Free WACE Year 11 Mathematics Specialist Flashcard Review
Review 20 public cards with spaced repetition. Flip a card, then grade your recall. Cards you miss return today. Your schedule stays in this browser.
Loading your review schedule…
Browse the free cards
Negation of P ⇒ Q?
P and not Q.
Converse?
Q ⇒ P.
Inverse?
not P ⇒ not Q.
Contrapositive?
not Q ⇒ not P.
Meaning of ⇔?
Both implications hold.
Negate ∀x P(x).
∃x not P(x).
Angle in a semicircle?
90°.
Central versus inscribed angle on one arc?
Central angle is twice the inscribed angle.
Opposite cyclic angles?
They sum to 180°.
Equal chords in one circle?
Equivalent to equal minor central angles.
Intersecting chords?
AX × BX = CX × DX.
External tangent and secant?
MT² = MA × MB, with M,A,B in order.
When do counts add?
For mutually exclusive and exhaustive cases.
When do counts multiply?
For successive choices with the stated number of continuations at each stage.
Define n! and 0!.
n! = n(n − 1)…1; 0! = 1.
State nPr.
nPr = n!/(n − r)! for ordered selections without replacement.
Count arrangements with repeated groups.
Divide n! by the factorial of each identical-group size.
How does the block method work?
Treat required neighbours as one object, then count internal orders.
State two-set inclusion–exclusion.
|A ∪ B| = |A| + |B| − |A ∩ B|.
Why add the triple intersection?
Triple members were added three times and subtracted three times; restore one count.