Arithmetic Progressions Practice 3: Applications And Reasoning

Practise focused skills from Arithmetic Progressions

MathematicsGrade 10Mixed10 questions20 min

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Section A: Word Problems · 5 questionsSection B: Reason and Verify · 5 questions

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Section A: Word Problems

Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

Riya saves ₹ $100$ in week $1$ and increases her saving by ₹ $20$ each week. How much does she save in week $8$ ?

Topic: AP Applications · Skill: Model savings and installment patterns

Question 2

MediumQuestion

A shopkeeper pays ₹ $500$ in the first installment and ₹ $50$ more each month. What is the total paid in $6$ months?

Topic: AP Applications · Skill: Model savings and installment patterns

Question 3

EasyQuestion

An auditorium has $18$ seats in the first row, $22$ in the second row, $26$ in the third row, and so on. How many seats are in the $10$ th row?

Topic: AP Applications · Skill: Model seating and arrangement patterns

Question 4

MediumQuestion

Rows in a garden have $6, 10, 14, \ldots$ plants. How many plants are in the first $12$ rows?

Topic: AP Applications · Skill: Model seating and arrangement patterns

Question 5

MediumQuestion

A runner runs $2$ km on day $1$ and increases the distance by $0.5$ km each day. How far does she run on day $9$ ?

Topic: AP Applications · Skill: Model distance and activity schedules

What this assignment covers

Use APs in savings, seating, schedules, arithmetic means and validation tasks.

Skills and sections

Model savings and installment patterns, Model seating and arrangement patterns, Model distance and activity schedules, Insert arithmetic means, Compare two APs

Section A: Word Problems: 5 questions
Section B: Reason and Verify: 5 questions