Maths Challenge - Fraction Matching

Today is problem solving day!  Check out this  FDP matching game on nRich. 

https://nrich.maths.org/1249 

Click on the links below if you would like to try some alternative versions of the Level 1 game:

• Play with face-up cards - the cards are all face-up at the start so you can focus on the maths rather than the memory aspect of the game. How quickly can you match them all?
• Play with a scoring system - you start with 100 points, lose 10 points whenever you turn over cards that don't match, and add 50 points whenever they do match.

Once you've mastered Level 1, there are four more levels to try, getting progressively more difficult:

• Level 2    Face-up    Face-down
• Level 3    Face-up    Face-down
• Level 4    Face-up    Face-down
• Level 5    Face-up    Face-down

To download a printable version of this game, use the links below. There are three sets - set A is the easiest and set C is the most difficult.
If you print double sided, then the cards will have an NRICH logo on the back. Otherwise, you can just print the first page.

Set A, Set B, Set C
 

What strategies did you use to work out that two cards matched?
Which pairs did you find easy to match? 
Which pairs did you find more difficult to match?

We would love to hear about the strategies you used as you played the game.

Solutions are on the nRich website. 

Maths Challenge - Fractions in a Box

Visit nRich to see the problem https://nrich.maths.org/1103

We have a game which has a number of discs in seven different colours. These are kept in a flat square box with a square hole for each disc. There are 10 holes in each row and 10 in each column. So, there would be 100 discs altogether, except that there is a square booklet which is kept in a corner of the box in place of some of the holes.

We haven't drawn a grid to show all the holes because that would give the answer away!

There is a different number of discs of each of the seven colours.

Half (12 ) of the discs are red, 14 are black and 112 are blue.

One complete row (of 10 holes) of the box is filled with all the blue and green discs.

One of the shortened rows (that is where the booklet is) is exactly filled with all the orange discs.

Two of the shortened rows are filled with some of the red discs and the rest of the red discs exactly fill a number of complete rows (of 10) in the box.

There is just one white disc and all the rest are yellow.

How many discs are there altogether?
What fraction of them are orange?
What fraction are green? Yellow? White?

CLUE - to get your started......Remember the booklet in the corner of the box is square, so how many holes could it take up?
The whole box, without the space for the booklet, would fit 100 discs, so the number of discs must be 100, less the square number taken up by the booklet. What do you know about the factors of the total number of discs?

Today you will need page 10 of the booklet

Activity 5 - Quotation practice 
I’m going to show you how to include a quotation from an expert, witness or previous owner. Look at the example from our model:
"Listen to what James Bond who is known by his code number 007 has to say about this must have phone I thought I had every
 gadget I required until Q invented the Multi function Mobile Phone. Now I wouldn’t possibly attempt a mission without it."
1)
Choose the person you want to quote 
2)
Tell the reader more about them 
3)
Get your speech punctuation right.
4)
Introduce your speech with a colon.
Have a go at writing at least 3 quotations following or imitating the pattern of the model.

Animal symmetry pictures. Can you finish the other half of the animal drawing, focusing on the symmetry and accuracy? You can choose to sketch it or try colour too. 

Here are some examples...