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Grade 9 Applied Assessment of Mathematics 2007-2009

Q.17 (MC, 2007, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

TCDSB, Math Department, 2012

Measurement and Geometry Strand: Overall Expectations, Knowledge and Skills (KU, AP,TH, CO)

Q.18 (MC, 2007, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

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21. Big Bridge The dimensions of a side of a bridge are shown in the diagram below. The arches are semicircles with the same radius. Determine the area of the side of the bridge shown. Show your work.

Q.19 (MC, 2007, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.21 (OR, 2007, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.20 (MC, 2007, winter, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

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21. Deck Boards Sonya is building a rectangular deck in her backyard. The deck will have support beams running through the centre, making 4 isosceles triangles, as shown below. Determine the values of x and y. Justify your answers.

Q.18 (MC, 2007, spring, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.20 (MC, 2007, spring, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

Q.21 (OR, 2007, spring, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

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Q.17 (MC, 2008, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.18 (MC, 2008, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.19 (MC, 2008, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.20 (MC, 2008, winter, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

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Q.21 (OR, 2008, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.19 (MC, 2008, spring, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

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Q.21 (OR, 2008, spring, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.17 (MC, TH, 2009, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.18 (MC, TH, 2009, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

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21.Parallel Illusions EQME21492

Often lines that look parallel are not parallel. Which two lines in the diagram above are parallel? Justify your answer using geometric properties.

Q.19 (MC, AP, 2009, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

19.A fully opened parachute is shaped like a hemisphere and has a diameter of 8 m, as shown. Which of the following is closest to the volume of air that can fit in the fully opened parachute? a. 134 m3 * b. 268 m3 c. 1072 m3 d. 2145 m3

Q.20 (MC, AP, 2009, winter, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

Q.21 (OR, AP, 2009, winter, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

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17. Which of the following rectangles provides the maximum area for a perimeter of 16 m?

20.Consider the diagram on the left. What is the value of x in the diagram?

a. 150o b. 90o c. 60o d. 30o

21.Global Gift Shop A gift shop sells water-filled spherical globes that sit on bases. There are two sizes to choose from.

• A small globe has a radius of 6 cm.

• A large globe has a radius of 18 cm. Mary thinks that the volume of water contained by the large globe is about three times the volume of water in the small globe.

Is she correct?

Circle one: Yes No

Justify your answer.

Q.20 (MC, 2009, KU, spring, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

Q.21 (OR, 2009, TH, spring, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.17 (MC, KU, 2009, spring, expectation: determine, through investigation, the optimal values of various measurements of rectangles)

a b c d

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Grade 9 Applied Assessment of Mathematics 2010-2012

Q.24 (MC, KU, 2010, expectation: determine, through investigation, the optimal values of various measurements of rectangles)

Q.25 (MC, TH, 2010, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.26 (MC, AP, 2010, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

TCDSB, Math Department, 2012

Measurement and Geometry Strand: Overall Expectations, Knowledge and Skills (KU, AP,TH, CO)

Q.27 (MC, TH, 2010, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

27. An ice cream shop sells ice cream cones that each contain an average of 525 cm3 of ice cream. The ice cream is served from the following cylindrical tub. About how many

cones can be made from a full tub of

ice cream with the dimensions

shown?

a. 8 b. 16 c. 60 d. 242

26. The water container below needs to be filled. Which of the following represents the volume, in cm3, of water that fills the container?

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30. Get  Trackin’  

Ashley runs around the following track. How many times must she run around the track in order to run a total distance of 4 km?

Show your work.

Q.28 (MC, KU, 2010, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

Q.29 (MC, AP, 2010, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

Q.30 (OR, TH, 2010, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

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Q.31 (OR, AP, 2010, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

Q.29 (MC, AP, 2011, expectation: determine, through investigation, the optimal values of various measurements of rectangles)

Q.30 (MC, TH, 2011, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

30. Two square gardens are shown below. A welcome banner extends from a corner of Garden A to a corner of Garden B. Which is closest to the length of the banner?

a. 6 m b. 9 m

c. 12 m d. 78 m

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Q.33 (MC, TH, 2011, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.34 (MC, ku, 2011, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

Q.31 (MC, ku, 2011, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.32 (MC, TH, 2011, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

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35. Consider the diagram below.Which equation is true?

a. x = z

b. w = y c. y + z = 1808

d. w + z = 1808

36. Wind in My Sails

A sail for a sailboat is represented below. The unshaded part of the sail is made with material that costs $32/m2. The shaded part of the sail is made with material that costs $125/ m2.

Determine the total cost of the sail.

Show your work.

Q.35 (MC, AP, 2011, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

Q.36 (OR, TH, 2011, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

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37. Designing

Consider the design below. Complete the table below with the values of x and y.

Justify your answers using geometric properties.

Q.37 (OR, AP, 2011, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

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Q. 24: Ollie constructs a rectangular deck. He builds the deck around a garden in his yard as shown below. What is the area of the deck? a . 48 m2 b . 42 m2 c . 20 m2 d . 18 m2

Q. 25: Consider the cylinder below. Which of the following is closest to the volume of the cylinder? a . 126 m3 b 132 m3 c 264 m3 d 396 m3 Q. 26: Air is pumped to fill a spherical balloon. Each time air is pumped, 300 cm3

of air enters the balloon. Which of the following is closest to the number of times air must be pumped to fill an empty spherical balloon to a radius of 10 cm? a . 4 b . 14 c . 30 d . 42

Q.24 (MC, AP, 2012, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.25 (MC, KU, 2012, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.26 (MC, TH, 2012, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

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Q. 27: A container that stores grain is in the shape of a cylinder and cone as shown. Which is closest to the volume of the container? a . 88 m3 b . 113 m3 c . 132 m3 d . 170 m3 Q. 28: Consider the diagram shown. What is the value of x? a . 30o b . 60 o c . 120 o d . 150 o

Q. 29: A regular pentagon is shown below. What is the value of x? a . 60 o b . 72 o c . 108 o d . 180 o

Q.27 (MC, TH, 2012, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

Q.28 (MC, KU, 2012, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

Q.29 (MC, AP, 2012, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

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Q. 30: School’s  In Chandra uses the map below to determine the distance from home to school. Determine the total distance she will travel from home to school if she walks along the dark, solid lines shown on the map. Show your work.

Q.30 (OR, TH, 2012, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures)

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31. Angle, Angle Consider the diagram below. Complete the chart below with the values for p and r. Justify your answers using geometric properties.

Q.31 (OR, AP, 2012, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems)

Grade 9 Applied EQAO Assessment of Mathematics 2013

TCDSB, Math Department,2013

Measurement and Geometry Strand

Overall Expectations, Knowledge and Skills (KU,AP,TH,CO)

Q.24 (MC, KU, 2013, expectation: determine through investigations the optimal values of various measurements of rectangles.)

Q.25 (MC, KU, 2013, expectation: solve problems involving the measurements of two dimensional shapes and the volume of three dimensional figures.)

Q.26 (MC, KU, 2013, expectation: solve problems involving the measurements of two dimensional shapes and the volume of three dimensional figures.)

Q.27 (MC, KU, 2013, expectation: solve problems involving the measurements of two dimensional shapes and the volume of three dimensional figures.)

Q.28 (MC, KU, 2013, expectation: determine geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.)

Q.29 (MC, KU, 2013, expectation: determine geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.)

Q.30 (OR, TH, 2013, expectation: determine geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.)

Q.31 (OR, TH, 2013, expectation: determine geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.)