**
***
Math 9 - Demo
*

The following is a sampling of questions from our Math 8 testbank.

(Upgraded to follow the Western Canada Protocol)

### Number Concepts

**2.14**
If the quotient of two numbers is zero, then
- one number is positive and one is negative
- both numbers are positive
- the numerator is negative and the denominator is positive
- the numerator is zero and the denominator is any other number

**3.17**
The square of -3.2 is
- 10.24 only
- -10.24 only
- 10.24 or -10.24
- none of the above

**5.30**
If 3^{n} = 81, then n has a value of:
- 27
- 9
- 4
- 2

### Number Operations

**7.53**
If a = -4, b = 3, and c = -2/3, then 1/2 a + b - c has a value of:
- 1 2/3
- -1/3
- -1 1/3
- -1 2/3

**7.58**
34/51 reduced to lowest terms is:
- 3/4
- 2/3
- 17/25.5
- not reducible

**8.78**
How many 1/6 L containers can be filled from one big 3 2/3 L container?
- 22
- 21
- 16
- 10

**9.95**
(3a^{2}b^{3})^{2 } =
- 9a
^{4}b^{6}
- 9a
^{4}b^{5}
- 3a
^{4}b^{6}
- 3a
^{4}b^{5}

### Patterns and Relations

**1.2**
Considering the natural numbers 1, 2, 3, 4, . . . , the sum of the first number is 1, the sum of the first two numbers is 3, the sum of the first three numbers is 6, the sum of the first four numbers is 10, and so on. Determining a pattern for these sums, the sum of the first twenty natural numbers should be:
- 144
- 154
- 176
- 210

**5.15**
If -x - (+7) = -4, then the value of **x** is:
- 11
- 3
- -3
- -11

**5.24**
The width of a rectangle is x cm and its length is 2x + 1 cm. If the perimeter is 122 cm, what is its length?
- 20 cm
- 41 cm
- 40.3 cm
- 81 cm

**8.41**
The value of 3x^{2} + 2y - 6, when x = -2 and y = -1 is:
- 28
- 4
- -16
- -20

**5.134**
Split $160.00 into three parts so that the second part is $20.00 more than the first and the third is $30.00 more than the second. How much is each part?
### Shape and Space: Measurement

**1.4**
If sin B = 0.467, the measure of angle B, to the nearest degree, is:
- 62
^{o}
- 47
^{o}
- 28
^{o}
- 25
^{o}

**1.6**
In the triangle shown, the value of tan A, to three decimal places, when CA = 8 CM, AB = 17 cm, and BC = 15 cm is:
- 0.471
- 0.882
- 1.875
- 2.125

**3.14**
Given triangle ABC with angle C = 90^{o}. One of the acute angles has a measure of 22.40^{o} and the hypotenuse has a measure of 12.8 cm. Find the length of the side opposite to the given angle to one decimal place.
- 1.8 cm
- 4.9 cm
- 5.3 cm
- 11.8 cm

**5.36**
If the dimensions of a box are 15.5 cm long, 10.2 cm wide, and 7.8 cm deep, its volume is:
- 33.5 cm
^{3}
- 1233.2 cm
^{3}
- 200.5 cm
^{3}
- 2613.3 cm
^{3}

### Shape and Space: 3-D Object, 2-D Shapes, and Transformations

**8.75**
At a time of day when Mark's shadow is 3.2 m long, the shadow of the tallest tree in the park is 49.6 m. If Mark is 1.4 m tall, how tall is the tree, to the nearest tenth of a meter?
- 15.5 m
- 21.7 m
- 113.4 m
- 158.7 m

**8.76**
To find the distance across a deep, fast-flowing river, Clever Cody thinks he can use mathematics. From point A directly across from a large rock, he marks a line AB which is perpendicular to the line from the rock to A. From B he marks a line BC which is perpendicular to AB and places a peg at D where his line of sight from C to the rock crosses the line AB. He then does some careful measurement and finds AD is 8 m, DB is 2.5 m, and BC is 6.3 cm. The right angle of the large triangle is A, the right angle of the small triangle is B, and the place where they cross each other is D. How wide is the river to the nearest tenth of a meter?

- 20.2 m
- 17.8 m
- 3.2 m
- 2.0 m

**14.91**
If (-3, 3), (5, 3), and (1, -2) are three vertices of a parallelogram, where could the fourth vertex be?
- (8,3)
- (6,1)
- (-7,-2)
- (6,-1)

**16.107**
A triangle with unknown vertices undergoes a transformation described by (x,y) onto (x + 2,y). The effect of this transformation on the shape of the triangle would be to:
- stretch it vertically
- stretch it horizontally
- leave it unchanged
- leave the shape unchanged but flip it upside down on the other side of the X-axis

### Statistics and Probability

**4.4**
The following scatterplot represents data collected considering quantities X and Y.

The line of best fit is most likely:?
- A
- B
- C
- D

**6.10**
If you wished to collect data on the life span of a fluorescent light tube, which of these would be most accurate?
- Watch how many tubes are being bought at a well known hardware store.
- Watch how many tubes are being bought at a "House of Light" store.
- Ask a janitor of a high rise.
- Do your own controlled experiment.

**Use the following data to answer the next four questions.**
13, 22, 25, 15, 22, 27, 16, 20

**7.17**
Find the mean.
- 18.5
- 20
- 22
- none

**7.18**
Find the mode.
- 18
- 20
- 22
- 25

**8.26**
If all the cubes produced after cutting, as in the previous question, are placed in a bag, the probability of drawing one cube with 3 black faces would be:
- 1/8
- 1/4
- 1/2
- 1

**8.32**
A wheel has numbers from 0 to 100 inclusive. When the wheel is spun, what is the probability that it will stop on a perfect square?
- 8/99
- 9/100
- 8/101
- 9/101

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