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 sweet shop sells (56) boxes on the first day and (4) fewer boxes each next day. How many boxes are sold in (9) days?In a warehouse (650) sacks are placed on (10) racks. If the first rack has (20) sacks and each next rack has an equal increase then what is the increase?In a computer lab (10) computers are installed on the first day and (4) more computers are installed each next day. How many computers are installed in (12) days?In a mobile data plan, 5 GB of data is given on the first day and 3 GB more each next day. How much data is given on the 16th day?A cloth shop sells (70) metres of cloth on the first day and (12) metres more each next day. How many metres of cloth are sold in (8) days?In a school laboratory (12) instruments are placed on the first day and (5) more instruments are placed each next day. On which day will (77) instruments be placed?The first row of an auditorium has (18) seats and each next row has (3) more seats. If the total number of seats is (1350), how many rows are there?In a saving challenge (40) rupees are deposited on the first day and (15) rupees more each next day. How many days will it take to collect (1470) rupees?An employee earns (25000) rupees in the first month and the salary increases by (1200) rupees each month. What is the total salary for the first (8) months?A staircase has (96) bricks in the bottom row and (6) fewer bricks in each upper row. How many bricks are there in (12) rows?In a library the first shelf has (14) books. There are (500) books on (10) shelves and each next shelf has an equal increase. What is the increase on each next shelf?In a garden the first row has (12) plants and each next row has (4) more plants. How many plants are there in (16) rows?A bus takes (5) passengers at the first stop and (4) more passengers board at each next stop. How many passengers board at the (15)th stop?A worker lays (32) bricks on the first day and (12) more bricks each next day. How many bricks will be laid in (14) days?In a donation campaign (100) rupees are received on the first day and (50) rupees more each next day. How many days will it take to collect (3250) rupees?The first row of a theatre has (24) seats and each next row has (5) more seats. Which row will have (99) seats?In a tile pattern the first figure has (7) tiles and each next figure has (6) more tiles. How many tiles are used in the first (14) figures?On a road the first gap between poles is (20) metres and each next gap increases by (5) metres. What is the total distance of the first (16) gaps?A reservoir has (1000) litres of water on the first day and (40) litres less each next day. What is the total observed water amount over the first (10) days?A company's profit is (50000) rupees in the first year and increases by (5000) rupees every year. What is the total profit for the first (8) years?