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Right-angled Triangles, SM-Bank 010 MC

Which of the following is true of the hypotenuse in a right-angled triangle?

  1. The hypotenuse is the side opposite to the right angle.
  2. The hypotenuse is the side adjacent to the right angle.
  3. The hypotenuse is one of the shorter sides in a right angled triangle.
  4. The hypotenuse is equal to the sum of the square of the other two sides.
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Composite Figures, SM-Bank 029

Jonti is constructing the stage for the local music festival. The design is made up of one sector arc and two equilateral triangles.

Calculate the perimeter of Jonti's stage. Give your answer correct to one decimal place.  (2 marks)

NOTE:

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Composite Figures, SM-Bank 028

Pixie is designing a new company logo. The design is made up of three identical sectors with the radius of each sector being 18 millimitres.

Calculate the perimeter of Pixie's. Give your answer correct to the nearest millimetre.  (3 marks)

NOTE:

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Composite Figures, SM-Bank 027

Pedro had one piece of pizza left to eat. The piece of pizza was one-eighth of the whole pizza and had a radius of 12 centimetres.

Calculate the perimeter of Pedro's piece of pizza. Give your answer correct to the nearest centimetre.  (2 marks)

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Composite Figures, SM-Bank 022

The diagram below shows the design for a chicken pen at Gayle's farm.

  1. Gayle wishes to construct a fence around the pen. Calculate the amount of fencing required, correct to the next metre.  (2 marks)

  2. Gayle has chosen fencing that costs $22 per metre, with an additional cost of $240 for the installation of a gate. Calculate the total cost of fencing the pen.  (2 marks)

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a.   

b.   

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a.   
   
   
   
   
   

 

b.   
   

Composite Figures, SM-Bank 019 MC

The courtyard shown below incorporates quadrants and rectangles in its design.

The landscaping company needs to calculate the perimeter of the courtyard so they can provide estimates for fencing.

Which answer represents the approximate length of fencing required, to the nearest metre?

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Composite Figures, SM-Bank 017

Jules cuts away one-half of the circle shown below.

  1. Draw a sketch of Jules' new shape. Include the length of the diameter in your sketch.  (1 mark)

  2. What is the perimeter of the new shape, to the nearest metre?  (2 marks)

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a. 

b.   

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a.

b.   
   
   
   
   
   

Composite Figures, SM-Bank 013 MC

Grant cut two semicircles from a rectangle to create Shape 1.

He then joins the semicircles to each end of an identical rectangle to create Shape 2.

Which of the following statements is true about Shape 1 and Shape 2?

  1. They have the same area and the same perimeter.
  2. They have different areas and the same perimeter.
  3. They have the same area and different perimeters.
  4. They have different areas and different perimeters.
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Circles, SM-Bank 055

A plane is circumnavigating the earth at the equator. It is cruising at a constant altitude of 10 kilometres above the earths' surface.

Given the earths' radius is approximately 6400 kilometres at the equator, calculate the distance, , that the plane has travelled after completing one lap of the earth.

Give your answer correct to the nearest whole kilometre.  (3 marks)

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Circles, SM-Bank 054

Given the earths' radius is approximately 6400 kilometres, calculate the distance, , around the earth at the equator. Give your answer correct to the nearest whole kilometre.  (2 marks)

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Circles, SM-Bank 053

Town A is 135 east of Town B along the equator, as shown on the diagram below.

Given the earths' radius is approximately 6400 kilometres, calculate the distance , between the two towns. Give your answer correct to the nearest whole kilometre.  (2 marks)

NOTE: 

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