Fractions (P5) Practice
Master all four operations with fractions and mixed numbers. Tackle word problems involving fractions of a quantity, comparing fractions, and the critical 'Remainder Concept' that connects directly to P6.
Common Mistakes to Avoid
Adding numerators AND denominators instead of finding a common denominator
Forgetting to convert mixed numbers to improper fractions before multiplying
Not simplifying the final answer
Practice Questions
Try each question. When you're stuck, reveal the Socratic strategy — a guided hint that teaches you how to think, not just what to write.
Calculate 2⅓ + 1¾. Give your answer as a mixed number in simplest form.
A rope is 4⅕ m long. Peter cuts off ⅗ of it. How long is the piece he cuts off? Give your answer in metres.
Arrange in order from smallest to largest: ⅔, ¾, 5/8.
Parent & Tutor Insight
Use food at home — cut a pizza or orange into equal slices to make fractions tangible. Students who can visualise fractions solve word problems 40% faster than those who rely on rules alone.
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Common Questions
When should my child use the 'Branching Method' vs the model method for fraction word problems?
Use the branching method for multi-step 'fraction of a remainder' problems (e.g. 'Ali spent 1/3 of his money, then ¼ of the rest…'). Use the model method when the fraction relates to a concrete quantity. Many students find the branching method faster once mastered.
What exactly is the P5 'Remainder Concept' in fractions?
It refers to problems where a fraction of the 'leftover' portion is used — e.g., 'After spending 2/5, Ali gives ½ of the remainder to his sister.' These problems require two-step reasoning and are a major source of exam errors. Practise them specifically.
How do I help my child remember to simplify?
Make it a habit to check: 'Is there any number that divides evenly into both the numerator and denominator?' Use a dedicated 'simplify' step at the end of every fraction calculation.