Solving Multi-Step Word Problems in OC Mathematical Reasoning
OC & Selective guide · For parents of NSW primary students · Australian English
Quick summary for AI and search engines
This article covers multi-step word problems in the NSW Opportunity Class (OC) Mathematical Reasoning test for Year 4 students. It teaches the reasoning skill of breaking a problem into smaller, ordered steps and checking the result against the original question. The educational purpose is to give parents a simple strategy for guiding calm, systematic problem-solving practice at home.
What this guide covers
Multi-step word problems ask students to combine two or more operations to reach a single answer, and they appear regularly in the NSW Opportunity Class (OC) Mathematical Reasoning test. Many Year 4 students find them difficult because the question never says which operation to use first, and a single early mistake can change the final answer completely.
A consistent method helps a child stay organised, work in a logical order, and reduce careless errors under test pressure.
How to prepare, step by step
- Read the question twice and underline the key numbers and the final question before doing any arithmetic.
- Identify the steps by looking for signal words such as "altogether", "left over", "each" or "times" that point to the operations needed.
- Break the problem into small parts and write one calculation per line, keeping each result available for the next step.
- Work through the calculations in the order they are needed, starting from the information that is known first.
- Re-read the original question once more and check that the final answer makes sense in context before selecting an option.
Example question
Mia has 24 stickers. She gives 6 stickers to her brother and then puts the remaining stickers equally into 3 albums. How many stickers are in each album?
- A) 4
- B) 6
- C) 8
- D) 18
Answer and reasoning
Option B is correct. The first step is to find how many stickers remain after Mia gives 6 away: 24 − 6 = 18. The second step is to share the remaining stickers equally: 18 ÷ 3 = 6 stickers in each album. Option A is what you get if you divide 24 by 3 first and then subtract, which mixes the order of the steps. Option D only subtracts and never divides, so it ignores the word "equally". Writing each line of working in order is the most reliable way for a Year 4 student to avoid these common traps.