You might recall seeing the following problems before: Alan and Ben have money in the ratio of 3:2; and Ben and Carl have money in the ratio of 4:5, If they have $540 altogether, how much money does Alan have? Or perhaps if Mrs Tan is 40 years old and her daughter is 12 years old, in how many years will Mrs Tan be exactly 3 times as old as her daughter?
Word problems like these can overwhelm even Primary 6 students who think they have seen it all. The struggle deepens when they have not been taught a reliable way to approach the question type.
To help your child handle PSLE exam demands, you need a comprehensive revision routine that directly targets each of the problem-solving methods they will face.
Here is a straightforward guide, as well as some PSLE math tips, on how to prepare your child for the exams.
Topics and Frameworks P6 Students Should Focus On
Confident problem-solving starts with identifying the underlying pattern of each question. Here are the core frameworks they must master.
Repeated Identity
The Repeated Identity applies when the story links multiple items or people through a common element. Your child needs to identify that common value and standardise the units.
Take, for example:
Alan and Ben have money in the ratio of 3:2.
Ben and Carl have money in the ratio of 4:5
If they have $540 altogether, how much money does Alan have?
To solve this, your child must spot that Ben is the repeated identity. They need to equalise Ben’s units in both ratios using the lowest common multiple, changing Alan and Ben’s ratio to 6:4. Now the combined ratio can be written as 6:4:5.
Your child can then set up the following equations:
Total units = 6 + 4 + 5 = 15
15 units = $540
1 unit = 540 / 15 = $36
Alan’s money = 6 units = 6 x $36 = $216
Constant Total & Constant Difference
The Constant Difference framework applies when both parties experience an equal change (such as age problems or when both people buy the same number of items), meaning the gap between them remains identical.
Here’s an example:
Mrs Tan is 40 years old, and her daughter is 12 years old. In how many years will Mrs Tan be exactly 3 times as old as her daughter?
The age gap between them never changes. Your child can find the answer by tracking this unchanged difference:
Age difference = 40 – 12 = 28 years
In the future, the ratio will be 3:1, meaning the difference between their units is 3 – 1 = 2 units.
2 units = 28 years. We know that these 28 years are constant and can never change between Mrs Tan and her daughter.
1 unit = 14 years
The daughter will be 14 years old when Mrs Tan is three times her age.
So in two years’ time (since the daughter is currently 12 years old), Mrs Tan would be exactly 3 times as old as her daughter.
Students also have to understand the concept of Constant Total, which takes a different approach. The Constant Total framework applies when items are transferred internally (for instance, from one box to another), meaning the overall sum remains unchanged.
Remainder / Branching Concept
This approach helps your child map out fraction or percentage problems that describe spending or giving away items in sequential stages.
When a student sees “…of the remainder” or “…of the rest,” it means the next action applies only to the leftover amount from the previous step, not to the original total.
Your child must learn to watch out for the phrasing to avoid calculating sub-fractions based on the initial total.
For example:
Sarah spent ⅕ of her allowance on a book. She spent ½ of the remainder on lunch and had $12 left. How much was her total allowance?
A hasty student might add ½ and ⅕ together and assume that that was the fraction that Sarah had spent. However, this isn’t the case.
The first branch leaves a remainder of ⅘. The next branch takes ½ of that remainder, leaving the final portion:
Half (½) of ⅘ is ⅖. Since Sarah’s remaining allowance is $12, this is ⅖ of her total allowance.
Final fraction = ½ x ⅘ = ⅖
⅖ of total allowance = $12
⅕ of total allowance = $12 / 2 = $6
Total allowance = 5 x $6 = $30
Quantity x Value
In these questions, objects have two distinct traits: the item count (Quantity) and the individual cost or worth (Value).
Your child must learn how to solve PSLE problem sums like this by clustering items into identical groups or sets.
For example:
David bought some pens at $2 each and twice as many markers at $3 each. He paid $40 in total. How many markers did he buy?
Your child can form one standard group consisting of 1 pen and 2 markers:
Value of 1 group = (1 x $2) + (2 x $3) = $8
Number of groups = $40 / $8 = 5 groups
Since each group contains 2 markers and 1 pen
Your child finishes with:
Total markers bought = 5 groups x 2 markers = 10
So David bought 10 markers (amounting to $30) and 5 pens (amounting to $10).
