Statistics & Probability Geometry Higher Level Math Concepts Math & Science Strategies Science Pre-Assumed Knowledge
A fair die is rolled 3 times. The first 2 rolls resulted in 2 fives. What is the probability of not rolling 5 on the next roll?
5/6
A triangle has an area of 24 square inches
and a height of 8 inches. What could be the
length of its base?
A. 3
B. 4
C. 6
D. 12
E. 48
C.6
What number should be added to each of ttre three
numbers 1, 7, and 19 so that the resulting three
numbers form a geometric progrcssion?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
D. 5
What strategy should you use when the question asks you what "must" be true, is "always" true, or is "true for any value?"
Use PIN and plug in -1, 0 , or 1 if possible
What is the order of the planets?
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune..... Pluto
Assume you pick three letters without replacement from a set of alphabet tiles. What is the probability they are all vowels?
.0038
If the volume of a cube is 8, what is the
shortest distance from the center of the cube
to the base of the cube?
A. 1
B. 2
C. 4
D. (root)2
E. 2(root)2
A. 1
If the 20th term of an arithmetic sequence is 100 and the 40th term of the sequence 9s 250, what is the first term of the sequence?
A) -50
B) -42.5
C) 5
D) 42.5
E) 50
B. -42.5
Name the four high target Pythagorean triplets.
3-4-5
5-12-13
8-15-17
7-24-25
What are the reactants (3) and products (2) of photosynthesis and what is the name for living things that can make their own source of food and growth?
reactants: sunlight + CO2 + H2O
products: O2 + C6H12O6
name: autotrophs
Anna and Paulina are playing video games. Anna has a 60% chance of winning the first game that they play, but this grows to 70% for winning the second game in a row. If Anna loses the first game, she only has a 30% chance of winning the second game. What is the probability that they each win one of two games played?
(.6)(.3)+(.4)(.3) =0.18+0.12= .3
The ratio of the side lengths for a triangle is
exactly 5:10:12. In a second triangle similar
to the first, the shortest side is 8 inches long.
To the nearest tenth of an inch, what is the
length of the longest side of the second
triangle?
A. 6.3
B. 7.5
C. 16.0
D. 19.2
E. Cannot be determined
19.2
For all M, sin(M) + sin(-M) + cos(M) + cos(-M) =
(A) 0
(B) 2
(C) 2sin(M)
(D) 2cos(M)
(E)2(sin(M)+cos(M))
D. 2cos(M)
What is Kate's Rule of 12?
If the question asks you do perform 12 or fewer tedious tasks (plugging numbers into your calculator, drawing stick figured, listing numbers in order, etc) just white knuckle it. If they ask you for more than 12 tasks, find a more efficient way.
Name the units associated with:
1. Force
2. Work
3. Current
4. Resistance
5. Charge
6. Wavelength
7. Frequency
1. Newtons
2. Joules
3. Amperes
4, Ohms
5. Coulombs
6. Meters
7. Hertz
The probability that a randomly chosen American is a Republican is 0.35. What is the probability that in a sample of 10 Americans, that at least 1 will be a Republican?
.9865
The radius of the base of a right circular cone is 6 and
the radius of a parallel cross-section is 4. If the distance between the base and the cross section is 8, what is the height of the cone?
(A) 11
(B) 13 & 1/3
(c) 16
(D) 20
(E) 24
E. 24
If n distinct planes intersect in a line, and another
line Q intenects one of these planes in a single point,
what is the least number of these n planes that Q could intersect?
(A) n
(B) n-l
(C) n-2
(D) n/2
(E) (n-1)/2
B. n-1
When should you draw a trig bowtie?
When the question gives you the address of theta or x.
What are the phases of mitosis, in order?
Prophase, metaphase, anaphase, telophase
Homes built in the suburbs typically have none to three-car garages. Let X be the number of garage stalls per home found in a sample of 200 homes in a local suburban area. From the data obtained, P(x=0)=0.06, P(X=1)=0.45, P(X=2)=0.32. Find the mean number of garage stalls per home for the sample of homes.
1.6
What is the length of the ellipse whose equation is 60x^2 + 30y^2 = 150?
A) 1.26
B) 2.50
C) 3.16
D) 4.47
E) 5.00
D. 4.47
In horr many ways can l0 people be divided into rwo groups, one with 7 people and the other with 3 people?
(A) 120
(B) 210
(C) 240
(D) 5,040
(E) 14,400
A. 120
Name three synonyms for the solution to an equation.
roots, zeros, x-intercepts
What are the definitions and formulae for kinetic energy and potential energy?
Kinetic Energy: energy of motion - 1/2 mv^2
Potential Energy: energy of position as a function of gravity - mph

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