1

2

3

4

5

• Arrange the numbers 1 to 5 in the squares so that the total of the row is the same as the total of the column
• How many different ways are there of doing this?
• What do you notice about the different ways of solving this problem?

## A Mathematics Lesson Starter Of The Day

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Topics: Starter | Arithmetic | Investigations | Puzzles

• Mairi Salters, Burwell VC Primary School
•
• I copy the pages onto a flipchart on the electronic whiteboard. That way the class can take their time at it, as we use it as a half-hour settling in activity rather than a starter to the numeracy lesson proper. I use it with a Year 4 clsas, so a lot of the starters are too advanced for them. However, they have got on well with the ones we have used. Would be delighted to see similar written specically for KS2!
• J.Hesmer, Filsham Valley
•
• I found this an awful starter, it was incredebly difficult for my YEAR 7 group!
• L Martin, Canterbury
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• I tried it with my Year 7s. They did it in 20 seconds flat. We extended it to algebra, to prove it.
• L. Northern, Hayle School
•
• We had a long discussion, we found out that:
1. The middle number has to be odd
2. If all the numbers are odd or all the numbers are even, it will always work
3. When you chose a middle number, you have to have the smallest and largest above it, and the middle numbers either side.
We thought it was a good problem.
Hayle School Year 7 maths class.
• Susan, Australia
•
• This lead beautifully into an activity about surface area - using the net.
• Nick, Holy Trinity, Weymouth
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• We found 24 combinations after doing some methodical thinking
Mrs Penn, Mr Corben and Year 5.
• Snowdon, Mrs Peters
•
• Our Year 4,5 and 6 class really enjoyed this activity to start the day. Everybody was able to attempt the task and lots of children were successful!!

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This starter has scored a mean of 5.0 out of 5 based on 1 votes.

Previous Day | This starter is for 3 June | Next Day

We found 24 different solutions. Are there any more?

 4 1 3 5 2

 4 5 3 1 2

 4 2 5 3 1

 4 3 5 2 1

 5 3 1 4 2

 5 4 1 3 2

 5 2 3 4 1

 5 4 3 2 1
 2 1 5 4 3

 2 4 5 1 3

 3 2 1 5 4

 3 5 1 2 4

 3 1 5 4 2

 3 4 5 1 2

 4 2 1 5 3

 4 5 1 2 3
 1 2 3 4 5

 1 4 3 2 5

 1 2 5 3 4

 1 3 5 2 4

 2 3 1 4 5

 2 4 1 3 5

 2 1 3 5 4

 2 5 3 1 4

Can you prove that the centre number has to be odd?

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