MFM 1PI Mock Summative Assignment

1. The cost C, in dollars, to take n students to a museum is given by the equation How many students can attend the museum for a total cost of $60?

A16

B 20

C24

D12

2.

A40

B-40

C20

D-20

3.

A -11

B 13

C -13

D 3

4. simplified is

A

B

C

D

5. The expression is equal to

A

B

C

D

6. =

A

B

C

D

7. For the equation the value of is

A-9

B 4

C 3

D-3

8. The cost of printing posters is $45, plus $2 for each poster that is printed. The cost P, in dollars, of printing n posters is given by the equation

A

B

C

D

9. For the right-angle triangle shown, which equation is true?

23

A

B

C

D

MFM 1PI Mock Summative Assignment

10. The perimeter of this figure is

A44 cm

B49 cm

C55 cm

D65 cm

11. A paper cup at a water dispenser has a conical shape as shown.

What is the volume of the cup?

A150 cm3

B450 cm3

C600 cm3

D1800 cm3

12. What is the ROC of this line?

A

B

C

D

PART B: Number Sense

1. Evaluate using BEDMAS. Show all necessary steps.(3 marks each)

a) b)

c) d)

Part C: Proportional Reasoning

1.In a box of candies there are 15 brown ones and 18 orange ones. What is the ratio of brown candies to orange candies, in lowest terms?
  1. The Sam Kee building is the narrowest commercial building in the world. The ratio of its length to its width is 50:3. If it is 30m long, how wide is it? (4 marks)
  2. An MP3 player that regularly sells for $180 is on sale for 25% off the regular price. What is the sale price for the MP3 player? (2 marks)
  3. Mr. Buckley drove 600km on 50L of gas.

(a)How many kilometers can he drive on 1 litre of gas? (1 mark)

(b)How far could he drive on 30L of gas? (1 mark)

(c)How much gas would he need to travel 420km? (2 marks)

Part D: Algebra

1. Simplify(4 marks)

2. Solve the following equations. (6 marks)

a) b) c)

3. Simplify the following expressions using the exponent rules. Do not evaluate.(4 marks)

a)b) c)d)

Part E: Relations and Linear Models

  1. (a) Determine the first differences. Show your calculations in the first difference column of the table below. (2 marks)

Years of Education / Salary ($) / First Differences
8 / 14 000
10 / 20 000
12 / 26 000
14 / 34 000
16 / 50 000
18 / 74 000

(b) Is this relation linear or non-linear? Explain. (2 marks)

  1. Carly is just learning how to snowboard. White Mountain charges $10/hour for lessons and $40 for the lift ticket and snowboard rental.

Let C represent the total cost to Carly and h represent the number of hours of lessons she takes.

Write a partial variation equation to model Carly’s costs. (1 mark)

___ = ______

  1. Amber is broke. Her aunt agreed to start paying her $50 per week to baby-sit her young cousins after school. Amber is going to put all her earning in the bank.

Let B represent her bank account balance and let w represent the number of weeks she has worked. Write a direct variation equation to model Amber’s bank account balance. (1 mark)

___ = ______

  1. A local internet provider charges a one time set up fee of $5, and then $15/month. Therefore, the total Internet charges can be represented by the equation

C=5+15M

Where C represents the total cost of Internet fees andM represents the number of months of Internet service.

(a) Make a table of values of the cost to sign up with this provider for each month, beginning with 0 months up to 5 months. (3 marks)

Number of Months / Cost ($)

(b) Graph the cost to sign up with this provider. The scale on the axes must go up to 10 months and a cost of $180. (5 marks)

(c) Using the graph, how much would it cost to sign up for 9 months? (1 mark)

Part F: Measurement

1. (a) Use Pythagorean theorem to find the length of the triangle’s hypotenuse in the following composite shape. (3 marks)

b) Find the Area and Perimeter of the composite shape. (6 marks)

Perimeter:Area:

2. Help Jason solve the problem. How many cone-shaped cups of water will it take to fill the aquarium? (Hint: Compare the volumes) (7 marks)

Volume of ConeVolume of Rectangular PrismComparison of Volumes Concluding Sentence:

Part G: Geometry

Find the values of the variables in the diagrams below.

b)

a = _____b = _____ x = _____

c = _____d = _____y = _____

e = _____

Part H: Distance-Time Graphs(7 marks)

The following questions refer to the graph below about Sandra’s walk to the store.

a)When did Sandra reach the store? (1 mark)

b)How far is the store from Sandra’s school? (1 mark)

c)During what time period(s) was Sandra walking the fastest? Explain without calculations. (2 marks)

d)Explain what segment EG tells you about Sandra’s motion. (1 mark)

e) Determine the rate of change of segment GH. Show your work. Express your final answer with the appropriate units for Sandra’s speed. (2 marks)

Answers:

Part A. 1a, 2b, 3c, 4d, 5b, 6b, 7d, 8c, 9b, 10a, 11a, 12c.

Part B. a) -26 b) c) d)

Part C. 1. 2. 1.8m 3. $135 4a) 12km 4b) 360km 4c) 35L

Part D. 1. 2a) 2b) 2c) 3a) 3b) 3c) 3d)

Part E. 1b) non-linear 2. 3. 4c) $140

Part F. 1a) 13cm 1b) 2. ; ; 600cups

Part G. 1a); ; ; ; 1b) ;

Part H. a) 20mins b) 550 meters c) 30-35 mins d) stopped for 10 mins e) -90m/min aka 90m/min to school.