Find the area of a circle with a radius of 3 meters, correct to three decimal places.
pi * 32
= 28.274 m2
Name 5 types of diagrams, tables, charts, graphs, etc. which we have studied this semester.
(topics: finance, measurement, statistics and probability).
Histogram, Scatter Plot, Radial Graph, Two-Way Table, Venn Diagram, Probability Tree, Box Plot, Bar Chart, Line Graph...
The square face of a cube has a perimeter of 28 cm. What's the surface area of the object?
28 / 4 = 7 cm side length
Area of one square face = 49 cm2.
Area of entire cube faces = 6 * 49 = 294 cm2
What year did the iPhone first release?
2007
Which is the only body part fully grown from birth?
Your eyes.
Find the volume of a sphere with radius of 12 m correct to three decimal places.
(4/3)*pi*123
= 7238.229 m3
In a standard deck of cards, what is the chance of drawing a red 3, given that the card drawn is not a face card.
Not a face card = total of 40 card.
No. red 3s = 2.
therefore: 2/40, or 1/20, or 0.05, or 5%
List the next three prime numbers after 61.
67, 71, 73
What is the name of the Egyptian god of the sun?
Ra
What height is a regulation NBA basket set at?
10 feet / 3.02 meters (will accept 3 meters).
The area of a circle is 40.56 m2.
Find the radius, correct to three decimal places.
square root(40.56/pi)
= 3.593 m
What is the term used for when two probabilities add to 100% (or 1.0).
i.e.: The _______ of 0.4 is 0.6
The _______ of 20% is 80%
The complement.
What is the prime factor decomposition of 38.
2 x 19 (a product of only prime numbers)
What artist has the most streams on Spotify (ca. 2024)?
Drake
What is the largest desert in the world?
Antarctica (because it doesn't rain!)
Find the surface area of a cylinder with these dimensions correct to three decimal places:
Diameter - 50 cm
Height - 0.9 m
[Ensure you have matching units!]
2*(pi*0.252) + 2*pi*0.25*0.9
= 1.806 m3
(or 18,064.158 cm3)
A set of 5 numbers is unknown. The stats are given below.
Mean = 4
Median = 3
Mode = 2
Range = 6
Find the five numbers, you have 1 minute.
3 must be in the middle..
2 must be there at least twice..
An 8 will give a range of six..
We need a mean of 4 (15 + x)/5 = 4
the set is 2, 2, 3, 5, 8
There are two rectangular prisms.
The dimensions of the larger prism are double the dimensions of the smaller prism.
If the smaller prisms volume is 10m3. What is the volume of the larger prism?
The dimensions of the smaller prism must be 5m, 2m, and 1m.
Doubling these is 10m, 4m, and 2m.
The volume would be 10 x 4 x 2 = 80 m3
What country drinks the most coffee per capita?
Finland
What character has been played by both Robert Downey Jr. and Benedict Cumberbatch?
Sherlock Holmes
The volume of a sphere is 1297.91812 m3.
Find the radius correct to 3 decimal places.
cuberoot((3/4)*1297.91812/pi)
= 6.767
On the board, draw a probability tree which shows flipping a weighted coin and then rolling and a die. It must be fully detailed.
The chance of getting heads on the coin is 0.25
Find the probability of getting an even number on the die, given that you get tails on the coin.
Tree must include probabilities on individual branches.
Calculation, given that the coin flip gives tails, and we're only inspecting the die roll, the chance is 3/6.
Find the area of this sector, correct to three decimal places:
pi * 42 * ( 60 / 360 )
= 8.378 cm
What is the name of the process by which some animals produce light?
Bioluminescence
Trojan (Horse)