Name: 

Which conjecture, if any, could you make about the sum of two odd integers
and one even integer?

Henry made the following conjecture:

Determine the unknown term in this pattern.

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

Fred and Ethel are playing darts. Ethel has a score of 16.

To win, she must reduce her score to zero and have her last counting dart be a double. Which of the following scores on the dart board, in order, would give her the win?

Which angle property proves ÐBED = 73°?

In which diagrams are two lines parallel?

1.		2.		3.

Which are the correct measures for ÐWXZ, ÐUZY, and ÐVYX?

Determine the sum of the measures of the interior angles of this polygon.

In DRST, ÐS = 54°, s = 91.8 cm, and ÐT = 64°.
Determine the length of side t to the nearest tenth of a centimetre.

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

A radar operator on a ship discovers a large sunken vessel lying parallel to the ocean surface, 150 m directly below the ship. The length of the vessel is a clue to which wreck has been found. The radar operator measures the angles of depression to the front and back of the sunken vessel to be 52° and 70°. How long, to the nearest tenth of a metre, is the sunken vessel?

In DLMN, ÐM = 63°, m = 13.4 m, and n = 15.0 m.
Which statement is true for this set of measurements?

Which would you use to determine the indicated angle measure?

Which histogram represents the following test scores?
Geography Test 3 Scores (our of 100)
92      85      78      67      54
92      83      78      65      53
90      83      77      62      50
88      80      75      62      48
86      80      68      60      42

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

Determine the standard deviation, to two decimal places.

Jayma recorded the time it takes her to get to school using three different routes.

Hour	1	2	3	4	5
Route 1 (min)	12	8	11	12	8
Route 2 (min)	14	9	12	12	10
Route 3 (min)	6	14	10	9	11

On which route does Jayma have a more consistent travel time?

Determine the z-score for the given value.
µ = 52, s = 6, x = 64

A poll was conducted about an upcoming election. The results are considered accurate within ±2.7 percent points, 19 times out of 20.
State the confidence level.

A poll was conducted about an upcoming election. The result that 71% of people intend to vote for one of the candidates is considered accurate within ±3.0 percent points, 9 times out of 10.
State the confidence interval.

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.

Which system of linear inequalities has no solution?

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

Which test point is in the solution set for the following system of linear inequalities?
{10y – 5x 0, 4x + 2y > 10, x   I, y I}

A football stadium has 60 000 seats.
• 70% of the seats are in the lower deck.
• 30% of the seats are in the upper deck.
• At least 40 000 tickets are sold per game.
• A lower deck ticket costs $100, and an upper deck ticket costs $60.
Let x represent the number of lower deck tickets.
Let y represent the number of upper deck tickets.
Which of the following is a constraint for this situation?

Jan volunteers to fold origami frogs and swans for a display.
• She has 8 squares of green paper for the frogs and 12 squares of white paper for the swans.
• It takes her 4 min to fold an origami frog and 3 min to fold an origami swan.
• There must be two swans for every frog.
Let f represent the number of frogs.
Let s represent the number of swans.
Which of the following points is in the feasible region?

Which parabola opens upward?

Which set of data is correct for this graph?

	Axis of Symmetry	Vertex	Domain	Range
A.	x = 3	(3, 2)	x Î R	2 £ y
B.	x = 3	(2, 3)	x Î R	y Î R
C.	x = 2	(2, 3)	–1 £ x £ 7	2 £ y
D.	x = 3	(3, 2)	–2 £ x £ 8	0 £ y

What are the x- and y-intercepts for the function f(x) =x² – 2x – 8?

What is the correct quadratic function for this parabola?

Which set of data is correct for the quadratic relation f(x) = –2(x – 1)(x – 5)?

	x-intercepts	y-intercept	Axis of Symmetry	Vertex
A.	(1, 0), (5, 0)	y = –10	x = 3	(3, 8)
B.	(–1, 0), (–5, 0)	y = 10	x = –3	(–3, 64)
C.	(–1, 0), (–5, 0)	y = –10	x = 3	(3, –8)
D.	(1, 0), (5, 0)	y = 10	x = –3	(3, 64)

Solve 4p² + 15p = –9 by factoring.

A company manufactures cylindrical planters. A town council wants planters with a wide rim for people to sit on. The company suggests that the area of the soil in the planter be about equal to the area of the rim. If the outer radius of the planter is 8.0 m, what is the radius of the soil?

A bridge is supported by three arches. The function that describes the arches is
h(x) = –0.2x² + 3.0x, where h(x) is the height, in metres, of the arch above the ground at any distance, x, in metres, from one end of the bridge. How tall is each arch?

The graph shows how a cyclist travels over time.
Over which interval is the cyclist travelling at 10 km/h?

A 4.5 kg package of wild Pacific salmon costs $108. Which equation determines
the amount of salmon, A, in kilograms, you could buy for $8?

It takes 4 h 26 min to fill a 3600 L water tank. Which equation determines
the length of time, t, in minutes, it will take to fill a 1700 L water tank?

