About the Author
Terry Chew, B.Sc. is a pioneering Singapore mathematics author and educator, and the first in Singapore to publish a Maths Olympiad workbook series, released in 2007. His titles — including Unleash the Maths Olympian in You! and Wicked Mathematics! — are widely used across Southeast Asia and internationally. He has coached students through Singapore's major mathematics competitions and PSLE preparation for close to two decades.
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AI Summary
Math Olympiad training helps students tackle PSLE Paper 2 problem sums (worth 55 marks) by developing the thinking skills needed when no obvious method presents itself. The article explains that both Math Olympiad and PSLE Paper 2 rely on the same five heuristics: model drawing, assumption method, working backwards, spotting patterns, and systematic listing. Math Olympiad gives students more practice at choosing the right method on unfamiliar problems, building confidence and flexibility that transfer directly to PSLE. However, Math Olympiad is a supplement, not a replacement for PSLE-specific revision.
Yes. I've coached primary school students in Singapore for almost 20 years, and I continuously see students with Math Olympiad experience often know how to approach unfamiliar PSLE Paper 2 problem sums more confidently, while others may need more time to figure out where to begin.
That's because Math Olympiad develops mathematical thinking rather than teaching students to follow a fixed method.
Students learn to analyse unfamiliar situations, break complex problems into manageable parts, look for patterns, reason logically, and explore different solution paths. These thinking habits transfer naturally to challenging PSLE problem sums, where deciding how to start is often the biggest hurdle.
Math Olympiad isn't about memorising more techniques or getting extra practice on PSLE-style questions. It nurtures confidence, flexibility, and critical thinking, which help students tackle unfamiliar problems with clarity.
Key Takeaways
- PSLE Paper 2 problem sums make up 55 of the 100 marks in PSLE Maths, and they reward good methods over memorised formulas.
- Math Olympiad training builds four thinking skills that matter for Paper 2: choosing the right method, spotting which method to use, applying it in a new situation, and staying calm when stuck.
- The same five methods show up in both PSLE Paper 2 and the Math Olympiad.
- Model drawing is the most-used method in Paper 2, and one of Singapore's best-known contributions to primary maths teaching.
How Does Math Olympiad Training Build Critical Thinking Skills?
By regularly giving students problems that don't have an obvious method.
In many school classroom lessons, students are first introduced to a method before applying it to increasingly challenging questions. Math Olympiad training often reverses this process, asking students to explore the problem before a solution method is discussed.
The student has to figure out the problem, try an approach, see if it works, and adjust if it doesn't. Over time, this builds four skills:
- Choosing a method — picking the right approach yourself, instead of waiting to be told which one to use.
- Spotting the method — noticing a new problem works the same way as one already solved, even if it looks different on the surface.
- Using it in new situations — applying a known method somewhere unfamiliar. Researchers rank this as one of the strongest predictors of how a student handles new problems.
- Staying calm when stuck — sitting with a problem that doesn't work out right away.
Over time, students become less afraid of questions they haven't seen before. Instead of freezing when the method isn't obvious, they begin exploring possible approaches with confidence.
That's a habit that benefits them not only in Math Olympiad, but also in challenging PSLE Paper 2 problem sums.
Good Math Olympiad training builds critical thinking.
What Makes PSLE Paper 2 Problem Sums Hard
PSLE Maths has two papers.
Paper 1 is 1 hour 10 minutes, worth 45 marks: 15 multiple-choice and 15 short-answer questions, no calculator. Most students with solid basics get through this fine.
Paper 2 is 1 hour 20 minutes long and worth 55 marks: 5 short-answer questions plus 12 to 13 longer problem sums, each worth up to 5 marks. Calculators are allowed.
Paper 2's problem sums make up 55% of the total PSLE Maths grade. Strong students almost never lose marks here because they can't calculate, but because a question looks unfamiliar and they freeze.
Paper 2 isn't testing whether a student can use a method. It is testing whether they can figure out which method the question needs.
Heuristics That Appear in Both PSLE Paper 2 and Math Olympiad
| Method | Used in PSLE Paper 2 | Used in Math Olympiad | Common Topics |
| Model drawing | Most common | Used a lot | Fractions, ratios, percentages, word problems |
| Assumption method | Common | Core Olympiad skill | Two-group problems (like chicken-and-rabbit) |
| Working backwards | Common in 4–5 mark questions | Core skill | Sequences, before-and-after problems |
| Spotting patterns | Common | Heavily trained | Number patterns, shape sequences |
| Systematic listing | Common | Core skill | Combination problems, logic problems |
Model drawing is the most-used method in PSLE Maths, showing up in fractions, ratios, percentages, and word problems.
It is also one of Singapore's most exported ideas in education. The Singapore Model Method has been taught here since the 1980s and has since been adopted by schools in the US, UK, Israel, Canada, and the Netherlands.
