Topic Seven (1.7): Upper and lower bounds

Introduction Icon.png Introduction

If we are given a number that has been rounded, we won’t know exactly what the original number was but we can work out what the highest and lowest value it could have been.


Consolidate Icon.png Warm Up

We will start this lesson by playing these two rounding games. Be as quick as you can! 

PLAY – Rounding to the nearest 10, 100, 1000 - beat the clock (MyMaths) Links to an external site. 

PLAY –Rounding decimals - beat the clock 2 (MyMaths) Links to an external site. 


Interact Icon.png Working through your course book

  • Start by watching this video, which introduces the topic:

WATCH – Bounds (MathsWatch) Links to an external site.

  • Read and make notes on page 49, copying out the worked example. 
  • Now see if you can answer the Band 2 questions on pages 50-51. 
  • If you would like more practice, then work through these lessons on the MyMaths website: 

EXPLORE – Upper and lower bounds 1 (MyMaths) Links to an external site. 

  • You may also want to watch the following Corbettmaths video:  


Optional Activities Icon.png Plenary

Can you work out the upper and lower bounds quick enough to Beat the Clock? Play the game on slide 8:

PLAY – Upper and lower bounds 1 (MyMaths) Links to an external site.


Bridge Icon.png Support activities for this topic

The Band 1 questions on page 50 will help build your skills on this topic.


Stretch Icon.png Extension activities for this topic

If you would like more of a challenge on this topic, go to page 51 and attempt the Band 3 questions.