Fractions

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Sample Questions

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Preview AQA GCSE style questions on Fractions. Click "Show Solution" to see the step-by-step answer.

EasyQuestion 1

[2 marks]

Simplify fully: (a) 12/18 (b) 35/56

MediumQuestion 2

[3 marks]

Write these fractions in order from smallest to largest: 2/3 5/8 7/12 3/4

HardQuestion 3

[4 marks]

Convert 4⅗ to an improper fraction. A rope is 4⅗ metres long. Sarah cuts off ⅘ of a metre. What length of rope remains? Give your answer as a mixed number in its simplest form.

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About Fractions in AQA GCSE

Fractions represent parts of a whole and are fundamental to GCSE Mathematics. A strong understanding of fractions is essential for topics including ratio, proportion, algebra, and probability. A fraction consists of a numerator (top number) showing how many parts we have, and a denominator (bottom number) showing how many equal parts make the whole. **Key Concepts:** - Proper fractions: numerator < denominator (e.g., ¾) - Improper fractions: numerator ≥ denominator (e.g., 7/4) - Mixed numbers combine whole numbers and fractions (e.g., 1¾) - Equivalent fractions have the same value (e.g., ½ = 2/4 = 3/6) **Simplifying Fractions:** Divide both numerator and denominator by their highest common factor (HCF). Example: 12/18 = 2/3 (dividing both by 6) **Comparing Fractions:** Method 1: Convert to equivalent fractions with the same denominator Method 2: Convert to decimals and compare **Converting Mixed Numbers:** - To improper: multiply whole number by denominator, add numerator - To mixed: divide numerator by denominator **Exam Tips:** - Always simplify your final answers fully - Find the LCM of denominators when comparing or adding - Convert mixed numbers to improper fractions for calculations