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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 garden the first row has (16) plants and each next row has (6) more plants. Which row will have (112) plants?A worker lays (40) bricks on the first day and (8) more bricks each next day. How many bricks will be laid in (20) days?In a donation campaign (150) rupees are received on the first day and (75) rupees more each next day. How many days will it take to collect (4875) rupees?A staircase has (110) tiles in the bottom row and (5) fewer tiles in each upper row. Which row will have (55) tiles?In a taxi the fare for the first kilometre is (60) rupees and each next kilometre costs (18) rupees more. What is the total fare for (12) kilometres?In a matchstick pattern the first figure has (10) matchsticks and each next figure has (8) more matchsticks. How many matchsticks are in the (16)th figure?A fund receives (250) rupees in the first week and (40) rupees more each next week. What is the total amount in (14) weeks?A reservoir has (1200) litres of water on the first day and (50) litres less each next day. What is the total observed water amount over the first (15) days?An employee earns (30000) rupees in the first month and the salary increases by (1500) rupees each month. What is the salary in the (10)th month?In a parking area the first row can hold (35) cars and each next row can hold (7) more cars. What is the total capacity of (18) rows?A craftsperson makes (12) clay pots on the first day and (5) more pots each next day. How many pots are made in (18) days?In a school (30) new admissions happen on the first day and (10) more admissions happen each next day. How many days are needed for (2500) admissions?A machine produces (80) units in the first hour and (12) more units each next hour. What is the production in the (14)th hour?A construction team works (16) hours on the first day and (4) more hours each next day. How many hours of work are done in (13) days?In an instalment plan the first instalment is (4000) rupees and each next instalment is (750) rupees more. What is the total of (8) instalments?A theatre has 928 seats in 16 rows. If each next row has 4 more seats, how many seats were in the first row?A shop sells (180) packets on the first day and (12) fewer packets each next day. How many packets are sold in (11) days?A student reads (25) pages in the first month and (15) pages more each next month. In which month will the student read (235) pages?On a road the first gap between poles is (30) metres and each next gap increases by (6) metres. What is the total distance of the first (14) gaps?In a gym (22) members joined in the first month and (7) more members joined each next month. How many members joined in (12) months?