MFM2P Mastery Test 6 Review Thursday November 24, 2012

MFM2P Mastery Test 6 Review Thursday November 24, 2012

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____1.Evaluate -3 + (-7)

a. / -4 / b. / 4 / c. / -10 / d. / 10

____2.Evaluate +12 ÷ (-4)

a. / 8 / b. / -8 / c. / 3 / d. / -3

____3.The fraction of the whole rectangle shaded below (in lowest terms) is

a. / / b. / / c. / / d. /

____4.The number marked on the number line is

a. / / b. / 2.1 / c. / / d. /

____5.

a. / / b. / / c. / / d. /

____6.Express 23.1 as a percentage.

a. / 0.231% / b. / 2310% / c. / 231% / d. / 0.0231%

____7.Calculate 10% of 600.

a. / 0.6 / b. / 6000 / c. / 60 / d. / 600

____8.30% of _____ is 120.

a. / 25 / b. / 36 / c. / 40 / d. / 400

____9.Line segments with slopes 2, 1, , 0, -, -1, -2, and undefined are shown. The line segments with slopes and 0 are:

a. / d and e / b. / a and e / c. / d and c / d. / a and c

____10.The graph of y = x - 4 is

a. / Line 1 / b. / Line 2 / c. / Line 3 / d. / Line 4 / e. / Line 5

____11.A line has y-intercept -4 and has slope 3. What are the coordinates of another point on the line?

a. / (-3,-1) / b. / (0,0) / c. / (-3,3) / d. / (2,2)

____12.If , then x =

a. / 5 / b. / 3 / c. / 4 / d. / 6

____13.Reduce 80:40 to lowest terms

a. / 4:3 / b. / 2:1 / c. / 3:4 / d. / 1:2

____14.Reduce to lowest terms

a. / / b. / 4 / c. / / d. /

____15.If x:7 = 12:21 then x =

a. / 3 / b. / 4 / c. / 48 / d. / 27

____16.If then x =

a. / 6 / b. / 12 / c. / 2 / d. / 24

____17.A taxi charged $28 for a 7 km drive. At the same rate, how far will they drive you if the charge is $60?

a. / 15 km / b. / 16 km / c. / 18 km / d. / 20 km

____18.Chris drew a scale drawing from a picture in the book. What scale was used?

Original Scale drawing

a. / 1:1.25 / b. / 1.25:1 / c. / 1.33:1 / d. / 1:1.33

____19.Jamie drew a scale drawing from a picture in the book using the scale 1:1.6. Which is Jamie’s drawing?

Original:

Possible Scale Drawings:

a. / / b. / / c. /

____20.If 1 apple costs 25 cents, 5 apples should cost

a. / $1.50 / b. / $2.00 / c. / $1.25 / d. / $1.75

____21.

a. / / b. / / c. / / d. /

____22.

a. / / b. / / c. / / d. /

____23.In the diagram, sin E =

a. / / b. / / c. / / d. /

____24.In the diagram, cos U =

a. / / b. / / c. / / d. /

____25.If  is an angle in a right triangle, and cos  = 0.346, then  is approximately

a. / 0.353 / b. / 20.2 / c. / 69.8 / d. / 0.006

____26.cos 62 is approximately

a. / 0.6735 / b. / 0.4695 / c. / 0.5317 / d. / 0.8829

____27.Which trigonometric ratio of angle S is easiest to determine x in the following diagram?

a. / sin S / b. / cos S / c. / tan S

____28.State the slope of the staircase shown.

a. / 3 / b. / / c. / / d. /

____29.State the slope of the line shown.

a. / / b. / / c. / / d. /

____30.Select the table below for which the differences column has been completed correctly.

a. / / b. / / c. / / d. /

MFM2P Mastery Test 6 Review Thursday November 24, 2012

Answer Section

MULTIPLE CHOICE

1.ANS:C

-3 + (-7)

= -10

PTS:1

2.ANS:D

+12 ÷ (-4) A positive divided by a negative is negative, so the answer is -3.

PTS:1

3.ANS:C

The unshaded area is a 4 by 4 rectangle with 16 squares, so the shaded part must be 32 out of 48 squares. If this is reduced, we get .

PTS:1

4.ANS:D

There are 3 marks on the number line between each unit, so each one is . The number marked is 1 space to the right of 2, so it is or . It is 7 spaces to the right of 0.

PTS:1

5.ANS:C

To multiply fractions, just multiply the numerators and denominators to get .

PTS:1

6.ANS:B

23.1 means or . Therefore, 23.1 is 2310%. Another way to do this is to use the fact that 100% is the same as the number 1. We know that if we multiply a number by 1 we don't change its value, so 23.1 = 23.1 100%. Multiplying the 23.1 by the 100 we get 2310% (the decimal place moves 2 units to the right when you multiply by 100).

