Ratio Word Problem Game

Ratio Word Problem Quiz/Game
This game focuses on solving word problems involving ratios, covering basic operations, conversions, and multi-step scenarios. Scroll down the page for a more detailed explanation.

 

 

How to Play the Ratio Quest Game

1. Look at the Problem: Read the problem carefully. Solve it and select one of the answers.
   
2. Check Your Work: If you selected the right answer, it will be highlighted in green. If you are wrong, it will be highlighted in red and the correct answer will be highlighted in green. A hint will be given to help you find the correct answer.
   
3. Get a New Problem: Click “Next Problem” for a new problem.
   Your score is tracked, showing how many you’ve gotten right.
   
4. Finish Game When you have completed 10 questions, your final score will be displayed.
    
   

Solving Ratio Word Problems
A ratio is a comparison of two or more quantities. In word problems, ratios tell you the relative sizes of groups, but not necessarily their actual values. Solving these problems is usually a matter of finding the “multiplier” or “scaling factor."
The Anatomy of a Ratio
If the ratio of boys to girls is 3:4, it means:

• For every 3 boys, there are 4 girls.
• The groups are made of “parts.” Here, there are 3+4=7 parts total.
• The actual number of boys is 3x and girls is 4x, where x is the Scaling Factor.
  The Three Common Scenarios
  Scenario A: One Value is Known
  Example: The ratio of flour to sugar in a recipe is $5:2$. If you use 15 cups of flour, how much sugar do you need?
  Set up the relationship:\(\frac{\text{Flour}}{\text{Sugar}} = \frac{5}{2}\)
  Plug in the known: \(\frac{15}{S} = \frac{5}{2}\)
  Cross-multiply or scale: Since 5 × 3 = 15, multiply the sugar by the same factor: 2 × 3 = 6.
  Result: You need 6 cups of sugar.
  
  Scenario B: The Total is Known (The “Parts” Method)
  Example: A 60-cm rope is cut into two pieces in a ratio of 1:3. How long is each piece?
  Find the total parts: 1 + 3 = 4 total parts.
  Find the value of one part: 60 ÷ 4 = 15 cm.
  Multiply each side of the ratio:
  Piece 1: 1 × 15 = 15 cm
  Piece 2: 3 × 15 = 45 cm
  Check: 15 + 45 = 60. Correct.
  
  Scenario C: The Difference is Known
  Example: The ratio of red marbles to blue marbles is 7:4. There are 21 more red marbles than blue. How many total marbles are there?
  Find the difference in parts: 7 - 4 = 3 parts.
  Relate to the real difference: Those 3 parts must equal 21 marbles.
  Find the value of one part: 21 ÷ 3 = 7 marbles per part.
  Calculate total: Total parts = 7 + 4 = 11. Total marbles = 11 × 7 = 77.
   
  

This video gives a clear, step-by-step approach to explain how to solve ratio word problems.

• Show Video

 

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

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