Without Panic Maths · Number 44

Percentages Over 100 Percent

100% is one whole. More than 100% means the whole plus an extra part. 150% of 20 is 20 plus half of 20, which is 30. A larger amount compared with a smaller one gives a percentage over 100%.

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Mini-lessons
10
Questions
132
Student Pack
93 pages
Suggested year
Year 9

What you get

  • Student Pack (PDF, 93 pages)
  • Teacher Pack (PDF) with every answer and reteach cards
  • Print as many copies as you need for your own pupils

Save with a bundle

  • Percentages & FDP8 packs · £28 £25
  • Number, Year 913 packs · £42 £37
  • Number: complete strand54 packs · £182 £161

What this pack does

What pupils learn

100% is one whole. More than 100% means the whole plus an extra part. 150% of 20 is 20 plus half of 20, which is 30. A larger amount compared with a smaller one gives a percentage over 100%.

The mini-lessons

  1. What does more than 100% mean?
  2. Show 100% and the extra part
  3. Find 110%, 120%, 150% and 200% of an amount
  4. Build 125%, 175% and 250% from quarters and halves
  5. Money, measures and scaling above 100%
  6. Express a larger quantity as a percentage of a smaller one
  7. Compare quantities using percentages above 100%
  8. Growth, targets and recipe scaling
  9. Link percentage increase to the final percentage
  10. Mistake Detective and mixed reasoning

Inside every pack

What each part of the page is for

  1. Confidence check

    Pupils tick how a topic feels before they start, and again at the end. There are no marks, so it's an honest picture of where they are.

  2. Short mini-lessons

    Each topic is split into small steps. Every mini-lesson opens with one big idea and a short, plain-English explanation.

  3. Visuals for every idea

    Diagrams such as a formula 'rule machine' or a place-value picture show the maths, so pupils can see it as well as read it.

  4. Worked examples

    Every method is modelled step by step before pupils try it, with each stage labelled so they can follow it on their own.

  5. Scaffolded practice

    Questions start with prompts (what do you need to find, follow the example, check it makes sense) and gradually ask for more independence.

  6. Spot the trap

    Common mistakes are named before pupils make them, and Mistake Detective questions ask them to find and fix errors.

  7. Pause and think

    Short 'explain it in your own words' prompts check that pupils understand why the maths works, not just how.

  8. Teacher Pack with answers

    Every pack comes with a Teacher Pack: all the answers, plus reteach cards saying what to watch for, what to say, and what to try if a pupil is still stuck.

More number packs

Number 17 · Year 8

Multiplying and Dividing Decimals

Multiplying by 10, 100 or 1 000 makes a number bigger, so the digits move left. Dividing makes it smaller, so the digits move right. The decimal point stays still. Count the zeros to know how many places.

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Number 18 · Year 8

Multiplying Decimals by Whole Numbers

Multiplying a decimal by a whole number still means equal groups. 0.4 × 3 is three groups of 0.4. Estimate first, multiply, then make sure the answer is a sensible size.

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