Free Printable Revision Math Yr8 PreTest

1.

What are the prime decomposition factors of 20?

a)

2, 2, 5

b)

2, 2, 4

c)

2, 3, 5

d)

2, 4, 5

2.

What prime numbers can you multiply to get to the top of the factor tree?

a)

3, 4, 2, 2

b)

5, 3, 2, 2

c)

5, 3, 4, 2

d)

12, 4, 2, 2

3.

Which of the following is a correct set of non-prime factors for 80?

a)

2⁴ x 5

b)

20 x 4

c)

2³ x 5²

d)

5² x 2³

4.

What goes in the blank boxes in the factor tree below?

a)

2, 4

b)

4, 5

c)

10, 5

d)

10, 2

5.

What numbers should go in the blank boxes below?

a)

3, 4, 4, 2

b)

3, 8, 4, 2

c)

3, 4, 8, 3

d)

3, 8, 4, 4

6.

64 written in expanded notation is?

a)

2⁵

b)

2⁶

c)

2 x 2 x 2 x 2 x 2 x 2

d)

2 x 2 x 2 x 2 x 2

7.

Write 144 as a product of its primes. Expanded Notation.

a)

5 x 2 x 3 x 3 x 2

b)

3 x 2 x 2 x 2 x 3 x 2

c)

3 x 2 x 5 x 2 x 3 x 2

d)

3 x 2 x 2 x 2 x 5

8.

How do you write 10 x 10 x 10 x 10 x 10 using exponents?

a)

10⁵

b)

10⁶

c)

10³

d)

10⁴

9.

$7^2\times7^3=$

a)

$7^5$

b)

$7^6$

c)

$14\times21$

d)

$49^{2\times3}$

10.

$\left(2^4\right)^3=$

a)

$8^3$

b)

$2^7$

c)

$2^{12}$

d)

$8^{12}$

11.

$2^0-3^0=$

a)

$2-3$

b)

$1-0$

c)

$1-1$

d)

$\left(2-3\right)^0$

12.

$x^{\frac{1}{2}}=$

a)

$\frac{1}{2}x$

b)

$\sqrt{x}$

c)

$\frac{1}{x^2}$

d)

$-x^2$

13.

$\left(-2\right)^4=$

a)

$2$

b)

$8$

c)

$-8$

d)

$16$

14.

What is 2³x2⁴

a)

2⁷

b)

2¹²

15.

What is x⁵÷x

a)

x⁵

b)

x⁴

c)

x³

d)

x²

16.

What is the correct law for multiplication? a^m x aⁿ=

a)

a^m+n

b)

a^m + aⁿ

c)

a^mxn

d)

a^mⁿ

17.

Which answer choice contains ALL like terms?

a)

-4x, 2x, 3x

b)

-4x, 2, 3y

c)

4x², 2x

d)

14, 4x

18.

In the expression below, the 3 is known as the _________________________

3y

a)

coefficient

b)

variable

c)

constant term

19.

Simplify the Expression.
9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

20.

4a + 9 + a

a)

5a + 9

b)

14a

c)

3a + 9

d)

5a - 9

21.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

22.

Simplify: $7y^2\ -5y\ +\ 9y\ -\ 5y^2$

a)

$6y^{2\ }$

b)

$2y^{2\ }+\ 4y\$

c)

$12y^{2\ }+\ 14y$

d)

Can't be simplified

23.

-9(-3 + 5v)

a)

-7 + 49v

b)

27 - 45v

c)

8 - 80v

d)

3 - 80v

24.

Factorize the linear expression: 3x + 6

a)

3(x + 6)

b)

3x - 6

c)

3(x + 2)

d)

3(x - 2)

25.

Expand the linear expression: 2(4x - 5)

a)

10x - 12

b)

6x - 7

c)

3x - 5

d)

8x - 10

26.

Expand the linear expression: 3(2x + 7)

a)

6x + 21

b)

5x + 21

c)

6x + 14

d)

3x + 14

27.

Expand the linear expression: 6(3x - 4)

a)

18x + 24

b)

18x - 24

c)

9x - 24

d)

6x - 4

28.

Expand the linear expression: 5(6x - 3)

a)

5x - 3

b)

30x + 15

c)

30x - 15

d)

11x - 15

29.

Factorize the linear expression: 7x - 14

a)

14(x - 1)

b)

7(x + 2)

c)

7(x - 2)

d)

7x - 2

30.

Expand the linear expression: 2(4x - 5)

a)

10x - 12

b)

6x - 7

c)

3x - 5

d)

8x - 10

31.

Factorize the linear expression: 5x - 10

a)

5(x - 2)

b)

5x + 10

c)

5(x + 2)

d)

5x - 2

32.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

33.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

34.

What is the first step in solving for w in the equation 3w + 5 = 14?

a)

Add 5 to both sides of the equal sign

b)

Divide by 3 on both sides of the equal sign

c)

Subtract 5 from both sides of the equal sign

d)

Multiply by 3 on both sides of the equal sign

35.

What is the first step in solving for w in the equation 3w + 5 = 14?

a)

Add 5 to both sides of the equal sign

b)

Divide by 3 on both sides of the equal sign

c)

Subtract 5 from both sides of the equal sign

d)

Multiply by 3 on both sides of the equal sign

36.

Solve for x:
10 = 3x -12

a)

22/3

b)

2/3

c)

10/9

d)

8

37.

What step would you take to solve this equation?

a)

Multiply both sides of the equation by 2

b)

Divide both sides of the equation by 2

c)

Add 2 to both sides of the equation

d)

Subtract 2 from both sides of the equation

38.

Substitute k= 7 and h = 5 into

$k+h\times3$

a)

22

b)

36

c)

15

d)

21

39.

