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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?
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Think of a number and 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.
Age 11 to 14
Challenge Level
Shape Products printable worksheet
Shape Products printable worksheet - extra clues
The coloured shapes stand for eleven of the numbers from $0$ to $12$. Each shape is a different number.
Can you work out what they are from the multiplications below?
A |
B |
C |
D |
E |
F |
G |
H |
If you need some more clues, click below to reveal four more multiplications:
I |
J |
K |
L |
Extension
Once you have worked out the value of each shape above, take a look at the two multiplications below:
Can you work out the value of the shapes in each product?
This activity originally featured in the hands-on Brain Buster Maths Boxes, developed by members of the NRICH Team and produced by BEAM. These resources are out of print but can still be found on Amazon.
NRICH is part of the family of activities in the Millennium Mathematics Project.