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 an art class (16) drawings are made on the first day and (8) more drawings each next day. How many drawings are made on the (15)th day?In an exam the first question carries (5) marks and each next question carries (6) more marks. What are the total marks of the first (17) questions?In a festival decoration the first gate has (60) lights and each next gate has (15) more lights. How many lights are there on (8) gates?In a school laboratory (25) instruments are installed on the first day and (10) more instruments each next day. How many days are needed to install (960) instruments?A cyclist covers (20) km in the first hour and (6) km more each next hour. What is the total distance in (16) hours?A farmer sells (85) kg grain in the first week and (15) kg more each next week. How much grain will be sold in (14) weeks?An app earns 700 rupees on the first day and the income increases by 150 rupees each next day. What is the total income in 8 days?In a building the first floor has 180 windows and each next floor has 15 fewer windows. Which floor will have 45 windows?A printer prints (30) pages in the first hour and (8) more pages each next hour. How many pages are printed in (16) hours?A cloth shop sells (100) metres of cloth on the first day and (25) metres more each next day. How many metres of cloth are sold in (9) days?In a sports club (18) members join on the first day and (9) more members join each next day. How many members join in (20) days?In a hall the first row has (25) seats and each next row has an equal increase. If (16) rows have (1120) seats in total, what is the increase?A catering service places (20) plates on the first table and (6) more plates on each next table. How many plates are placed on (15) tables?A medicine dose is (10) mg on the first day and increases by (4) mg each next day. What is the total dose over the first (18) days?A pump fills (120) litres of water in the first hour and (30) litres more each next hour. How much water will it fill in (10) hours?A newspaper seller sells (110) newspapers on the first day and (15) more newspapers each next day. On which day will (320) newspapers be sold?The first row of a cinema hall has (28) seats and each next row has (6) more seats. If the total number of seats is (2328), how many rows are there?An employee earns (35000) rupees in the first month and the salary increases by (1800) rupees each month. What is the total salary for the first (9) months?A factory makes (420) units on the first day and (18) fewer units each next day. What is the total production in the first (15) days?The first row of an auditorium has 25 seats, and each successive row has 3 more seats. While finding the total seats in 20 rows, Meera writes: \(S_{20}=\frac{20}{2}[2(25)+20(3)]\). What is the correct correction in her solution?