My two digit number is special because adding the sum of its digits
to the product of its digits gives me my original number. What
could my number be?
Think of a number... follow the machine's instructions. I know what
your number is! Can you explain how I know?
Learn to write procedures and build them into Logo programs. Learn to use variables.
A child's box of bricks contains cubes, cones and spheres. Two cones and a sphere on one side of a pair of scales will just balance a cube on the other side;
and a sphere and a cube together will just balance three cones.
How many spheres will just balance a single cone?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.