HL AA Final Quiz

Question 1

What is the reason the mean of a data set is not always the best measure of central tendency?

Accepted Answer

It is affected by outliers

Question 2

What does the symbol "∈" mean?

Accepted Answer

Belongs to

Question 3

What does the discriminant Δ=b^2-4ac tell us about a quadratic equation?

Accepted Answer

The number and nature of its roots

Question 4

A quadratic in vertex form is given by:

Accepted Answer

a\left(x-h\right)^2+k

Question 5

What is the value of \sin\left(\frac{\pi}{6}\right)?

Accepted Answer

\frac{1}{2}

Question 6

Why are partial fractions useful in calculus?

Accepted Answer

They allow integrals to be split into simpler parts

Question 7

What does “interquartile range” measure?

Accepted Answer

The middle 50% spread

Question 8

In the modulus-argument form of a complex number z=rcisθ , what does rrepresent?

Accepted Answer

The magnitude of the vector

Question 9

What is the purpose of using sigma notation in series?

Accepted Answer

Concisely writing the sum of terms

Question 10

Which of these command terms requires you to 'give a result without calculation'?

Accepted Answer

Write down

Question 11

What is the defining property of an even function?

Accepted Answer

f\left(x\right)=f\left(-x\right)

Question 12

What does De Moivre’s Theorem allow you to do?

Accepted Answer

Raise complex numbers in polar form to powers

Question 13

What is the key difference between a function and a relation?

Accepted Answer

A function assigns one output to every input

Question 14

The command term “Justify” requires you to:

Accepted Answer

Give valid mathematical reasoning for an answer

Question 15

If two variables have a Pearson’s r of 0.95, what can be said?

Accepted Answer

Strong positive correlation

Question 16

In proof by induction, which step comes immediately after the base case?

Accepted Answer

Assume true for n = k

Question 17

Which of the following is equivalent to \log\left(ab\right)?

Accepted Answer

\log\left(a\right)+\log\left(b\right)

Question 18

In polar coordinates, an angle is typically measured:

Accepted Answer

In radians from the x-axis

Question 19

What does the command term "State" require you to do?

Accepted Answer

Give a specific answer without justification

Question 20

What does the command term "Sketch" require?

Accepted Answer

A rough graph with key features labelled

Question 21

If an event has probability 0.25, how many times would you expect it to occur in 80 trials?

Accepted Answer

20

Question 22

The symbol ∪ in set theory represents:

Accepted Answer

Union

Question 23

What does a negative discriminant in a quadratic equation indicate?

Accepted Answer

Complex roots

Question 24

What does the command term "Verify" mean?

Accepted Answer

Show through calculation or reasoning that a result is correct

Question 25

The tangent of an angle in a right triangle is best defined as:

Accepted Answer

Opposite / Adjacent

Question 26

Which function has a vertical asymptote at x=0?

Accepted Answer

f\left(x\right)=\frac{1}{x}

Question 27

The sum of an infinite geometric series is only defined when:

Accepted Answer

|r|<1

Question 28

Which of the following is a complex number in polar form?

Accepted Answer

re^{iθ}

Question 29

What transformation is applied to f\left(x\right)to get f\left(x-3\right)

Accepted Answer

Horizontal shift 3 right

Question 30

The graph of a quadratic function is a:

Accepted Answer

Parabola

HL AA Final Quiz

Questions 30

HL AA Final Quiz

Questions 30