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ACT American College Testing: Math Section Sample Questions:

1. The fluctuation of water depth at a pier is shown in the figure below.

One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph.
Which value is it?

A) 19
B) 12
C) 9
D) 3
E) 6

2. Points A, B, C, and D are on a line such that B is between A and C, and C is between B and D.
The distance from A to B is 6 units. The distance from B to C is twice the distance from A to B, and the distance from C to D is twice the distance from B to C.
What is the distance, in units, from the midpoint of

to the midpoint of

?

A) 12
B) 14
C) 9
D) 18
E) 6

3. The ABC Book Club charges a $40 monthly fee, plus $ 2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month.
For each club, how many books must be read in 1 month for the total charges from each club to be equal?

A) 4
B) 75
C) 5
D) 1
E) 6

4. The number p is greater than 0, a multiple of 6, and a factor of 180.
How many possibilities are there for the value of p?

A) 11
B) 7
C) 9
D) 8
E) 10

5. A building built on a level field casts a shadow seven feet long and stands 35 feet tall. A nearby building casts a shadow 14 feet long.
How tall is the building?

A) 28
B) 70
C) 42
D) 56

Solutions: