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.

MATHS WEEK 2015 - Day 4 Problems

Here are your challenges for today:

Junior Problem:

When Miss Breen teaches in Room 14 she promises to give stickers to the students who finish their homework. 14 students hand their homework into Miss Breen. She gives their teacher Whaea Donna 28 stickers to hand out fairly between the 14 students. How many stickers will each student get?

Senior Problem:

Whaea Oronsay is having trouble with the school bus on a trip to the snow. She notices that after the bus reaches a speed of 110km/hr, every hour after that the bus's speed automatically decreases by 10%. How many hours of driving would it take before the bus is only able to drive at a speed less than 30km/hr.

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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 

Come back tomorrow for new challenges!

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Here is Room 6's thinking:

Hi Miss Breen,

We thought today’s problem could be worked out a couple of ways.

Firstly, we knew that 10% of 110 was 11, so we kept subtracting 11 until we got below 30.  This means the bus would drop below 30kmh in the eighth hour.

The second way was a bit more complicated.  The first hour, the bus’ speed decreases by 11kmh (10% of 110kmh).  The bus is now going at 99kmh after one hour.  In the second hour, we figured out that 10% of 99kmh is 9.9kmh.  That means that the bus, after two hours, is now going 89.1kmh.  In the third hour, 10% of 89.1kmh is 8.91kmh, so we subtracted that…and so on.  The numbers got really hard to manage, so we ended up having to use a calculator!  J  Anyway, using this method, we worked out that the bus would drop below 30kmh in the 13^th hour.

MATHS WEEK 2015 - Day 3 Problems

Here are your challenges for Wednesday:

Junior Problem:

Sarah began earning pocket money by doing chores at home everyday. She was given $2 on her first day. Then she was given $3 every day after for a long time. How much money did she have after 2 weeks? If she spends half of that money on a toy how much will she have spent?

Senior Problem:

Mike aims to drink at least 3 litres of water a day to keep hydrated. On Monday he meets his goal, on Tuesday he drinks only half of this goal. On Wednesday he drinks 50% more than he did on Tuesday. How many litres of water did he drink on Wednesday?

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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 

Come back tomorrow for new challenges!
------------------------------------------------------ Here is some feedback and photos of Room 6 completing the senior question today:

Room 6 found the Senior problem very challenging – mainly due to the fact that a lot of us didn’t take the time to understand exactly what the question was asking us!

We figured out that half of 3 was 1.5, but a lot of us then doubled 1.5, because we thought 50% more meant two times as much!  One group decided that 50% of 1.5 was 0.75, so they added that to 1.5 to make 2.25, and we now think that is the correct answer.

Great problem, Miss Breen!

MATHS WEEK 2015 - Day 2 Problms

Here are your challenges for Tuesday:

Junior Problem

Miss Breen has baked chocolate chip cookies for her family.  Her son sneakily eats 5 of them when she isn't looking. Her son has eaten one quarter (1/4) of the cookies. How many cookies does Miss Breen have left for the rest of the family?

Senior Problem

Emma is making 2 pizzas. She cuts each of her pizzas into sixths.  She has 36 pieces of pineapple to spread evenly on her 2 pizzas.  How many pieces of pineapple will be on seven/sixths (7/6) of the pizzas?

Students: Write your answer in the comments area with your name/class

Teachers: please send photos of student thinking to Miss Breen :-)

Good Luck!

Come back tomorrow for new challenges!

Here is a photo of student thinking (senior problem) in Room 7 today:

Here are some photos of Room 18 working hard on the junior problem today:

MATHS WEEK 2015 - Day 1 Problems

Maths Problems for 2015 Maths Week

JUNIOR PROBLEM - Monday

A group of bees are out collecting nectar to make honey. 6 of the bees are on flowers and the other half return to the hive. How many bees return to the hive?

Write your answer with your name/class in the comments area :-)

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SENIOR PROBLEM - Monday

Our school has a practice fire drill, the bell continually rings. 25 students are still in class, the other seven eighths (7/8) of the school's students are already lined up on the courts. How many students are on the courts?

Write your answer with your name/class in the comments area :-)

GOOD LUCK!

COME BACK TOMORROW FOR NEW CHALLENGES!