**"Factors"**

## Years 10 – 12 Quadratic Matching 1

*By toni On 20 June, 2020 · Leave a Comment*

Graphs and equations of 7 quadratic functions are given here.

Match them and put them into 7 sets. Write down the coordinates of the intercepts with the axes.

Make a poster showing the graph of each function with the matching equations.

In all these examples the coefficient of […]

## Years 5 – 9 Path to the Stars

*By toni On 15 May, 2020 · Leave a Comment*

Is it possible to draw a 5-pointed star without taking your pencil off the paper?

When you turn this star around it looks exactly the same in 5 different positions so we say it has ROTATIONAL SYMMETRY of order 5.

Is it possible to draw a 6-pointed star in the same way […]

## Years 6 – 12 Factors and Multiples Game

*By toni On 4 April, 2020 · Leave a Comment*

This is a game for one or two players.

The first player chooses a positive even number that is less than 50, and crosses it out on the 100 square grid.

The second player chooses a number to cross out. The number must be a factor or multiple of the previous number.

Players […]

## 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? […]

## 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 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 […]

## Grades 5 to 7 Nearly a million

*By toni On 4 August, 2017 · Leave a Comment*

Easy starter: Write down 2 numbers that add up to a million, one smaller than 450 000 and one bigger than 450 000.

If you shared a prize of one million dollars between 7 people how many dollars would each get?

What is the easiest way to work out which of the […]

## Years 7-10 Powerful Thinking 1

*By toni On 17 September, 2016 · Leave a Comment*

What pattern can you see in the last digits of the powers of 2?

What about the last digits of the powers of 3?

What patterns can you see in the last digits for the numbers in the picture?

Can you explain why all these numbers are multiples of 5?

What about […]

## Years 8 -10 Powerful Thinking 2

*By toni On 16 September, 2016 · Leave a Comment*

Investigate the last digits of the numbers in the picture when n = 1, 2, 3 , 4 and 5. What do you notice? Does this pattern continue? Why?

Will the first number be a power of 10 for any value of n?

What can you say about the values of n […]

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