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Quick answer
You see a percentage question in your PSLE math paper, and your heart sinks. The numbers look like a foreign language, right? Don't worry. Once you break it down into smaller steps, percentages become much easier to handle. Let's make those marks yours!
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What you need to know
A percentage is a way to express a number as a part of 100. It helps us compare values easily. If you scored 75% on a test, it means you got 75 out of 100 marks. Simple, right?
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Understanding Percentages
Visualising Percentages
Many students struggle because they can't picture what percentages really mean. Imagine a pizza cut into 100 slices. If you eat 25 slices, you've eaten 25% of the pizza. Picture it this way, and it becomes less intimidating!
Converting Percentages to Fractions and Decimals
Sometimes you need to switch between percentages, fractions, and decimals. Here's how:
Step 1: To convert a percentage to a fraction, place it over 100.
Why: This shows the percentage as parts out of 100.
Step 2: Simplify the fraction if possible.
Why: A simpler fraction is easier to understand and use.
Step 3: To convert a percentage to a decimal, divide by 100.
Why: This shifts the decimal point two places to the left, making it a decimal number.
Quick check
- Convert 50% to a fraction and a decimal.
- What is 20% of 150?
- If a shirt costs $80 and is on a 25% discount, what is the new price?
Common mistakes students make
Focusing Only on Assessment Books
Parents are often surprised that relying too much on assessment books doesn't help. Instead, understanding concepts through stories and images makes a big difference.
Forgetting to Convert Units
Many students forget to convert units before solving percentage problems. Always check if you're working with consistent units.
Misreading the Question
This part trips everyone up. Always read the question twice. Check if you're finding the percentage of a number or converting a number to a percentage.
Exam tip
Always show your working clearly. This way, even if your final answer is wrong, you might still earn marks for the correct method. Time management is crucial; spend no more than 5 minutes on a percentage question.
Worked examples
Question 1
What is 30% of 200?
Solution
Step 1: Convert the percentage to a fraction: 30% = 30/100.
Why: This helps us see the percentage as a part of the whole.
Step 2: Multiply 30/100 by 200.
Why: This gives us the part of 200 that is 30%.
Step 3: Calculate: (30/100) × 200 = 60.
Why: This tells us that 30% of 200 is 60.
Question 2
A store is offering a 15% discount on a toy that costs $120. What is the discounted price?
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Solution
Step 1: Convert the discount percentage to a decimal: 15% = 0.15.
Why: This makes it easier to calculate the discount amount.
Step 2: Multiply 0.15 by $120 to find the discount amount.
Why: This tells us how much money is being taken off the original price.
Step 3: Subtract the discount from the original price: $120 - $18 = $102.
Why: This gives us the final price after the discount.
Quick summary
- Percentage means "out of 100".
- Convert percentages to fractions by placing them over 100.
- Convert percentages to decimals by dividing by 100.
- Always show your working in exams for partial marks.
- Practice with real-life examples to understand better.
FAQ
Q 1: How do I calculate percentage increase?
To find the percentage increase, subtract the old value from the new value, divide by the old value, and multiply by 100.
Q 2: What's the difference between percentage and percentile?
Percentage is out of 100. Percentile shows your position relative to others in a group.
Q 3: Why do I need to learn percentages?
Percentages are everywhere — discounts, test scores, statistics. They help you understand and compare numbers easily.
Q 4: How can I improve my percentage calculation skills?
Practice daily with different types of questions. Use stories or visuals to make it stick.
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Related Topics You Should Learn Next
- PSLE Mathematics: Mastering Percentages with Confidence
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- PSLE Mathematics: Geometry and Measurement Made Simple
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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