Question Bank for Grade 9 Mathematics

Determine if the change from the smaller triangle is proportinal and describe how the changes affect its perimeter and area.

The circumference of the following circle is 12π units.
What is the area of the shaded region?

• 36π square units
  

• 12π  square units
  

• 8π  square units

• 32π  square units

A regular pentagon has an apothem of 3 yards. What is the area of the regular pentagon in square centimeters? Round your answer to the nearest tenth.

• 41 yd²

• 33 yd²

• 132.0 yd²

• 4.1 yd²

Given the following triangle, find the slope of the altitude that connects from Point B to side AC.

• m=1/2

• m=2

• m=-1/2

• m=-2

Find the area of the shaded region:

• 66x³ + 12x²
• 80x² - 24x
• 66x³ + 40x² + 24x
• 66x³ + 92x² -24x

An unknown quadrilateral has these points:

P(0,3) ,Q(5,7), R(6,1), S(1,-3)

What is true about PQ and RS? (Select all that apply)

• They are parallel

• They are congruent

• They are perpendicular

• They are skew

Consider a quadrilateral and its diagonals. Which conjecture would best describe a quadrilateral whose diagonals divide it into four congruent isosceles right triangles.

• Rectangle

• Parallelogram

• Trapezoid

• Square

• Rhombus

Find the area of the shaded region. Only type the number part of the answer.

(a)  

• A

• B

• C

• D

Given that the smaller triangle has an area of 22 square units. Find the area of the bigger triangle.

• 66 square units

• 88 square units

• 264 square units

• 154 square units