Name: 

Which statement about the angles in this diagram is false?

Which are the correct measures for ÐKLM, ÐKLN, and ÐNML?

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

Which expression describes the ratios of side-angle pairs in DQRS?

In DDEF, ÐD = 61°, d = 23.9 cm, and ÐE = 38°.
Determine the length of side e to the nearest tenth of a centimetre.

Determine the length of EF to the nearest centimetre.

How you would determine the indicated angle measure, if it is possible?

How you would determine the indicated angle measure, if it is possible?

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

Determine the indicated angle measure to the nearest degree.

Environment Canada recorded the amount of rain (in millimetres) in Victoria, BC for two months.
0      0      9.0      0      0      1.0      0
0      0      7.6      0      0      5.8      0.6
0      0      0.4      0      0      0
0      0      0      0      0      0
0      0      0      0      0      0
0      0      0      0      0      0.4
0      5.8      0      0      1.6      0.2
0      6.0      0      0      0.2      0
0      0.2      0      0      1.0      0
0      2.8      0      0      26.0      0

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

Precipitation (mm)	Frequency
0–4.9	56
5.0–9.9	5
10.0–14.9
15.0–19.9	0
20.0–24.9	0
25.0–29.9	1

Environment Canada compiled data on the number of lightning strikes per square kilometre in Saskatchewan and Manitoba towns from 1999 to 2008.
2.03      1.31      0.25      1.03      1.20      0.17
0.99      1.01      0.24      0.94      0.92      0.09
0.86      0.71      0.05      0.81      0.63      0.01
0.80      0.58      0.00      0.72      0.49      0.52
0.43      0.46      0.40

Determine the standard deviation, to two decimal places.

A set of data is normally distributed. What percent of the data is within two standard deviation of the mean?

Determine the z-score for the given value.
µ = 91.4, s = 3.8, x = 87.6

Determine the percent of data to the right of the z-score: z = 2.26.

Determine the percent of data between the following z-scores:
z = –1.50 and z = 1.50.

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.

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.

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.

What is the boundary line for the linear inequality y – 2x 10?

What is the boundary line for the linear inequality 3x – 6y < 18?

How would you graph the solution set for the linear inequality 4y – 2x < 20?

Which test point is in the solution set for the following system of linear inequalities?
{2y – 6x < 12, 4x + 4y 0, 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.
What are the restrictions on x and y?

Solve 3x² – 3x = –18 by graphing the expressions on both sides of the equation.

Which set of data is correct for the quadratic relation f(x) = (x + 2)(x + 4)?

	x-intercepts	y-intercept	Axis of Symmetry	Vertex
A.	(2, 0), (4, 0)	y = 8	x = 4	(4, 48)
B.	(–2, 0), (–4, 0)	y = –8	x = –4	(–4, 0)
C.	(–2, 0), (–4, 0)	y = 8	x = –3	(–3, –1)
D.	(2, 0), (4, 0)	y = 8	x = 3	(3, 35)

Solve 25x² – 36 = 0 by factoring.

Solve 3y² – 12y = –2y² + 5y + 12 by factoring.

Which set of data is correct for the quadratic relation f(x) = –2(x – 12)² + 15?

	Direction parabola opens	Vertex	Axis of Symmetry
A.	downward	(15, –12)	x = 15
B.	downward	(12, 15)	x = 12
C.	upward	(–12, 15)	x = –12
D.	upward	(15, 12)	x = 15

Solve 9w² + 6w + 1 = 0 using the quadratic formula.

Solve 5x² + 3x + 1= 10 – 3x – 3x² using the quadratic formula.

A hockey arena sells premium tickets for $54. At this price, the arena will sell 150 premium tickets every game. The owners know from past years that they will sell 4 more premium tickets per game for each price decrease of $1. What price would let the owners earn the same amount of money they earn now?

The graph shows how a cyclist travels over time.
When does the cyclist start to return to the starting position?

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?

The dosage of an antibiotic medicine for a person with a mass of 90 kg
is 12 mL. Which equation determines the amount of medicine, A,
in millilitres, needed for a person with a mass of 65 kg?

The original pushpin for these scale diagrams was 24 mm long.
Which diagram was drawn using a scale factor of 3.5?

Data for trapezoid ABCD is shown on the first line of the table.
Trapezoid ABCD is enlarged so the length of base a is 16 cm.
Which rectangle is the enlargement of trapezoid ABCD?

