Quick answer
Ever felt your heart sink seeing a PSLE math question you thought you knew, but lost marks on? You're not alone. Fractions and ratios can trip up many students with small mistakes. Let's look at why these slip-ups happen and how you can fix them, so you'll feel more confident next time.
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What you need to know
Fractions represent parts of a whole, like slices of a pizza. Ratios compare two or more numbers, like the number of apples to oranges in a basket. They're simple ideas but can get tricky in exams if you're not careful.
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Common mistakes students make
1. Misreading the question
This part always trips students up. You see a word problem and rush into it, missing key details.
Fix: Slow down. Read the question twice. Underline important numbers and words.
2. Not simplifying fractions
Many students forget to simplify their answers, losing easy marks.
Fix: Always check if you can divide the top and bottom of your fraction by the same number before you write your final answer.
3. Confusing ratios with fractions
Ratios and fractions are not the same. But they often look similar, which confuses many students.
Fix: Remember: Fractions are parts of a whole, while ratios compare parts to each other. Practice writing them out clearly to see the difference.
Exam tip
Take your time to check each step. Presentation matters, so write neatly. If you finish early, go back and check your calculations. Even small mistakes can cost marks.
Worked examples
Question
Simplify this fraction: .
Solution
Step 1: Find the greatest common divisor (GCD) of 18 and 24.
Why: We need the GCD to simplify the fraction to its simplest form.
Step 2: Divide both the numerator (top number) and the denominator (bottom number) by the GCD, which is 6.
Why: Simplifying by the GCD ensures the fraction is in its simplest form.
Step 3: Write the simplified fraction: .
Why: Now the fraction is in its simplest form, which is required for full marks.
Quick check
- Simplify .
- What is the ratio of 2 apples to 5 oranges?
- Is the same as ?
Answers: 1. , 2. 2:5, 3. Yes.
Quick summary
- Always read questions twice to avoid missing details.
- Simplify fractions for full marks.
- Know the difference between fractions and ratios.
- Write neatly and check your work.
- Practice daily with short revision sessions.
FAQ
What is the difference between a fraction and a ratio?
A fraction shows parts of a whole. A ratio compares two or more amounts.
Why do I keep losing marks on fractions?
Common reasons include not simplifying your answer and misreading the question.
How can I get better at fractions and ratios?
Practice regularly and break problems into smaller steps. Visual aids can help!
Are fractions and ratios important for PSLE?
Yes, they're a big part of the syllabus and appear often in exams.
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