The formula for a combination is:

C(n,r) = \frac{n!}{r!\left(n-r\right)!}

How do you maximize the area of a rectangle given a set perimeter?

Get the side lengths to be as close as possible

Casework in probability is when you

cut a problem into many parts and count successes within each part

Given a prime factorization, the sum of 3 factors is greatest when

two of them are as small as possible

What was your favorite topic in the past 5 weeks?

Don't pick this (0 points!) I'm warning you., Geometry, Algebra, Probability

Complementary counting is when you

count what you don't want and subtract that from the total outcomes

What do Vieta's formulas relate?

the coefficients of a polynomial to the sum and product of its roots

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AMC 8/AMC 10/12

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Questions 23

Answers

1
Calculators are allowed on the AMC 8/AMC 10/12
False
True
2
How much time do you get on average per question on the AMC 8?
90 seconds
1 minute
86 seconds
96 seconds
3
When dealing with a geometry problem you should draw a diagram.
False
True
4
The formula for a combination is:
C(n,r) = \frac{r!}{\left(r-n\right)!}
C(n,r) = \frac{r!}{n!\left(r-n\right)!}
C(n,r) = \frac{n!}{\left(n-r\right)!}
C(n,r) = \frac{n!}{r!\left(n-r\right)!}
5
How do you maximize the area of a rectangle given a set perimeter?
Get the side lengths to be as close as possible
Make the side lengths as far apart as possible
Split the side lengths in a ratio of 1:2
Put the side lengths in a ratio of 2:3
6
What does WLOG stand for?
Without Loss of Generality
Within Loss of Generality
With Logarithms Or Graphs
Width, Length, Orthocenter and Geometry
7
Supplementary angles add up to
360 degrees
90 degrees
180 degrees
60 degrees
8
The ratios of the side lengths of a 45 - 45 - 90 triangle are:
3 : 4 : 5
1 : 1 : \sqrt{2}
1 : \sqrt{3}: 2
1 : 2 :\sqrt{5}
9
Casework in probability is when you
see if something works just in case
cut a problem into many parts and count successes within each part
find and remove the casing of a problem to make it easier to work through
try many different cases and see what works and what doesnt
10
Given a prime factorization, the sum of 3 factors is greatest when
two of them are as big as possible
two of them are as small as possible
they want to be
they are as close to each other as possible
11
Which of these is not a way to prove similarity in triangles?
SAS
SSS
AA
SSA
12
(40% increase then 40% decrease) -> What does 10 * 1.4 * .4 equal?
9.6
8.4
8
10.4
13
In general, when doing a geometry problem you should focus on finding __________.
Triangles
Hexagons
Squares
Rectangles
14
The formula for the area of a trapezoid is:
base * height
(base1 + base2) * height
base2 * height
(base1 + base2)/2 * height
15
The ratios of the side lengths of a 30 - 60 - 90 triangle are:
1 : 1 : \sqrt{2}
2 : 3 : \sqrt{13}
1 : 2 :\sqrt{5}
1 : \sqrt{3}: 2
16
What was your favorite topic in the past 5 weeks?
Don't pick this (0 points!) I'm warning you.
Geometry
Algebra
Probability
17
Which of these is not a pythagorean triple?
28, 45, 53
7, 24, 25
12, 35, 37
28, 45, 55
18
Complementary counting is when you
count what you don't want and subtract that from the total outcomes
count what you want and subtract that from the total outcomes
count what you think is right directly
count to find the total number of outcomes
19
What do Vieta's formulas relate?
the sum of the coefficients of a polynomial with the sum of it's roots
the coefficients of a polynomial to the sum and product of its roots
the degree of a polynomial with the sum and product of its roots
the number of roots with the coefficients of a polynomial
20
What is the time limit on the AMC 8?
35 minutes
75 minutes
30 minutes
40 minutes
21
What does area/rate equal?
1/time
time
time^2
time1/2
22
What is the time limit for the AMC 10 and AMC 12?
75 minutes
60 minutes
40 minutes
100 minutes
23
The order of operations is pemdas
True
False

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