### 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.

# Light the Lights

##### Stage: 1 Challenge Level:

Thomas of QEGS Wakefield identified the rules:

To light the YELLOW light the rule is: < $30$
To light the RED light the rule is: Have an odd tens digit
To light the BLUE light the rule is: Multiple of $5$
To light the GREEN light the rule is: Is odd

Ahmad reasoned well to explain the minimum number which lit up all the lights:

The answer is $15$.
Its tens digit is the smallest, from the allowed, which is $10$. Its unit digit is $5$ ; it is not zero because then it would be even and wouldn't light the green. It is also less than $30$.

Are you both sure that the yellow light only lights up for numbers under $30$?