Friday, 14 August 2015

MATHS WEEK 2015 - Final Day Problems

Here are your challenges for today:

Junior Problem:

Mr Cressey has lots of rubbish bins to clean. On Monday he cleans four bins. On Tuesday he cleans twelve bins. On Wednesday he cleans half the amount of bins that he did on Tuesday. On Thursday he had more to clean. By Friday morning he had cleaned 33 bins altogether. How many bins did he clean on Thursday?

Senior Problem:

Matua Dudley had a whole box of chocolate biscuits.  He was feeling very hungry, so he ate 2/8 of the biscuits.  That left only 27 chocolate biscuits. He then shared 3/9 of the remaining biscuits out to the staff. How many were left in the box?

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Students: Write your answer in the comment section with your name and class.
Teachers: If you have any photos of student thinking please email to Miss Breen 

That is all the problems for this week. Congratulations to all the students and classes who completed the challenges, you are awesome!

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Here is Room 6 once again showing their fantastic thinking on the senior problem:

Another great problem, Miss Breen!  We worked out that if Matua Dudley had eaten 2/8 of the biscuits, then 6/8 of the biscuits were left.  This totalled 27 biscuits.  We then divided 27 by six to tell us what 1/8 of all the biscuits was – this came to 4.5.  To find out the total number of biscuits, we did 4.5 x 8 (because 8/8 would equal the total amount of all the biscuits) = 36.

To find out how many were left, we divided 27 by nine in order to find 1/9.  This came to 3.  We knew that, since 3/9 had been shared, that 6/9 were left.  So we did 3 biscuits x 6 = 18, so 18 biscuits were left in the box.

We will miss these maths problems, they were really good for challenging our thinking!

Room 6.

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