Free Printable M9 T3 FINAL PRACTICE

1.

Simplify the following: a³ x a⁵

a)

a⁵

b)

a¹⁵

c)

a⁸

d)

1

2.

Simplify the following: w⁰ x w⁰

a)

w¹

b)

1

c)

0

3.

Simplify: $\frac{a^5b^{10}}{a^3b^3}$

a)

$a^8b^{13}$

b)

$a^2b^7$

c)

$a^{15}b^{30}$

4.

(10³)⁶

a)

10¹⁸

b)

30⁶

c)

10⁹

d)

30³

5.

(4a)²=

a)

4a²

b)

16a²

c)

8a²

d)

8a

6.

$4x^3\times2x^4=$

a)

$8x^{12}$

b)

$8x^7$

c)

$6x^7$

d)

$6x^{12}$

7.

$Simplify\ \ \ \left(\frac{x^4}{y^5}\right)^3$

a)

$\frac{x^7}{y^8}$

b)

$\frac{x^{12}}{y^{10}}$

c)

$\frac{x^{15}}{y^{12}}$

d)

$\frac{x^{12}}{y^{15}}$

8.

$Simplify\ \left(5x^4y^6\right)^3$

a)

$5x^{12}y^{18}$

b)

$125x^{12}y^{18}$

c)

$5x^7y^9$

d)

$125x^7y^9$

9.

Finish the index law: $a^m\times a^n=$

a)

$a^{m+n}$

b)

$a^{m\times n}$

c)

$a^{m-n}$

10.

Finish the index law: $\frac{a^m}{a^{n\ }}=$

a)

$a^{m+n}$

b)

$a^{m\times n}$

c)

$a^{m-n}$

11.

Finish the index law: $\left(a^m\right)^n=$

a)

$a^{m+n}$

b)

$a^{m\times n}$

c)

$a^{m-n}$

12.

What is the base of the following: $8^6$

(a)

13.

What is the index of the following: $4^6$

(a)

14.

Simplify the following expression: $\frac{11^7}{11^4}=$

a)

$11^{-3}$

b)

$11^{11}$

c)

$11^3$

d)

$11^{28}$

15.

Simplify the following expression: $2^6\times2^8=$

a)

$2^2$

b)

$2^{-2}$

c)

$2^{14}$

d)

$2^{48}$

16.

$\left(3x^2y^{-1}\right)^3=$

a)

$\frac{3x^6}{y^3}$

b)

$\frac{27x^6}{y^{-3}}$

c)

$3x^6y^{-3}$

d)

$\frac{27x^6}{y^3}$

17.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

18.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

19.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

20.

125,678,000: Change to scientific notation

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

21.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

22.

Which number is correctly written in scientific notation?

a)

8.2 x 10²

b)

82 x 10⁷

c)

3.45 x 9⁴

23.

Which number is correctly written in scientific notation?

a)

5.67 x 10⁵

b)

56.7 x 10³

c)

0.567 x 10⁶

24.

125,678,000: Change to scientific notation

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

25.

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

26.

(5 x 10⁶)(5 x 10⁷)

a)

2.5 x 10¹²

b)

2.5 x 10¹⁴

c)

25 x 10¹²

d)

25 x 10¹³

27.

5 x 10¹²
------------
2 x 10⁶

a)

2.5 x 10²

b)

2.5 x 10⁶

c)

3 x 10²

d)

2.5 x 10¹⁸

28.

Which is the smallest?
1.3 x 10²⁰2.9 x 10²¹9.5 x 10³²8.4 x 10¹⁹

a)

1.3 x 10²⁰

b)

2.9 x 10²¹

c)

9.5 x 10³²

d)

8.4 x 10¹⁹

29.

Which binomial is a difference of two squares?

a)

36x² - 19

b)

81a² - 100

c)

25m² - 2

d)

x² - 3y²

30.

Determine which trinomial is a perfect square trinomial

a)

x² - 7x + 6

b)

a² + 6a + 8

c)

m² + 6m + 9

d)

y² - 8x + 15

31.

To apply difference of squares

a)

The expression must be a binomlia

b)

The expression must be a subtraction

c)

You must be able to find the square root of both terms

d)

All of them

32.

Factor p²-15p -54

a)

(p+18)(p+3)

b)

(p -18)(p+3)

c)

(p - 27)(p+2)

d)

(p-9)(p+6)

33.

4=2r-10

a)

7

b)

15

c)

14

d)

9

34.

297=7(8x-6)+3

a)

13

b)

12

c)

6

d)

10

35.

What is the first step to solve this equation:
-11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

36.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

37.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

38.

