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 student learns (12) words on the first day and (4) more words each next day. How many words will he learn on the (9)th day?In a tree plantation drive (18) trees are planted on the first day and (6) more trees each next day. How many trees are planted on the (7)th day?In a practice plan (16) questions are solved on the first day and (4) more questions each next day. How many questions are solved in (8) days?A bus takes (9) passengers at the first stop and (3) more passengers board at each next stop. How many passengers board at the (9)th stop?A catering service places (10) plates on the first table and (2) more plates on each next table. How many plates are placed on (12) tables?The service cost of a vehicle is (1500) rupees in the first year and increases by (400) rupees each next year. What is the cost in the (5)th year?In a computer lab (6) computers are installed on the first day and (4) more computers are installed each next day. How many computers are installed in (6) days?A newspaper seller sells (90) newspapers on the first day and (15) more newspapers each next day. How many newspapers are sold on the (7)th day?In a mobile data plan (2) GB data is given on the first day and (3) GB more each next day. How much total data is given in (8) days?A school bus travels (25) km on the first day and (5) km more each next day. How far will the bus travel on the (8)th day?In a competition (40) participants come on the first day and (10) more participants come each next day. How many participants come in (6) days?A craftsperson makes (10) toys on the first day and (3) more toys each next day. How many toys are made on the (11)th day?In an office (5) new employees join in the first month and (2) more employees join each next month. How many employees join in (9) months?A medicine dose is (15) mg on the first day and increases by (5) mg each next day. What is the dose on the (7)th day?In a sports club (15) members join on the first day and (5) more members join each next day. How many members join in (7) days?Which of the following situations shows that the daily amounts form an arithmetic progression (AP)?In a school laboratory (7) instruments are placed on the first day and (3) more instruments are placed each next day. How many instruments are placed in (10) days?In a saving plan (80) rupees are deposited in the first month and (20) rupees more each next month. What is the total saving in (12) months?The first row of an auditorium has (18) seats and each next row has (3) more seats. How many seats are in the (20)th row?At a ticket counter (40) tickets are sold on the first day and (5) more tickets are sold each next day. How many tickets are sold in (15) days?