Find the value of
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Solving Problems, SM-Bank 026
Solving Problems, SM-Bank 025
Find the value of
Solving Problems, SM-Bank 024
Find the value of
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Solving Problems, SM-Bank 023
Find the value of
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Area, SM-Bank 157
An Aussie Rules football team has booked half of the SCG for a training session. The field available to them under this booking covers 8257 square metres.
Assuming the SCG is perfectly round, determine its diameter, giving your answer in metres to 1 decimal place. (2 marks)
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Area, SM-Bank 156
The semi-circle, pictured below, has an area of 32 square centimetres.
Calculate the diameter of the semi-circle, giving your answer to 2 decimal places. (2 marks)
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Area, SM-Bank 155
A semi-circle has an area of 470 square centimetres.
Calculate the diameter of the semi-circle, giving your answer to 1 decimal place. (2 marks)
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Area, SM-Bank 150
The cross-section of the circular road tunnel, pictured below, has an area of
Calculate the radius of the tunnel. (2 marks)
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Area, SM-Bank 154
The entrance to a tunnel, pictured below, is a semi-circle with an area of
Calculate the diameter of the tunnel. (2 marks)
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Area, SM-Bank 151
The circle pictured below has an area of
Calculate the radius of the circle. (2 marks)
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Area, SM-Bank 153
A circular cricket ground has an area of 11 028 square metres.
Determine the radius of the cricket ground, in metres, giving your answer to 1 decimal place. (2 marks)
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Area, SM-Bank 152
If a circle has an area of 100 square millimetres, find the radius of the circle, giving your answer to 2 decimal places. (2 marks)
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Solving Problems, SM-Bank 002 MC
A clock displayed the time ten o'clock, as shown on the diagram below.
The angle,
Solving Problems, SM-Bank 005
A clock displayed the time four o'clock, as shown on the diagram below.
Calculate the angle,
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Solving Problems, SM-Bank 001 MC
A clock displayed the time one o'clock, as shown on the diagram below.
The angle,
Solving Problems, SM-Bank 006
How many degrees does the minute hand of a clock turn in 35 minutes? (2 marks)
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Solving Problems, SM-Bank 004
How many degrees does the hour hand of a clock turn in 60 minutes? (2 marks)
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Solving Problems, SM-Bank 003
In the figure below, the lines
Determine the value of
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Solving Problems, SM-Bank 002
In the figure below, the lines
Determine the value of
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Solving Problems, SM-Bank 001
Two boats leave from Fremantle. One sails to the Wharf at Rottnest Island and the other sails to Cervantes.
The direction each boat sailed is shown in the map below.
Determine the value of
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Angle Basics, SM-Bank 004 MC
Brianna plotted the points
She then joined some of the points together with lines.
Which of these pairs of lines are parallel?
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Angle Basics, SM-Bank 003 MC
Lines
Line
Which pair of angles are equal?
Angle Basics, SM-Bank 002 MC
Lines
Line
Which pair of angles are equal?
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Angle Basics, SM-Bank 001
The diagram below shows a transversal intersecting two parallel lines.
On the diagram, label the following:
- One pair of corresponding angles using the label "×" to identify the angles (1 mark)
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- One pair of cointerior angles using a dot
to identify the angles (1 mark)
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i. & ii.
Angle Basics, SM-Bank 1 MC
Craig is a town planner and needs to know the angles that streets make with each other.
He knows that Tombs Street and Horan Street are parallel.
What is the size of the shaded angle on the map?
Angle Basics, SM-Bank 002
The diagram below shows a transversal intersecting two parallel lines.
On the diagram, identify
- One pair of alternate angles using a tick
to identify the angles. (1 mark)
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- One pair of vertically opposite angles using a dot
to identify the angles. (1 mark)
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i. & ii.
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i. & ii.
Angle Basics, SM-Bank 003
The diagram below shows a transversal intersecting two parallel lines.
On the diagram, label the following:
- One pair of cointerior angles using a tick
to identify the angles. (1 mark)
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- One pair of alternate angles using a dot
to identify the angles. (1 mark)
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i. & ii.
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i. & ii.
Angle Basics, SM-Bank 004
The diagram below shows a transversal intersecting two parallel lines.