Solve 9 + 3x = 10

a)

2/3

b)

1/3

c)

-1/3

d)

4

39.

Solve for x.

a)

x = 21

b)

x = 7

c)

x = −21

d)

x = 4

40.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

41.

Solve.
30a - 24 = 5a + 26

a)

1

b)

2

c)

1.3

d)

none of these

42.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

43.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

44.

Solve:
5y+34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

45.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

46.

Determine the length of the side CD

a)

9

b)

10

c)

12

d)

13

47.

Find the side QR with the given information

a)

26 cm

b)

24 cm

c)

16 cm

d)

10 cm

48.

∆PQR is an isosceles triangle.

Side PQ = QR = 13 cm and QT = 12 cm.

Find PR

a)

7 cm

b)

10 cm

c)

14 cm

d)

20 cm

49.

Find the perimeterof the figure ABCDE in cm

a)

56

b)

59

c)

72

d)

75

50.

Find the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

51.

Identify the hypotenuse.

a)

x

b)

z

c)

w

52.

a)

11

b)

12

c)

9.8

d)

11.5

53.

Calculate

a)

18.7 m

b)

18 m

c)

22 m

d)

17.6 m

54.

What is the Perimeter of this Composite Figure?

a)

44 cm

b)

42 cm

c)

35 cm

d)

41 cm

55.

What is the Perimeter of the Rectangle on the Inside?

a)

150 m

b)

62 m

c)

23 m

d)

70 m

56.

What is the area of this trapezoid?

a)

4.5 cm²

b)

6.5 cm²

c)

6.8 cm²

d)

9 cm²

57.

What is the area of this parallelogram?

a)

38 m²

b)

56 m²

c)

77 m²

d)

88 m²

58.

What is the area?

a)

8 square units

b)

12 square units

c)

16 square units

d)

7 square units

59.

Jose made the following composite shape using a rectangle and a trapezoid. What is the total area of the composite shape?

a)

64 ft²

b)

88 ft²

c)

110.4 ft²

d)

76 ft²

60.

Determine the area of the composite figure shown below.

a)

168 centimeters squared

b)

98 centimeters squared

c)

84 centimeters squared

d)

70 centimeters

61.

What is the area of the shaded region?

a)

4 cm²

b)

16 cm²

c)

8 cm²

d)

12 cm²

62.

What is the area of the shaded region?

a)

14 m²

b)

120 m²

c)

106 m²

d)

134 m²

63.

What is the area of the shaded region?

a)

19.8 cm2

b)

25.16 cm2

c)

32.6 cm2

d)

14.96 cm2

64.

The arrow shown is on a sign. What is the area of the arrow?

a)

17 in2

b)

40 in2

c)

52 in2

d)

61 in2

65.

A logo is designed that has four pink circles within a white square.The square has side length 16cm.

Find the area of the logo that is white.

a)

$155cm^2$

b)

$55m^2$

c)

$54.9cm^2$

66.

Shown is a circular photo surrounded by a frame.

The photo has radius 12cm.

The frame has width 4cm.

Work out area of the frame.

This area is shaded in the diagram.

a)

$351.86m^2$

b)

$351.86cm^2$

c)

$402.12cm^2$

67.

Find the area of the shape. Round your answer to the nearest tenth if necessary.

a)

3.3 square meters

b)

2.7 square meters

c)

4.5 square meters

d)

5.1 square meters

68.

Find the area of the shaded region

a)

13.34 cm²

b)

10.32 cm²

c)

31.15 cm²

d)

27.13 cm²

69.

What is the area of the darkened part of the shape?

a)

72.37 in²

b)

41.18 in²

c)

31.74 in²

d)

21.07 in²

e)

28.92 in²

70.

What is the total volume of this figure?

a)

60

b)

100

c)

120

d)

300

71.

Find the volume.

a)

80 cubic cm

b)

108 cubic cm

c)

28 cubic cm

d)

145 cubic cm

72.

Find the volume of this triangular prism.

a)

1440 cm³

b)

60 cm³

c)

720 cm³

d)

180 cm³

73.

What is the volume of both shapes?

a)

150 cm³

b)

65 cm³

c)

300 cm³

d)

225 cm³

74.

Both rectangular prisms shown are identical (the same). What is the volume of the composite figure?

a)

225

b)

400

c)

450

d)

350

75.

How many Faces does a Triangular Prism have?

a)

3

b)

6

c)

9

d)

5

76.

What is the surface area of this prism?

a)

160 cm²

b)

80 cm²

c)

100 cm²

d)

150 cm²

77.

When finding Surface Area which type of units could be on the end of your answer?

a)

mm

b)

cm²

c)

in³

d)

ft⁴

e)

minion⁸

78.

