Similarity
Probability
2D
3D
Circles
100
Solve for x:
-8
100
You flip a coin three times. What's the probability that it lands on heads each time?
1/8
100
The area of a parallelogram is 304 square inches and its height is 16 inches. Find the length of its base.
19 inches
100
Find the volume of a cylinder with radius 6 cm and height 4 cm. Leave your answer in terms of pi.
144pi cm3
100
What is the name of the type of line segment in red?
Secant
200
These two polygons are similar. The area of the smaller one is 558 m2. Find the area of the larger trapezoid to the nearest whole number.
3147 square meters
200
What’s the probability that, when rolling a six-sided die, you roll an even number or a 5?
4/6, or 2/3
200
Find the area of a circle with diameter 19m. Leave your answer in terms of pi.
90.25pi m2
200
The surface area of a sphere is 196pi in2. What is its radius?
7 inches
200
Find the value of x (the measure of the acute angle at the chord intersection) in the diagram below.
42o
300
Given that rectangle ABFE is similar to rectangle BDCA, find the value of x.
4
300
You draw two cards from a standard deck, without replacement. What’s the probability that you draw a heart both times? Leave your answer as a fraction.
1/17
300
The area of a square garden is 76 square feet. What is the length of the diagonal (from one corner of the garden to another)? Leave your answer as a simplified radical.
2sqrt38
300
Two similar objects have volumes of 6859 and 2197 m3. Find the ratio of their surface areas.
361:169
300
Segment AB is tangent to the circle, and CB is a radius. Find the area of the circle, in terms of pi.
275pi un2
400
Find the value of x in the diagram below. Answer in simplest radical form.
4sqrt6
400
You select a person at random from the frequency table below. What is the probability that the person you select likes skateboards and does not like snowmobiles?
45/160, about 28%
400
Find the area of a regular pentagon with side length 6 cm. Round your answer to the nearest hundredth.
61.94 cm2
400
Find the lateral area of the square pyramid below.
80 cm2
400
Lines that appear tangent are tangent. Find the value of x in the diagram below.
38o
500
Solve the proportion for x:
4, -12
500
You pull a card from a standard deck. What is the probability that you draw a face card (Jack, Queen, or King), given that the card you drew was a club?
3/13
500
Give an exact answer for the are of the trapezoid below. Units are in cm.
144+72sqrt3 cm2
500
Describe the 2D shape that, when rotated around the x-axis, will create a cylinder with radius 4 and height 8.
Rectangle 4 units tall and 8 units wide.
500
Lines that appear tangent are tangent. Find the value of x in the diagram below.
5