PTS:1

7.ANS:C

Remember that "of" can be translated as multiplication.

10% of 600

Another way to do this is to note that 1% means 1 out of 100. So, 1% of 600 is 6. 10% of 600 is 10 6 = 60.

PTS:1

8.ANS:D

If 30% of the unknown number is 120, then 10% of the number would be 40 (divide both parts by 3). This means that 100% of the number is 400 (multiply both parts by 10), and 100% of the number IS the number! The number is 400.

This question is equivalent to 30 out of 100 is the same as 120 out of _____. 30 out of 100 is the same as 120 out of 400 (multiplying both by 4).

PTS:1

9.ANS:C

For a slope of , the only line segments with positive slope are b, d, and h (go up to the right), and of these d is least steep. For a slope of 0, the rise is 0 (so that slope would be 0 ÷ some number which is 0), so the only choice is c. Another way to think about this one is that we know its either c or e, but c has slope 0 - think flat ski hill...

PTS:1

10.ANS:E

We know the x-intercept is 4 (if we let y=0, we get x=4) and the y-intercept is -4 (if we let x=0, we get y=-4), so it must be Line 5.

We also could have solved for y and used slope and y-intercept to identify the line.

PTS:1

11.ANS:D

A slope of 3 means that if we move 1 unit right then we move 3 units up to get to another point on the line. If we start at (0,-4) and move 2 units right then we move 6 units up to get to (2,2).

PTS:1

12.ANS:D

Since this is multiple choice, the easiest thing to do might be to just check each of the answers (avoiding the fraction at first!). We discover that x=5 satisfies the equation; i.e., .

Another way is to think .... something divided by 3 is equal to 2. This means that x must be equal to 6.

Of course, an algebraic solution is possible:

PTS:1

13.ANS:B

80:40 We can divide each term by 10 right away

= 8:4 We can divide both by 4.

= 2:1 At this point, no whole number divides evenly into both terms,

so we say it is in ‘lowest terms’.

PTS:1

14.ANS:A

We can divide both numerator and denominator by 2 right away

= Notice that 3 divides into both numbers evenly.

= Notice that 3 divides into both numbers evenly again!

= At this point, no whole number divides evenly into both numbers,

so we say it is in ‘lowest terms’.

PTS:1

15.ANS:B

12:21

= 4:7 Reduce the given ratio by dividing both terms by 3

If x:7 = 4:7, then x must be 4.

PTS:1

16.ANS:B

Multiply the top and bottom of the given ratio (fraction) by 4

to make the denominators the same.

=

If , then x must be 12.

We could also solve the equation by multiplying both sides by 28.

x = 12

but... this seems like a lot more work ....

PTS:1

17.ANS:A

The taxi charged $28 for 7 km. The rate is = $4/km. If they will charge $60, then the distance = = 15 km.

PTS:1

18.ANS:D

The ratio in a scale drawing is drawing: original, so the 2nd term should be the largest (this eliminates two answers).

Measure both heights.

If we divide the larger length by the small length, we get about 1.33, so there is only one choice.

PTS:1

19.ANS:C

The ratio in a scale drawing is drawing: original. Since the 2nd term is largest, the original must be bigger. There are still two possible answers.

If we measure the length of the original and divide it by the length of the smallest bear, we get about 1.6. The length of the original divided by the length of the 2nd smallest bear should be about 1.07.

PTS:1

20.ANS:C

5 apples should cost 5 times $0.25 which is $1.25.

PTS:1

21.ANS:C

The small triangle has sides x and 7 , while the large triangle (similar) has corresponding sides 13 and 24. So... (make sure the corresponding sides ... correspond in the ratios!)

PTS:1

22.ANS:D

The large triangle has sides x and 11 , while the small triangle (similar) has corresponding sides 8 and 9. So... (make sure the corresponding sides ... correspond in the ratios!)

PTS:1

23.ANS:B

Sin E = 7 is opposite angle E, and 25 is the hypotenuse.

=

PTS:1

24.ANS:C

cos U = 15 is adjacent angle U, and 17 is the hypotenuse.

=

PTS:1

25.ANS:C

Make sure the calculator is set to degrees (see MODE), and get cos-1(0.346).

PTS:1

26.ANS:B

Make sure the calculator is set to degrees (see MODE), and get cos(62).

PTS:1

27.ANS:A

x is the opposite side and 17 is the hypotenuse, so we have to use sin S = to find x

PTS:1

28.ANS:A

Slope / =
=
= 3

PTS:1

29.ANS:D

Slope / =
=
=

PTS:1

30.ANS:A

When we go from 5 down to 2, we are dropping 3 (so the entry between them is -3). When we go from 2 to -1, we are dropping 3 (so the entry between them is -3).

Another approach is to know that it is always the second value subtract the first, so the entries are: 2 - 5 = -3 and -1 - 2 = -3

PTS:1