Data for circle O is shown on the first line of the table.
Circle O is reduced so the area is 1017.876 cm².
Which circle is the reduction of circle O?

Circle Name	Radius (cm)	Scale Factor	Area (cm2)
O	24	1	1809.56	1
P	17	0.85	1017.88	0.625
Q	18	0.75	1017.88	0.5625
R	16	0.8	1017.88	0.64
S	17	0.75	1017.88	0.675

Data for rectangle ABCD is shown on the first line of the table.
Rectangle ABCD is enlarged so the width is 19.5 cm.
Which rectangle is the enlargement of rectangle ABCD?

Rectangle Name	Length (cm)	Width (cm)	Scale Factor	Area (cm2)
ABCD	9.0	13.0	1.00	117.00	1
EFGH	13.5	19.5	1.35	265.25	2.25
JKLM	12.5	19.5	1.25	253.25	2.125
NOPQ	13.5	19.5	1.50	263.25	2.25
RSTU	15.5	19.5	1.50	302.25	2.5

Which of the following mixing bowls are similar to a mixing bowl
that is 15 cm deep, is 9 cm in diameter at the bottom and 21 cm
in diameter at the top? Choose the best answer.

Determine two angles between 0° and 180° that have the sine ratio 0.8480.

Is the data in this set normally distributed? Explain.

Interval	10–19	20–29	30–39	40–49	50–59	60–69
Frequency	1	8	11	13	9	3

Determine the z-score for the given value.
µ = 9.3, s = 0.4, x = 8.8

Is the point (0, –5) in the solution set for the following system of linear inequalities?
{y – 2x 2, y > 3x – 5, x R, y R}

A student council is ordering signs for the winter dance. Signs can be made in letter size or poster size.
• No more than 30 of each size are wanted.
• No more than 50 signs are needed altogether.
• Letter-size signs cost $8.75 each, and poster-size signs cost $14.50 each.
Let l represent the number of letter-size signs.
Let p represent the number of poster-size signs.
Write linear inequalities to represent the first point above.

Sketch the graph of f(x) = 2(x – 1.5)² + 3, then state the domain and range of the function.

Solve 2y² + 8y + 2 = 0. State the solution as exact values.

A 4.0 L can of Coloura paint will cover 45 m².
A 2.5 L can of Brights paint will cover 30 m².
Determine the area that one litre of each type of paint will cover.
Which brand of paint will cover a greater surface area?

A potter creates a cylindrical vase with a volume of 7250 cm³.
Then the potter creates a smaller, similar vase, in which the dimensions are reduced by a scale factor of .
Determine the volume of the smaller vase.

Akilah, Barbara, Cathy, and Donna all go to the same high school. One likes history the best, one likes math the best, one likes computer science the best, and one likes English the best. Use the statements below to determine who likes computer science the best.

• Akilah and Cathy eat lunch with the student who likes computer science.
• Donna likes history the best.

Alexandra, Morana, Rebecca, and Yvonne play on the high school basketball team. After the first quarter of one game, Morana led Rebecca by 3 points. Yvonne led Alexandra by 5 points, and Rebecca led Alexandra by 2 points. In the second half, Alexandra got 4 points while Rebecca was scoreless. At half time, Yvonne was ahead of Morana by 4 points and Morana was 4 points ahead of Rebecca. Morana, Yvonne, and Rebecca did not play in the second half of the game. At the end of the game, Alexandra had 2 more points than Yvonne. Who finished third in scoring?

Do you need to know QP || MR to determine the measure of ÐQMO? Explain.

A farmer finishes repairing a fence post and then walks 200 yd through his corn field. He turns and walks another 250 yd east, until he can see the fence post directly southwest of him. He realizes that he left some of his tools at the fence post and heads directly back to it. How far does he need to walk, to the nearest metre?

Leon keeps track of the amount he spends, in dollars, on weekly lunches during one semester:
25      19      36      19      17      10
24      33      24      28      25      31
28      26      29      26      18      32
a) Determine the range, mean, and standard deviation, correct to two decimal places.
b) Remove the greatest and the least weekly amounts. Then determine the range, mean, and standard deviation for the remaining amounts.
c) What effect does removing the greatest and the least amounts have on the three values?

A banquet room is set up to seat, at most, 750 people. Each rectangular table seats 24 people, and each circular table seats 5 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.

Triangle A is 42 cm wide and 20 cm high.
Triangle B is 7 cm wide and similar to triangle A.
a) Determine the scale factor by which triangle A was reduced to form triangle B.
Sketch the triangles if it will help you.
b) Determine the areas of triangle A and triangle B.
c) How many triangles congruent to triangle B would fit inside triangle A?

A male moose is 2.6 m tall and 3.2 m long, with antlers that are 1.2 m across. An artist wants to carve scale models of the moose. She uses a scale factor of .

a) What are the dimensions of the carvings to the nearest centimetre?
b) How many carvings can she make using part of a railway tie that is 22 cm by 18 cm by 32 cm? Explain.