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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 craftsperson makes (24) clay pots on the first day and (9) more pots each next day. How many pots are made in (18) days?In a school (60) new admissions happen on the first day and (20) more admissions happen each next day. How many days are needed for (3000) admissions?A machine produces (120) units in the first hour and (18) more units each next hour. What is the production in the (16)th hour?A construction team works (25) hours on the first day and (7) more hours each next day. How many hours of work are done in (13) days?In an instalment plan the first instalment is (8000) rupees and each next instalment is (1200) rupees more. What is the total of (8) instalments?A theatre has (1740) seats in (20) rows. If each next row has (6) more seats, how many seats were in the first row?A shop sells (300) packets on the first day and (16) fewer packets each next day. How many packets are sold in (13) days?A student reads (55) pages in the first month and (25) pages more each next month. In which month will the student read (355) pages?On a road the first gap between poles is (32) metres and each next gap increases by (8) metres. What is the total distance of the first (17) gaps?In a gym (42) members joined in the first month and (9) more members joined each next month. How many members joined in (14) months?A bus takes (15) passengers at the first stop and (8) more passengers board at each next stop. How many passengers board by (18) stops?A company's profit is (90000) rupees in the first year and increases by (12000) rupees every year. What is the total profit for the first (8) years?In a tile pattern the first figure has (18) tiles and each next figure has (9) more tiles. How many tiles are used in the first (16) figures?A vegetable seller sells (180) kg vegetables on the first day and (25) kg more each next day. How many kg vegetables are sold in (11) days?In a saving plan (200) rupees are deposited in the first month and the total saving in (18) months is (15075) rupees. If the saving increases equally every month, what is the monthly increase?In a tank (44) litres of water are filled in the first minute and (13) litres more in each next minute. In which minute will (239) litres be filled?In a hospital (55) patients come on the first day and (9) more patients come each next day. How many patients come in (20) days?In a warehouse (72) sacks are placed in the first row and (12) more sacks in each next row. How many sacks are there in (15) rows?In an online course (10) videos are uploaded in the first week and (6) more videos each next week. How many videos are uploaded in (24) weeks?In a cleanliness campaign (12) lanes are cleaned on the first day and (5) more lanes are cleaned each next day. How many lanes are cleaned in (21) days?