Exponents And Powers Worksheets - Class 8, National Council Of Educational Research And Training Page 32

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M A T H E M A T I C S
Now, answer the following:
(a) Can you predict the number of ballot papers after n number of
cuts?
(b) Suppose you could make 40 cuts. How many ballot papers would
you have?
(c) How many cuts would it take to make enough ballot papers for
512 students at school?
2
(d) Suppose you start with a sheet of paper having area 324 cm
.
Copy and complete the table to show the area of each ballot
paper after each of the first 10 cuts.
Number of Cuts
Area (cm
2
)
0
324
1
162
2
81
3
4
5
6
7
8
9
10
Observe the table and write an expression which gives the area
of ballot papers after n number of cuts on sheet of given area A.
2
(e) If you want 512 ballot papers each having area 16 cm
, then
what will be the area of starting paper?
Activity 2
1. To meke ballot papers cut a sheet of paper into three. Stack the
three pieces and cut the stack into three. Stack all the pieces and
cut the stack into three again.
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E E E E E
P P P P P
XEMPLAR
XEMPLAR
XEMPLAR
XEMPLAR
XEMPLAR
ROBLEMS
ROBLEMS
ROBLEMS
ROBLEMS
ROBLEMS

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