On the diagram, identify
- One pair of vertically opposite angles using the label "×" to identify the angles. (1 mark)
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- One pair of corresponding angles using a dot
to identify the angles. (1 mark)
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i. & ii.
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i. & ii.
Angle Basics, SM-Bank 005
The diagram below shows two parallel lines intersected by transversal
- Name the angle that is vertically opposite
. (1 mark)
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- Name the angle that is corresponding to
. (1 mark)
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i.
ii.
Angle Basics, SM-Bank 006
The diagram below shows two parallel lines intersected by transversal
- Name the angle that is alternate to
. (1 mark)
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- Name the angle that is vertically opposite to
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- Name the angle that is cointerior to
. (1 mark)
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i.
ii.
iii.
Angle Basics, SM-Bank 008
The diagram below shows two parallel lines intersected by transversal
- Name the angle that is vertically opposite to
. (1 mark)
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- Name the angle that is cointerior to
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i.
ii.
Angle Basics, SM-Bank 009
Determine, giving reasons, if the two lines cut by the transversal in the diagram below are parallel. (2 marks)
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Angle Basics, SM-Bank 010
Determine, giving reasons, if the two lines cut by the transversal in the diagram below are parallel. (1 mark)
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Angle Basics, SM-Bank 011
The diagram below shows two parallel lines cut by a transversal.
Find the value of
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Angle Basics, SM-Bank 012
The diagram below shows two parallel lines cut by a transversal.
Find the value of
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Angle Basics, SM-Bank 013
Find the value of
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Angle Basics, SM-Bank 14
A trapezium is pictured below.
Find the value of
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Angle Basics, SM-Bank 005 MC
Angle Basics, SM-Bank 024
Find the value of
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Angle Basics, SM-Bank 023
Calculate the value of
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Basic Angles, SM-Bank 022
Calculate the value of
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Angle Basics, SM-Bank 021
The diagram below shows a right angle.
Calculate, giving reasons, the value of
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Angle Basics, SM-Bank 020
A straight line, as shown below, is split into two angles.
Calculate the value of both angles. (3 marks)
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Angle Basics, SM-Bank 019
A straight line, as shown below, is split into two angles.
Calculate the value of
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Angle Basics, SM-Bank 018
A straight line, as shown below, is split into three angles.
Calculate the value of
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Angle Basics, SM-Bank-017
The diagram below shows a right angle.
Calculate, giving reasons, the value of
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Angle Basics, SM-Bank 016
Calculate, giving reasons, the value of
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Angle Basics, SM-Bank 15
The diagram below has one pair of parallel lines.
Calculate, giving reasons, the value of
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Area, SM-Bank 149
A rhombus has an area of 250 square centimetres. If one diagonal measures 10 centimetres, find the length of the other diagonal. (2 marks)
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Area, SM-Bank 148
A rhombus has an area of 140.8 square metres. If one diagonal measures 16 metres, find the length of the other diagonal. (2 marks)
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Area, SM-Bank 147
Calculate the area of the following rhombus in millimetres squared. (2 marks)
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Area, SM-Bank 146
Calculate the area of the following rhombus. All measurements are in metres. (2 marks)
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Area, SM-Bank 145
Calculate the area of the following rhombus. All measurements are in metres. (2 marks)
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Area, SM-Bank 144
Calculate the area of the following rhombus. All measurements are in centimetres. (2 marks)
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Area, SM-Bank 143
Calculate the area of the following rhombus. All measurements are in millimetres. (2 marks)
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Area, SM-Bank 142
Calculate the area of the following kite. All measurements are in millimetres. (2 marks)
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Area, SM-Bank 141
Calculate the area of the following kite. All measurements are in metres. (2 marks)
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Area, SM-Bank 140
Calculate the area of the following kite. All measurements are in centimetres. (2 marks)
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Area, SM-Bank 139
The diagram shows a sector with an angle of 120° cut from a circle with radius 10 m.
What is the area of the sector? Write your answer correct to 1 decimal place. (2 marks)
NOTE:
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Area, SM-Bank 138
A path 1.8 m wide is being built around a rectangular garden. The garden is 8.4 m long and 5.4 m wide. The path is shaded in the diagram.
Calculate the area of the path in square metres. (2 marks)
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