Algebra & Calculus
Functions
Trigonometry
Diff Calc
Int Calc
100
This is the correct expansion of (ax)2.
What is a2x2?
100
This is equal to e0.
What is 1?
100
This is 270º in radians.
What is 3π/2?
100
The derivative
What is the limit of rise over run on a function as you approach a 'zero run'?
100
When this happens, the denominators on a tree diagram decrease from left to right.
What is "without replacement."
200
This is the common ratio for the situation: A herd of kangaroos decreases by 5% per year.
What is 0.95? (1 - .05 = .95 - if they said increase it would have been 1.05)
200
You do these two things when you see a quadratic.
What is: 1) get it equal to zero, and 2) factor.
200
You use this trig rule when two sides and two angles are involved.
What is the sine rule?
200
Solve this equation for matrices: AX = B
What is X = A-1B?
200
This is the interquartile range.
What is Q3 - Q1?
300
This is the 4th row of Pascal's triangle.
What is 1, 4, 6, 4, 1?
300
To find this, swap x and y and solve for y.
What is the inverse function?
300
You use this trig rule in non-right triangles when three sides and one angle are involved.
What is the cosine rule?
300
To find this in vectors, you multiply the ones that match and add all of those products together.
What is the dot product? (scalar product)
300
To input grouped data into the calculator, you have to do this first to get L1.
When do you find the mid-interval value? E.g. 5 ≤ x < 10: mid-interval = (5 + 10)/2 = 7.5
400
These are the three rules the IB loves to test in calculus with ex, trig functions and ln x.
What are the chain, product and quotient rules?
400
This is the resulting transformation of f(-x).
What is horizontal reflection?
400
For this trig identity, you pick which alternate form to use based on what you already know or what else you have.
What is cos 2x? Ex.: sin x = 3/5. Find cos 2x: cos 2x = 1 - 2sin2 x cos 2x = 1 - 2s2 cos 2x = 1 - (3/5)2 cos 2x = 1 - 9/25 cos 2x = 16/25
400
To find this, you square each value in the vector, add them up, and square root.
What is the magnitude?
400
These are situations where there are only two options (yes/no, heads/tails).
What is binomial probability?
500
This is the derivative of 4e2x + 1.
What is 8e2x + 1?
500
These are the three different scenarios involving discriminant and roots.
What are: 1) b2 - 4ac < 0 - 0 roots 2) b2 - 4ac = 0 - 1 root 3) b2 - 4ac > 0 - 2 roots
500
This is the mode your angles should be in for the "easy" arc length and sector area formulas.
What are radians?
500
This is how you multiply matrices.
Rows times columns, add, leave answer where they would overlap.
500
These are the percents for the first, second and third standard deviations.
What are 68%, 95% and 99.7%?