Section 12 Higher

Question 1

Complete the circle theorem: ‘a radius meets a tangent at…’

Answer 1

A right angle

Question 2

Write down the coordinates of the minimum point of the graph y = (x+a)² + b

Answer 2

(-a, b)

Question 3

What does collinear mean?

Answer 3

On the same straight line.

Question 4

If there are x ways to do task 1 and y ways to do task 2, how many ways are there to do both tasks in sequence?

Answer 4

xy

Question 5

The transformation y = f(x) + a represents a translation of the graph y = f(x) by what vector?

Answer 5

Moves up by “a”

Question 6

What’s the value of sin 30?

Answer 6

Half

Question 7

How do we find the composite function fg(x)?

Answer 7

Substitute g(x) into f(x)

Question 8

If two events are mutually exclusive what’s P(A∩B)?

Answer 8

0

Question 9

The transformation y = f(-x) represents a reflection of the graph y = f(x) in which axis?

Answer 9

y axis

Question 10

Complete the circle theorem: “The perpendicular from the centre of a circle to a chord….”

Answer 10

Bisects the chord

Question 11

Sketch y = tan x for -90 ≤ x ≤ 270

Answer 11

Question 12

In a histogram how do you work out frequency density?

Answer 12

Frequency density = frequency / class width