Grade 9 Applied Assessment of Mathematics

Transcription

1 1 Grade 9 Applied Assessment of Mathematics TCDSB, Math Department, 2012 Number Sense and Algebra Strand: Overall Expectations, Knowledge and Skills (KU, AP,TH, CO) Q.1 (MC, 2007, winter, expectation: solve problems Q.2 (MC, 2007, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.3 (MC, 2007, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.4 (MC, 2007, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) In which step has Ivan made an error? F. Step 1 G. Step 2 H. Step 3 J. Step 4

2 2 Q.4 (OR, 2007, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) 5. Fabulous Fencing Pauline builds a fence around her garden, which is shaped like a parallelogram, as shown below. Pauline uses 100 metres of fencing along the perimeter of the garden. Find the dimensions of her garden. Show your work. Q.1 (MC, 2007, spring, expectation: solve problems 1.On a sunny day, a flagpole that is 5 m tall casts a shadow that is 2.4 m long, as shown below. At the same time, a tree next to the flagpole casts a shadow that is 3.6 m long. Which of the following proportions can be used to determine h, the height of the tree, correctly? 1. Q.2 (MC, 2007, spring, expectation: solve problems Q.3 (MC, 2007, spring, expectation: solve problems

3 3 Q.4 (MC, 2007, spring, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first degree equations) Q.5 (MC, 2007, spring, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first degree equations) Q.7 (OR, 2007, spring, expectation: solve problems 7. Trip Planning The Lucas family is going on a trip to Manitoba and back. It is 1624 km from home to Manitoba. Determine the total cost of the gas for the Lucas family s trip to Manitoba and back, if the cost of gas is 83 per litre and the car uses 9.7 litres per 100 kilometres. Show your work. Q.1 (MC, 2008, winter, expectation: solve problems Q.2 (MC, 2008, winter, expectation: solve problems

4 4 Q.3 (MC, 2008, winter, expectation: solve problems Q.4 (MC, 2008, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.5 (MC, 2008, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.6 (MC, 2008, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.7 (OR, 2008, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) 7. Field Maintenance A field in the shape of a trapezoid has a perimeter of 460 m. A fence is being built along the field s perimeter. Determine the length of fencing needed for each side of the field. Show your work.

5 Q.5 (MC, 2008, spring, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) 5. A rocket is fired upward from the ground. The equation below shows the relationship between h, the height of the rocket above the ground in metres, and t, the time in seconds. h = 60t 5t 2 Which of the following is the height of the rocket after 4 seconds? a. 35 m b. 44 m c.160 m d. 240 m 5 Q.6 (OR, 2008, spring, expectation: solve problems 6. Clarence s Quandary Clarence works at a veterinarian s office. He needs to give a dose of medicine to a 24 kg dog. The recommended dosage for a dog that weighs 10 kg is 25 ml. Determine the dose Clarence should give to the 24 kg dog if the rate remains the same. Show your work. Q.1 (MC, TH, 2009, winter, expectation: solve problems Q.2 (MC, AP, 2009, winter, expectation: solve problems 1. Sunita places a ladder against a wall. For safety reasons, the ratio of the height above the ground to the distance from the wall should be 5:2. She places the top of the ladder 6.5 m above the ground. Which of the following is closest to the distance from the wall? a.2.6 m * b. 3.3 m c. 5.4 m d m

6 6 Q.3 (MC, AP, 2009, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.4 (MC, KU, 2009, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.5 (MC, KU, 2009, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.6 (OR, AP, 2009, winter, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) 6. Jobs EQME21429 Peter has two part-time jobs. His earnings for one week are represented by the equation below: E = 7.50r v E is his total earnings in one week; r is the number of hours he works at the restaurant and v is the number of hours he works at the video store. Peter earns a total of $ in one week. If he works 8 hours at the restaurant, how many hours does he work at the video store? Show your work.

7 7 Q.1 (MC, TH, 2009, spring, expectation: solve problems Darwin is making a drink that is a mix of crystals and water in a ratio of 2:5. Darwin starts by mixing 4 cups of crystals with 9 cups of water. How many more cups of water should he add to have a 2:5 ratio? a. 0 b. 1 c. 2 d. 10 Q.5 (OR, TH, 2009, spring, expectation: solve problems 5. Stacked High A mattress company has 7000 mattresses to sell. The company claims that if all the mattresses are stacked on top of each other, the stack will be 3 times the height of the CN Tower. The height of the CN Tower is 553 m and each mattress is 9 inches high. Is the company s claim true? Justify your answer. Hint: 1 inch = 2.5 cm 1 m = 100 cm

8 1 Grade 9 Applied Assessment of Mathematics TCDSB, Math Department, 2012 Number Sense and Algebra Strand: Overall Expectations, Knowledge and Skills (KU, AP,TH, CO) Q.1 (MC, KU, 2010, expectation: solve problems Q.2 (MC, AP, 2010, expectation: solve problems Q.3 (MC, TH, 2010, expectation: solve problems Q.4 (MC, TH, 2010, expectation: solve problems

9 2 Q.5: (MC, KU, 2010, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.6: (MC, KU, 2010, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.7: (MC, AP, 2010, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.8 (OR, TH, 2010, expectation: solve problems

