Special Triangles and Pythagorean Triples
Probability: Unions, intersection, independence
Polygons: Area of Regular Polygons
Similar Figures
Quadratics
100
Solve for c.
c = 100
100
What is P(year 7)? Give answer in simplified, fraction, decimal, and percentage form.
P(year 7) = 58/100 = 29/50 = 0.58 = 58%
100
Find the area.
A=54√3, about 93.53 ft^2
100
If the side ratio is 5:13, then the area ratio is...
25:169
100
Change y = -(x+4)2-6 into standard form and state the vertex.
y = -x2 - 8x - 22 vertex: (-4,-6)
200
What is the exact length of line segment BD?
6sqrt3
200
What is P(female OR football)? Give your answer in simplified, fraction, decimal, and percentage form.
P(female or football) = 72/100 = 18/25 = 0.72 = 72%
200
Find the area of a regular pentagon with side lengths of 12 meters.
A= 247.75 m^2
200
If the area ratio is 36:49, then the perimeter ratio is...
6:7
200
Change y = x2 + 10x + 36 into graphing form and state the vertex.
y=(x+5)2+11 vertex: (-5, 11)
300
Find the exact missing side length.
16sqrt3
300
What is P(soccer | chocolate)? Are they independent?
P(soccer|chocolate) = 12/22 = 6/11
No, they are not independent.
300
Find the area.
A = 2340 m^2
300
If the ratio of the perimeter is 3:4, then the ratio of the volume are...
27:64
300
Change y = x2 + 6x + 3 into graphing form and state the vertex.
y = (x+3)2 - 6 vertex: (-3, -6)
400
Figure ABCD is a square with a line segment connecting point A to point C. If side AB is 6 cm, what is the approximate (rounded to 2 decimal places) length of line segment AC?
8.49 cm
400
Are males and basketball mutually exclusive?
They are not mutually exclusive.
400
Find the area of this regular polygon.
A ≈ 77.25 in^2
400
Two quadrilaterals are similar. The smaller has a perimeter of 20 cm and an area of 60 cm2. If the perimeter of the larger quadrilateral is 50 cm, what is the area of the larger quadrilateral?
A = 375 cm2
400
Change y = 2x2+ 16x - 24 into graphing form and state the vertex.
y = 2(x+4)2-56 vertex: (-4,-56)
500
ABC is an equilateral triangle. Side AC is bisected by line BD. If BD is 2√6, what is AB and what is AD.
AB = 4√2 AD = 2√2
500
P(like snowmobiles AND do not like skateboards) Are they independent?
P(do not like snowmobiles OR like skateboards) Are they mutually exclusive?
P(like snowmobiles AND do not like skateboards)=25/160 = 5/32, 15.6%. They are not independent.
P(do not like snowmobiles OR like skateboards)= 135/160=27/32, 84.4% They are not mutually exclusive.
500
What is the perimeter of this pentagon?
P ≈ 23.51
500
Two similar figures have a ratio of surface areas of 36:49. If the volume of the larger figure is 200 cubic units, what is the volume of the smaller figure to the nearest tenth?
A = 125.9 square units
500
Change f(x) = x2 + 4x - 5 into graphing form and state the x and y intercepts and the vertex.
f(x) = (x+2)2 - 9 vertex: (-2, -9)
x-intercepts: (1, 0) (-5, 0)
y-intercept: (0,-5)