Name: 

All cats are mammals. All mammals are warm-blooded. Tashi is a cat.
What can be deduced about Tashi?

1. Tashi is warm-blooded.
2. Tashi is a mammal.

Determine the unknown term in this pattern.

1, 1, 2, 3, 5, ____, 13, 21

Determine the unknown term in this pattern.

17, 14, ____, 8, 5, 2, –1

Which pairs of angles are equal in this diagram?

Determine the length of f to the nearest tenth of a centimetre.

Determine the measure of q to the nearest degree.

How would you determine the distance from the village to the starting point?

Determine the unknown side length to the nearest centimetre.

Determine the indicated angle measure to the nearest degree.

Determine the indicated angle measure to the nearest degree.

Determine the median of the following test scores.
History Test 1 Scores (out of 100)
90      84      77      66
89      84      77      65
86      82      75      65
86      81      72      61
84      79      70      56

Environment Canada compiled data on the number of lightning strikes per square kilometre in Alberta and British Columbia towns from 1999 to 2008.
0.42      0.04      0.81      0.40      0.03      0.74
0.28      0.03      0.70      0.23      0.03      0.66
0.13      0.02      0.61      0.12      0.01      0.58
0.10      0.00      0.49      0.07      1.08      0.43
0.05      0.91      0.42      0.04      0.88

What value goes in the fourth row of this frequency table?

Lightning Strikes (per square kilometre)	Frequency
0.00–0.19	13
0.20–0.39	2
0.40–0.59	6
0.60–0.79
0.80–0.99	3
1.00–1.19	1

A set of data is normally distributed. What percent of the data is greater than the mean?

Determine the percent of data between the following z-scores:
z = –2.25 and z = 1.75.

A poll was conducted about an upcoming election. The result that 30% of people intend to vote for one of the candidates is considered accurate within ±4.5 percent points, 19 times out of 20.
State the confidence interval.

The results of a survey have a confidence interval of 4.8% to 7.2%, 19 times out of 20.
Determine the margin of error.

Which sample size will have the greatest margin of error?

In a recent survey of high school students, one third of those surveyed said they would vote for Melissa as student council treasurer. The survey is considered accurate to within 5 percent points, 19 times out of 20.
If a high school has 1200 students, state the range of the number of votes Melissa should expect.

Identify the point of intersection for the following system of linear inequalities.
{y – 3x < 12, x + y 0, x R, y R}

Identify the point of intersection for the following system of linear inequalities.
{2y – 6x < 12, 4x + 4y 8, x   I, y   I}

Describe the boundary lines for the following system of linear inequalities.
{10y – 5x 0, 4x + 2y > 10, x   I, y   I}

Which set of data is correct for this graph?

Set	Axis of Symmetry	Vertex	Domain	Range
A.	x = –2	(–2, 6)	x Î R	y Î R
B.	x = –6	(–6, –2)	–8 £ x £ 4	–8 £ y
C.	x = –2	(–2, –6)	x Î R	–6 £ y
D.	x = 2	(2, 6)	–6 £ x £ 2	–6 £ y

Solve 2x² + 11x + 12 = 0 by factoring.

Solve 8p² + 8p = –7p² – 3p + 14 by factoring.

Solve 10 + 5x² + 18x = –4x² – 18x – 10 by factoring.

Which set of data is correct for the quadratic relation f(x) = –6(x – 18)² – 30?

	Direction parabola opens	Vertex	Axis of Symmetry
A.	upward	(30, –18)	x = 30
B.	downward	(6, 30)	x = –18
C.	upward	(–6, –18)	x = –30
D.	downward	(18, –30)	x = 18

Which quadratic function represents this parabola?

Solve 2x² + 4x = –5 – 2x² using the quadratic formula.

A hockey arena sells premium tickets for $70. At this price, the arena will sell 150 premium tickets every game. The owners know from past years that they will sell 3 fewer premium tickets per game for each price increase of $2. What should the owners charge for a premium ticket to earn the maximum amount of money?

A dozen eggs cost $2.63. What is the unit rate?

An 8 kg bag of potatoes costs $9.15. What is the unit rate?

Which situations could be described using the rates $15.56/lb, 80 km/h, and $1.58/L?

Data for triangle ABC is shown on the first line of the table.
Triangle ABC is reduced by a scale factor of 40%.
Which triangle is the reduction of triangle ABC?