Trape- zoid Name	Length of Base a (cm)	Length of Base b (cm)	Height of Trape- zoid (cm)	Scale Factor	Area (cm2)
ABCD	8	6	16	1	112	1
EFGH	16	6	16	0.5	176	0.25
JKLM	16	12	32	2	448	4
NOPQ	16	16	28	2	448	4
RSTU	16	3	8	0.5	76	0.25

Rectangle A is 6 cm high, 9 cm long, and 15 cm wide.
Rectangle B is 14 cm high, 21 cm long, and 35 cm wide.
These two rectangles are similar.
By what factor is the surface area of rectangle B greater than the surface area of rectangle A?

Does the following statement demonstrate inductive reasoning or deductive reasoning?

Every Monday afternoon at 6:00 p.m., the news is broadcast on television.
Today is Monday, therefore, the news will be broadcast on television.

Determine the values of a, b, and c.

In DABC, ÐA = 45°, a = 6.0 cm, and b = 7.5 cm. Determine the number of triangles (zero, one, or two) that are possible for these measurements. Draw the triangle(s) to support your answer.

An apple orchard has 32 trees with these heights, given in inches.
      116      90      91      99      114      110      124      102
      82      89      104      102      95      105      118      118
      110      97      92      93      91      116      101      101
      116      86      101      83      117      93      132      104

If the interval width is 5 and starts at 80, what is the last interval?

Four groups of students recorded their pulse rates after a 2 km run.

Group 1	126	168	158	192	146	166	104	164	116	138	172	136	152	128
Group 2	158	132	156	160	108	150	178	136	172	140	126	154	130	160
Group 3	136	174	156	176	150	166	142	156	130	182	180	166	148	172
Group 4	144	150	142	152	174	176	118	152	178	164	128	158	158	166

Determine the mean of Group 3, to one decimal place.

A teacher is analyzing the class results for a computer science test. The marks are normally distributed with a mean (µ) of 79.5 and a standard deviation (s) of 3.5.
Sketch the normal curve for the test.

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?

Orange juice is sold in 2 L cartons and 350 mL boxes.
A 2 L carton sells for $3.99 and six 350 mL boxes sell for $4.99.
Which size has the lower cost per millilitre? Show your calculations.

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.

Art tried this number trick:
• Write down your street number.
• Multiply by 2.
• Add the number of days in a week.
• Multiply by 50.
• Add the last two digits of your phone number.
• Subtract the number of days in a year.
• Add 15.

Art’s result was a number in which the tens and ones digits were the last digits of his phone number and the rest of the digits were his street number. He tried to prove why this works, but his final expression did not make sense.

Let n represent any street number.
2n      Multiply by 2.
2n + 7      Add the number of days in a week.
100n + 7      Multiply by 50.
Let p represent the last two numbers of the phone number.
100n + 7 + p      Add phone number digits.
100n + p – 358      Subtract the number of days in a year.
100n + p – 343      Add 15.

Determine the errors in Art’s proof, and then correct them.

Crystal created a math trick in which she always ended with twice the number with which she began. When Crystal tried to prove her trick, however, it did not work.

Crystal’s Proof
n      I used n to represent any number.
4n      Multiply by 4.
4n + 8      Add 8.
2n + 2      Divide by 2.
2n – 2      Subtract 4.

Identify the error in Crystal’s proof and write the proof without error.

A hardware manufacturer produces bolts that has an average length of 1.22 in., with a standard deviation of 0.02 in. To be sold, all bolts must have a length between 1.20 in. and 1.25 in. What percent, to the nearest whole number, of the total production can be sold?

A manufacturer of computer screens has determined that the screens require servicing after a mean of 70 months, with a standard deviation of 8.8 months. What length of warranty should be offered, if the manufacturer wants to repair less than 0.5% of the screens under the warranty?

a) Sketch the graph of y = (x – 4)(x – s), for s = 3.
b) Describe how each graph would be different from your sketch if the value of s was 2, 1, 0, –1, –2, and –3.

Anita is building four enclosed gardens as shown. She bought 150 m of fencing and wants to maximize the total area for the gardens. She wrote the function A(x) = –x² + 75x to represent the total area of the gardens, A(x), in square metres, if each garden is x metres wide.



a) Determine the maximum total area of the four gardens.
b) State the domain and range of the variables in her equation.
c) What are the dimensions of one garden?

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 . What are the dimensions of the block of wood she would need to make 12 carvings?

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.

A movie theatre sells popcorn in a box shaped like a rectangular prism that is 18.0 cm high and has a square base sides with 10.0 cm long. The movie theatre wants a similar container that can hold one-third more popcorn.
a) Determine the ratio that compares the capacity of the new container to the volume of the original container.
b) Determine the dimensions of the new container to the nearest tenth. Explain what you did.