Gaps & Differences/Supposition
Commonly known as the “chickens and ducks” scenario, this framework involves two types of items with different values adding up to a known total.
Your child can use the Supposition Method to assume an extreme case and resolve the mathematical gap.
For example:
A quiz has 20 questions. A student gets 5 marks for every correct answer and loses 2 marks for every wrong answer. If James scored 58 marks, how many questions did he answer correctly?
Your child can suppose all 20 questions were answered perfectly:
Assumed maximum marks = 20 x 5 = 100 marks
Total score deficit = 100 – 58 = 42 marks
Since a student gains 5 marks for every correct answer (+5), and loses 2 marks for every wrong answer (-2), the difference between a correct answer and a wrong answer is 7.
Difference per wrong answer = 5 – (-2) = 7 marks
Number of wrong answers = 42 / 7 = 6 questions
Number of correct answers = 20 – 6 = 14 questions
The student answered 14 questions out of the 20 questions correctly.
Ways to Improve Students’ Sum Revision Plan
To make your child’s home preparation more effective, implement these actionable PSLE math tips into their daily routine. You’ll also find these approaches integrated into the teaching methods of a small group math tuition centre.
Introduce Test-taking Pacing
Knowledge is only half the battle. Time management plays an equally important role.
Train your child to allocate roughly 1.5 to 2 minutes per mark during Paper 2 practice sessions. If they encounter a complex 5-mark question and find themselves stuck for more than 5 minutes, teach them to move on and secure easier marks elsewhere first.
This trains them to allocate their mental endurance wisely.
Collate Student Mistakes Throughout Worksheets and Activities
Create a dedicated error logbook. Gather all the problem sums your child gets wrong in school worksheets, tuition assignments, or mock papers.
Have them re-attempt these exact questions at a later time. Mark the questions they now solve correctly, and the ones they still struggle with. This will allow you to pinpoint their weaknesses.
This process ensures they learn from their missteps instead of repeating the same errors during the exam.
Remember to Taper Off
In the final two weeks leading up to the examination, reduce the volume of heavy practice papers. Focus instead on reviewing their compiled error logbook and fundamental formulas to keep their mind relaxed and ready.
While training can be helpful, stress can hamper a student’s procedural thinking and love for the subject, both of which are integral to passing the exams.
Enrol Them in a PSLE Math Tuition in Singapore Today
Navigating these heuristics alone can be challenging for both you and your child. Choosing a targeted PSLE math tuition in Singapore can provide them with the guidance they need to face the exam with confidence.
At The Heuristic Way Tuition, we provide specialised small-group sessions that focus on breaking down complex word problems and applying heuristics.
Unlike typical tuition centres that teach a rigid, fixed weekly topic to an entire classroom, we treat every student as an individual. Even within a group setting, every child receives their own customised worksheet packs, their own tailored lesson paths, and adaptive pacing based on their current mastery level. Students advance only when they have proven mastery over a concept.
Take the first step toward stress-free math mastery. Speak with our team at Bukit Batok to map out a final-stretch revision plan built around the five frameworks above.
Frequently Asked Questions
How should the revision time be split between Paper 1 and Paper 2 during the final weeks?
A balanced rule of thumb is a 40/60 split. Parents frequently over-focus on the 5-mark problem sums in Paper 2, ignoring the fast-paced nature of Paper 1. Paper 1 is worth 45% of the total score and permits zero use of a calculator.
How many mock exam papers should my child be practising per week as the PSLE approaches?
Limit full-exam practice to one or two papers per week. Flooding your child with daily papers leads to cognitive burnout. The quality of correction always beats the quantity of production. It is far better to do one paper with a line-by-line error review than to rush through four papers with superficial ticking.
My child understands a concept during tuition, but completely freezes up during timed school mock exams. Why is this?
Mastery leads to speed and accuracy. However, if an otherwise adept student freezes during timed exams, it’s likely the student hasn’t adapted to the pressure and stress of timed exams. To get them accustomed to timed exams, have them solve five-mark problem sums with a timer.