a) 5cm
Length depends on whether you are looking at a print out or on screen
b) 50°
a) 90%
b) 9/24
180 degrees – 45 degrees = 135 degrees
135/360 = 27/72 = 9/24
c) & d) See below
k = 180 5095 = 35°
100°
 At 4:40, hour hand will be 2/3rds of the way between 4 and 5
 Minute handle at 40
 So each hour or number on the clock is 30°
 From 4:40 to 5:00 the degree angle is 10°
 From 5:00 to 8 (Which is for 40 mins), the angle is 3 x 30 – 90°
 Add 10 degrees per note 4 and you get 100
Approximately 40°
An acute angle
65°
 Triangle = 180°
 180 – 50 – 130
 130/2 = 65
B
 180 – 25 – 107 = 48
E
 Isosceles triangles have 2 angles the same
 So, if 30 degrees is one of the angles, then this leaves 150 degrees
 Therefore, 75 degrees is a possible other triangle
285 degrees
 The internal angle is an actute angle ( Between 0 90 degrees)
 Therefore, angle r in this case, is a reflex angle (Greater than 180 degrees less than 360 degrees)
 The internal angle is around 75 degrees
 Therefore, r is 360 – 75 = 285 degrees
 The actual size if measured is 70%. Therefore angle r 290. Any number between 280 and 290 for angle r is acceptable
67°
 Angle on a straight line is 180°
 Therefore 1802390 = 67
a. 10 seconds
If turn is 360 degrees every 40 seconds, 90 degrees as a right angle would take 1/4 of 40 = 10 seconds
b. 84 turns
In 56 minutes, the sails make 56/1 * 60/40 turns
Again, use of fractions to calculate these types of questions
210º
 An equilateral triangle is 60º per inside angle. Therefore, the outside to give a right angle is 30
 In addition , P would be 180 + 3o = 210
a) 8



 If 64 cars in total, then the following equation will be used to calculate the number of red cars
 ^{ 64}/_{1} * ^{45}/_{360. }
 After cross cancellation, this is simplified to:
 64/_{1} * ^{5}/_{40}
 Further cross cancellation:
 8/_{1} * ^{1}/_{1}


b) 3/8
 The key here is to remember that the opposite angles when 2 lines cross, create equal angles
 So given Black and Red are 45º each, this gives 90° in total
 So remaining in the circle is 360 – 90 = 270
 Each angle must therefore be 270/2 = 135
 Every 45 degrees = 1/8th. So 135 = 3/8
a) NE
b) 135º
90 degrees to face North from West . Then a further 45 degrees to get to NE
c) 225º
 Reflex angle is 360 degrees less the angle from West to NE.
 360 less 135 = 225
d) SE
 360 degrees in a circle so of the 495, 360 would bring her back to North
 This leaves 135 degrees. Given 8 markers , each marker is worth 45 degrees
 135/45 = 3 so she moves by 3 markers
 This takes her to SE
a) 18
 Comedy represents 1/4 of the total pie. This is 25%.
 The pie is worth 72 students in total
 So 1/4 x 72 = 18
b) 50º
 360 – 90 – 160 – 60 = 50
a) 30º
 Acute means an angle < 90º. So this is when the hour handle is at 12 and minute handle at 1.
 12 numbers on a regular clock so each one is 30º. (360/12)
 Therefore, at 1 O’Clock, its 30º
b) 15º
 At 6.30pm, the hour handle is exactly in the middle between 6 & 7. The Minute handle is at exactly 6.
 A move from 6 to 7 would be 30º
 So half of this is 15
a) 30º
 Yellow + Purple is a right angle so is 90º
 Therefore, Yellow is 30º
b) 25%
 100% for the pie chart. Therefore, Red occupies 1/4 of this.
 100/1 * 1/4
c) 90

 ^{180}/_{360} * ^{180}/_{1}
 This is 180 degrees/360 degrees * 180. The equation above can be simplified and you should always do this
 ^{1}/_{1} * ^{90}/_{1}
a) octagon
b) obtuse
(greater than 90 degrees)
c) i) 3.4cm
c ii) 27.2cm
34mm x 8 = 272mm
Direction you need to turn: Anticlockwise
Angle of turn required: 60 degrees
Like prior word based questions, just break it down 1 sentence at a time:
Start at zero degrees (or think of it as 12 o’clock). 40 degrees clockwise will be to the right
70 degrees anticlockwise will take you a net 30 degrees to the left of zero
90 degrees clockwise turn from there will take you to a net 60 degrees right. So 60 degrees clockwise