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AMC 8
2(1−12)+3(1−13)+4(1−14)+⋯+10(1−110)=2(1-\frac{1}{2}) + 3(1-\frac{1}{3}) +
4(1-\frac{1}{4}) + \cdots + 10(1-\frac{1}{10}) =2(1−21 )+3(1−31 )+4(1−41
)+⋯+10(1−101 )=
45
54
50
55
49
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Tips
AMC 8
Three different one-digit positive integers are placed in the bottom row of
cells. Numbers in adjacent cells are added and the sum is placed in the cell
above them. In the second row, continue the same process to obtain a number in
the top cell. What is the difference between the largest and smallest numbers
possible in the top cell?
16
25
26
35
24
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Tips
AMC 8
Circle X has a radius of π\piπ. Circle Y has a circumference of 8π8\pi8π. Circle
Z has an area of 9π9\pi9π. List the circles in order from smallest to largest
radius.
X, Z, Y
Y, X, Z
Z, Y, X
X, Y, Z
Z, X, Y
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Tips