Area
Probability
Two Way Tables
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
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.
P(Cherry) =
The experiment occurred 26 times, cherry was selected 14 times.
Probability the next chew will be cherry: 14/26=0.538461...
~~0.54
100
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 sister?
Number of students with a sister = 2+15=17
Number of students in the class: 28
Probability: 17/28
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
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.
P(Cherry or Watermelon) =
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
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
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
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
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 sister given that they have a brother?
Students with a brother: 2+4 = 6
Probability: 2/6 = 1/3
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
Write the equation of the circle with center at (-2, 3) and a radius of 10.
(x+2)^2+(y-3)^2=10^2
(x+2)^2+(y-3)^2=100
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
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 probability that a student walks to school given that they are a boy?
15/54
400
What is the surface area of the cylinder
=310pi
=973.89
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
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
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
Are the events "walk to school" and "girl" independent? Justify
P(girl) = 46/100 = .46 P(girl|walk) = 22/37 = .59
.46 ≠ .59 so Not Independent
OR
P(girl)*P(walk) = .17 P(girl and walk) = 22/100 = .22
.17 ≠ .22 so Not Independent
500
What is the volume of the cone?
=1/3(area.of.base)(height)
=1/3(pir^2)(height)
=1/3(pi*15^2)(18)
1,350pi
4,241.15
500
What is the equation of the circle graphed below:
(x+3)^2+(y+1)^2=36
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