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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 taxi the fare for the first kilometre is (80) rupees and each next kilometre costs (20) rupees more. What is the total fare for (10) kilometres?In a matchstick pattern the first figure has (12) matchsticks and each next figure has (7) more matchsticks. How many matchsticks are in the (18)th figure?In an exercise plan (20) push-ups are done on the first day and (5) more push-ups each next day. How many push-ups are done in (15) days?A fund receives (200) rupees in the first week and (4380) rupees in total over (12) weeks. If the weekly deposit increases equally, what is the weekly increase?A machine makes (150) packets in the first hour and (10) fewer packets each next hour. In which hour will the production be (60) packets?In a school laboratory (15) instruments are installed on the first day and (5) more instruments each next day. How many instruments are installed in (12) days?An auditorium has (30) seats in the first row and (6) more seats in each next row. How many seats are there in (18) rows?A student reads (50) pages in the first month and (25) more pages each next month. How many pages will be read in the (9)th month?In a warehouse (40) sacks are placed in the first row and (3) fewer sacks in each next row. How many sacks are there in (12) rows?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 (15) weeks?In a parking area the first row can hold (28) cars and each next row can hold (4) more cars. What is the total capacity of (16) rows?A call centre handles (120) calls in the first hour and (15) more calls each next hour. How many calls are handled in (8) hours?A farmer sells (60) kg vegetables in the first week and (10) kg more each next week. In which week will he sell (150) kg vegetables?In a school (25) new admissions happen on the first day and (5) more admissions happen each next day. How many admissions happen in (20) days?A medicine dose is (5) mg on the first day and increases by (2) mg each next day. What is the total dose over the first (14) days?A staircase has (80) tiles in the bottom row and (5) fewer tiles in each upper row. Which row will have (25) tiles?In a saving plan the total saving for (10) months is (7750) rupees and the saving increases by (150) rupees each month. What was the saving in the first month?In a stadium the first row has (20) seats and each next row has (4) more seats. If the total number of seats is (504), how many rows are there?A cyclist covers (12) km in the first hour and (3) km more each next hour. What is the total distance in (10) hours?A catering service places (9) plates on the first table and (4) more plates on each next table. How many plates are placed on (13) tables?