Triangle Name	Length of Base (cm)	Height of Triangle (cm)	Scale Factor	Area (cm2)
ABC	5.00	3.00	1	7.50	1.00
DEF	2.00	1.00	40%	1.00	0.13
GHI	1.50	1.20	40%	1.25	0.16
JKL	1.20	2.00	40%	1.20	0.15
MNO	2.00	1.20	40%	1.20	0.16

Which of the following boxes are similar to a gift box that is 10 cm by 8 cm by 16 cm?

In DLMN, the values of m, ÐL, and ÐN are known.
How can you use the sine law to solve for n?

In DMNO, ÐM = 33°, n = 6.2 cm, and o = 4.9 cm. Does this involve the SSA situation? If so, how many triangles with the given measurements are possible?

Is the data in this set normally distributed? Explain briefly.
24      27      36      21      26      26      30      28      30      22
20      14      34      35      34      29      25      30      21      27
35      24      37      25      30      39      23      26      32      25
27      29      31      31      28      32      32      33      24      29
29      27      26      28      31      22      32      28      30      31

Graph the solution set for the linear inequality 3y – 6x < –1.

Why would you use an open dot to show the point of intersection in the following system of linear inequalities?
{(x, y) | x + y 2, x > –3, x R, y R}

Sketch the graph of the relation y = (x – 4)(x – 6), then state the domain and range.

Solve . State solution as exact values.

Sooki enlarges this figure by a scale factor of 2.
Determine the area of the enlarged figure, to the nearest square unit.

The dimensions of a right hexagonal prism are enlarged by a scale factor of 6.5.
Determine the value of .
Do not round your answer.

A regular hexagon shares a side with a regular pentagon, as shown.
Determine the measures of the interior angles of DABC.
Show your solution.

Two Jasper National Park rangers in their fire towers spot a fire.
Determine the distances, to the nearest tenth of a kilometre, from each tower to the fire. Show your work.

An advertisement for a new toothpaste states that 80% of users reported better dental check-ups. The results of the poll are accurate within 4 percent points, 9 times out of 10.
a) State the confidence level.
b) Determine the confidence interval.
c) In a focus group of 50 students, four said they already used this toothpaste and another five did not want to try it. Determine the range of the mean number of the remaining students who could expect better dental check-ups.

Alicia coaches a women’s field hockey team of 16 players. She plans to buy new practice jerseys and hockey sticks for the team. The supplier sells practice jerseys for $35 each and hockey sticks for $110 each. Alicia can spend no more than $2500 in total. She wants to know how many jerseys and sticks she should buy.
a) Write a linear inequality to represent the situation.
b) Use your inequality to model the situation graphically.
c) Determine a reasonable solution to meet the needs of the team, and provide your reasoning.

A banquet room is set up to seat, at most, 400 people. Each rectangular table seats 10 people, and each circular table seats 6 people.
a) Define the variables and write a linear inequality to represent the number of each type of table needed.
b) The organizers of the banquet would like to have as close to the same number of rectangular tables and circular tables as possible.
What combination of tables could they use? Explain your choice.

Odette is setting up her social networking page:
• She wants to have no more than 460 friends on her new social networking page.
• She also wants to have at least two school friends for every karate friend.
a) Define the variables and write a system of inequalities that models this situation.
b) Describe the restrictions on the domain and range of the variables.

A refinery produces oil and gas.
• At least 1.5 L of gasoline are produced for each litre of heating oil.
• The refinery can produce up to 8.5 million litres of heating oil and 4 million litres of gasoline each day.
• Gasoline is projected to sell for $1.05 per litre. Heating oil is projected to sell for $1.90 per litre.
The company needs to determine the daily combination of gas and heating oil that must be produced to maximize revenue. Create a model to determine this combination. What would the revenue be?
Optimization Model
Let g represent the number of millions of litres of gasoline.
Let h represent the number of millions of litres of heating oil.
Let R represent the total revenue from sales in millions of dollars.
Restrictions:
g Î R, h Î R
Constraints:
g 0
h 0
g 1.5h
g 4
h 8.5
Objective function to maximize:
R = 1.05g + 1.90h

A fire hose placed on the ground sprays water in a path modelled by the quadratic function f(x) = –0.16x² + 2x, where x is the horizontal distance and f(x) the height of the sprayed water, both in metres. How high and how far did the hose spray the water?

A landscaper is designing a rectangular garden, which will be 5.5 m wide by 6.5 m long. She has enough crushed rock to cover an area of 6.0 m² and she wants to make a uniform border around the garden. How wide should the border be if she wants to use all the crushed rock?