5-6th Grade Math
Engineering and Physics
EC Math
Ecology and Earth Science
Random
100
Describe why we add zeroes in each step of the standard multiplication algorithm
place value. Each place represents multiplication by 10^i, where i >= 0 for whole numbers
100
Why are triangles the strongest shape?
rigid construction and distribution of force
100
Compute (67 % 41) % 7
(67 % 41) %7 =
26 % 7 =
5
100
Describe what a trophic level is and give an example
one level of the food chain.
0-producer (lilypad)
1-primary consumer (fly)
2-secondary consumer (frog)
3-tertiary consumer (hawk)
100
What does this traffic sign mean?
Slippery road ahead
200
evaluate the expression:
3(2+5)^2 + 3 + 2(25)
3(2+5)^2 + 3 + 2(25) =
3(7)^2+3+2(25) =
3*7^2+3+50 =
3*49+3+50 =
147 + 3 + 50 = 200
200
Elisha is doing a triple axel spin while ice skating. He starts with his arms outstretched and then tucks them in and speeds up. Why?
Narrower arms need to cover less distance and require less force/work to move, so Elisha is able to spin faster
200
List out the decimal numbers 1-5 in binary
double points: list 6-10 too
001, 010, 011, 100, 101
0110, 0111, 1000, 1001, 1010
200
The curly hair allele C decides how curly someone's hair is via the following genes:
CC - curly
Cc - wavy
cc -straight
If Yakir's dad has Cc and his mom has CC, what is the probability that Yakir has wavy hair?
punnet square:
C C
C CC CC
c Cc Cc
2 in 4 or 50%
200
Which country has the only non-rectangular flag?
Nepal
300
If Lazar can make 9 origami fidgets in Math and Science, how many can he make in a full day of 8 class periods (even though he shouldn't)?
36
300
Yisi is running a stopwatch. He throws a football from the 40 yd line when the stopwatch says 2.5 seconds. The ball hits the 70 yd line at exactly 4.0 seconds. What was the velocity of the football?
Hint: velocity = displacement / change in time
change in distance: 70-40=30
change in time: 4-2.5=1.5
velocity = change in distance / change in time = 30 / 1.5 = 20 yds per second
300
Lev's light won't turn on so he can't see anything in his room. His sock drawer contains 10 socks:
4 red, 3 blue, 3 green
What is the minimum amount of socks Lev has to remove to be guaranteed that he finds a matching pair?
Double Points: If there are s types of socks in the drawer, what is the minimum amount that Lev must pull out to guarantee a pair?
4. If Lev pulls out 3, he could have R, B, G. But on the 4th pull one sock MUST match the others.
s+1
300
What is a trophic cascade? Give an example.
Double points: is a trophic cascade a top-down or bottom-up effect? Why?
level 3 is removed -> level 2 increases -> level 1 is wiped out -> level 2 starves
top-down b/c it goes down the trophic pyramid
300
Name any 5 countries in Africa
Double points: name 5 more
- Algeria
- Angola
- Benin
- Botswana
- Burkina Faso
- Burundi
- Cabo Verde (Cape Verde)
- Cameroon
- Central African Republic (CAR)
- Chad
- Comoros
- Congo, Democratic Republic of the (DRC)
- Congo, Republic of the (Congo-Brazzaville)
- Côte d'Ivoire (Ivory Coast)
- Djibouti
- Egypt
- Equatorial Guinea
- Eritrea
- Eswatini (formerly Swaziland)
- Ethiopia
- Gabon
- Gambia
- Ghana
- Guinea
- Guinea-Bissau
400
Write and solve an equation to describe the following:
Alex has 5 more than twice the number of M&Ms that Benny has.
Where A is the number of M&Ms that Alex has and B is the number of M&Ms that Benny has.
Then, assume Alex has A=67 M&Ms
A = 5 + 2B
Let A = 67
67 = 5 + 2B
=> B = 31
400
Ahron is pulling his sled up an incline/hill using its rope. Draw a free body diagram with at least 3 labeled force vectors.
Double points if you can name and label every force in action (there are 5)
tension pulling the rope uphill, tension pulling on ahron's arm, normal pushing up on the sled, gravity pulling ahron and sled down, friction pushing the sled downhill
400
Ely's chromebook password is 5 english letters without accents (upper or lowercase), then a 3-digit number (100 or greater). For example:
viDeO671 is one example.
What is the maximum number of guesses to figure out Ely's password without repeating wrong passwords? An expression is fine!
(Hint: there are 26 letters in the english alphabet)
(Hint: if there are A choices for one thing and B choices for another, there are AB choices altogether)
5 letters from 26*2, 1 digit 1-9, 2 digits 0-9, then one of 10 special characters is:
52*52*52*52*52*9*10*10
400
From an ecological perspective, why is raking your leaves and throwing them away in bags an awful awful idea (Hint: think about decomposers and matter cycling)
The leaves nutrients are not returned to the soil, decreasing soil quality and the ability to grow things
400
Name the last 5 presidents. Trump counts as one. Double terms do not count as 2 even if nonconsecutive (not back-to-back)
Double Points: Name the 5 before them!
Trump, Biden, Obama, Bush (W), Clinton
Bush (HW), Reagan, Carter, Ford, Nixon
500
Find a solution to the quadratic (has an x^2) equation
4x^2 - 92/4 = 41
Double points: find the second solution to the equation!
In general, an equation with x^n in it has n solutions if n is the highest exponent. We call this the degree of the equation
x = +8 or -8
4x^2 - 92/4 = 41 =>
4x^2 - 23 = 41 =>
4x^2 = 64 =>
x^2 = 16 =>
x must be 4 or -4
500
Eli S and Eli G are playing tug-of-war to decide who must choose a new name. Eli S pulls with v1 = -50N of force and Eli G pulls with v2 = +30N of force. If the rope has a mass of 4 kg, what is the direction and magnitude of the acceleration of the rope?
(Hint: net force = mass*acceleration)
(Hint: net force is when you add up the forces)
net force: v1+v2 = -50+30 = -20
acceleration: net force = mass*acceleration
=> -20 = 4*a
=> a = -5
=> 5 meters per second squared leftward
500
We know from the McKiva's Problem that if there are A choices for one thing and B choices for another, there are AB choices altogether. Prove it with a convincing argument
Hint: there are multiple ways to prove this, but one way is to think about punnet squares as a small example of this problem where A=B=2. Thinking about the area equation for a rectangle is also helpful
- punnet square and each cell contains one item from the top and one from the side
- tree diagram
- it's an addition problem with many addends
500
Describe what the Greenhouse Effect is
molecules get trapped inside the earth's atmosphere -> they are struck by sun -> they heat up -> they make the average temperature of Earth higher -> molecules get trapped inside the earth's atmosphere -> they are struck by sun -> ...
500
Define 2 of the following literary devices:
Allusion, simile, alliteration, parallelism, personification, hyperbole, foreshadowing, juxtaposition
Double Points: define the other 6!
nah