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Apprenticeship and work place Mathematics grade 12 level 6

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; Subject: ; Class: ; with 40 questions; test in 40 minutes; update 27/07/2018
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Subjects Update 27/07/2018
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Question 1.

If matrix A has dimension 2 × 3, what is the dimension of matrix B such that both AB and BA are possible?

(A)

2 x 2

(B)

2 x 3

(C)

3 x 3

(D)

3 x 2

Question 2.

Logging trucks A, B and C have two-way radios. Only A’s radio is working properly. Truck B can only send messages and truck C can only receive messages. Which matrix describes the communication network?

(A)

(B)

(C)

(D)

Question 3.

Find (2A)2  if

 

(A)

(B)

(C)

(D)

Question 4.

In a certain town, if it rains one day, the chance that it will rain the next day is 35%. However, if it does not rain, the chance for rain the next day is only 7%. If it rains today, what is the chance that it will not rain three days from now?

(A)

83%

(B)

88%

(C)

90%

(D)

91%

Question 5.

If the formula “5∗AVERAGE(B1 . . B4)” was entered into cell D2, what would be the contents of cell D2?

(A)

10

(B)

50

(C)

55

(D)

200

Question 6.

Given the spreadsheet with formulas as shown below, what value would be calculated for cell C3?

(A)

24

(B)

64

(C)

144

(D)

400

Question 7.

What is the effective (equivalent) annual rate of interest on a car loan advertised with an annual interest rate of 8% compounded monthly?

(A)

8.00%

(B)

8.16%

(C)

8.24%

(D)

8.30%

Question 8.

The spreadsheet below shows the beginning of an amortization schedule for a principle of $40 000 over 60 months with an annual interest rate of 6% compounded monthly.

What amount should appear in cell D4?

(A)

$200.00

(B)

$400.00

(C)

$573.31

(D)

$773.31

Question 9.

Jason purchased a used car with list price $1 500. He paid $500 down and amortized the remainder with four equal quarterly payments. Part of the amortization schedule for this debt is shown below.

Determine the total amount Jason paid for the car.

(A)

$1 563.28

(B)

$1 586.08

(C)

$1 600.00

(D)

$1 603.81

Question 10.

The spreadsheet below was designed for an auto repair shop.

A formula that could be used to do the calculation for the amount in cell D10 is

(A)

= SUM(C2...C9)

(B)

= SUM(D2...D9)

(C)

= SUM(A2...A9) * SUM(C2...C9)

(D)

= AVG(A2...A9) * AVG(C2...C9)

Question 11.

Which description best defines the sequence −1, −2, −4, −8, −16, −32, ... ?

(A)

static

(B)

divergent

(C)

alternating

(D)

convergent

Question 12.

5. An infinite sequence of numbers is created by the following process:

t1 = 16

tn = \(1\over 4\) tn - 1 , n > 1

If the process is continued forever, what is the sum of the infinite sequence?

(A)

\(16\over 5\)

(B)

\(16\over 3\)

(C)

\(64\over 5\)

(D)

\(64\over 3\)

Question 13.

Which of the following represents the graph of y \(\geq\) \(1\over 2\)x - 3?

(A)

(B)

(C)

(D)

Question 14.

A linear programming problem requires that the value of N is maximized, where N = 3x + 5. Which of the indicated vertices of the feasible region below maximizes N ?

 

(A)

P

(B)

Q

(C)

R

(D)

S

Question 15.

Which term best describes the kind of function graphed below?

(A)

power function

(B)

reciprocal function

(C)

logarithmic function

(D)

exponential function

Question 16.

Determine the zeros (x-intercepts) of the function f(x) = \(1\over 10\)( 2x3 - 3x2 - 2x + 3).

(A)

0.3

(B)

-1, 1.5

(C)

-1, 1

(D)

-1, 1, 1.5

Question 17.

Given the following data table:

If the data is modelled by an exponential function, what will the displacement be at 2.4 seconds?

(A)

13.97

(B)

14.74

(C)

15.53

(D)

17.51

Question 18.

Determine the period of the function y = 2sin3(πx).

(A)

\(2\over 3\)

(B)

\(3\over 2\)

(C)

\(2\pi \over 3\)

(D)

3\(\pi\)

Question 19.

What is a possible equation for the cosine function graphed below?

(A)

y = 2cos(\(2\pi \over e\)x)

(B)

y = -2cos(\(2\pi \over e\)x)

(C)

y = 2cos(\(2\pi \over f\)x)

(D)

y = -2cos(\(2\pi \over f\)x)

Question 20.

In the diagram below, O is the centre of the circle. Determine the measure of angle x, in degrees.

(A)

30º

(B)

40º

(C)

50º

(D)

60º

Question 21.

Find the measure of angle θ in the diagram below.

(A)

30º

(B)

40º

(C)

45º

(D)

60º

Question 22.

The diagram below shows a cross-sectional view of an earth-filled dam.

If ∠ABD = 125°, ∠BDE = 140° and ∠DEC = 120°, determine the measure of ∠ECG.

