Area
Hodge Podge
Probability
Volume and Surface Area
Equations of Circles
Angle Sums
100
What is the area of the triangle?
A=1/2(Base)(Height)
=1/2(7)(6)
=21km^2
100
Given the right triangle, what is the correct trigonometric ratio for tan(t)
Tan=(opp)/(adj
tan(t)=7/24
100
Easton has a bag that contains orange chews, cherry chews, and peach chews. He performs an experiment. Easton randomly removes a chew from the bag, records the result, and returns the chew to the bag. Easton performs the experiment 26 times. The results are shown below:
- An orange chew was selected 9 times.
- A cherry chew was selected 14 times.
- A peach chew was selected 3 times.
Based on these results, express the probability that the next chew Easton removes from the bag will be cherry chew as a decimal to the nearest hundredth.
The experiment occurred 26 times, cherry was selected 14 times.
Probability the next chew will be cherry: 14/26=0.538461...
~~0.54
100
What is the volume of the prism
(17)(10)(4)=680 m^3
100
What are the coordinates for the center of the circle graphed below
Center: (5, 7)
100
Find the sum of interior angles of an 8-gon
(n-2)180
(8-2)180
1,080^o
200
What is the area of the parallelogram?
=8*4=32m^2
200
An ice cream shop has 3 types of cones, 31 flavors of ice cream, and 5 toppings. How many different ice cream combinations can you make if you choose 1 cone, 1 flavor, and 1 topping?
=3*31*5 = 465
200
Henry has a bag that contains strawberry chews, cherry chews, and watermelon chews. He performs an experiment. Henry randomly removes a chew from the bag, records the result, and returns the chew to the bag. Henry performs the experiment 55 times. The results are shown below:
- A strawberry chew was selected 15 times.
- A cherry chew was selected 20 times.
- A watermelon chew was selected 20 times.
Based on these results, express the probability that the next chew Henry removes from the bag will be cherry or watermelon as a fraction in simplest form.
The experiment occured 55 times, cherry or watermelon was selected 20+20=40 times.
Probability the next chew will be cherry or watermelon:
40/55=8/11
200
What is the volume of the cylinder:
(Area of Base)(Height of Prism)
(pir^2)(height)
(pi*20^2)(11)
=4,400pi
=13,823.01
200
What is the radius of the circle represented by the equation:
(x+1)^2+(y+4)^2=36
sqrt36=6
200
Find the sum of exterior angles of the regular polygon below
=360^o
300
What is the area?
=(b_1+b_2)/2*h
=(4+8)/2*9
54cm^2
300
What is the probability that a student walks to school given that they are a boy?
15/54
300
In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class has a sibling?
Number of students with a sibling = 2+15+4=21
Number of students in the class: 28
Probability: 21/28=3/4=0.75
300
If the original shape below is dilated by a scale factor of 3, what is the volume of the new shape?
Volume of original shape = (3)(3)(3)=27
Volume of shape after dilation = 27*3^3 = 729cm^3
300
What is the equation of the circle graphed below:
(x+3)^2+(y+1)^2=36
300
Find the measure of the missing exterior angle in the polygon
Sum of exterior angles =360^o
77+64+95+45+c=360^o
281+c=360^o
c=79^o
400
What is the area of the regular polygon
=1/2(Apothem)(Perimeter)
=1/2(6)(8*5)
=120cm^2
400
Write the equation of the circle with a center at (2, -8) and radius 7
(x-2)^2+(y+8)^2=7^2
(x-2)^2+(y+8)^2=49
400
How many options do you have to create a 6 digit pin for your phone, using the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, & 9, where numbers may be repeated
=10*10*10*10*10*10=1,000,000
400
What is the surface area of the cylinder
=310pi
=973.89
400
Rewrite the equation of the following circle in standard form
x^2+y^2+4x-6y-87=0
(x+2)^2+(y-3)^2=100
400
Solve for x
Sum of Interior Angles = (n-2)180
(5-2)180=540
x+x+125+125+90=540
2x+340=540
2x=200
x=100
500
The figures below are similar. The labeled sides are corresponding.
What is the ratio of the area of the smaller rectangle to the area of the larger rectangle?
(3:9)^2=9:81=1/9
500
Alexa’s friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center and ascended at an angle of 20o. The distance between the skydiving center and the helicopter is 3.4 kilometers. At this point she fell in a straight line perpendicular to the ground.
How far did Alexa fall to the ground? Round to the nearest tenth
Sin(20)=x/3.4
x=3.4*sin(20)
x=1.2km
500
Find the number of possible 9-digit social security numbers if the digits may not be repeated.
=10*9*8*7*6*5*4*3*2=3,628,800
500
What is the volume of the pyramid
=1/3(area.of.base)(height)
=1/3(pir^2)(height)
=1/3(pi*15^2)(18)
1,350pi
4,241.15
500
Find the center and radius of the circle represented by the equation below:
x^2+y^2-4x+16y+19=0
Center: (2, -8)
Radius: 7
500
Solve for x
Sum of Interior Angles = (n-2)180
(6-2)180=720^o
10x+8x-16+12x-8+7x+2+9x+4+6x+10=720
52x-8=720
52x=728
x=14