Extension


Have you just finished the Linear Equations Poster?
Have a go at this challenging problem





If you're looking to be extended in Maths, or just LOVE doing Maths, try some of these options below:

Monday 
This is a medium Suduko – can you Suduko?  Rules are easily found on the internet if you don't know how to play.
Tuesday 
Jill has a pack of cards.  If she deals it equally between 4 people, she has 2 left.  If she deals it equally between 7 people, she has 4 left.  If she deals it equally between 3 people she has 1 left. If a pack contains 52 cards normally, what is the highest and lowest possible number she might have?
Wednesday 
Find this 8 digit number.

The first 4 digits subtract the last 4 digits = 2222.    The number subtracted from the number you get when you reverse the order of the digits (ie. 3412 becomes 2143) = 33108867.

Only the digits 1, 2, 3 & 4 are used. 
Thursday
Every day at noon a ship Somalia for Sri Lanka, and another ship leaves Sri Lanka for Somalia.  The trip lasts 7 days and 7 nights.  Assuming the ships always follow the same route (and don’t crash into each other), how many Sri Lanka-Somalia ships will the ship leaving Somalia today meet along its journey to Sri Lanka? 
Friday 
In a rectangular room, how do you arrange ten chairs along the walls so that there are an equal number of chairs along each wall?

Monday 

I think of a number, multiply it by 15 and then subtract 20 to get a result of 40. What was the number I was thinking of?

Create your own and leave it in the comments below with the title: Monday
Write an explanation that would help someone else understand how to solve such a problem.

Tuesday 

Using the circle image below... (sorry but you might want to copy it out...)


Draw three straight lines to divide this circle into four parts.  The total of each part must add to 53.4.

*HINT* The lines don’t all have to start or finish on the circle circumference and the parts do not have to be equal in size.

Wednesday 

Using the square image below.

Using just the five numbers above (8, 0, 4, 6, & 2) make a magic square so that every column, row and long diagonal adds up to 20. 

Thursday

A ball is dropped from a height of 6m.  Each time it bounces up half of its original height and then falls to the ground.  It repeats this, always bouncing back half the height of the previous bounce.  How far does it travel before it stops bouncing?

Friday

The MCG is a notoriously large cricket ground.  Because of its size some folks have decided to have a charity sleep out for Australia’s Grade 7 students, but they’re not sure how many will fit.

How many Grade 7’s could sleep on the MCG oval? Think of 2 options
1) The absolute crazy maximum (with no space to walk)
2) A more realistic option (with pathways to walk).

Record the steps you went through to solve this problem.


Monday 
Have a go at the Light the Lights problem (link below)

Show your recording and justify your answer
http://nrich.maths.org/7035

Tuesday 

Painted block problem: Learn about Triangle Numbers 

http://nrich.maths.org/140

Wednesday 

Hole Punched Numbers: Get crafty with numbers 
http://nrich.maths.org/1798


Thursday

Islamic Geometry: Have a go creating amazing intricate patterns using the power of GEOMETRY (you'll need a compass and ruler)
https://www.youtube.com/watch?v=h3KdR8n10gg&t=371s


Friday
Last Biscuit: A strategy game: Can you take the last biscuit?
http://wild.maths.org/last-biscuit

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