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Worksheets

9GAM

Total questions: 68

Worksheet time: 15hrs 12mins

Name
Class
Date
1.

Write 2 x 2 x 2 x 2 in index form

a)

23

b)

25

c)

16

d)

24

2.
Write 62 x 63 as a single power
a)
7776
b)
66
c)
65
d)
365
3.
Write 95 ÷ 93 as a single power
a)
92
b)
98
c)
915
4.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
5.
a7×a4÷a5
a)
a7
b)
a6
c)
a4
d)
a11
6.
Simplify 40
a)
1
b)
4
c)
0
7.
Write (47 x 43) ∕  44 as a single power
a)
414
b)
41
c)
48
d)
46
8.
10(f + 5)
a)
10f + 50
b)
f + 50 
c)
10f + 5 
d)
b + c 
9.
5(6 + cd)
a)
30 + 5cd
b)
5 + c 
c)
11 + 5c 
10.
30(g + f)
a)
30g + 30f
b)
30g 
c)
30f
11.

Expand and simplify the following quadratic expression...


(x + 3)(x + 2)

a)

x2 + 5x + 6

b)

x2 + 5x + 5

c)

x2 + 6x + 6

d)

x2 + 6x + 5

12.

Expand and simplify the following quadratic expression...


(x + 3)(x + 8)

a)

x2 + 11x + 24

b)

x2 + 11x + 11

c)

x2 + 24x + 11

d)

x2 + 24x + 24

13.

Expand and simplify the following quadratic expression...


(x - 8)(x + 8)

a)

x2 + 16x - 64

b)

x2 + 16x + 64

c)

x2 - 16x + 64

d)

x2 - 64

14.

Expand and simplify the following quadratic expression...


(x + 2)(x - 2)

a)

x2 - 4

b)

x2 + 4

c)

x2 - 4x - 4

d)

x2 + 4x - 4

15.

Expand and simplify the following quadratic expression...


(x + 4)2

a)

x2 + 16

b)

x2 + 8x + 16

c)

x2 + 4x + 16

d)

x2 + 16x + 8

16.

Substitute x= 3 into the expression 3x+1

a)

3

b)

9

c)

10

d)

7

17.

Pick the thing that we could use as a Variable

a)

12

b)

8

c)

1

d)

k

18.
If a = 6 and b = 7,find the value of 15-a-b.
a)
2
b)
3
c)
4
d)
5
19.

What is the value of x in x + 12 = 17?

a)

2

b)

5

c)

6

d)

3

20.
If x = 3 and y = 1.5, what is the value of the expression 2x + 4y + 3x?
a)
21 
b)
23
c)
27
d)
39
21.
What is the value of the expression 3x + y, if x = 6 and y = 4?
a)
13
b)
18
c)
22
d)
30
22.

Find the scale factor of the enlargement from A to C

a)

2

b)

0.5

c)

3

d)

4

23.

Find the scale factor of the enlargement from A to B

a)

2

b)

0.5

c)

3

d)

4

24.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
25.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
26.

A ratio of 3:1 means 3cm becomes...

a)

3cm

b)

1cm

c)

9cm

d)

12cm

27.

What kind of Dilation will take place when given the Scale Factor of 8/3?

a)

Enlargement

b)

Reduction

28.

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

a)

Enlargement

Scale Factor: 3

Centre: (0,0)

b)

Enlargement

Scale Factor: 1/3

Centre: (0,0)

c)

Enlargement

Scale Factor: -3

Centre: (0,0)

d)

Enlargement

Scale Factor: 1/3

Centre: (3,0)

29.
What is the relationship in this table between the number of tickets(x) to the total cost(y)?
a)
Multiply by 2
b)
Multiply by 54
c)
Multiply by 27
d)
Multiply by 1
30.
Which of these equations represent the table above if the number of tickets represents x and the total cost represents y?
a)
y=2x
b)
y=54x
c)
y=27x
d)
y=x
31.
A statement that two rates or ratios are equivalent is a ______________.
a)
Rate of change
b)
Proportion
c)
Unit Rate
32.
A rate that describes how a quantity changes in relation to another quantity is _________________.
a)
the rate of change
b)
a proportion
c)
a unit rate
33.

x2 + x3 = 80, what is the value of x?

a)

2

b)

3

c)

4

d)

5

34.

x3 - 2x = 115, what is the value of x?

a)

3

b)

5

c)

7

d)

9

35.

x2 + 4x + 7 = 14x - 9, which of the following is a possible value of x?

a)

3

b)

4

c)

6

d)

8

36.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
37.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
38.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
39.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
40.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
41.
What is the area of a circle with a radius of 21 cm?
a)
1384.74 cm2
b)
2142.12 cm2
c)
4348.08 cm2
d)
1289.12 cm2
42.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
43.
Identify the hypotenuse.
a)
x
b)
z
c)
w
44.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
45.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
46.
solve for c
a)
7
b)
9
c)
4
d)
13
47.
To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 
a)
35
b)
22
c)
58
d)
75
48.

A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?

a)

1/5

b)

5/6

c)

1/6

d)

6/5

49.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

50.

A regular 6-sided die is to be rolled once. What is the probability that a number less than or equal to 4 is rolled?

a)

1/2

b)

1/4

c)

5/6

d)

2/3

51.

A coin is to be tossed twice. p(t, t) = ___

a)

1/4

b)

1/2

c)

2

d)

1/8

52.

A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?

a)

1/8

b)

1/2

c)

1

d)

3/8

53.

How many red cards are in a standard deck of cards?

a)

16

b)

20

c)

26

d)

13

54.

One card is randomly picked from a regular deck of cards. What is the theoretical probability that the card picked is a jack?

a)

1/13

b)

1/4

c)

3/16

d)

1/10

55.

a)

2 1/8

b)

2 1/4

c)

4/9

d)

9/4

56.



(a)  

57.



(a)  

58.

Solve:


3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

59.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

60.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = 7

y = 3

b)

x = -7

y = -3

c)

x = 7

y = -3

d)

x = -7

y = 3

61.

Solve:

3x - 4y = 26

2x - 4y = 20

a)

x = 6

y = -2

b)

x = -6

y = -2

c)

x = -6

y = 2

d)

x = 6

y = 2

62.

Solve:

2x + y = 16

4x - y = 2

a)

x = 3

y = 10

b)

x = -3

y = -10

c)

x = -3

y = 10

d)

x = 3

y = -10

63.

Solve:

3x + 2y = 15

7x + 2y = 19

a)

x = 1

y = 6

b)

x = -1

y = 6

c)

x = 1

y = -6

d)

x = -1

y = -6

64.

Solve:

4x - y = 17

7x - y = 32

a)

x = 5

y = 3

b)

x = -5

y = 3

c)

x = 5

y = -3

d)

x = -5

y = -3

65.

Solve:


3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

66.
what is the area of this semicircle ?
d = 8 cm 
a)
100.48 cm2
b)
80 cm2
c)
200.96 cm2
d)
25.12 cm2
67.
What is/are the formula(s) to find the area of a circle?
a)
πr2
b)
2πr
c)
√π
68.

4 lines

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