AMC 8, 2024 Problem Marathon

[Praket Pandit]

Problem 1

The problem can also be expressed as 222222-(22222+2222+222+22+2)

if we do the expression in the brackets first the we get the units digit as 0 which we minus from 2 to get 2

Option)B

[Praket Pandit]

Problem 2

44/11=4400/1100

110/44=2750/1100

44/1100

(4400+2750+44)/1100

=7194/1100

=6.54

[Praket Pandit]

Problem 3

Area of smallest square=4X4=16

Area of  the square just bigger than the smallest square=7X7=49

Area of  the square just smaller than the largest square=9X9=81

Area of largest square=10X10=100

Area of the gray region=(100-81)+(49-16)

= 19+33

= 52

[Reyaansh Agrawal]

11. The base of the triangle is 11 - 3 = 8

The height is (y-7)

8 $\times$ (y-7) $\times$ $\frac{1}{2}$ = 4 $\times$ (y-7) = 12

y-7 = 3

y = 10

The answer is C) 10

[Reyaansh Agrawal]

12. Let us say there are x guppies in the 4th tank.

Therefore, there are x-3 guppies in the 3rd tank.

Therefore, there are x-5 guppies in the 2nd tank.

Therefore, there are x-6 guppies in the 1st tank.

Adding up, we get 4x - 14 = 90

x = $\frac{104}{4}$ = 26

E) 26

[Author]

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