Problem of the Week

Congratulations to Charlie B (0C), Connor B (3A) and Isla S (2C) who were our winners last week and earned the title, 'Problem Solvers of the Week'. Thank you to all of those that entered - it could be you next time.

Door Problem

This is my absolute favourite problem - so apologies if you have seen it before. You are going to need lots of resilience and persistence for this one:)

There are eight doors in a row. Behind each door is a number. 

• Each number is less than 20
• No two numbers are the same, and the number on the doors are in order.
• Three of the numbers are prime numbers
• Two of the numbers are square numbers
• Two of the numbers are multiples of 5
• Five of the numbers are even
• Three is a factor of two of the numbers
• There is a pair of consecutive numbers, and four consecutive number on the doors.
• The numbers sum to 93.
• What are the numbers behind the doors?

Because this is such a tricky one, here is an enabling prompt if you need a bit of help:

Square number video:  https://www.youtube.com/watch?v=PDyyvPdi1tI

Prime and composite numbers video:  https://www.youtube.com/watch?v=XGbOiYhHY2c

Factors and multi0ples video:  https://www.youtube.com/watch?v=1oQTriXR_Iw

Consecutive numbers definition:  https://www.mathsisfun.com/definitions/consecutive-numbers