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ACT American College Testing: Math Section Sample Questions:

1. In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.

If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?

A) 64 cm2
B) 78 cm2
C) 25 cm2
D) 89 cm2
E) 39 cm2

2. The point (2, 1) is the midpoint of a line with endpoints at (-5, 3) and:

A) (-10, 3)
B) (-7, 2)
C) (9, -1)
D) (-3, 4)
E) (7, 1)

3. An empty crate weighs 8.16 kg and an orange weighs 220 g.
If Jon can lift 11,000 g, how many oranges can he pack in the crate before lifting it onto his truck?

A) 37
B) 12
C) 50
D) 13
E) 46

4. FILL BLANK
If -6 b + 2 a - 25 = 5 and

, what is the value of

?

5. If x × y = 144, x + y = 30, and x > y, what is the value of x/y?

A) 16
B) 32
C) 4
D) 8

Solutions: