# Upper and Lower Bound

In this lesson, we will learn what upper and lower bound mean and how this links with range.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.A teacher asked two students to round the number 5,469,704. Their answers are below. Which student(s) rounded the number correctly? Explain your answer.

1/6

Q2.I think about a number and rounds it to the nearest hundred. My answer is 5300. What is the greatest possible number I could have thought of?

2/6

Q3.Halima is planning a concert to raise money for charity. Entry to the concert is £5.00. The number of people attending the concert is 700 to the nearest hundred. What is the lowest possible amount of money she raised for charity?

3/6

Q4.The population of Northern Ireland is 1.9 million, to the nearest hundred thousand. What is the lowest possible number of people that live in N.Ireland?

4/6

Q5.The population of Northern Ireland is 1.9 million, to the nearest hundred thousand. What is the greatest possible number of people that live in N.Ireland?

5/6

Q6.The population of Birmingham is 1.1 million rounded to nearest hundred thousand. What is the range of values for the population of Birmingham?

6/6

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.A teacher asked two students to round the number 5,469,704. Their answers are below. Which student(s) rounded the number correctly? Explain your answer.

1/6

Q2.I think about a number and rounds it to the nearest hundred. My answer is 5300. What is the greatest possible number I could have thought of?

2/6

Q3.Halima is planning a concert to raise money for charity. Entry to the concert is £5.00. The number of people attending the concert is 700 to the nearest hundred. What is the lowest possible amount of money she raised for charity?

3/6

Q4.The population of Northern Ireland is 1.9 million, to the nearest hundred thousand. What is the lowest possible number of people that live in N.Ireland?

4/6

Q5.The population of Northern Ireland is 1.9 million, to the nearest hundred thousand. What is the greatest possible number of people that live in N.Ireland?

5/6

Q6.The population of Birmingham is 1.1 million rounded to nearest hundred thousand. What is the range of values for the population of Birmingham?

6/6

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Upper and Lower Bound Quiz

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Write down an inequality expressing the lower and upper bound for 23.071kg to three decimal places

1/6

Q2.Write down an inequality expressing the lower and upper bound for 0.3m given to 1 significant figure

2/6

Q3.Write down an inequality expressing the lower and upper bound for 0.023 given to 2 significant figure

3/6

Q4.The length of a football field is 500m to the nearest 10m. Jacob says the lower bound is 450m and the upper bound is 550m. Is he correct? Give a reason for your answer.

4/6

Q5.The mass of a loaf of bread is given as 1.7kg to the nearest 0.1kg. Write an inequality expressing the upper and lower bound of the mass.

5/6

Q6.A piece of string is measured at 1.57m to two decimal places. Write an inequality expressing the lower and upper bound within which l, the actual length of string lies.

6/6

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Upper and Lower Bound Quiz

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Write down an inequality expressing the lower and upper bound for 23.071kg to three decimal places

1/6

Q2.Write down an inequality expressing the lower and upper bound for 0.3m given to 1 significant figure

2/6

Q3.Write down an inequality expressing the lower and upper bound for 0.023 given to 2 significant figure

3/6

Q4.The length of a football field is 500m to the nearest 10m. Jacob says the lower bound is 450m and the upper bound is 550m. Is he correct? Give a reason for your answer.

4/6

Q5.The mass of a loaf of bread is given as 1.7kg to the nearest 0.1kg. Write an inequality expressing the upper and lower bound of the mass.

5/6

Q6.A piece of string is measured at 1.57m to two decimal places. Write an inequality expressing the lower and upper bound within which l, the actual length of string lies.

6/6

# Lesson summary: Upper and Lower Bound

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Climb stairs

On the spot:
Chair yoga