(A)

120º

(B)

125º

(C)

135º

(D)

140º

Question 23.

In the diagram below, ABCD is a square and ∆BCE is equilateral. Find the measure of ∠AFC.

(A)

75º

(B)

100º

(C)

105º

(D)

120º

Question 24.

A cube has a total surface area of 120 cm2 . What is the length of the diagonal AB of the cube?

(A)

5.48 cm

(B)

6.32 cm

(C)

6.97 cm

(D)

7.75 cm

Question 25.

In the diagram below, R, S, T, U are points on the circle with RS = RU = UT and SU = ST. Find the measure of ∠UST.

(A)

31º

(B)

35º

(C)

36º

(D)

40º

Question 26.

A sphere is inscribed in the smallest right circular cylinder that can contain it. What is the ratio of the volume of the sphere to the volume of the cylinder?

(A)

2:3

(B)

3:2

(C)

3:4

(D)

4:3

Question 27.

Which of the following is an example of discrete data?

(A)

The number of litres of pop in a truckload.

(B)

The number of bottles of pop in a truckload

(C)

The number of kilograms of pop in a truckload.

(D)

The number of kilometres the truck has travelled.

Question 28.

The graph below shows the three summary points used to find the equation of the median-median line for a data set collected in a reforestation project.

Find the equation of this median-median line.

(A)

y = 5x +1

(B)

y = 5x + 3

(C)

y = 5x + 5

(D)

y = 5x + 7

Question 29.

A set of data (x , y) is outlined below. What value of k would yield a linear correlation coefficient r = −1 ?

(A)

-29

(B)

12

(C)

14

(D)

20

Question 30.

Which of the following numbers cannot represent the probability of an event occurring?

(A)

-\(1\over 2\)

(B)

0

(C)

\(1\over 2\)

(D)

1

Question 31.

For a certain casino game the probability of winning is \(12\over 25\). The game is played 60 times and this situation is modelled with a binomial random variable. Determine the standard deviation for the number of wins.

(A)

3.87

(B)

5.36

(C)

14.48

(D)

28.80

Question 32.

In the Chilliwack river, records show that for any day in January, the probability that a fish caught will be a trout is \(1\over 5\) and the probability that it will be a steelhead is \(1\over 10\) . What is the probability that a fish caught will be either a trout or a steelhead?

(A)

\(1\over 50\)

(B)

\(2\over 15\)

(C)

\(7\over 25\)

(D)

\(3\over 10\)

Question 33.

Twelve cards each have one letter of the word APPLICATIONS on them. If a card is drawn, what is the probability that it will show the letter I or the letter P ?

(A)

\(1\over 3\)

(B)

\(1\over 4\)

(C)

\(1\over 6\)

(D)

\(1\over 36\)

Question 34.

The table below gives the heights of 100 students in a secondary school.

Determine the mean height of this group, to the nearest cm.

(A)

175

(B)

176

(C)

177

(D)

178

Question 35.

A 15 member school basketball team holds occasional draws for tickets to the Grizzlies. Three different players have already won tickets in previous draws. If two names are selected at random from the team roster, what is the probability that both selected are not previous winners?

(A)

\(16\over 25\)

(B)

\(22\over 35\)

(C)

\(34\over 35\)

(D)

\(44\over 75\)

Question 36.

A batter averages 3 hits for every 10 times at bat. What is the probability that she will get exactly 3 hits in her next 8 times at bat?

(A)

0.1125

(B)

0.2400

(C)

0.2541

(D)

0.3375

Question 37.

Determine the number of 7-digit palindromic phone numbers that can be created if the only restriction is that 0 cannot appear as the first or third digit.

(A)

810 

(B)

8 100

(C)

 9 000 

(D)

8 100 000

Question 38.

A figure-8 race track measures 180 cm across at its longest section, AB. What is the radius, r, of the figure-8 track if the tracks intersect at 60° ?

(A)

22.5

(B)

30

(C)

36

(D)

45

Question 39.

Sally sails from her island home by sailing 2 km north, 4 km east, 6 km south, 8 km west, 10 km north, and continues in this same way, increasing the number of km by 2 every time she turns right. How many km is Sally from home when she starts her 2nd turn east?

(A)

10

(B)

\(\sqrt30\)

(C)

\(\sqrt{42}\)

(D)

\(\sqrt{52}\)

Question 40.

Which of the following is an equation that describes the relationship between l and w ?

(A)

3l + 4w = 60

(B)

4l + 3w = 60

(C)

3l − 4w = 60 

(D)

4l − 3w = 60

Question 1    Question 2    Question 3    Question 4    Question 5    Question 6    Question 7    Question 8    Question 9    Question 10    Question 11    Question 12    Question 13    Question 14    Question 15    Question 16    Question 17    Question 18    Question 19    Question 20    Question 21    Question 22    Question 23    Question 24    Question 25    Question 26    Question 27    Question 28    Question 29    Question 30    Question 31    Question 32    Question 33    Question 34    Question 35    Question 36    Question 37    Question 38    Question 39    Question 40   
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