Mock AMC 8 2
1
Find the value of
(A) 0
2
(C) 17
(D) 34
(E) 72
(B) 384
(C) 408
(D) 432
(E) 456
(B) 70
(C) 75
(D) 80
(E) 85
(B) 2016
(C) 2020
(D) 2024
(E) 2028
(B)
3
125
(C)
4
125
(D)
1
25
(E)
6
125
The average female height is 5 feet 3 inches. The average male height 5 feet
8 inches. To the nearest hundredths, find the ratio of the height between the
average male and average female.
(A) 0.91
8
(B) 9
Find the difference between 40% of 30% of 20% and 20% of 30% of 40%.
(A) 0
7
(E) 4
Which of the following numbers is divisible by 9?
(A) 2012
6
(D) 3
Dan maintained a constant speed when he drove 40 miles an hour for 75 minutes.
Then he increased his speed to 50 miles an hour and drove for 30 minutes. How
far in miles did he drive?
(A) 65
5
(C) 2
How many hours are in 16 days?
(A) 360
4
(B) 1
A rectangular garden has a length of 8 meters and a width of 9 meters. Find
the area of this garden in square meters.
(A) 8
3
2×3+4
2+3 .
(B) 0.92
(C) 0.93
(D) 1.07
(E) 1.08
Find the minimum possible number of degrees the figure below must be rotated
clockwise in order to coincide with itself.
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Mock AMC 8 2
(A) 45
9
1
19
(C) 4
(D) 5
(E) 6
(B)
1
10
(C)
9
19
(D)
1
2
(E)
10
19
(B) 3
(C) 5
(D) 6
(E) 11
(B) 75
(C) 100
(D) 125
(E) 150
How many subsets of the set A, B, C, D, E, G, H, I, J, K consist of 2 vowels
and 2 consonants?
(A) 45
14
(B) 3
A cone and sphere of equal volumes share a common diameter. If the length of
the height in the cone is 100, find the length of the diameter.
(A) 50
13
(E) 120
If a, b, c, d, and e are non-negative integers, how many different possible values
are there for N if N = (−1)a + (−1)b + (−1)c + (−1)d + (−1)e ?
(A) 2
12
(D) 90
A group of 20 students is being divided up into 2 groups of 10. Find the
probability that Olivia is in a group with Oliver.
(A)
11
(C) 75
In a drawer, there are 3 pairs of white socks and 3 pairs of black socks. How
many socks must I draw from the drawer in order to guarantee a matching pair?
(A) 2
10
(B) 60
(B) 50
(C) 63
(D) 72
(E) 84
The product of a cube’s surface area and volume is equal to 616 . Find the ratio
of the surface area of this cube to its volume.
(A)
1
63
(B)
1
62
(C)
1
6
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(D) 1
(E) 6
Mock AMC 8 2
15
Let P be the product of the first 100 prime numbers. Find the largest power
of 10 that divides P .
(A) 101
16
(E) 1016
(B) 20
(C) 36
(D) 160
(E) 162
(B) 1
(C) 8
(D) 27
(E) 64
A hexagon is inscribed in a unit square such that a pair of opposite vertices
in the hexagon are the midpoints of the square. Find the area of the hexagon
if the lengths of the sides that the hexagon shares in common with the square
measure 12 .
(A)
19
(D) 108
How many composite numbers less than 10000 have no prime factors less than
100?
(A) 0
18
(C) 104
Two similar triangles have a total area of 180. The length of the hypotenuse
in the larger triangle is three times the length of the hypotenuse in the smaller
triangle. Find the area of the smaller triangle.
(A) 18
17
(B) 102
2
5
(B)
1
2
(C)
3
7
(D)
2
3
(E)
3
4
The difference between Andy’s weight and Bernie’s weight is 10 pounds, the difference between Bernie’s weight and Cassie’s weight is 15 pounds, the difference
between Cassie’s weight and Danny’s weight is 18 pounds, and the difference
between Danny’s weight and Emily’s weight is 14 pounds. Find the minimum
possible value of the difference between Andy’s and Emily’s weight.
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Mock AMC 8 2
(A) 0
20
(E) 4
(B) 1100
(C) 1120
(D) 1140
(E) 1160
(B) 1
(C) 12
(D) 36
(E) 96
Point P(3,4) is reflected over the line y = 2x + 1 to P’. Find the sum of the
coordinates of P’.
(A)
23
(D) 3
Two positive integers have a product of 102030 and their greatest common
divisor is 10. How many such pairs exist?
(A) 0
22
(C) 2
Find the sum of all two-digit numbers with the property that both digits are
even.
(A) 1080
21
(B) 1
23
5
(B) 5
(C)
27
5
(D)
29
5
(E)
31
5
How many 2015-digit positive integers are even palindromes? (A palindrome is
a number that reads the same when read backwards. )
(A)3.5 × 101007 (B)4.0 × 101007 (C)4.5 × 101007 (D)5.0 × 101007 (E)5.5 × 101007
24
Define a function f (x) to be the least common multiple of all positive integers
between 1 and x inclusive. For how many positive integer values x ≤ 30 is
f (x+1)
f (x) equal to 1?
(A) 12
25
(B) 13
(C) 14
(D) 16
(E) 17
A composition of a positive integer n is a way to express it as the sum of a set
of positive integers. For example, 3 has 4 compositions: 3, 2 + 1, 1 + 2, 1 + 1 + 1
(Notice that order does matter for compositions but not for partitions. In our
given example, 1+2 is different from 2+1.) . How many compositions does 7
have?
(A) 61
(B) 62
(C) 63
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(D) 64
(E) 65