Section 11 Higher

Question 1

What are the properties of the diagonals of a kite ?

Answer 1

The diagonals cross at right angles cross at right angles and one bisects the other.

Question 2

Name the circle theorem which has a triangle and a tangent with a circle

Answer 2

Alternate segment theorem

Question 3

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

Answer 3

x axis

Question 4

Sketch y = cos x for 0 ≤ x ≤ 360

Answer 4

Curve starting at (0,1) then passing through (90,0), (180,-1), (270,0) and (360,1)

Question 5

When finding the nth term of a quadratic sequence how do we find the coefficient of n²?

Answer 5

Halve the second difference

Question 6

Write down the equation of a circle centre (0, 0) and radius r.

Answer 6

x² +y² = r²

Question 7

If the length scale factor is k, what is the volume scale factor?

Answer 7

k³

Question 8

If distance is measured in metres and time is measured in seconds, what unit would represent acceleration?

Answer 8

m/s²

Question 9

If two events are independent, how can we find P(A∩B)?

Answer 9

P(A) x P(B)

Question 10

List the first five powers of two

Answer 10

2, 4, 8, 16, 32

Question 11

Where does the graph of y = a to the power x meet the y-axis?

Answer 11

(0,1)

Question 12

Write down the cosine rule in terms of a²

Answer 12

a² = b² + c² - 2bcCosA