### Special Numbers

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?

### First Forward Into Logo 6: Variables and Procedures

Learn to write procedures and build them into Logo programs. Learn to use variables.

# Weighing Scales

##### Stage: 3 and 4 Short Challenge Level:

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.
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