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 bus takes (12) passengers at the first stop and (3) more passengers board at each next stop. How many passengers board at the (15)th stop?In a garden there are (721) plants in (14) rows. If the first row has (12) plants and each next row has an equal increase then what is the increase?In a shop the first shelf has (32) boxes and each next shelf has (4) more boxes. How many boxes are there on (12) shelves?In a mobile app (150) users join on the first day and (25) more users join each next day. How many users join on the (11)th day?In a club (18) members join in the first month and (450) members join in (9) months. If the increase is equal every month then what is the monthly increase?In a parking area the first row can hold (16) cars and each next row can hold (4) more cars. What is the total capacity of (13) rows?An auditorium has 20 seats in the first row, and each successive row has 4 more seats than the preceding row. What is the total number of seats in the first 15 rows?A nursery sells (20) pots on the first day and (5) more pots each next day. How many pots are sold in (10) days?A train travels (70) km in the first hour and (10) km more each next hour. What is the total distance in (7) hours?In an art class (6) drawings are made on the first day and (4) more drawings each next day. How many drawings are made on the (14)th day?A sweet shop sells (45) boxes on the first day and (5) fewer boxes each next day. How many boxes are sold in (7) days?In a warehouse (384) sacks are placed on (8) racks. If the first rack has (20) sacks and each next rack has an equal increase then what is the increase?In a computer lab (7) computers are installed on the first day and (3) more computers are installed each next day. How many computers are installed in (11) days?In a mobile data plan, 3 GB of data is given on the first day and 2 GB more is given each successive day. How much data is given on the 15th day?A cloth shop sells (60) metres of cloth on the first day and (10) metres more each next day. How many metres of cloth are sold in (9) days?In a school laboratory (9) instruments are placed on the first day and (4) more instruments are placed each next day. On which day will (57) instruments be placed?In a training camp practice lasts (35) minutes on the first day and increases by (5) minutes each next day. What is the total practice time in (16) days?The first row of an auditorium has (25) seats and each next row has (4) more seats. How many seats are in the (17)th row?On a mobile app (200) users join on the first day and (40) more users join each next day. How many users join in (9) days?The first row of a hall has (16) chairs and each next row has (3) more chairs. If there are (425) chairs in total then how many rows are there?