ACT Math Mini-Test

What is the value of the expression (y-x)³ when x =5 and y = 1?

• -64
• 64
• -4
• 16

Tags

CCSS.6.EE.A.1

What is the smallest positive integer that is divisible by 3, divisible by 5, and divisible by 6 (with no remainders)?

• 15
• 30
• 60
• 90

In a certain school district, exactly 30% of the students come from families that have only one child.  If there are 7,340 students in the district, how many do not come from families with only one child?

• 514
• 2,202
• 5,138
• 7,120

Tags

CCSS.6.RP.A.3C

What is the slope intercept form of the equation:  3y + 2x = 24?

• y = -⅔x + 8
• y = -3/2x + 12
• m = 2b + 24
• y = 2x + 24

What is the slope of  the line perpendicular to the line 3x + 2y = 19?

• -3/2
• -2/3
• 2/3
• 3/2

Tags

CCSS.7.RP.A.2D

The volume of a cone is given by the formula:  V = π/3 r² h, where r is the radius of the base of the cone and h is the height of the cone.  What is the volume, in cubic centimeters, of a cone with a height of 8 cm and a base with a radius of 3 cm?

• 72π
• 48π
• 24π
• 12π

Tags

CCSS.7.EE.B.3

Given m and n are parallel lines, t is a transversal crossing both m and n, and m∡8 = 100 degrees, what is the measure of ∡3?

• 50 degrees
• 80 degrees
• 100 degrees
• 120 degrees

Tags

CCSS.7.EE.B.3

In the figure ∡B = 40°, and ∡W = 75°.  What is the measure of ∡H?

• 35 degrees
• 65 degrees
• 70 degrees
• 75 degrees

Tags

CCSS.7.EE.B.3

When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y ?

• 4
• 14
• 16
• 20

Tags

CCSS.7.NS.A.3

What is the value of x when 2x + 3 = 3x – 4 ?

• -7
• -1/5
• 1/5
• 7