# Exploring properties of number

## Lesson details

### Key learning points

1. In this lesson, we will explore multiples of 9. We will also look at divisibility checks for numbers that may be multiples of 9.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
Which of the following numbers is not a multiple of 11?
11
110
44
Q2.
Which of the following statements is not correct?
Correct answer: All palindromic numbers are multiples of 11
Some palindromic numbers are even
Some palindromic numbers are multiples of 11
Some palindromic numbers are odd
Q3.
Which of the following conjectures is true?
All palindromic numbers are divisible by 11
All palindromic numbers larger than 1000 are divisible by 11.
Correct answer: Palindromic numbers with an even number of digits are divisible by 11
Palindromic numbers with an odd number of digits are divisible by 11.
Q4.
Which of the 3 digit palindromic numbers below is divisible by 11?
132
454
666
Q5.
Which of the numbers below are divisible by 11
22422
4
545

## Exit quiz

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### 5 Questions

Q1.
Which of the following numbers is not a multiple of 9?
108
18
27
Q2.
Which of the following numbers is a multiple of 9
3421
8768
8923
Q3.
Which of the numbers below, when subtracted from 45217 has a difference which is a multiple of 9?
45218
71257
71799
Q4.
Which of the statements below is correct?
All multiples of 9 are even.
All multiples of 9 are odd.
All multiples of 9 are prime numbers.
Correct answer: All numbers of 9 have a digit sum of 9.
Q5.
Which of the numbers below is a multiple of 9?
1,632,542