10 Q.9: (OR, AP, 2010, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) 9. Sail Away Alain designs a sail in the shape of a triangle for a boat. The base and height are equal. The area of the sail is 18 m2. Determine the height of the sail. Show your work. 3 Q.1 (MC, KU, 2011, expectation: solve problems Q.2 (MC, AP, 2011, expectation: solve problems 2 The table below shows information about renting movies from four different stores. Which store offers the lowest cost per movie? a. Great Flix b. Net Show c. Movie Time d. DVDs R US Q.3 (MC, TH, 2011, expectation: solve problems 3. The table below shows the price per case of water at different stores. Evelyn is buying 120 bottles of water. At which store should Evelyn buy her water to pay the least? a Cheapies b Foodsmart c Variety Foods d Super Grocers Q.4 (MC, TH, 2011, expectation: solve problems 4 The cost of an MP3 player is $299. A newer model costs 20% more. Which of the following is closest to the sale price of the newer model after a 30% discount? a. $ b. $ c. $ d $310.96

11 4 Q.5 (MC, KU, 2011, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.6 (MC, KU, 2011, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.7 (MC, AP, 2011, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.8 (MC, AP, 2011, expectation: simplify numerical and polynomial expressions in one variable, and solve simple firstdegree equations) 8. A candle made of wax is in the shape of a cylinder. Which is closest to the total amount of wax to make the candle? a 226 cm 3 b 339 cm 3 c 452 cm 3 d 1357 cm 3 Q.9 (MC, KU, 2011, expectation: simplify numerical and polynomial expressions in one variable, and solve simple firstdegree equations)

12 5 Q.10 (OR, TH, 2011, expectation: solve problems 10. Guzzling Gas David and Shaunese each take a 450 km trip. David drives a car and uses 7 L of gas per 100 km. Shaunese drives a truck and uses 12 L of gas per 100 km. If gas costs $0.90/L, how much more will it cost Shaunese than David to drive 450 km? Show your work. Q.11 (OR, AP, 2011, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations)

13 6 Q.1 (MC, KU, 2012, expectation: solve problems 1. Consider the proportion below. What is the value of a in the proportion? a. 6 b. 8 c. 18 d. 72 Q.2 (MC, TH, 2012, expectation: solve problems 2. A small case of pop, with 12 cans, costs $3.96. A large case has 18 cans. The cost per can in the large case is $0.02 less than in the small case. What is the cost of a large case? a. $3.60 b. $3.72 c. $5.58 d. $5.94 Q.3 (MC, TH, 2012, expectation: solve problems 3: In the first year of a fundraising campaign, donations are collected at a rate of $700 each day for 8 days. In the second year, the daily rate doubles and the campaign is 3 days longer. How much money is raised in the second year? a. $4200 b. $7700 c. $ d $ Q.4 (MC, AP, 2012, expectation: solve problems 4. In an election for student council president, 480 students vote. Jade receives 55% of the votes. Ericka receives the rest of the votes. How many votes does Ericka receive? a. 216 b. 264 c. 425 d. 435

14 7 Q.5 (MC, KU, 2012, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.6 (MC, KU, 2012, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) Q.7 (MC, AP, 2012, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) 7. For which of the following is x = 27 not a solution? a. 4 = x + 11 b. 3x = x 28 c. 5 = -2x 9 d. 5x = 2x - 21 Q.8 (OR, TH, 2012, expectation: solve problems 8. road Trip! Paul drives from home to his friend s house and then back home. The distance from Paul s home to his friend s house is about 720 km. On average Paul s car uses 6.8 L of gas for every 100 km. Gas costs 96.5 cents a litre. How much does Paul pay in total for gas to his friend s house and back home? Show your work.

15 8 Q.9 (OR, AP, 2012, expectation: simplify numerical and polynomial expressions in one variable, and solve simple first-degree equations) 9. Stage Show A stage in the shape of a semicircle is shown below. The area of the stage is 200 m 2. Determine the measure of the diameter. Show your work.

16 Grade 9 Applied EQAO Assessment of Mathematics 2013 TCDSB, Math Department,2013 Number Sense and Algebra Strand Overall Expectations, Knowledge and Skills (KU,AP,TH,CO)

17 Q.1 (MC, KU, 2013, expectation: solve problems Q.2 ( MC, KU, 2013, expectation: solve problems involving proportional reasoning) Q.3 ( MC, TH, 2013, expectation: solve problems Q.4( MC, AP, 2013, expectation: solve problems

18 Q.5 (MC, KU, 2013, expectation: solve problems involving measurements of two-dimensional shapes and the surface area and volume of three-dimensional figures) Q.6 (MC, KU, 2013, expectation: simplify numerical and polynomial expressions in one variable and solve simple first-degree equations) Q.8 (OR, TH, 2013, expectation: solve problems Q.7 (MC, AP, 2013, expectation: simplify numerical and polynomial expressions in one variable and solve simple first-degree equations)

19 Q.9 (OR, TH, 2013, expectation: solve problems involving measurements of two-dimensional shapes and the surface area and volume of three-dimensional figures )