๐Ÿ”ข Maths Deep-Dive

PSLE Maths Fractions: Common Mistakes & How to Fix Them

๐Ÿ“… Published: August 2026  ยท  โœ๏ธ By: PSLE Hero Editorial Team

Fractions form the core foundation of Primary 5 and Primary 6 Mathematics. In Paper 2 structured questions, fraction concepts are combined with ratios, decimals, and percentages. Understanding the core fraction patterns and avoiding subtle exam traps can mean the difference between AL1 and AL3.

๐Ÿ“– Related Maths Revision Guides:

โ€ข PSLE Maths Revision Tips (General paper strategy & timing)
โ€ข PSLE Maths Heuristics Guide (5 core heuristic types)
โ€ข PSLE Maths Model Drawing Guide (Part-Whole & Comparison models)

1. The 4 Most Common Fraction Traps in PSLE Maths

Most marks lost in fraction problem sums are not caused by weak multiplication or addition skills, but by misinterpreting what the fraction is operating upon.

Trap 1: Confusing "Fraction of a Set" with "Fraction of a Remainder"

"John spent 1/3 of his money on a book and 1/4 of his money on a pen" is completely different from "John spent 1/3 of his money on a book and 1/4 of the remainder on a pen." Always check whether the second fraction refers to the original total or the leftover amount.

Trap 2: Fraction as a Portion vs Fraction with Units

"Mandy had 3/4 kg of flour. She used 1/2 kg" vs "Mandy had 3/4 kg of flour. She used 1/2 of it." In the first sentence, 1/2 kg is a direct physical mass to subtract (3/4 - 1/2 = 1/4 kg left). In the second, 1/2 is a ratio portion (1/2 of 3/4 kg = 3/8 kg used).

Trap 3: Adding or Subtracting Denominators directly

Students under exam stress occasionally write 1/3 + 1/4 = 2/7. Always convert fractions to a common denominator before adding or subtracting.

Trap 4: Forgetting to Express Answers in Simplest Form

Leaving a final answer as 4/8 instead of 1/2 will result in a 1-mark deduction for final accuracy in short-answer questions.


2. Core Concept 1: Remainder Concept (Branching Method)

When a problem sum mentions spending or giving away a fraction of the remaining amount, the Branching (or Tree) Method is the most efficient non-model heuristic.

Worked Example: Remainder Concept
Siti had a sum of money. She spent 2/5 of her money on a bag. She then spent 1/3 of the remaining money on lunch. If she had $72 left, how much money did Siti have at first?

Step 1: Set up the initial branch.
Total = 5/5.
Spent on Bag = 2/5.
Remainder = 1 - 2/5 = 3/5.

Step 2: Branch out from the Remainder.
Lunch = 1/3 of Remainder = 1/3 ร— 3/5 = 1/5 of original total.
Money Left = Remainder - Lunch = 3/5 - 1/5 = 2/5 of original total.

Step 3: Solve for the total.
2 units (Left) = $72
1 unit = $72 รท 2 = $36
Total (5 units) = 5 ร— $36 = $180.


3. Core Concept 2: Equal Fractions Concept

When a question states that a fraction of one group is equal to a fraction of another group, equate the numerators to find the ratio between the two totals.

Worked Example: Equal Fractions
1/3 of Alex's savings is equal to 2/5 of Ben's savings. If Alex has $30 more than Ben, find Alex's savings.

Step 1: Write down the equal fractions.
1/3 Alex = 2/5 Ben.

Step 2: Equate the numerators (LCM of 1 and 2 is 2).
Convert 1/3 to 2/6.
2/6 Alex = 2/5 Ben.

Step 3: Interpret the units.
Alex has 6 total units.
Ben has 5 total units.

Step 4: Calculate the difference.
Difference = 6 units - 5 units = 1 unit.
1 unit = $30.
Alex's Savings (6 units) = 6 ร— $30 = $180.


4. Parent Checklist for Home Practice

Use this 4-step checklist when reviewing your child's fraction homework:

Practise PSLE Maths Questions on PSLE Hero

Reinforce fraction concepts and heuristic problem sums with targeted practice questions designed for Singapore primary students.

Try Free Practice Questions

Frequently Asked Questions

Q: What is the difference between "fraction of a set" and "fraction of a remainder"?

Fraction of a set refers to taking a fraction of the original total amount. Fraction of a remainder means taking a fraction of whatever amount is left over after the first item or portion has been subtracted.

Q: How does the Equal Fractions concept work in PSLE Maths?

When a question states that 1/3 of Group A is equal to 2/5 of Group B, you equate the numerators to find the common numerator (e.g. 2/6 of A = 2/5 of B). This reveals that Group A has 6 total units while Group B has 5 total units.

Q: What is the unit conversion trap in PSLE fraction word problems?

Students often fail to distinguish between a fraction representing a portion (e.g. 1/4 of the ribbon) and a fraction representing a fixed measurement unit (e.g. 1/4 metre of ribbon).