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 class the first group has (6) students and each next group has (3) more students. How many students are there in (8) groups?A train travels (40) km in the first hour and (5) km more each next hour. What is the total distance in (5) hours?A sweet shop sells (20) boxes on the first day and (4) more boxes each next day. How many boxes are sold on the (11)th day?In a warehouse the first rack has (10) sacks and each next rack has (5) more sacks. How many sacks are there on (7) racks?On a road the distance between the first two poles is (6) metres and each next distance increases by (2) metres. What is the distance of the (9)th gap?In an art class (4) drawings are made on the first day and (2) more drawings each next day. How many drawings are made in (10) days?A call centre handles (35) calls in the first hour and (5) more calls each next hour. How many calls are handled in the (8)th hour?A nursery sells (9) pots on the first day and (3) more pots each next day. How many pots are sold in (12) days?Which of the following situations represents the amount received each day as an arithmetic progression (AP)?In a theatre the first row has (14) seats and each next row has (4) more seats. How many seats are there in (10) rows?A student learns (10) words on the first day and (5) more words each next day. How many words will he learn on the (8)th day?Plants are arranged in rows in a school ground. The numbers of plants in the first four rows are 15, 18, 21, and 24. Which feature proves that this arrangement is an arithmetic progression (AP)?In an auditorium, the first three rows have 8, 11, and 14 seats respectively, and each successive row has 3 more seats. What type of sequence does this seating arrangement form?In a practice plan (20) questions are solved on the first day and (4) more questions each next day. How many questions are solved in (9) days?A bus takes (7) passengers at the first stop and (2) more passengers board at each next stop. How many passengers board at the (10)th stop?A catering service places (6) plates on the first table and (3) more plates on each next table. How many plates are placed on (8) tables?The service cost of a vehicle is (1200) rupees in the first year and increases by (300) rupees each next year. What is the cost in the (6)th year?In a computer lab (5) computers are installed on the first day and (3) more computers are installed each next day. How many computers are installed in (7) days?A newspaper seller sells (80) newspapers on the first day and (10) more newspapers each next day. How many newspapers are sold on the (9)th day?In a mobile data plan (1) GB data is given on the first day and (2) GB more each next day. How much total data is given in (10) days?