Math Problems
If the area of a right triangle is 24 and one leg is 6, what’s the length of the other leg?
8
What’s the name of a polygon with 12 sides?
Dodecagon
I am the invisible force that causes objects to accelerate toward Earth’s center — what am I?
Gravity
What part of a plant cell captures light energy for photosynthesis?
Chloroplast
What element has 6 protons?
Carbon
Simplify:
(3x^2-3)(2x+4)
6x^3+12x^2-6x-12
The symbol ∑ stands for what mathematical operation?
Summation
I’m a colorless gas that helps fire burn but can’t burn myself — what am I?
Oxygen
In the food chain, what term describes animals that eat both plants and other animals?
Omnivores
What’s the acceleration due to gravity on Earth (in m/s²)?
≈ 9.8 m/s²
A line passes through (2, 5) and (8, 17). Find its equation in slope-intercept form.
y = 2x + 1
What’s the smallest positive integer that is both a perfect square and a perfect cube?
64
A metal cube sinks in water, but the same cube floats when shaped like a bowl. Why?
It displaces more water; average density decreases
What type of symbiotic relationship benefits one organism and harms the other?
Parasitism
When a chemical reaction absorbs heat, it’s called what type of reaction?
Endothermic
The quadratic x^2−5x+6=0 has what two real roots?
x = 2 and x = 3
What are the first 10 digits of pi?
3.141592653
What fundamental constant connects energy and mass in Einstein’s famous equation?
Speed of light (c)
What do we call the study of birds?
ornithology
What’s the main difference between a covalent bond and an ionic bond?
Covalent shares electrons; ionic transfers electrons
A geometric sequence has first term 3 and fourth term 81. What’s the common ratio?
3
Simplify. Exact answers only.
root()(216)
6root()(6)
I can be bent, slowed, or split, yet I have no mass. What am I?
Light
What biogeochemical cycle involves nitrogen-fixing bacteria in the soil?
Nitrogen cycle
Which planet in our solar system has the most moons?
Saturn. It has 146 moons.