**"Multiples"**

## Years 4 to 12 Table of Tables

*By toni On 3 July, 2019 · Leave a Comment*

What patterns do you notice in this table?

Continue the patterns to fill the empty squares.

Write a list describing all the patterns that you see.

What do you notice about the numbers on squares of the same colour?

Would the patterns […]

Can you find the chosen number from this square using the clues below?

1. The number is odd.

2. It is a multiple of three.

3. It is smaller than 7 x 4.

4. It has an even tens digit.

5. It is the greater of the two possibilities.

[…]

## Years 7 to 10 Who am I?

*By toni On 20 January, 2018 · Leave a Comment*

How quickly can you find me?

I am a whole number less than 1000.

The product of my digits is 225.

I am not a multiple of 5.

Am I a multiple of 13?

Am I real? Am I rational? Am I irrational?

Now divide me by 11. Is the answer real? […]

## PRIMARY N1 NUMBER GAMES AND PRIME NUMBERS

*By toni On 5 January, 2018 · Leave a Comment*

These counting games lead to an understanding of multiples and common multiples, number patterns and the Seive of Eratosthenes to find prime numbers.

Click here to download a pdf with all you need to run your own professional development workshop.

## Years 4 – 7 Magic of 37

*By toni On 21 November, 2017 · Leave a Comment*

First complete the number sentences by putting = + – x or ÷ in the boxes. Then explain why the pattern occurs.

Explore the pattern you get when you carry on these multiplications up to 37 × 54.

Click here for Magic of 37 worksheet.

Click here for the Notes […]

## Years 6 to 8 Same Volume

*By toni On 29 October, 2017 · Leave a Comment*

What is the volume of this cuboid?

How many other cuboids with whole number dimensions have the same volume?

Do any of them have the same surface area?

Which has the biggest surface area? Which has the smallest?

How many have a square cross section?

Click here for Notes for Teachers.

[…]

## Years 5 – 8 Wholesome Rectangles

*By toni On 15 October, 2017 · Leave a Comment*

This activity is about rectangles with whole number dimensions. With other lengths and breadths there are infinitely many possible rectangles so here we just stick to whole numbers.

How many rectangles can you make with perimeter 12 units?

What do you know about rectangles? What is the smallest rectangle that you can […]

## Years 6 – 9 TIMES NINE

*By toni On 13 October, 2017 · Leave a Comment*

Complete the calculations in the picture.

What do you notice?

To explain how the patterns of numbers arise:

Either multiply by (10 – 1) instead of multiplying by 9

or use the table below, first completing the calculations on each line.

## Years 6 – 9 Prime Sieve

*By toni On 5 October, 2017 · Leave a Comment*

You might like to start by investigating the patterns you get when you shade multiples of a number on a grid. Download here

For another investigation use a 100 square grid (download here):

Circle the number 2. Put a line through every multiple of 2 up to 100.

Circle the […]

## Years 5 – 8 Multiple Patterns

*By toni On 5 October, 2017 · Leave a Comment*

Describe and explain this pattern.

What do you think the patterns for other multiples look like, for example multiples of 2 or 3 or 4 or 5?

Download this sheet and shade in the patterns of the multiples.

Why do you think that in each pattern […]

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