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Subjects

Mathematics

Word problems based on APs

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.

Expert · Level 6 · 16 questions

Practice questions

01In a cleanliness campaign (18) lanes are cleaned on the first day and (6) more lanes are cleaned each next day. How many lanes are cleaned in (20) days?

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02In an art workshop (36) drawings are made on the first day and (14) more drawings each next day. How many drawings are made on the (16)th day?

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03In an exam the first question carries (8) marks and each next question carries (9) more marks. What are the total marks of the first (15) questions?

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04In a festival decoration the first gate has (90) lights and each next gate has (25) more lights. How many lights are there on (10) gates?

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05In a school laboratory (42) instruments are installed on the first day and (14) more instruments each next day. How many days are needed to install (2520) instruments?

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06A cyclist covers (34) km in the first hour and (8) km more each next hour. What is the total distance in (18) hours?

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07A farmer sells (130) kg grain in the first week and (25) kg more each next week. How much grain will be sold in (14) weeks?

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08An app earns (1200) rupees on the first day and the income increases by (250) rupees each next day. What is the total income in (10) days?

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09A printing press prints (60) pages in the first hour and (11) more pages each next hour. How many pages are printed in (18) hours?

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10A cloth shop sells (160) metres of cloth on the first day and (35) metres more each next day. How many metres of cloth are sold in (11) days?

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11In a sports club (36) members join on the first day and (12) more members join each next day. How many members join in (19) days?

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12In a hall the first row has (42) seats and each next row has an equal increase. If (21) rows have (2793) seats in total, what is the increase?

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13A catering service places (30) plates on the first table and (10) more plates on each next table. How many plates are placed on (18) tables?

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14A medicine dose is (15) mg on the first day and increases by (6) mg each next day. What is the total dose over the first (22) days?

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15A pump fills (200) litres of water in the first hour and (45) litres more each next hour. How much water will it fill in (12) hours?

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16A newspaper seller sells (160) newspapers on the first day and (30) more newspapers each next day. On which day will (610) newspapers be sold?

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