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 sports club (12) members join on the first day and (6) more members join each next day. How many members join in (17) days?In a hall the first row has (20) seats and each next row has an equal increase. If (15) rows have (720) seats in total, what is the increase?A catering service places (15) plates on the first table and (5) more plates on each next table. How many plates are placed on (14) tables?A medicine dose is (8) mg on the first day and increases by (3) mg each next day. What is the total dose over the first (20) days?A pump fills (100) litres of water in the first hour and (25) litres more each next hour. How much water will it fill in (7) hours?A newspaper seller sells (90) newspapers on the first day and (10) more newspapers each next day. On which day will (230) newspapers be sold?The first row of a cinema hall has (32) seats and each next row has (5) more seats. If the total number of seats is (1859), how many rows are there?In a saving plan (90) rupees are deposited on the first day and (30) rupees more each next day. What is the total saving in (14) days?A factory makes (360) units on the first day and (15) fewer units each next day. What is the total production in the first (16) days?In a library the first shelf has (20) books and there are (972) books on (18) shelves. If each next shelf has an equal increase, what is the increase?In a garden the first row has (25) plants and each next row has (8) more plants. Which row will have (153) plants?A worker lays (55) bricks on the first day and (9) more bricks each next day. How many bricks will be laid in (18) days?In a donation campaign (200) rupees are received on the first day and (100) rupees more each next day. How many days will it take to collect (5400) rupees?A staircase has (132) tiles in the bottom row and (6) fewer tiles in each upper row. Which row will have (54) tiles?In a taxi the fare for the first kilometre is (100) rupees and each next kilometre costs (25) rupees more. What is the total fare for (9) kilometres?In a matchstick pattern the first figure has (15) matchsticks and each next figure has (9) more matchsticks. How many matchsticks are in the (20)th figure?A fund receives (300) rupees in the first week and (45) rupees more each next week. What is the total amount in (16) weeks?A reservoir has (1500) litres of water on the first day and (60) litres less each next day. What is the total observed water amount over the first (12) days?An employee earns (28000) rupees in the first month and the salary increases by (1700) rupees each month. What is the salary in the (12)th month?In a parking area the first row can hold (42) cars and each next row can hold (6) more cars. What is the total capacity of (20) rows?