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ACT American College Testing: Math Section Sample Questions:

1. FILL BLANK
Stephanie buys almonds at the grocery store for $1.00 per pound. If she buys 4 pounds of almonds and pays a 5% tax on her purchase, what is Stephanie's total bill?

2. If set M contains only the positive factors of 8 and set N contains only the positive factors of 16, then the union of sets M and N:

A) contains four elements.
B) contains nine elements.
C) contains only even elements.
D) contains only the elements that are in both sets M and N.
E) contains exactly the same elements that are in set N.

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

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

4. For what positive real value of k , if any, is the determinant of the matrix

equal to k ? (Note: The determinant of matrix

equalsad - bc .)

A) There is no such value of k.
B) 12
C) 4
D)

E) 3

5. The list of numbers 41, 35, 30, X, Y, 15 has a median of 25. The mode of the list of numbers is 15.
To the nearest whole number, what is the mean of the list?

A) 25
B) 26
C) 27
D) 30
E) 20

Solutions: