Mathematics and Geometry Quiz

Lyla is covering a spherical ball with a total of 324 square centimeters of fabric. What is the maximum volume the ball can have? (Note: surface area of a sphere is 4πr²; volume of a sphere is 4/3πr³)

• 243π cm³

• 243/π cm³

• 972√π cm³

• 972/√π cm³

In parallelogram PTQR, m∠P = (4x + 7)° and m∠T = (5x + 6.5)°. How many degrees is ∠R?

• 90°

• 180°

• 360°

• 270°

Tags

CCSS.HSG.CO.C.11

A hockey puck has a diameter of 5.4 cm and a height of 3.2 cm. What is the volume of a cylindrical package containing four pucks? Express your answer to the nearest cubic centimeter.

• 292 cm³

• 368 cm³

• 2920 cm³

• 3680 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which figure(s) below can have a triangle as a two-dimensional cross section? Select the best choice. I. Cone II. Cylinder III. Cube IV. Square Pyramid

• I only

• II & IV

• I, II, and IV

• I, III, and IV

Tags

CCSS.7.G.A.3

In the rhombus, the m∠A = (15y)°, m∠B = (2x + y)°, & m∠C = (45z)°. What is the sum of x, y, and z?

• 12

• 15

• 18

• 21

Tags

CCSS.HSG.CO.C.11

Tim has a rectangular prism with a length of 10 cm, a width of 2 cm, and an unknown height. He needs to build another rectangular prism with a length of 5 cm and the same height as the original prism. If the volume of the two prisms will be the same, what will be the width of the new prism?

• 4 cm

• 5 cm

• 6 cm

• 8 cm

Tags

CCSS.7.G.B.6

The diagonals of square DGFH intersect at E. If DE = 2x + 6 and GH = 6x – 10, find DF.

• 11

• 28

• 56

• 90

Tags

CCSS.HSG.CO.C.11

What is the value of x in rectangle ABCD below?

• 15.5

• 16

• 17

• 18

Tags

CCSS.HSG.CO.C.11

• The initial amount is 1200.

• The initial amount is 600.

• The annual interest rate is 8%.

• The account is compounded annually.

• The account is compounded semi-annually.

Tags

CCSS.HSF-IF.C.8B

Which exponential function is increasing?

Tags

CCSS.HSF-IF.C.7E