ACT Math Mini Test 3

A chord 20 inches long is 4 inches from the center of a circle, as shown below. What is the radius of the circle, to the nearest tenth of an inch?

• 4.0

• 10.7

• 10.8

• 11.0

• 21.6

Tags

CCSS.HSG.C.A.2

Workers for a roofing company lean a 20-foot ladder against a building. The side of the building is perpendicular to the level ground so that the base of the ladder is 5 feet away from the base of the building. To the nearest foot, how far up the building does the ladder reach?

• 5

• 10

• 18

• 19

• 20

Tags

CCSS.8.G.B.8

Point C is to be graphed in a quadrant of the standard (x,y) coordinate plane below.

If the x-coordinate and the y-coordinate of point C are to have the same signs, then point C must be located in:

• Quadrant I or II

• Quadrant I or III

• Quadrant I or IV

• Quadrant II or IV

• Quadrant III or IV

Tags

CCSS.6.NS.C.6B

What is the x-coordinate of the point in the standard (x,y) coordinate plane at which the two lines y = 2x - 1 and y = x + 2 intersect?

• -2

• 0

• 1

• 3

• 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A square is circumscribed about a circle with a 6 foot radius, as shown below. What is the area of the square, in square feet?

• 12

• 36

• 72

• 144

• 288

If a rectangle measures 12 meters by 16 meters, what is the length, in meters, of the diagonal of the rectangle?

• 14

• 18

• 20

• 22

• 28

Tags

CCSS.8.G.B.8

• The set containing zero

• The set containing all real numbers

• the set containing all positive numbers

• the set containing all negative numbers

• the empty set

For all pairs of real numbers P and Q where P = 2Q + 9, Q = ?

Tags

CCSS.6.EE.C.9

The ratio of the radii of two circles is 5:12. What is the ratio of their circumferences?

• 5:12

• 10:24

Tags

CCSS.7.G.B.4

• 74

• 75

• 110

• 219

• 256

Tags

CCSS.5.NBT.B.7