# Exploring properties of number

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## Lesson details

### Key learning points

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

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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.

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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?

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.

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

### 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.

Q5.

Which of the numbers below is a multiple of 9?

1,632,542

4,555,444

9,028,714