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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 a tree plantation drive (25) trees are planted on the first day and (5) more trees are planted each next day. How many days are needed to plant (900) trees?A factory makes (240) units on the first day and (15) fewer units each next day. What is the total production in the first (12) days?In a study plan (30) pages are read on the first day and (10) more pages each next day. How many days are needed to read (750) pages?In a game (50) coins are earned at the first level and (25) more coins at each next level. How many coins are earned in the first (12) levels?In a tank (25) litres of water are filled in the first minute and (8) litres more in each next minute. In which minute will (121) litres be filled?In an instalment plan the first instalment is (5000) rupees and each next instalment is (500) rupees more. What is the total of (6) instalments?In a flower decoration the first layer has (18) flowers and each next layer has (6) more flowers. How many flowers are there in (11) layers?A typist types (15) pages in the first hour and (5) more pages each next hour. How many pages are typed in (9) hours?In a repair work (800) rupees are spent on the first day and (200) rupees more each next day. What is the total expense in (7) days?A shop sells (200) packets on the first day and (10) fewer packets each next day. How many packets are sold in (15) days?Which of the following daily records can be modelled as an arithmetic progression (AP)?In a saving plan the saving increases by (40) rupees each month and the total saving in (12) months is (3720) rupees. What was the saving in the first month?The first row of a theatre has (35) seats and each next row has (3) more seats. If the total number of seats is (840), how many rows are there?On a road the first gap between poles is (18) metres and each next gap increases by (2) metres. What is the total distance of the first (15) gaps?In a gym (15) members join in the first month and (5) more members join each next month. How many months are needed for (585) members to join?In a hospital (414) patients came in (9) days. If the number of patients increases by (6) each day, how many patients came on the first day?The first row of a cinema hall has (26) seats and each next row has (4) more seats. If the total number of seats is (1610), how many rows are there?In a saving plan (75) rupees are deposited on the first day and (25) rupees more each next day. How many days will it take to collect (2550) rupees?A factory makes (300) units on the first day and (20) fewer units each next day. What is the total production in the first (12) days?In a library the first shelf has (18) books and there are (795) books on (15) shelves. If each next shelf has an equal increase, what is the increase?