If you have tried helping your child with a SASMO problem, you know the feeling. The question looks like a simple puzzle at first. But the numbers seem to twist in ways school math never taught. Your child stares at the page. You stare at the page. Nothing clicks.

That is because SASMO problems are built differently. General math problem solving methods from school often fall short. You need a structured approach designed for Olympiad style thinking. This guide offers exactly that. We will show you how to solve SASMO problems step by step using a repeatable method. No fluff. Just a clear path from confusion to solution.

Understanding the SASMO Difference

School math problems usually have one obvious path. You apply a formula. You get the answer. Done.

SASMO problems are the opposite. They hide that path. They mix topics. They use tricky wording. They test your ability to think sideways, not just forward.

That is why a general “read, solve, check” method is not enough. You need a system that helps you:

• Spot the real question behind the story.
• Classify the problem into a known type.
• Pick a strategy that fits.
• Break the solution into small, safe steps.
• Double check without starting over.

The method below does all of that. It works for any SASMO topic: number theory, geometry, combinatorics, algebra, and logic.

The 5-Step Method for Breaking Down Any SASMO Problem

Use these five steps on every problem. Do not skip any. With practice, they will become automatic.

1. Translate the problem into your own words. Underline every number, every condition, and every question word. Rewrite the problem as a single math sentence. For example, “Find the sum of all odd numbers from 1 to 99” becomes “Sum of first 50 odd numbers = 50 squared = 2500.” This step catches hidden details.

2. Categorize the problem type. SASMO questions usually fall into a few buckets: number patterns, geometry, combinatorics (counting), logic, algebra, or word problems. If you can name the type, you already know which tools to reach for. This is where mastering problem categorization can seriously speed you up.

3. Choose one strategy. Pick from methods like drawing a diagram, working backwards, finding a pattern, making a table, using guess and check, or applying a known formula. Start with the simplest strategy. If it does not work, try another. For many problems, working backwards is a game changer.

4. Solve in small chunks. Do not try to solve the whole problem at once. Break it into parts. Solve one part. Write the result. Move to the next. Check each part as you go. This prevents one mistake from ruining everything.

5. Verify and reflect. Ask: Does this answer make sense in the original story? Did I use all the given numbers? Is there a simpler way? If you have time, try solving the problem a different way to confirm. Reading questions carefully is a skill that pays off big here.

Common Mistakes That Derail Your Steps

Even with a good method, certain habits can trip you up. Watch out for these:

• Skipping the translation step because you think you understand. Write it down anyway.
• Rushing to calculate before you know what the problem is asking.
• Using the same strategy for every problem. SASMO problems are designed to resist one size fits all.
• Forgetting to check your work against the original problem wording. A small misinterpretation can lead to a wrong answer even with perfect math.
• Giving up after one failed attempt. Sometimes the first strategy does not work. That is normal. Try another.

Technique vs. Mistake: A Quick Reference Table

Expert Advice: What Coaches Say

“The biggest shift students need to make is from ‘answer hunting’ to ‘problem understanding.’ When you focus on understanding the structure of the problem first, the solution often appears naturally. Practice identifying the type of problem before you ever pick up a pencil. That one change will raise your score more than any formula.”
Coach Lim, SASMO trainer with 12 years of experience

How to Practice This Method

Learning the steps is one thing. Making them automatic is another. Use these practice approaches:

• Start with easier problems. Apply all five steps slowly. Do not time yourself.
• Move to medium difficulty problems. Time yourself but focus on accuracy first.
• Use grade by grade problem sets to find the right level for your child.
• After each session, review which step took the longest. Practice that step separately.
• When you find a problem you cannot solve, go back to step 1. Did you really understand the question?

A Practical Example: Walk Through

Let us apply the method to a real SASMO style problem.

Problem: “How many two digit numbers are there where the tens digit is greater than the units digit?”

Step 1: Translate. Two digit numbers from 10 to 99. Tens digit greater than units digit. Count them.

Step 2: Categorize. This is a counting (combinatorics) problem. It also involves digit comparison.

Step 3: Choose strategy. Make a table. List tens digits 1 through 9. For each tens digit, count how many units digits are smaller.

Step 4: Solve in chunks. Tens digit 1: units digit must be 0 (only 1 number: 10). Tens digit 2: units 0 or 1 (2 numbers). Continue. Pattern emerges: 1+2+3+…+9 = 45.

Step 5: Verify. Check: tens digit 9 gives units 0 through 8 = 9 numbers. Sum is indeed 45. Does the answer make sense? Yes. Total two digit numbers are 90, so roughly half qualify, which matches.

Building Your SASMO Toolkit

The 5-step method works best when you have a solid toolkit of formulas and patterns to draw from. For example, knowing the formula for sum of an arithmetic series, the area of a triangle, or the counting principle can shortcut step 3. Building your competition toolkit will give you instant resources for those moments.

Also, remember that SASMO tests more than memorization. It tests how you think. The method above helps you think clearly. Use it on every problem, even the easy ones. Over time, you will not need the list anymore. The steps will become part of how you approach any math challenge.

From Steps to Instinct

Learning how to solve SASMO problems step by step is the foundation. But the real goal is to internalize that process until it feels natural. Your child will start reading a problem and automatically categorize it. They will reach for a diagram before they even finish reading. They will check their logic while writing.

That is when the magic happens. When the method disappears and the confidence appears.

So start today. Pick one SASMO problem. Go through the five steps. Write everything down. It may feel slow at first. That is okay. Speed comes with practice. What matters is building a reliable system that works every time.

Now it is your turn. Grab a problem. Use the method. See how much clearer everything becomes. Good luck. Your child can do this.