Math Problems
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
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)(2x^3)
6x⁵
What’s the name of a polygon with 12 sides?
Dodecagon
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
The quadratic x^2−5x+6=0 has what two real roots?
x = 2 and x = 3
The symbol ∑ stands for what mathematical operation?
Summation
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
If the area of a right triangle is 24 and one leg is 6, what’s the length of the other leg?
8
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) in E=mc2
What natural process causes mountains to form where two continental plates collide?
Orogeny (plate convergence)
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
What is the approximate value of the golden ratio (to two decimal places)?
1.62
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
What subatomic particle has the smallest mass?
Electron