Draw a square then draw a square on each of its sides. Which 5 different numbers from 0 to 9 can be put in the squares so that the 4 outside numbers add up to the middle number?
0,1,2,3 & 6 in the middle = 0+1+2+3 = 6
0,2,3,4 & 9 in the middle = 0+2+3+4 = 9
0,1,3,4 & 8 in the middle = 0+1+3+4 = 8
0,2,1,4 & 7 in the middle = 0+2+1+4 = 7.
Put numbers 7, 8 and 9 at the corners of a triangle. Now place 1, 2, 3, 4, 5, 6 in twos on each side to make the same total on all three sides (include the numbers at the corners)?
Draw a clock face with the numbers 1 to 12 in their usual positions. Can you draw a line so that the numbers on one side of it add up to five times the numbers on the other side?
There is a 5×5 grid in front of you. You have to fill 25 squares with only 0 and 1. But, every neighboring square's number's product has to be 0. How many possible grids there are?
x y z
+ x y z
+ x y z
y y y
Using all the numbers from 1 to 10, put them into pairs, so that one pair adds to 6, another pair to 7, a third pair to 9, a fourth pair to 16 and the final pair add to 17.