**Problem Solving**

Mathematical problem solving can be challenging, but there are a few steps we can follow to help us work out the solutions. Try using our four step

For multi-step problems you will need to work through this process more than once. To learn more about which operation to use, click on

**ROCS**approach:**ead - the question carefully. Underline the keywords and ignore any unimportant information.****R****peration - what operation do you need to solve the problem? Do you need to add, subtract, multiply or divide?****O****alculate the answer.****C****ense - does your answer make sense? If it does, you're probably correct. If not, work through the process again.****S**For multi-step problems you will need to work through this process more than once. To learn more about which operation to use, click on

**Which operation?**below.**Example - Easier**

Max has a packet of textas. If there were

__12 textas__in the packet but

__6__were

__thrown out__because they ran out of ink,

__how many__textas does Max have

__left__?

**R**ead the question carefully and underline the key words.

**O**peration: We already know the total number. Some have been thrown out so that means we need to subtract because subtract means to take away.

**C**alculate: 12 - 6 = 6

**S**ense: It makes sense. Max started with 12 but some were thrown out, so the number left has to be less than 12 and 6 is less than 12, so it makes sense.

**Example - Average**

The school assembly hall contains

__240 chairs__. If there is enough space in the hall for

__24 rows__of chairs,

__how many__chairs would be in

__each row__?

**R**ead the question carefully and underline the key words.

**O**peration: We already know the total number. We want to divide the number into 24 groups.

**C**alculate: 240 ÷ 10 = 24

**S**ense: It makes sense. There are 240 chairs altogether. If there are 24 rows, there won't be that many chairs in each row. 240 is made up of 24 tens so if 240 is divided by 10, that means there are enough chairs to put 10 in each row, so it makes sense.