PSLE Math Paper 2: Complete Strategy Guide for Long-Answer Questions
Master PSLE Math Paper 2 with a 3-phase time plan, working-step formula for method marks, and the 5 power heuristics that solve most problem sums.
PSLE Math Paper 2: Your Battle Plan for Long-Answer Questions
Paper 2 is where the big marks live — and where most students lose them. You get a calculator, but you also face the hardest problem sums in the exam. Here is your complete strategy guide.
Know Your Battlefield (2026 Format)
PSLE Math Paper 2 is worth 50 marks — exactly half your total Math score. Here is the breakdown:
| Section | Questions | Marks Each | Total | Calculator? |
|---|---|---|---|---|
| Short Answer | Q1–Q5 | 2 marks | 10 marks | Yes |
| Long Answer | Q6 onwards | 3–5 marks | 40 marks | Yes |
| Total | ~15 questions | — | 50 marks | Yes |
Time allowed: 1 hour 20 minutes (80 minutes)
⚠️ The Paper 2 Trap
Paper 2 has fewer questions than Paper 1 — but each question carries much more weight. One 5-mark question gone wrong hurts more than five 1-mark MCQs in Paper 1. Every question counts.
The 3-Phase Attack Plan
Don’t just start from Question 1 and grind through. Use this 3-phase strategy to maximise your marks.
Phase 1: Quick Wins (First 15 Minutes)
Target: Questions 1–5 (the 2-mark short-answer questions)
These are the easiest marks in Paper 2. They test straightforward skills — one or two steps, direct calculation. Your goal:
- Spend no more than 2–3 minutes per question
- Show one line of working (even though they’re “short answer”)
- Bank 10 marks before the real battle begins
💡 Pro Tip
If a 2-mark question takes you longer than 3 minutes, circle it and move on. Come back during your checking time. These are meant to be quick — if it feels hard, you’re probably overthinking it.
Phase 2: The Middle Ground (Next 40 Minutes)
Target: The 3-mark questions
These are the bread-and-butter problem sums. They usually need 2–3 steps and test standard topics like fractions, ratios, percentage, and area/perimeter.
- Spend about 5 minutes per question
- Always show every step of your working (more on this below)
- Draw a diagram or model if the question involves comparison or sharing
Phase 3: Boss Battles (Final 25 Minutes)
Target: The 4–5 mark questions
These are the hardest questions in the entire PSLE. They test multi-step problem solving, often combining two or more topics. They’re the ones your friends complain about after the exam.
- Spend up to 7–8 minutes per question
- Read the question twice before writing anything
- Identify which heuristic to use (see Section 4 below)
- If you’re completely stuck after 3 minutes of thinking, skip it and come back
❌ Time Check
With 5 minutes left, STOP solving and switch to checking. Re-read every answer. Make sure you answered what was asked. Check your units. This 5-minute check is worth more than a half-finished boss battle.
The Working-Steps Formula (Method Marks Matter)
Here is the biggest difference between Paper 1 and Paper 2: Paper 2 rewards your working, not just your answer.
Even if your final answer is wrong, you can still earn method marks for correct working. A student who shows clear steps and makes one arithmetic slip will score much higher than a student who writes only the final answer and gets it wrong.
The 3-Line Rule
For every long-answer question, your working should follow this pattern:
The 3-Line Rule
Structure:
Line 1: Set up — write the equation, model, or formula
Line 2: Calculate — show the arithmetic step by step
Line 3: Answer — write a complete answer statement with units
Example: Earning Method Marks
Example: A Percentage Question (3 marks)
Problem:
A bag costs $120. During a sale, it is sold at a 15% discount. Find the sale price of the bag.
Good Working (full marks even with a slip):
Discount = 15% of $120
= \18$
Sale price = $120 − $18 = $102
Bad Working (0 marks if answer is wrong):
$120 − 15% = $102
If you accidentally wrote $112 with the “bad working” approach, you’d get 0 marks. With the “good working” approach, you’d still earn 2 out of 3 marks because the setup and discount calculation were correct.
💡 The Golden Rule of Working
Write your working as if you’re teaching a friend how to solve the problem. If they can follow your steps without guessing, you’ll earn method marks.
Working Steps Checklist
Use this checklist for every long-answer question:
- Label your work — write what each number represents (e.g., “Cost of 3 apples = …”)
- One operation per line — don’t chain everything into one giant expression
- Circle or box your final answer — so the marker can find it instantly
- Include units — $, kg, m, cm², litres (whatever the question asks for)
- Write an answer statement — “The sale price of the bag is $102.”
The 5 Power Heuristics
Most Paper 2 long-answer questions can be cracked with one of these five problem-solving methods. Learn to recognise which one to use — that’s half the battle.
1. Bar Model (Draw a Diagram)
When to use: Fractions, ratios, percentages, comparison, sharing problems
The bar model is the single most powerful tool in Singapore Math. It turns word problems into pictures.
Bar Model Example (4 marks)
Problem:
Ali and Ben shared some stickers in the ratio 3 : 5. If Ben gave 12 stickers to Ali, they would have the same number. How many stickers did they have altogether?
Step 1: Draw the model
Ali: [___][___][___] → 3 units
Ben: [___][___][___][___][___] → 5 units
Step 2: Figure out what changes
After transfer, they are equal → both have 4 units.
