Equivalent Ratios

Revision sheet excerpt

Course Outline

  1. Equivalent Ratio Meaning
  2. Finding Missing Ratio Numbers
  3. Ratio Tables And Number Lines
  4. Ratio Word Problems
  5. Ratio Rules And Mistakes

1. Equivalent Ratio Meaning

Key Concepts & Definitions

  • Equivalent ratios : Different ratios that show the same comparison.

Essential Points

★ Must-know

📌 An equivalent ratio is created by multiplying or dividing both numbers by the same non-zero number.

Further detail

  • The ratios 2:3, 4:6, and 6:9 are equivalent because each ratio is formed by applying the same multiplier to both terms.

Memory Hook

Same comparison, same multiplier

2. Finding Missing Ratio Numbers

Essential Points

★ Must-know

🧮 Formula — The multiplier equals the new number divided by the original number.

🔄 Process — To find a missing number in an equivalent ratio, match corresponding numbers, divide the new number by the original number to find the multiplier, and apply that multiplier to the other term.

  • In 4:
    • 7 = 20:□
    • the multiplier is 20 ÷ 4 = 5
    • so the missing number is 7 × 5 = 35

Memory Hook

Match, divide, repeat

3. Ratio Tables And Number Lines

Essential Points

★ Must-know

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Quiz preview

1. Which pair of ratios are equivalent ratios that show the same comparison?

2. How can you create an equivalent ratio from a given ratio?

3. To find a missing number in an equivalent ratio like 4:7 = 20:□, what is the correct first step for identifying the multiplier?

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Flashcards preview

What are equivalent ratios?

Different ratios showing the same comparison.

How is an equivalent ratio created?

By multiplying or dividing both numbers by the same non-zero number.

Why are 2:3, 4:6, and 6:9 equivalent ratios?

Because each is formed by applying the same multiplier to both terms.

What is the first step to find a missing number in an equivalent ratio?

Match corresponding numbers in the ratios.

How do you find the multiplier when finding a missing ratio number?

Divide the new number by the original number.

What do you do after finding the multiplier in an equivalent ratio?

Apply the multiplier to the other term to find the missing number.

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Frequently asked questions

What does the revision sheet on Equivalent Ratios cover?

The revision sheet covers the essential concepts of Equivalent Ratios. It is organized by topic to facilitate learning and memorization, with key definitions, explanations and summaries.

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How many questions are in the Equivalent Ratios quiz?

The quiz contains 11 multiple-choice questions with detailed corrections and explanations for each answer. Ideal for testing your knowledge and identifying gaps.

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How to study Equivalent Ratios with flashcards?

Revizly offers 24 interactive flashcards on Equivalent Ratios. Each card presents a question on the front and the answer on the back, enabling active and effective revision based on spaced repetition.

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