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Ratio Worksheet: Simplifying, Tables, Word Problems, and Proportions

Worksheet
Grade 8
English

Ratio Worksheet: Simplifying, Tables, Word Problems, and Proportions

Instructions

Work through each section carefully. Use the ratio tables and comparison charts provided to help you solve the problems. Show your steps for full credit.


1. Ratio Simplification Problems

Simplify each ratio to its lowest terms. Show your work in the ratio table provided.
Problem
Ratio Table
Simplified Ratio
1. 18:24
18 : 24 → ____ : ____
_______
2. 35:49
35 : 49 → ____ : ____
_______
3. 42:56
42 : 56 → ____ : ____
_______
4. 21:63
21 : 63 → ____ : ____
_______
5. 60:45
60 : 45 → ____ : ____
_______


2. Equivalent Ratio Table Problems

Fill in the missing numbers to complete each equivalent ratio table.
Original Ratio
1st Equivalent
2nd Equivalent
3rd Equivalent
2 : 5
4 : ___
___ : 15
10 : ___
3 : 7
___ : 21
12 : ___
___ : 35
4 : 9
___ : 18
20 : ___
___ : 45
5 : 8
10 : ___
___ : 24
25 : ___
7 : 3
___ : 6
21 : ___
___ : 9


3. Word Problems: Recipes & Scale

Solve each problem. Show your work using a ratio table.

1. Pancake Recipe

A recipe uses 2 cups of flour for every 3 cups of milk. How many cups of flour are needed for 9 cups of milk?
Flour (cups)
2
___
Milk (cups)
3
9

2. Paint Mixing

To make purple paint, you mix red and blue paint in a ratio of 5:2. If you have 15 liters of red paint, how many liters of blue paint do you need?
Red (L)
5
___
Blue (L)
2
?

3. Model Train Scale

A model train is built at a scale of 1:87. If the real train is 174 meters long, how long is the model train (in meters)?
Model length
1
___
Real length
87
174


4. Challenge Proportion Problems

Set up and solve each proportion. Use comparison charts to organize your work.

1. Proportion with Unknown Numerator

If 12 apples cost $9, how much would 20 apples cost at the same rate?
Apples
12
20
Cost
$9
___

2. Proportion with Unknown Denominator

A car travels 180 km in 3 hours. At this rate, how long will it take to travel 420 km?
Distance (km)
180
420
Time (hours)
3
___