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Math Final Revision Gr8 (third term)

Total questions: 63

Worksheet time: 4hrs 54mins

Name
Class
Date
1.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
2.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
3.
What is the probability of flipping a coin and getting heads?
a)
1/2
b)
1/3
c)
1/4
d)
Never, Tails never fails.
4.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
5.

A bag contains 5red, 8green and 7 white balls. One ball is drawn at random from the bag. What is the probability of getting a white ball or green ball?

a)

34\frac{3}{4}

b)

35\frac{3}{5}

c)

25\frac{2}{5}

d)

720\frac{7}{20}

6.

Two coins are tossed simultaneously. Find the probability of getting at least one head.

a)


12\frac{1}{2}

b)

14\frac{1}{4}

c)

34\frac{3}{4}

d)

11

7.

A die is thrown once. What is the probability of getting a number greater than 4.

a)

56\frac{5}{6}

b)

16\frac{1}{6}

c)

23\frac{2}{3}

d)


13\frac{1}{3}

8.

Tickets are numbered from 1 to 20 and mixed up, then a ticket is drawn at random. What is the probability that the ticket drawn is a multiple of 3 ?

a)

310\frac{3}{10}

b)

15\frac{1}{5}

c)

14\frac{1}{4}

d)

34\frac{3}{4}

9.

What is the probability of rolling an even number and spinning green?

a)

1/8

b)

1/15

c)

4/8

d)

1/10

10.

What is the probability of flipping the coin and getting heads up, then getting a T from the group of letters.

a)

1/2

b)

1/6

c)

2/6

d)

3/12

11.

A coin is flipped, and 2 standard dice are rolled. How many possible outcomes are there?

a)

72

b)

12

c)

36

d)

58

12.

There are five candidates for the leader and deputy leader role. In how many different ways can these positions be filled out?

a)

1

b)

5

c)

10

d)

20

13.

What are the different possible outcomes for flipping three coins?

a)

HH, HT, TT, TH

b)

H, T

c)

HHH, HHT, HTH, THH, HTT, TTH, THT, TTT

d)

Not possible to answer

14.

A coin is chosen at random from 3 fifty cent coins, 3 one dollar coins, and 2 two dollar coins. What is the probability that the chosen coin is fifty cents?

a)

3

b)

3/8

c)

1/3

d)

50%

15.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
16.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
17.

What is the probability that someone plays basketball?

a)

.50

b)

.68

c)

.52

d)

.46

18.

The venn diagram shows which sports are played by a class of students.

What is the probability of a student playing soccer but not tennis?

a)

9

b)

14

c)

3

d)

3/10

19.

The venn diagram shows which sports are played by a class of students.

What is the probability of a student playing tennis but not soccer?

a)

6

b)

11

c)

1/5

d)

1/6

20.

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

What is the probability of a friend having both brown hair and green eyes?

a)

7/11

b)

5/11

c)

6/11

d)

3/11

21.

How many people ate pepperoni pizza for lunch?

a)

15

b)

21

c)

6

d)

12

22.

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students wear glasses?

a)

2

b)

3

c)

5

23.
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
24.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

25.
The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
a)
{-4, -3, -2, -1, 0, 1, 2, 3}
b)
{-3, -2, -1, 1, 2, 3}
c)
{-4, -3, -2, -1, 1, 2, 3, 4}
d)
{-4, -3, -2, -1, 1, 2, 3}
26.
What is
the correct bearing?
a)
30
b)
330
c)
030
d)
60
27.
What is the bearing of A from B
a)
025
b)
205
c)
25
d)
155
28.

What is
the Bearing
 of A
from B?
a)
45
b)
130
c)
045
d)
135
29.

Write the bearings of A from O

a)

125

b)

055

c)

035

d)

305

30.

Choose the correct bearing of A from O

a)

30

b)

030

c)

300

d)

330

31.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
32.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
33.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
34.
Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.
a)
(-8,5)
b)
(8,-5)
c)
(8,5)
d)
(5,-8)
35.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
36.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
37.
The point ( -2,5) is reflected over the line x = 1.  Find its image.
a)
(  4,  5)
b)
( -2  , -5)
c)
( 2  ,  5)
d)
(2   , -5)
38.
The point ( -2,5) is reflected over the line x = 1.  Find its image.
a)
(  4,  5)
b)
( -2  , -5)
c)
( 2  ,  5)
d)
(2   , -5)
39.

Create a reflection over the line y = x:

(-2, 5) --> ( , )

a)

(2, 5)

b)

(5, -2)

c)

(-5, 2)

d)

(-2, -5)

40.
What is the rule for the following reflection? 
a)
Reflection across      x-axis
b)
Reflection across        y-axis
c)
Reflection across            y = x
d)
Reflection across          y = −x
41.

Create a reflection over the line y = x:

(-2, 5) --> ( , )

a)

(2, 5)

b)

(5, -2)

c)

(-5, 2)

d)

(-2, -5)

42.

What was the line of reflection?

(-8, 11) --> (-11, 8)

a)

x-axis

b)

y-axis

c)

the line y = x

d)

the line y = -x

43.

How is triangle ABC being translated to triangle A'B'C'?

a)

3 up , 8 left

b)

9 down , 4 right

c)

8 down , 4 right

d)

2 up , 3 left

44.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-4, -5)

c)

(4, 4)

d)

(-1, 5)

45.

Identify the transformation vector from ABC to A'B'C'.

a)
b)
c)
d)
46.
The dashed figure is the image of the solid figure.  What is the Algebraic Notation for the Translation?
a)
(x, y) --> (x - 5, y + 4)
b)
(x, y) --> (x + 5, y - 4)
c)
(x, y) --> (x + 4, y + 5)
d)
(x, y) --> (5x, 4y)
47.

What type of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

48.

What type of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

49.

Which picture is an example of a translation?

a)
b)
c)
d)
50.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
51.

Find the scale factor of the enlargement from A to C

a)

2

b)

0.5

c)

3

d)

4

52.

Describe the transformation that takes the blue shape to the pink shape...

a)

Enlargement

Scale Factor: 2

Centre: (0,0)

b)

Enlargement

Scale Factor: 1/2

Centre: (0,0)

c)

Enlargement

Scale Factor: -2

Centre: (0,0)

d)

Enlargement

Scale Factor: -2

Centre: (2,0)

53.

If B is the image of A under an enlargement, which of the following is correct?

a)

Scale factor = 2, Centre = (1,5)

b)

Scale factor = 0.5, Centre = (1,5)

c)

Scale factor = -0.5, Centre = (1,5)

d)

Scale factor = -2, Centre = (1,5)

54.

Which of this 270 rotated variant of A

a)

A

b)

X

c)

Y

d)

Z

55.

What are the coordinates for the center of dilation?

a)

(0, 0)

b)

(-3, -1)

c)

(-12, 6)

d)

(-3, -3)

56.

Solve for side x.

a)

9.7

b)

13

c)

17

d)

19

57.

Solve for the side opposite angle Θ.

a)

14

b)

9.0

c)

11

d)

4.9

58.

Solve for the side adjacent angle Θ.

a)

13

b)

6.0

c)

11

d)

4.9

59.

Solve for the side adjacent angle Θ.

a)

13

b)

6.0

c)

11

d)

4.9

60.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
61.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
62.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
63.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03