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## Grades 7 to 9 Divide Divide

*By toni On 9 November, 2016 · Leave a Comment*

Fractions, decimals and percentages are three different ways of writing the same number and it is important that we can convert one form into another.

Divide 2 by 11 to get the decimal fraction equivalent to the common fraction two elevenths . Carry on dividing until you see a patttern. Will this […]

## Grades 7 to 9 Steps

*By toni On 5 November, 2016 · Leave a Comment*

Continue these sequences for the next three terms and continue the sequences backwards to the previous 3 terms:

7, 10, 13, 16, 19, …

15, 18, 21, 24, 27, …

1, -2, -5, -8, -11, …

What do you notice?

The first two sequences come from a multiplication table shifted up. Which […]

## Grade 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 […]

## Grades 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 […]

## Grades 9 and 10 Powerful Thinking 3

*By toni On 15 September, 2016 · Leave a Comment*

1. Imagine the first number is written out in full. How many zeros would there be at the end? Why? Can you find the answer without doing the whole calculation?

2. Work out a few values of the second number with n = 1, 2, 3 and 4 . Can you show numbers […]

## Grades 10 to 12 Powerful Thinking 4

*By toni On 14 September, 2016 · Leave a Comment*

Is this number divisible by 5?

Hint: Just look at the last digits of powers. What values do they take?

Investigate other big powers?

Make up some similar numerical expressions involving powers that have interesting properties.

What about even bigger powers

?

Click here for Notes for Teachers.

This problem […]

## Grades 6 to 9 Patterns of Multiples – Seive the Primes

*By toni On 19 June, 2016 · 7 Comments*

Choose a colour. Put a line through 4,6,8,10 … on the 100 square grid. Carry on until you get to 100 crossing out the rest of the two times table. You do not cross through the first number in the table but it may already be crossed out.

Change colour. Put […]

## Grades 4 to 9 Calendar Patterns

*By toni On 2 July, 2015 · Leave a Comment*

On a calendar put a box around four numbers.

Add the numbers in opposite corners.

For example 8+16 and 9+15.

What do you notice about the answers?

Put a box around another set of four numbers and try this again.

What happens and why?

Try multiplying – perhaps you […]

## Grades 5 to 9 Path to the Stars

*By toni On 24 June, 2015 · 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 […]

## Grades 6 to 12 Sierpinski Number and Shape Patterns

*By toni On 1 June, 2014 · 2 Comments*

In March 2014 and February 2015 Bubblz the Mathematical Clown and the Pyraloons built Guinness World Record breaking Balloon Model Sierpinski Pyramids to raise funds for AIMSSEC. The photo shows the triumphant team in a shopping mall in Cambridge, UK and their 6.5 metre high pyramid.

The smallest pyramid is made from […]

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