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Mathematics·Fractions·conceptual

Understanding Percentages

Understand the per cent symbol (%); know that per cent means ‘number of parts per hundred’; write percentages as a fraction with denominator 100 and as a decimal

Suggested ages 9–10

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Learning journey

Your child is exploring fractions, decimals, and percentages — understanding how they relate to each other, adding and subtracting fractions, and solving real-world problems involving these concepts.

Evidence of understanding

  • Write 35% as 35/100 and as 0.35
  • Shade 40% of a 10×10 grid and write the fraction 40/100
  • Explain that 100% means the whole, 50% means half

Assessment prompt

If a shop advertises 50% off, can Understanding Percentages explain that this means half price — and write 50% as both a fraction and a decimal?

Standards alignment

No external standards are linked to this topic.