Maths

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Gabriel's problem

In this lesson, you will learn about a famous maths problem called Gabriel's problem.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

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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!

A sequence is defined as follows: Start with any positive integer value (𝑛). Each term is found from the previous term as follows: If the value is even, divide it by 2 (𝑛/2). If the value is odd, multiply it by 3 and add 1 (3𝑛+1).
Β 
Q1.If the first term of the sequence is 30, what would the second term be?

1/5

Q2.If the second term of the sequence is 30, what would could the first term be?

2/5

Q3.Fill in the gap: The Collatz conjecture states: no matter the start number (𝑛), the sequence will always reach __________.

3/5

Q4.What is the first name of Mr Collatz?

4/5

Q5.In what year did Collatz make his conjecture?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

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!

A sequence is defined as follows: Start with any positive integer value (𝑛). Each term is found from the previous term as follows: If the value is even, divide it by 2 (𝑛/2). If the value is odd, multiply it by 3 and add 1 (3𝑛+1).
Β 
Q1.If the first term of the sequence is 30, what would the second term be?

1/5

Q2.If the second term of the sequence is 30, what would could the first term be?

2/5

Q3.Fill in the gap: The Collatz conjecture states: no matter the start number (𝑛), the sequence will always reach __________.

3/5

Q4.What is the first name of Mr Collatz?

4/5

Q5.In what year did Collatz make his conjecture?

5/5

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

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

Gabriel's problem:

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

Q1.Each blue box is the product of the 3 numbers in that row or column. All the questions refer to this picture below. First, what is the value in box A?

1/3

Q2.What is the value in box B?

2/3

Q3.Which of the following could be a value for C?

3/3

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

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

Gabriel's problem:

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

Q1.Each blue box is the product of the 3 numbers in that row or column. All the questions refer to this picture below. First, what is the value in box A?

1/3

Q2.What is the value in box B?

2/3

Q3.Which of the following could be a value for C?

3/3

Lesson summary: Gabriel's problem

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Time to move!

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

For 5 mins...

Move around:
Walk

On the spot:
Dance

The next lesson in:
Famous maths problems
is:
The Happy Caterpillar Problem

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