6th Grade Math Word Problems

The following are some examples of 6th Grade Math Word Problems that deals with ratio and proportions.

Example:

Mark and Fred had some money in the ratio 6:1. Mark gave half of his money to Fred. Find the ratio of the amount of money Mark had left to the amount of money Fred had in the end.

Solution:

Before

After

The ratio of the amount of money Mark had left to the amount of money Fred had in the end is 3:4.

Example:

Carol puts some green and red unit cubes in a box. The ratio of the number of green cubes to the number of red cubes is 2:1. She adds 12 more red cubes in the box and the ratio becomes 4:5.

a) How many green cubes are there in the box?

b) How many red cubes does Carol have in the end?

Solution:

Before

After

From the model, we see that:

a) 3 units = 12 cubes

1 unit = 12 ÷3 = 4 cubes

4 units = 4 × 4 = 16 cubes

There are 16 green cubes in the box.

b) 5 units = 5 × 4 = 20 cubes

Carol has 20 red cubes in the end.

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