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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

A farmer plants (4) more plants each day. If he plants (6) plants on the first day, what will the sequence be?In an elevator test, the first cycle has 240 kg load and 15 kg is reduced in each next cycle. In which cycle will the load be 75 kg?In an experiment, the temperature is 760 units at the first stage and decreases by 32 units at each next stage. At which stage will it be 280 units?A student solves 42 questions on the first day and 9 more questions each day. On which day will he solve 276 questions?In a machine, the load is (980) units at the first stage and decreases by (45) units at each next stage. At which stage will the load be (305) units?In a test, the value is 1250 units at the first stage and decreases by 55 units at each next stage. At which stage will the value be 260 units?A student solves 64 questions on the first day and 15 more questions each day. On which day will he solve 514 questions?The first row of an auditorium has (10) seats and each next row has (2) more seats. How many seats are there in (15) rows?Ravi saves 20 rupees on the first day and 5 rupees more each next day. What will be his total saving in 10 days?A gardener plants (6) plants in the first row and (3) more plants in each next row. How many plants are planted in (8) rows?A student reads (5) pages on the first day and (2) more pages each next day. How many pages will the student read on the (12)th day?A staircase has (30) bricks in the bottom row and (2) fewer bricks in each upper row. How many bricks are there in (10) rows?A bus takes (4) passengers at the first stop and (3) more passengers at each next stop. How many passengers board in (9) stops?In sports practice, running time is (15) minutes on the first day and increases by (5) minutes each next day. What is the running time on the (7)th day?A shopkeeper sells (12) notebooks on the first day and (4) more notebooks each next day. How many notebooks are sold in (6) days?In a tank, (8) litres of water are filled in the first minute and (2) litres more in each next minute. How much water is filled in the (10)th minute?In a pattern, the first figure has (3) matchsticks and each next figure has (4) more matchsticks. How many matchsticks are in the (11)th figure?In a library, (25) books are arranged on the first day and (5) more books each next day. How many books are arranged in (8) days?A farmer sells (40) kg vegetables in the first week and (10) kg more each next week. How much will he sell in the (5)th week?The first row of a theatre has (18) seats and each next row has (2) more seats. How many seats are in the (12)th row?