Grade 9 Applied Assessment of Mathematics

Transcription

1 Grade 9 Applied Assessment of Mathematics TCDSB, Math Department, 2012 Measurement and Geometry Strand: Overall Expectations, Knowledge and Skills (KU, AP,TH, CO) Q.17 (MC, 2007, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures) Q.18 (MC, 2007, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures) 1

2 Q.19 (MC, 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) Q.21 (OR, 2007, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures) 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. 2

3 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) 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. 3

4 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- ) 4

5 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) 5

6 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) 6

7 Q.19 (MC, AP, 2009, winter, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures) Q.20 (MC, AP, 2009, winter, expectation: determine, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving twodimensional shapes, and apply the results to solving problems) 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 m 3 * b. 268 m 3 c m 3 d m 3 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) 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. 7

8 Q.17 (MC, KU, 2009, spring, expectation: determine, through investigation, the optimal values of various measurements of rectangles) 17. Which of the following rectangles provides the maximum area for a perimeter of 16 m? a b c d 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) 20.Consider the diagram on the left. What is the value of x in the diagram? a. 150 o b. 90 o c. 60 o d. 30 o Q.21 (OR, 2009, TH, spring, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures) 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. 8

9 Grade 9 Applied Assessment of Mathematics TCDSB, Math Department, 2012 Measurement and Geometry Strand: Overall Expectations, Knowledge and Skills (KU, AP,TH, CO) 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) 26. The water container below needs to be filled. Which of the following represents the volume, in cm 3, of water that fills the container? 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

10 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) 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. 2

11 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 3

12 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) 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 twodimensional shapes, and apply the results to solving problems) 4

13 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) 35. Consider the diagram below. Which equation is true? a. x = z b. w = y c. y + z = 1808 d. w + z = 1808 Q.36 (OR, TH, 2011, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures) 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/m 2. The shaded part of the sail is made with material that costs $125/ m 2. Determine the total cost of the sail. Show your work. 5

14 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) 37. Designing Consider the design below. Complete the table below with the values of x and y. Justify your answers using geometric properties. 6

15 Q.24 (MC, AP, 2012, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures) 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 m 2 b. 42 m 2 c. 20 m 2 d. 18 m 2 Q.25 (MC, KU, 2012, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures) Q. 25: Consider the cylinder below. Which of the following is closest to the volume of the cylinder? a. 126 m 3 b 132 m 3 c 264 m 3 d 396 m 3 Q.26 (MC, TH, 2012, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures) Q. 26: Air is pumped to fill a spherical balloon. Each time air is pumped, 300 cm 3 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 7

16 Q.27 (MC, TH, 2012, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures) 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 m 3 c. 132 m 3 d. 170 m 3 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. 28: Consider the diagram shown. What is the value of x? a. 30 o b. 60 o c. 120 o d. 150 o 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) 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 8

17 Q.30 (OR, TH, 2012, expectation: solve problems involving the measurements of two-dimensional shapes and the volumes of three-dimensional figures) 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. 9

18 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) 31. Angle, Angle Consider the diagram below. Complete the chart below with the values for p and r. Justify your answers using geometric properties. 10

19 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)

20 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.)

21 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.)

22 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.)

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