Volume 8 Math Stars Worksheet Page 2
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357. In the figure below each small square
MathStars Home Hints
has an area of one square centimeter. The shape
Every year you grow and change in many
can wrap, with no overlap, a rectangular solid.
different ways. Get someone to help you
measure and record these data about your-
self. Be sure to save the information because
we will measure again in two months!
How tall are you? _____________________
How much do you weigh? ______________
What is the circumference of your head?
_______________________
6. The numbers on the "clock" below
make up a clock number system. This is called the
modulo-8 or mod 8 system. If you start at 8 and
move clockwise, then 10 is really 2 in the mod 8
a) Find the volume of the rectangular solid
system. 15 = 7 (mod 8)
that can be wrapped. __________
1
b) Find the surface area of the solid
8
2
that can be wrapped. __________
7
3
4
6
5
a) Find the mod 8 equivalent of the following numbers:
27 = _____ (mod 8)
144 = _____ (mod 8)
-18 = _____ (mod 8)
Setting Personal Goals
b) Two numbers that have the same modulo
Problem solving is what you do when you don't
equivalence are called congruent. Explain why 14
know what to do. Being a good problem solver will
is congruent to 30 (mod 8).
help you be ready to live and work in our changing
world. Computers can do computations but people
c) Draw a clock for a modulo-12 system and solve
must tell the computers what to do. Good problem
the following:
solvers know how to make plans and use many
56 = _____ (mod 12)
different strategies in carrying out their plans. They
16 = _____ (mod 12)
use all of their past experiences to help them in new
-34 = _____ (mod 12)
situations. We learn to swim by getting in the water;
we learn to be good problem solvers by solving
problems!
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