7th Grade Comparing Quantities and Ratio Quiz

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Questions and Answers

What is the main topic of the text?

  • Geometry
  • Algebraic expressions
  • Comparing quantities (correct)
  • Statistics

Which mathematical concept is the text primarily concerned with?

  • Addition and subtraction
  • Ratio and proportion (correct)
  • Percentage and its applications
  • Multiplication and division

What grade level is the text intended for?

  • Grade 5
  • Grade 10
  • Grade 9
  • Grade 7 (correct)

What is the formula for finding the simple interest?

<p>P x R x T / 100 (C)</p> Signup and view all the answers

In a ratio a : b, if a = 2 and b = 5, what is the value of 3a + 2b?

<p>22 (B)</p> Signup and view all the answers

What is the percentage increase if a quantity changes from 80 to 100?

<p>20% (B)</p> Signup and view all the answers

Flashcards

Ratio

A comparison of two quantities, showing their relative sizes. It is expressed using a colon (:) or as a fraction.

Proportion

An equation stating that two ratios are equal. It means that the two quantities are in the same relative proportions.

Simple Interest

Interest calculated only on the principal amount, not on any accumulated interest.

Calculating Simple Interest

The formula is: Simple Interest = (Principal x Rate x Time) / 100

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Percentage Increase

The percentage increase in a quantity is calculated by dividing the increase by the original quantity and multiplying by 100.

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Percentage Decrease

Similar to percentage increase, but the change is a decrease. Calculate by dividing the decrease by the original quantity and multiplying by 100.

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Study Notes

Introduction to Mathematics

  • The main topic of the text appears to be a general overview of mathematics, covering various concepts.

Ratio and Proportion

  • A ratio a : b is given, where a = 2 and b = 5.
  • To find the value of 3a + 2b, substitute the values: 3(2) + 2(5) = 16.

Percentages

  • To find the percentage increase, first, find the difference: 100 - 80 = 20.
  • Then, divide the difference by the original value and multiply by 100: (20 ÷ 80) × 100 = 25%.

Simple Interest

  • The formula for finding simple interest is not explicitly mentioned in the text, but it is typically given as: Simple Interest (SI) = (Principal × Rate × Time) / 100.

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