So Ben gave away 1 unit = 12 stickers.
Step 3: Find the total
1 unit = 12
Total = 3 + 5 = 8 units = 8 × 12 = 96 stickers
2. Working Backwards
When to use: When the question gives you the end result and asks for the starting value
Working Backwards Example (3 marks)
Problem:
Sarah spent of her money on a book and then $15 on lunch. She had $25 left. How much money did she have at first?
Work backwards from $25:
Before lunch: $25 + $15 = $40
$40 is of her original money (she spent on a book)
→ $40
→ $20
→ $60
She had $60 at first.
3. Assumption Method (Suppose)
When to use: Two types of items with different values, and you know the total count and total value
This is the classic “chicken and rabbit” heuristic. Assume everything is one type, then adjust.
Assumption Method Example (4 marks)
Problem:
A quiz has 20 questions. Each correct answer earns 5 marks and each wrong answer deducts 2 marks. Wei Ling scored 58 marks. How many questions did she answer correctly?
Assume all 20 are correct:
Expected score = 20 × 5 = 100 marks
Difference = 100 − 58 = 42 marks
Each wrong answer costs 5 + 2 = 7 marks (lose the 5 you should have gained, plus lose 2 more)
Number wrong = 42 ÷ 7 = 6 questions
Number correct = 20 − 6 = 14 questions
4. Systematic Listing
When to use: “How many ways…”, “Find all possible…”, combination/arrangement problems
💡 Organisation Is Everything
Start from the smallest or largest value and list systematically in order. If you list randomly, you’ll miss cases. Use a table if there are two changing variables.
5. Unitary Method (Find 1 Unit First)
When to use: Rate problems, proportion, “if 3 cost $12, how much do 7 cost?”
The idea is simple: find the value of 1 unit first, then multiply to find what you need.
5 Common Paper 2 Traps (and How to Dodge Them)
Trap 1: Not Answering What Was Asked
The question asks for Ben’s share, but you calculated Ali’s share. The question asks “how many more”, but you found the total.
Fix: After writing your answer, re-read the last sentence of the question. Does your answer match what was asked?
Trap 2: Forgetting to Convert Units
The question gives distance in km and time in minutes, but asks for speed in km/h. Or it gives area in cm² but the answer needs m².
Fix: Before calculating, circle all the units in the question. If they don’t match, convert first.
Trap 3: Writing Only the Final Answer
Even if you’re confident in your mental calculation, write the steps. If your answer is wrong and you have no working, you get 0 marks.
Fix: Follow the 3-Line Rule (see Section 3).
Trap 4: Misreading “More Than” vs “As Many As”
- “Ali has 3 times as many as Ben” → Ali = 3 × Ben
- “Ali has 3 times more than Ben” → Ali = 4 × Ben (Ben’s amount + 3 times Ben’s amount)
Fix: Draw the bar model. It makes the difference obvious.
⚠️ This Costs 4–5 Marks Every Year
The “more than” vs “as many as” trap is one of the most common reasons students lose marks on ratio and fraction questions. Always draw the model to check.
Trap 5: Rushing the Last Question
The last question in Paper 2 is almost always a 4–5 mark multi-step problem. Students panic because time is running out and rush through it, making careless errors.
Fix: If you only have 3 minutes left and haven’t started the last question, don’t write a rushed mess. Instead, write what you do know:
- Write the equation or relationship you’ve identified
- Show any partial calculation
- Write “therefore…” even if incomplete
This can still earn you 1–2 method marks — far better than a wrong answer from rushing.
The Final 5-Minute Protocol
When you hear “5 minutes left”, stop solving and start checking.
The R.U.S.H. Checklist
| Letter | Check | What to Do |
|---|---|---|
| R | Re-read the question | Does your answer match what was asked? |
| U | Units | Are all units correct and consistent? |
| S | Statement | Does every answer have a complete statement? |
| H | ”How much/many” | Did you answer the right person or thing? |
💡 The Circle Trick
During the exam, lightly circle any question you felt unsure about. During your final 5 minutes, check those questions first — they’re the highest-value targets.
Your Paper 2 Game Plan (Summary)
| Phase | Time | What to Do | Target Marks |
|---|---|---|---|
| Phase 1: Quick Wins | 0–15 min | Q1–Q5 (2-mark short answers) | 10 marks |
| Phase 2: Middle Ground | 15–55 min | 3-mark questions | ~18–21 marks |
| Phase 3: Boss Battles | 55–75 min | 4–5 mark questions | ~15–20 marks |
| Final Check | 75–80 min | R.U.S.H. protocol | Save 2–5 marks |
💡 The One Thing to Remember
Paper 2 rewards clear working more than anything else. A well-organised solution with a small slip earns far more than a correct answer with no working. Write as if you’re teaching someone — label everything, show every step, and always include an answer statement with units.
Quick Reference: Which Heuristic to Use?
Stuck on a question? Use this decision guide:
| If the question involves… | Try this heuristic |
|---|---|
| Sharing, comparing, fractions of amounts, ratios | Bar Model |
| ”At first…” or finding a starting value | Working Backwards |
| Two types of items, total count and total value | Assumption Method |
| ”How many ways”, “Find all possible” | Systematic Listing |
| Rate, proportion, “if X costs Y” | Unitary Method |
| None of the above | Draw a diagram — it almost always helps |
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