Solutions to Maths Challenges Week 3

First Challenge

This proved an interesting challenge for those who took it up. Rory, in Year 1, a frequent contributor and keen mathematician, used Cheerios to represent the eggs in the nest. His mum says,

‘First of all Rory wrote down all of the odd numbers between 1 and 19 on a piece of paper to remind himself of these. He then started with the largest odd number counting out the number of Cheerios to represent this number. He then split the remaining pile of Cheerios into two groups of odd numbers in as many combinations as he could. He then continued reducing the larger number each time he had found as many combinations as he could in the remaining pile. Unfortunately we didn’t get to the stage where we could check that we’d got the maximum number of combinations possible as he started eating the Cheerios!’

Excellent Rory – what a great strategy. You approached this systematically. Here’s a snapshot of his ‘nests’ of eggs.

UPDATE: Frederique also used CHEERIOS!!!!! Here’s the maths which involved the skill of regrouping.

Fellow classmate, Aalim, used stones and set them out in the garden into groups to represent nests. What a great idea. Here is a glimpse of his thinking.

Max B, Year 4, took this one on too. He made a systematic list of possible combinations of eggs in the nest and later over a family dinner realised he had missed some! So Max went back and completed the final combinations. Look at his organisation of odd numbers. I think his method ensured he got them all! What tenacity – well done Max.

Junior Challenge

Teddy in Year 2 took this one on. Thank you Teddy. Here is his solution. Excellent work.

 

Senior Challenge

Max B, Year 4, and Mikayla, Year 6, tried this one out. Well done to you both. You recognised that sadly Ben could not play tennis. The pairs are:

Boys-Ali and Luke.

Girls – Zoe and Laura.

Alex, Year 5 and Jacob, Year 5 also got the right answer!

Maths Challenge – Week 3

Welcome to this week’s maths challenges.

Remember to send solutions to jgillhouley@stjohnssevenoaks.co.uk by 3pm next Wednesday. 
Simply write the type of maths challenge e.g. First Maths challenge, Junior Maths Challenge or Senior Maths challenge in the subject bar.  
Tell me your class and if you are happy for your work to be published on the blog. 
I look forward to seeing your ideas and solutions.
If you can attach your work, that would really help!

First Challenge

I have been inspired to set this week’s challenge by hearing all the chirping birds in my garden and knowing that they will lay their eggs in April and May – about now!

Download (DOCX, 77KB)

Junior Challenge

This will take a bit of thinking but have a go!

Download (DOCX, 39KB)

Senior Challenge

The weather is getting warmer so is it time to play tennis? These children would like to play BUT they can’t seem to stop arguing!

Download (DOCX, 74KB)

Just for Fun!

These are from the newspaper – children’s pages. They are just for fun! Have a go – no need to send solutions, just play with your family or on your own! They are ranked from easiest to hardest -, but that’s only my ranking! I do these and the adult ones at the weekend with a pot of tea in the garden (when the weather is good).

 

 

Maths Challenge Solutions – Week 2

Thank you to the children who sent me a solution to this week’s maths challenge.

First Challenge

It was an absolute delight to look in my inbox and see some solutions to this challenge. It takes hard work, persistence and resilience to solve this week’s problem. It is a problem which asked the children to use the ‘Trial and Improvement’ method to solve it.

As you can see, using coloured shapes can really work well. So can a lovely chat with your granddad. Can you see the laptop in the corner of the photo? On there is granddad doing the puzzle too alongside our fabulous Year 1. Together they solved it! What team work!

Like our mathematical puzzler, I always find it helpful to have my sword close at hand when tackling these kind of demanding problems!

Teddy and Zach used a whiteboard, so they could rub out any answers and change them if they needed to. Well done boys! This is a great way to solve this puzzle. Teddy tells us to take it ‘step by step.’ Great idea Teddy, as you can then break the problem down and keep checking as you go!

Zach says, use ‘whatever you know first’. So you do not have to use the clues in the order they are given! Excellent.

Annabelle in Year 2 used coloured pencils and the ‘trial and improvement’ method too. Like everyone else she needed to keep amending her ideas as she read more of the clues.

Rory in Year 1 also coloured in his solution. As you can see, like Teddy and Annabelle, he ticked off the clues once he had checked that they matched the solution. Great work!

Well done to you all. Keep puzzling! Watch out for tomorrow’s new challenge.

Junior Challenge

No entries this week. A little disappointing. Perhaps it was the puzzle… I will try a different one to inspire you all.

Senior Challenge

No entries this week. A little disappointing. Perhaps it was the puzzle… I will try a different one to inspire you all.

 

 

 

Maths Challenges Week 2

Welcome to Week 2 of our Maths challenges.

Remember to send solutions to jgillhouley@stjohnssevenoaks.co.uk by 3pm Wednesday 22nd April. 
Simply write the type of maths challenge e.g. First Maths challenge, Junior Maths Challenge or Senior Maths challenge in the subject bar.
I look forward to seeing your ideas and solutions.  If you can attach your work, that would really help!

First Maths Challenge

Download (DOCX, 47KB)

Junior Maths Challenge

Download (DOCX, 331KB)

Senior Challenge

I have decided to use Iris’ question (Class R) from last week to challenge the Seniors. She tried the Coloured Towers problem and asked

‘I JUST WONDERED… IF IT WAS 10 BLOCKS HOW MANY COLOURED TOWERS I WOULD HAVE BEEN DRAWN. IS THERE ANY EASIER WAY TO WORK THIS OUT? ‘

To help you with this I suggest you work out how many combinations for 2 coloured blocks, you have Iris and Rory’s solutions for 3 and 4 coloured blocks. If you then work out 4 and 5 coloured blocks can you begin to see a pattern?