What is Volume?

a)

The space that is occupied by a two dimensional shape

b)

The distance around a two dimensional shape

c)

Area of all surfaces that make up a three dimensional figure

d)

How much space an object has

79.

What is the volume of the non-shaded region? Use 3.14 for π and round to the nearest hundredth.

a)

$2,034.72\ in^3$

b)

$678.24\ in^3$

c)

$1,356.48\ in^3$

d)

$2,712.96\ in^3$

80.

What is the volume of this rectangular pyramid?

a)

364 cm³

b)

1092 cm³

c)

546 cm³

d)

182 cm³

81.

Tell whether each of the following statements describes the shape. Select all that apply.

a)

This figure has triangular faces.

b)

This figure has rectangular faces.

c)

This figure is a pyramid.

d)

This figure is a prism.

e)

The base of this figure is a triangle.

82.

Select all of the nets that can be folded and assembled into a triangular prism like this one.

a)

b)

c)

d)

83.

What is the total surface area of the cylinder to the nearest square inch?

a)

625 in²

b)

1300 in²

c)

1046 in²

d)

414 in²

84.

Calculate the composite surface area of the figure.

a)

243.172 cm²

b)

216 cm²

c)

39.74 cm²

d)

255.74 cm²

85.

Calculate the composite surface area of the figure.

a)

4605.38 cm²

b)

4541.76 cm²

c)

593.76 cm²

d)

4919.76 cm²

86.

Calculate the composite surface area of the square pyramid on top of the square prism.

a)

8160 cm²

b)

2400 cm²

c)

3456 cm²

d)

2304 cm²

87.

Calculate the composite surface area of the figure.

a)

414.69 in²

b)

226.195 in²

c)

188.496 in²

d)

640.885 in²

88.

Rolling an odd number and rolling an even number on a normal six-sided die are

a)

Mutually exclusive

b)

Not mutually exclusive

89.

Rolling a prime number and rolling an even number on a normal six-sided die are

a)

Mutually exclusive

b)

Not mutually exclusive

90.

There are 12 red roses, 5 yellow roses and 3 white roses in a vase. Felix takes a rose, at random, from the vase.

What is the probability of him not choosing a red rose?

a)

$\frac{12}{20}$

b)

$\frac{8}{20}$

c)

$\frac{8}{12}$

d)

$\frac{5}{12}$

91.

Leon throws a biased coin. The probability of getting tails is 0.4.

Work out the probability of getting heads.

a)

0.4

b)

0.6

c)

0.8

d)

0.2

92.

There are only Pink, Yellow, Green and Blue counters in a bag. The table shows the probability of picking each colour.

What is the probability of picking a Yellow counter?

a)

0.8

b)

0.2

c)

0.7

d)

0.3

93.

Given events such that P(A) = 0.4, P(B) = 0.1, and P(A or B) = 0.5. Are events A and B mutually exclusive or not?

a)

Mutually Exclusive

b)

Not Mutually Exclusive

94.

Given events such that P(A) = 0.25, P(B) = 0.24, and P(A or B) = 0.56. Are events A and B mutually exclusive or not?

a)

Mutually Exclusive

b)

Not Mutually Exclusive

95.

If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?

a)

13/52

b)

26/52

c)

39/52

d)

Not possible

96.

If you roll one die, what is the probability of getting an odd number or a 4?

a)

2/3

b)

1/3

c)

1/2

d)

1/6

97.

If you roll one die, what is the probability of getting an even number or a multiple of 3?

a)

1/3

b)

2/3

c)

1/2

d)

1/6

98.

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble?

a)

8/15

b)

6/11

c)

3/4

d)

2/3

99.

What does it mean for two events to be independent of each other?

a)

What happens in the second event depends on what happens in the first.

b)

The result of the first event has no effect on the result of the next event.

100.

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

a)

Yes

b)

No

101.

If you choose from the following M & M colors, what is the probability that you choose blue? (Simplify your answer)

5 green

6 yellow

8 blue

7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

102.

What is the probability of the arrow stopping on “X” on the first spin and “F” on the second spin?

a)

5/6

b)

1/36

c)

1/3

d)

1/6

103.

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B. P(green, black)

a)

3/20

b)

1/4

c)

3/31

d)

2/27

104.

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

a)

1/3

b)

1/2

c)

1/6

d)

1/4

105.

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

a)

1/4

b)

2/3

c)

3/10

d)

3/5

106.

In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?

a)

1/2

b)

4/11

c)

1/10

d)

2/3

M9 T3 FINAL PRACTICE

Total questions: 106

Worksheet time: 5hrs 11mins

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