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 school bus travels (20) km on the first day and (5) km more each next day. How far will the bus travel on the (7)th day?In a competition (30) participants come on the first day and (10) more participants come each next day. How many participants come in (5) days?A craftsperson makes (8) toys on the first day and (2) more toys each next day. How many toys are made on the (12)th day?In an office (4) new employees join in the first month and (3) more employees join each next month. How many employees join in (6) months?A medicine dose is (10) mg on the first day and increases by (5) mg each next day. What is the dose on the (6)th day?In a sports club (12) members join on the first day and (4) more members join each next day. How many members join in (8) days?A cloth shop sells (35) metres of cloth on the first day and (5) metres more each next day. How many metres of cloth are sold on the (10)th day?The first row of an auditorium has (24) seats and each next row has (3) more seats. How many seats are there in (10) rows?In a tank (12) litres of water are filled in the first minute and (4) litres more in each next minute. How much water is filled in the (8)th minute?Reena saves (30) rupees in the first month and (10) rupees more each next month. What is her total saving in (12) months?A staircase has (50) tiles in the bottom row and (4) fewer tiles in each upper row. How many tiles are there in (9) rows?In an auditorium, the first row has 20 seats and each successive row has 4 more seats than the previous row. Which statement about this sequence of seats is correct?In which of the following situations do the distances covered each day form an arithmetic progression (AP)?A book has (10) questions in the first chapter and (4) more questions in each next chapter. How many questions are in the (9)th chapter?The first row of a theatre has (20) seats and each next row has (2) more seats. How many seats are there in (16) rows?A worker lays (40) bricks on the first day and (8) more bricks each next day. How many bricks will he lay on the (6)th day?On a mobile app (120) users joined on the first day and (30) more users joined each next day. How many users join in (6) days?A tower has (8) windows on the first floor and (3) more windows on each next floor. How many windows are on the (10)th floor?A farmer sells (32) kg fruit in the first week and (6) kg more each next week. How much fruit will he sell in (8) weeks?In a school (20) new admissions happen on the first day and (4) more admissions happen each next day. How many admissions happen on the (7)th day?