Mathematics Quiz: Consumption & Integers
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Questions and Answers

What is the mode of the monthly electricity consumption in the given frequency distribution?

  • 105-125
  • 165-185
  • 145-165
  • 125-145 (correct)

What are the two consecutive positive integers whose product is 306?

  • 14 and 15
  • 17 and 18 (correct)
  • 16 and 17
  • 18 and 19

How many terms are there in the arithmetic progression with the first term 17, last term 50, and a common difference of 9?

  • 9
  • 6
  • 8
  • 7 (correct)

What are the coordinates of the point of trisection of the line segment joining points A(2, −2) and B(−7, 4)?

<p>(−2.67, 0.67) (A)</p> Signup and view all the answers

If production of TV sets is fixed every year, what would be the total production after 10 years if the first year's production is 50?

<p>500 (C)</p> Signup and view all the answers

Flashcards

Consecutive integers

Integers that follow each other in sequence (e.g., 2, 3, 4).

Mode of data

The value that appears most frequently in a set of data.

Arithmetic Progression (AP)

A sequence of numbers where the difference between consecutive terms is constant.

Point of trisection

Points that divide a line segment into three equal parts.

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Total production in 10 years (fixed production)

Calculate by multiplying the production of a single year times the number of years.

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Study Notes

Monthly Consumption of Electricity

  • Data represents monthly electricity consumption of 68 consumers
  • Consumption is grouped into intervals (e.g., 65-85)
  • Frequency of each interval is provided (e.g., 4 consumers consumed 65-85 units)

Product of Two Consecutive Positive Integers

  • Product of two consecutive positive integers is 306
  • Find the integers

Arithmetic Progression (AP)

  • First term of AP is 17, last term is 27
  • Common difference is 9
  • Find number of terms and sum

Point of Trisection

  • Points A (2, -2) and B (-7, 4)
  • Find coordinates of the points dividing the line segment AB into three equal parts

TV Manufacturing

  • TV manufacturer in its seventh year
  • Production follows a fixed pattern
  • Find production in first year, tenth year, and total production in 10 years

Distances and Triangle

  • Alia and Shagun live in Nagar
  • Shagun's house is on another street
  • School is at point A
  • Find distances from Alia's house to Shagun's house, library.
  • Show Shagun's school forms an isosceles triangle

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Description

Test your skills in math through various problems involving electricity consumption, products of integers, arithmetic progressions, and geometry. This quiz covers practical applications and calculations related to daily life and algebraic concepts.

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