
Pentagonal Rounding
Place digits around one or two pentagons that share a side so that each number rounds to a different integer.

Polygons of Many Multiples
This shares similarities with Triangular Threes but focuses on constructing multiples instead. I used squares as that worked well with my Year 4 class when I came up with the idea but you could easily start with hexagons if you…

Denominator Dilemma
With two number lines showing halves and quarters, children try and add and subtract fractions to reach as many values as possible across them both.

Addition Digit Swap
Start with a threedigit addition. What digits are produced in the answer? Swap one of the digits for a new one to create a new addition. How many swaps are necessary to create all ten digits in the sums?

Addition Wheels
Arrange the digits 09 in three rings going clockwise. Using different diameter lines that go through the different digits, how many of the five additions total over 1000?

Multiples Ping Pong
In a 3×3 grid, digits are added to make numbers horizontally and vertically. Each time a digit is added, it must create numbers that are either not a multiple of three or a multiple of three alternatively. The same digit…

TopThreeDigit Times Tables
Create sets of five times tables thoughtfully using links between each one. From each of these, total the highest three digits in the multipliers and product to create a score. What scores are possible?

Triangular Threes
Numbers are arranged in triangular grid starting with 1, 2 and 3. Each time a new triangle is made, its numbers must be used in a calculation to equal 3. Add numbers to the grid in ascending order.

Digital Shape Sequences – Multiplication
Use times tables within a repeating shape sequence. Each number is inside either a triangle, a square or a hexagon. In each polygon, the number must include a digit that is the same value as the number of sides in…

Consecutives with Common Multiples
Using 1 to 6 as digits exactly once, can we make multiples of 1, 2, 3 and 4. What if we were able to share common multiples across numbers? What would be the greatest number possible? What would be the…