) rupees?In a stair-like decoration the bottom row has (60) bulbs and each upper row has (5) fewer bulbs. How many bulbs are in the (9)th row?In a taxi the fare for the first kilometre is (60) rupees and each next kilometre costs (10) rupees more. What is the total fare for (9) kilometres?In a stadium the first row has (11) seats and each next row has (3) more seats. How many seats are there in (19) rows?In an instalment plan the first instalment is (2500) rupees and the total of (5) instalments is (17500) rupees. If each instalment increases by an equal amount then what is the increase?In a cleanliness campaign (5) lanes are cleaned on the first day and (2) more lanes are cleaned each next day. How many lanes are cleaned in (12) days?A company's annual profit is (25000) rupees in the first year and increases by (2000) rupees every year. What is the total profit in (6) years?In an exercise plan (15) push-ups are done on the first day and (5) more push-ups each next day. How many days are needed to complete (525) push-ups?In a tile pattern the first figure has (7) tiles and each next figure has (5) more tiles. How many tiles are in the (13)th figure?A school bus travelled (45) km on the first day and (405) km in (6) days. If the distance increased equally each day then what was the daily increase?In a relief camp (24) ration packets are placed in the first row and (4) more packets in each next row. How many packets are there in (11) rows?In a shop (75) packets are sold on the first day and (5) fewer packets are sold each next day. How many packets are sold in (8) days?A construction team works (12) hours on the first day and (3) more hours each next day. How many hours of work are done in (9) days?In a gym (25) members joined in the first month and (5) more members joined each next month. How many members joined in (8) months?In a matchstick pattern the first figure has (9) matchsticks and each next figure has (6) more matchsticks. How many matchsticks are in the (12)th figure?A student reads (30) pages in the first month and (20) pages more each next month. How many pages will be read in the (8)th month?In a festival decoration the first gate has (28) lights and each next gate has (7) more lights. How many lights are there on (9) gates?A fund receives (3000) rupees in (12) weeks. If the deposit increases by (20) rupees every week then how much was deposited in the first week?In a hospital (36) patients come on the first day and (4) more patients come each next day. How many patients come in (10) days?