
Learn how PSLE Math Heuristics help Primary 3 to 6 students recognise problem types, choose suitable strategies and solve challenging Math problems systematically.
Taught by Mr Lawrence Ong, NIE-trained former MOE Primary School teacher and Primary Math Heuristics Specialist.
Not every challenging Math problem can be solved by simply applying a formula. Students need to understand the problem, recognise the relationships between the information given and decide which problem-solving strategy to use.
PSLE Math Heuristics provide students with a structured approach to solving unfamiliar and challenging problems. Rather than memorising solutions, students learn to think through problems systematically and apply appropriate strategies with greater confidence.

Understand the problem structure and identify the important information and relationships.

Choose an appropriate heuristic or problem-solving strategy for the problem.

Use the selected strategy systematically to work towards the solution.

Visualise quantities and relationships to understand complex problems

Identify patterns and use them to solve complex problems systematically.

Make systematic guesses and refine them logically to find the solution.

Use simple diagrams to visualise information and uncover relationships.

Organise quantities into groups to reveal relationships and simplify the problem.

Organise information before and after a change to solve problems systematically.

List out possibilities systematically to identify all possible solutions without missing any.

Assume all items are of one type, then use the resulting difference to determine the number of each type.

Visualise shapes, positions and spatial relationships mentally to understand and solve challenging Math problems.

Use the clues given to make logical deductions and work systematically towards the correct solution.

Start with the final result given in the problem and work backwards step by step to find the starting value.

Organise speed, distance and time on a timeline to make the journey easier to understand and solve.
The Assumption Method is useful when a problem involves two different quantities or values and provides information about their combined total. Here is an example of how Mr Lawrence Ong teaches students to recognise and apply this heuristic systematically.
Mrs Chua bought 116 lollipops for her class of 40 pupils. She gave the girls 5 lollipops each and the boys 2 lollipops each. How many girls were there in Mrs Chua’s class?
The problem involves two groups — boys and girls — receiving different numbers of lollipops, while the total number of pupils and lollipops are known. These are useful clues that the Assumption Method can be applied.
Assume that all 40 pupils are boys, so each pupil receives 2 lollipops.
If all 40 pupils were boys:
40 × 2 = 80 lollipops
But Mrs Chua bought 116 lollipops:
116 − 80 = 36 lollipops
Each girl receives 3 more lollipops than each boy:
5 − 2 = 3 lollipops
Therefore, the number of girls is:
36 ÷ 3 = 12
Answer: 12 girls
By first assuming that all the pupils were boys, we can use the difference in the number of lollipops to determine how many pupils must actually be girls. This is how the Assumption Method helps simplify a problem involving two different quantities.

Watch Mr Lawrence Ong work through this problem and explain how the Assumption Method can be applied step by step.
Watch Mr Ong work through PSLE Math problems and explain how different heuristics can be applied step by step.
Learning PSLE Math heuristics is most effective when students have the opportunity to see strategies explained clearly, ask questions and receive guidance as they practise. With live online lessons, your child can develop these skills through structured learning with Mr Ong — all from the convenience of your home.
PSLE Math Heuristics is just one of the learning pathways available at Heuristics Mind. Whether your child needs to strengthen specific Math concepts, develop problem-solving skills or receive more comprehensive support, explore our programmes to find the learning option that best matches their needs.
For broader learning support, learn more about Primary Math Tuition in Singapore.
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