The same heuristics taught in Singapore primary maths, like model drawing, working backwards, the assumption method, spotting patterns, and systematic listing, also show up in Math Olympiad problems. The difference is that Math Olympiadquestions rarely tell students which one to use.
Students have to work that out themselves, sometimes combining a few, sometimes finding a new approach altogether. And that's what actually builds the skill.
In our classes, students learn to analyse a problem, try different ideas, and adjust when the first one doesn't work. Over time, that's what makes unfamiliar questions less intimidating, in Math Olympiad and in PSLE Paper 2 alike.
Step-by-Step Solution
- Assume all 18 notes are $2 notes -> 18 x $2 = $36
- The real total is $63, so we are short by $63 - $36 = $27
- Every time we swap a $2 note for a $5 note, the total goes up by $3
- Number of $5 notes = $27 / $3 = 9
Answer: Ravi has 9 five-dollar notes.
This is the same idea as the classic chicken-and-rabbit problem (working out how many chickens and rabbits are in a pen, given the total number of heads and legs).
I use the chicken-and-rabbit version in Olympiad classes so students learn the thinking pattern before they meet Ravi and his notes.
A student who's practised the chicken-and-rabbit version spots Ravi's problem in seconds. Whether it is farm animals or money, the thinking is the same.
That quick recognition, more than extra calculation practice, is usually what separates a student who does well on Paper 2 from one who struggles.
Where Math Olympiad Training Adds Something School Alone Often Can't
Teaching an entire class in one school year is genuinely challenging, and most teachers do it well.
But school preparation, including covering the topics, drilling common question types, and revising, naturally focuses on helping students master the curriculum and prepare for examinations.
Math Olympiad training goes wider on purpose, in three ways that are hard to build into a normal syllabus:
- Developing flexible thinking. Students regularly face unfamiliar problems where the solution is not immediately obvious. Instead of relying on a prescribed method, they learn to analyse the problem, explore possibilities, and adapt their thinking.
- Staying calm when stuck. Olympiad training teaches students to sit with a problem that does not work out on the first try. That matters as much on exam day as knowing the method itself.
- Thinking about how to think. Students learn to ask "what kind of problem is this?" before working it out. That habit cuts down the time spent stuck at the start of a hard question.
From my experience, students with Math Olympiadtraining are often quicker to find a starting point when faced with unfamiliar Paper 2 questions. Spending less time wondering how to begin allows them to manage the rest of the paper more confidently.
Do You Need Math Olympiad Training to Do Well on PSLE?
No. Plenty of students do well on PSLE Maths without ever sitting an Olympiad paper. If your child is one of them, they don't need it.
What Math Olympiadtraining does is help students approach unfamiliar problems with greater confidence. Rather than freezing when the solution isn't immediately obvious, they learn to analyse the problem, test different ideas, and adapt their thinking. It is not a shortcut to a better grade, and it doesn't replace practising for PSLE itself.
- If your child already handles Paper 2 well, Olympiad training builds on that foundation by developing deeper mathematical reasoning and problem-solving skills. These thinking skills continue to benefit students in secondary mathematics, science, and beyond.
- If your child keeps losing marks on Paper 2, it is worth looking beyond calculation skills. Many students know the mathematics but struggle to interpret unfamiliar questions, decide how to begin, or persist when their first idea doesn't work. Strengthening these thinking habits can make a meaningful difference.
Give Your Child a Head Start on Paper 2
Math Olympiad training and PSLE Paper 2 aren't two separate things. They draw on the same methods from the Singapore MOE Maths syllabus and reward the same thinking skills: choosing a method, spotting it, and staying calm with unfamiliar problems.
The students who walk into Paper 2 with confidence usually didn't get there through more worksheets. They got there through years of practising on problems that made them think.
If you'd like to see whether Math Olympiad training is the right fit for your child, book a free trial class so they can experience it firsthand.
Frequently Asked Questions
Is Math Olympiad training only for students already good at Maths?
No. Basic number skills help, but Math Olympiad training is primarily about building comfort with unfamiliar problems. Students who start shaky with numbers can gain real confidence through structured Olympiad preparation.
At what age should my child start Math Olympiad training for PSLE?
Primary 3 or Primary 4 is the ideal starting point. This gives enough time to build method recognition before Paper 2 problem sums increase in difficulty during Primary 5 and 6. Starting in Primary 5 is not too late, but Primary 3 offers the most runway to build problem-solving habits.
Does Olympiad training replace PSLE-specific practice?
No. The two work best together. Olympiad training builds problem-solving habits, while PSLE-specific practice covers the exact format, timing, and answer style of the exam.
What methods are used in PSLE Paper 2 problem sums?
The most common are model drawing, the assumption method, working backwards, spotting patterns, and systematic listing. Most Paper 2 problem sums can be solved using one or a combination of these methods.
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