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ACT American College Testing: Math Section Sample Questions:

1. In parallelogram ABCD below,

is a diagonal, the measure of

is 40°, and the
measure of

is
57°.

What is the measure of

?

A) 57°
B) 83°
C) 40°
D) 77°
E) 97°

2. If 4x + 5 = 15, then 10x + 5 =:

A) 30.
B) 22.5.
C) 15.
D) 25.
E) 2.5.

3. Melissa runs the 50-yard dash five times, with times of 5.4 seconds, 5.6 seconds, 5.4 seconds, 6.3 seconds, and 5.3 seconds.
If she runs a sixth dash, which of the following would change the mean and mode of her scores, but not the median?

A) 5.3 seconds
B) 6.3 seconds
C) 5.6 seconds
D) 5.4 seconds
E) 5.5 seconds

4. Given a positive integer n such that i n = 1, which of the following statements about n must be true? (Note: i 2 = -1)

A) When n is divided by 4, the remainder is 3.
B) When n is divided by 4, the remainder is 1.
C) Cannot be determined from the given information.
D) When n is divided by 4, the remainder is 0.
E) When n is divided by 4, the remainder is 2.

5. The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420.
What is the sum of the 4 scores that are NOT the median?

A) 336
B) 360
C) 315
D) 320
E) 350

Solutions: