Proof: Diving in at the Deep End
Take Three Numbers
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
Make 37
Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?
Reach 100
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
Sealed Solution
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Six Ten Total
This challenge combines addition, multiplication, perseverance and even proof.
Six Numbered Cubes
This task combines spatial awareness with addition and multiplication.
The Dice Train
This dice train has been made using specific rules. How many different trains can you make?
Square Subtraction
Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?
Factor Lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Three Neighbours
Take three consecutive numbers and add them together. What do you notice?