Pythagoras, Trigonometry, Bearing
Refer Pythagoras' Theorem, Trigonometry, Bearing Question 1: Calculate length of AB (round to 3s.f.)
7.75
Transformation (a) (ii) (second question!)
Reflection, x=1
Write 180 as product of prime factors
2 x 2 x 3 x 3 x 5
Simplify 4a-3b+5a+6b
9a+3b
Refer Probability and Statistics Question 1(c)(i) Modal number
9 (highest frequency)
Refer Bearing Question (a)(i) Bearing of port p from port R
270 degrees
Transformations part (a)(i)
Rotation, 180 degrees, centre (6,7)
LCM of 16 and 30
2 x 8 x15 = 240
Simplify 6(2x+1)-5(x-2)
=12x+6-5x+10
=7x+16
Refer Probability and Statistics Question 1(c)(ii) Median number
9
Refer Bearing question a (ii) Bearing of port P from port Q
152 degrees
Scatter graph Question 21a
140,000
Angles Question 1: value of p and q
p=110
q=70
Solve 5x-8=3x+4
5x-3x=4+8
2x=12
x=6
Refer probability & statistics Question 1 (iv) RANGE
12-5=7
Refer Question 3: Calculate value of x
17.4
Transformations (a)(iii)
Enlargement, scale factor 2, centre (6,11)
Angles Question 2: Show that 3 interior angles at P add up to 360.
Find the interior angle of an octagon:
(8-2)x180 / 8 = 135
135 +135 + 90 = 360
f=3g+7h
Work out the value of f when g=-5 and h=2
f=3(-5)+7(2)
f=-15+14
f=-1
Refer probability & statistics Question 2
8/20 = 2/5
6/15 = 2/5
Question 4: Sine Rule and Cosine Rule
Part (a) = 27 degrees
Part (b) = 9.19cm
Scatter graph question 21d - Estimate the value of the house in 2016
Any value between 80,000 to 110,000
Lower and Upper bound
LB = LB-UB = 22.5-8.75=13.75
UB=UB-LB = 23.5-8.65=14.85
Make m the subject of the formula y=4m-p
4m=y+p
m=(y+p)/4Refer probability & statistics Question 1(iii) Mean number
(5x4)+(6x7)+(7x8)+.....(12x3) = 415
415 / 50 = 8.3