Number Round Up

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

Grouping Goodies

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

What Number?

I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.

How Odd

Stage: 1 Challenge Level:

How many odd numbers are there between $3$ and $11$?

How many odd numbers are there between $4$ and $11$?

What do you notice?  Can you explain your observation?

Can you find any other pairs of numbers which have this same number of odds between them?

Can you find a pair of numbers which have four odd numbers between them?

Can you find another pair of numbers which have four odds between them?  And another pair?

How would you find a pair of numbers that have five odds between them?  Six odds?

How would you explain to someone else how to find  a pair of numbers that have a certain number of odds between them?