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Quick answer
Feeling your heart sink when you see a percentage question in your PSLE Maths paper? Don't worry, you're not alone. Many students lose marks on percentage questions because of small mistakes. By breaking down each step clearly and practising daily, you can gain confidence and improve your accuracy.
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What you need to know
Percentage is a way of expressing a number as a part of 100. It helps us compare values easily. For example, if you score 75% on a test, it means you got 75 out of every 100 marks.
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Why percentage questions trip us up
Most Primary 5 students struggle with this transition from basic concepts to more complex word problems. Parents are often surprised that the key is not in more assessment books but in understanding the steps. A simple trick I teach my students is to always check what the percentage is compared to. Is it the total, a part, or something else?
Revision checklist
- Misreading the question: Always underline key numbers and words. It helps to see what the question is really asking.
- Wrong base value: Double-check if the percentage is based on the total or another value.
- Calculation slips: Use a calculator for tricky numbers, but know how to do it manually in case of simple numbers.
- Skipping steps: Write down each step, even if it seems easy. This prevents errors and shows your working clearly.
- Forgetting to convert fractions/decimals: Always convert numbers to the same form before calculating.
Exam tip
Presentation matters. Always write your working steps clearly. PSLE markers look for understanding, not just the right answer. Allocate time wisely—don't spend too long on one question. Move on and return if needed.
Worked examples
Question
A shirt costs 𝑆 before a 20% discount. After the discount, the price is $80. What is the original price of the shirt?
Solution
Step 1: Understand the question. We need to find the original price before the discount.
Why: Knowing the start point helps us set up the correct equation.
Step 2: Set up the equation: 𝑆 - 0.2𝑆 = 80.
Why: The 20% discount means we pay 80% of the original price.
Step 3: Simplify the equation: 0.8𝑆 = 80.
Why: This shows what part of the original price represents.
Step 4: Solve for 𝑆: .
Why: Dividing by 0.8 reverses the percentage calculation to find the full original price.
Quick check
- A bag costs after a 25% discount. What was the original price?
- If 30% of a number is 45, what is the number?
- A student scored 80 out of 100 in a test. What is this in percentage?
Answers: 1) , 2) , 3) 80%
Quick summary
- Percentage expresses a number out of 100.
- Check what the percentage is based on: total, part, etc.
- Underline key information in questions.
- Write down all steps to avoid careless mistakes.
- Know when to use a calculator and when to do manual calculations.
- Convert all numbers to the same form before working them out.
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FAQ
What is the easiest way to calculate percentages?
Start by understanding what the percentage is out of. Use simple fractions or decimals to help with calculation.
How do I know what base value to use in percentage questions?
Check the question carefully. Look for words like "total" or "part of". These clues tell you what the percentage is compared to.
Why do I keep making mistakes with percentage word problems?
It’s often because the steps aren't clear in your mind. Break down the problem, and practice writing each step.
How can I improve my percentage problem-solving speed?
Practice a little every day. Use past-year questions to get used to the format and timing.
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Free on Tutorly.sg
Practise with step-by-step help — free to start
On Tutorly.sg/app you can practise unlimited Singapore syllabus questions, get instant explanations when you are stuck, and use past-year papers — no sign-up needed to start.
- ✓ PSLE, O Level, A Level, and more
- ✓ Step-by-step working when you are stuck
- ✓ Works on phone and laptop