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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 bank account, (500) rupees are deposited in the first month and (100) rupees more each next month. What is the deposit in the (9)th month?In a tower, the first floor has (4) windows and each next floor has (4) more windows. How many windows are there in (8) floors?In a class, the first group has (5) students and each next group has (5) more students. How many students are in the (6)th group?A catering service places (8) plates on the first table and (2) more plates on each next table. How many plates are placed on (10) tables?A school bus travels (15) km on the first day and (5) km more each next day. How far will the bus travel on the (8)th day?A student scores (40) marks in the first test and (5) more marks in each next test. What are the total marks in (6) tests?The service cost of a vehicle is (2000) rupees in the first year and increases by (500) rupees each next year. What is the cost in the (5)th year?An artist makes (3) drawings on the first day and (1) more drawing each next day. How many drawings are made in (15) days?Which of the following situations represents an arithmetic progression (AP)?In a fair, (100) tickets are sold in the first hour and (50) more tickets each next hour. How many tickets are sold in (6) hours?A craftsperson makes (9) toys on the first day and (3) more toys each next day. How many toys are made on the (8)th day?In an exam centre, (2) candidates sit at the first desk and (2) more candidates sit at each next desk. How many candidates sit at (10) desks?In a warehouse, the first rack has (14) sacks and each next rack has (6) more sacks. How many sacks are on the (7)th rack?In a hospital, (10) patients come on the first day and (2) more patients come each next day. How many patients come in (12) days?In an online course, (4) videos are watched on the first day and (2) more videos each next day. How many videos are watched on the (9)th day?A sweet shop sells (25) boxes on the first day and (5) more boxes each next day. How many boxes are sold in (7) days?In a nursery, the first section has (13) pots and each next section has (2) more pots. How many pots are in the (11)th section?The sum of three consecutive terms of an AP is 60. Which term among them must be 20?The first rack of a shop has (18) bottles and each next rack has (3) more bottles. How many bottles are on the (9)th rack?Neeta saves (50) rupees in the first month and (10) rupees more each next month. What is the total saving in (8) months?