To really see the pattern, you need to be systematic in how you arrange the blocks. What do you notice?

What a great challenge Iris, let’s hope some of those older children will work it out and get back to you!

Original Problem

Download (DOCX, 162KB)

Solutions to Maths Challenges – Week 1

Thank you to all of those children who have had a go at the maths challenges. Here are the solutions. On Friday I will set Week 2 Challenges.

First Challenge – Coloured Towers

See Iris and Rory’s solutions last week. Well done to you both.

Junior Challenge – School Fair Necklace

We had two entries for this. Aalim in Class 1 and Reece in Year 3 tried this puzzle.

What clever ways to explore and record the problem boys. Here’s a glimpse of their work.

Aalim used coloured blocks and was even able to match the block colours to his T-shirt!

Well done.

Reece used circular stickers and tells me that there are 7 possible designs for the necklace.

Well done to you both.

Senior Challenge – Blue Cubed

Mikayla tells me,

1.   8 cubes have 3 blue faces
2.   24 cubes have 2 blue faces
3.   24 cubes have 1 blue face
4.   4 cubes haven’t been painted at all.
Bailey from Year 6 also agrees with Mikayla, so does Jacob and Alexander in Year 5.
Well done, you have all got this right!

Solutions to Maths Challenges – Week 1

Hello Mathematicians!

Thank you to those children who sent in a solution to one of the problems that appeared in Week 1 of the maths challenges.

I have two solutions for the First Challenge, Coloured Towers, set for our youngest maths enthusiasts.

Coloured Towers – Solution

Rory from Class 1 tells me that with,

‘3 coloured blocks – 6 different towers

4 coloured blocks – 24 different towers’

Iris from Reception Class went further and sent her workings to me to share. She said,

‘I’ve done your Maths Challenge called Coloured Towers. I really like colouring different combinations in my home learning book and I was impressed about how beautiful it looks.’

Yes, Iris, maths can be very beautiful, I agree. And here she is…

Her full solution is below along with a challenge from Iris. Well done Iris and Rory!

In fact Iris has set the next challenge for the Juniors and Seniors. She asks,

‘I just wondered… if it was 10 blocks how many coloured towers I would have drawn. Is there any easier way to work this out? ‘

To help you with this I suggest you work out how many combinations for 2 coloured blocks, you have Iris and Rory’s solutions for 3 and 4 coloured blocks. If you then work out 4 and 5 coloured blocks can you begin to see a pattern?

To really see the pattern, you need to be systematic in how you arrange the blocks. What do you notice?

What a great challenge Iris, let’s hope some of those older children will work it out and get back to you!

School Fair Necklaces – Solution

There were no solutions sent to me for this one. So I will keep it open. Come on, Year 3, I know some of you personally and was hoping you would be desperate to send in a solution! Year 4, get your thinking caps on!

Blue Cubed – Solution

Mikayla from Year 6 answered this correctly. Well done Mikalya. When I have at least one more solution submitted I will release your correct answer!

Come on Year 5 and 6.

 

 

Calling all Maths Challengers!

Good luck everyone!

Solutions to jgillhouley@stjohnssevenoaks.co.uk. In the subject box write Maths Challenge Solution. 
Tell me your name, your class and which problem you are solving.

‘First’ Challenge (our youngest mathematicians)

Download (DOCX, 162KB)

Junior Challenge (our developing mathematicians, possibly year 3 and 4)

Download (DOCX, 205KB)

Senior Challenge (our advanced mathematicians, possibly Year 5 and 6)

Download (DOCX, 102KB)

Launching new My Maths blog!

Good Morning and welcome to my weekly maths blog! 

Tomorrow is a very special day as I launch the St. John’s Maths Challenges for you all to try. They are entirely optional so feel free to try one. Maths is a beautiful subject and lots of fun. If you would like to send me a solution, I would be delighted to hear from you. I will publish a range of solutions on the blog so if you can make them as clear and comprehensive as you can, then that would be perfect.

I have First Challenges for our younger mathematicians (Year R-2), Junior Challenges for our developing mathematicians (Yr 3 and 4) and Senior Challenges for our most advanced and ambitious mathematicians (Yr 5 and 6) but feel free to try ANY of them.

Each Friday morning, the challenges for the week will appear. YOU then set to work exploring and solving them. If you would like to submit a solution then make sure I have it by the following Wednesday so I can sift through them and get back to you by Thursday. I will always put the solutions up to that week’s challenges before I set the next round of challenges.

 

Children of St. John’s, are you worried that you may not get it right? Then watch this!

Mistakes are Powerful

Don’t be afraid to struggle. For parents and carers, you might like to see what Jo Boaler says about the need to struggle.

Excerpt of Jo from “The Importance of Struggle”

 

 

 

 

 

Sumdog competition – Get playing!

Welcome Maths Enthusiasts. I have entered the whole school into a Sumdog competition against other schools.

All you need to do is log onto Sumdog with your usual username and password then enter the school code sjs3 to help us gain as many points as possible. The competition started today and ends next Friday 14th February at 8am.

How do you earn St John’s some points? Simply play! The more you play the more we earn.

 

Good Luck children!

 

Mrs Gillhouley

Well done mathemagicians!

A team of four Year 6 pupils travelled to Orpington, kindly accompanied by two of our parent volunteers, to enter a National Maths competition. They found out last week that they have succeeded in getting through to the National Final on Wednesday 5th December.

 

Well done team and good luck!