Trig
Probability
Algebra NO CALCULATOR
Geometry
Problem solving NO CALCULATOR
100
Angles in a triangle add to
180 degrees
100
I roll a 57 sided dice. What is the probability I roll a 17?
(Give answer in any form)
1 in 57
100
solve for x:
4x+5=25
x=5
100
What is a 3 dimensional rectangle called
rectangular prism
100
42 times 11
462
200
Find the hypotenuse of a triangle with other side lengths 4 and 8
sqrt 80
4 sqrt 5
200
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, 'Do you want to pick door No. 2?' Is it to your advantage to switch your choice?
Switch
200
Solve for x:
2x+7=3x-23
x=30
200
if there is a square with side lengths one meter, what is the length of its diagonal?
sqrt2 meters
200
How many 6 digit passcodes can I make using all the letters in the english alphabet and digits if I can use any symbol as many times as I want? (exact number not required)
276
300
A triangle has hypotenuse length 18 and adjacent length 12. How can I find the angle between these two sides
CAH
Cos x = 12/18, 6/9, 2/3
x= cos-1(2/3) (or equivalent)
300
What is the chance of getting a at least TWO 6 on 3 fair dice.
16/216;
2/27
300
Expand:
(x+3)(x-4)
x2-x-12
300
what do the interior angles of an n-sided shape add up to? hint, try out some examples for 3 sided, 4 sided, 5 sided and find a pattern.
sum of interior angles =180*(n-2)
300
852
7225
400
Recite Heron's formula
Area of a triangle = sqrt(s(s-a)(s-b)(s-c))
where s is the semiperimiter (half the perimieter)
400
In a class of 40 students, 22 play soccer, 15 play tennis, and 6 play both sports.
How many students play soccer only? How many play neither sport?
- 16 students play soccer only.
- 9 students play tennis.
Therefore, 31 students play a sport:
- 9 students play neither sport
400
sqrt(9x^2)+4*12=6*(6+x)
x=4?
400
A rectangular fence is built around a garden. The length of the garden is 5 meters more than twice its width. If the width is 8 meters, what is the perimeter of the garden?
58m
400
Is 123456787654320 divisible by 9 AND why (exact number needed)?
yes
AND
Sum of digits adds to a multiple of 9
AND
Sum of digits is 63 (7*9)
500
Can you find another Pythagorean triple a, b, c?
(e.g. 3, 4, 5 is the most classic triple)
Hint: there are 3 set of these triples with a, b, c lengths all under 25.
5,12,13
7,24,25
8,15,17
500
Suppose you're on a game show, and there is a 50/50 chance that you get placed into one of two games.
In the first, you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, 'Do you want to pick door No. 2?' Is it to your advantage to switch your choice?
In the second, the host secretly places the car behind your door. Otherwise the games are identical.
You do not know which game you are put in. Do you switch?
No.
500
Expand:
3(x+1)(x+2)(x+3)
3x^3 + 18x^2 + 33x + 18
500
If is the side length is 1, what is the expression for the area
pi/12
500
What are our names?
.