$y=5x-3$

Find the value of $y$ when $x=9$ .

(a)

40.

Calculate the area of this shape.

(a)

41.

Calculate the area of this shape.

(a)

42.

Calculate the area of this shape.

(a)

43.

Calculate the surface area of this cube.

a)

21

b)

49

c)

294

d)

343

44.

Calculate the surface area of this shape.

a)

30

b)

750

c)

690

d)

1380

45.

Calculate the VOLUME of this prism.

(a)

46.

Calculate the VOLUME of this prism.

(a)

47.

Calculate the VOLUME of this prism.

(a)

48.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

49.

The circumference of a circle is

a)

The measurement from an edge of a circle to another edge.

b)

The measurement around the circle

c)

The measurement from an edge of a circle to another edge going through the center

d)

The measurement from the center of the circle to an edge of the circle

50.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

51.

Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the cookie’s
circumference?

a)

10 in

b)

2.5 in

c)

15.7 in

d)

31.4 in

52.

The radius of a circle is

a)

The measurement from the center of a circle to an edge of the circle.

b)

The measurement around the circle

c)

The measurement from and edge of the circle to another edge through the center

d)

A line perpendicular to the diameter of the circle

53.

A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?

a)

c = 15π

b)

C = 2π15

c)

c = 15/π

d)

c = 15/2π

54.

What is the circumference?

a)

48

b)

96

c)

24

d)

18

55.

What is the circumference?

a)

36

b)

18π

c)

108π

d)

36π

56.

find the area of the circle below.

a)

100 cm

b)

225 cm

c)

9 cm

d)

28.26 cm

57.

Marisa purchases a pot for her father's garden. The diameter of the bottom of the pot is 18 cm. What is the area of the pot's bottom? (Round to the nearest whole number.)

a)

28 cm²

b)

57 cm²

c)

254 cm²

d)

1017 cm²

58.

What is the formula for area of a circle given the radius?

a)

A = πr

b)

A = 2πr

c)

A = πd

d)

A = πr²

59.

Which of the following choices is closest to the area of a circle? (d = 9 cm)

a)

253.34 cm²

b)

63.59 cm²

c)

56.52 cm²

d)

28.26 cm²

60.

What is the area of this circle?

a)

82.13

b)

78.54

c)

314.16

d)

170.12

61.

$\sqrt{256}$

a)

16

b)

-16

c)

16 or -16

62.

square roots of 324

a)

18

b)

-18

c)

18 or -18

63.

a)

I only

b)

II only

c)

III only

d)

None of the above

64.

a)

7.5 cm

b)

9 cm

c)

21 cm

d)

27 cm

65.

a)

$X\ =\ Y\ +\ Z$

b)

$X^2\ =\ Y^2\ +\ Z^2$

c)

$\sqrt{X}\ =\ \sqrt{Y}\ +\ \sqrt{Z}$

d)

$X\ =\ YZ$

66.

a)

32

b)

36

c)

48

d)

72

67.

What does the "B" in the volume formula V = Bh stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

68.

Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of soda are contained in a full can?

a)

12.0

b)

24.0

c)

75.4

d)

18.8

69.

Which label would NOT be appropriate for volume.

a)

square miles

b)

inches³

c)

cm³

d)

cubic feet

70.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

16.4 cm³

b)

31.7 cm³

c)

31.4 cm³

d)

22.0 cm³

71.

Y varies directly as x. If y = 12 when x = 15, what is y when x = 20?

a)

4/5

b)

17

c)

16

d)

25

72.

n varies directly with c. If c = 24 when n = 18, what is c when n = 22?

a)

88/3

b)

28

c)

66/4

d)

24

73.

Which equation exhibits a direct proportion?

a)

y = 5x - 2

b)

y = 3/4 x

c)

y - x = 4

d)

x = 6

74.

a)

42

b)

7

c)

3

d)

38

75.

a)

35

b)

5

c)

45

d)

49

76.

Describe the motion in the graph:

a)

Constant Speed (positive slope)

b)

Stopped (at rest)

c)

Acceleration (increasing speed)

d)

Return Home (negative slope)

77.

Describe the motion in the graph:

a)

Constant Speed (positive slope)

b)

Stopped (at rest)

c)

Acceleration (increasing speed)

d)

Return Home (negative slope)

78.

Describe the motion in the graph:

a)

Constant Speed (positive slope)

b)

Stopped (at rest)

c)

Acceleration (increasing speed)

d)

Return Home (negative slope)

79.

Describe the motion in the graph:

a)

Constant Speed (positive slope)

b)

Stopped (at rest)

c)

Acceleration (increasing speed)

d)

Return Home (negative slope)

80.

The graph shows the distance a student walks down a hall over time. During which time interval was the student moving the fastest?

a)

A

b)

B

c)

C

d)

D

81.

A climber is scaling a rock face. Two hours after starting his climb, he is at an altitude of 400 feet. After six hours, he is at an altitude of 700 feet. What is his average rate of change?

a)

200 ft/hr

b)

150 ft/hr

c)

300 ft/hr

d)

75 ft/hr

82.

A balloon was 10 feet off the ground when it was the child who was holding it let it go. 5 seconds after that, the balloon was 20 feet off the ground. What was the balloon's rate of ascent?

a)

10 feet per second

b)

5 feet per second

c)

2 feet per second

d)

6 feet per second

83.

Michael started a savings account. 4 weeks after starting this account, he had $300 dollars in it, and after 9 weeks, he had $400. What was the rate of change of money in his savings account over this time?

a)

$20/week

b)

$140/week

c)

$50/week

d)

$7.69/week

84.

Frank worked from 8:00 AM until 5:00 PM and made $80. What was his hourly rate of pay?

a)

$8.89 per hour

b)

$16 per hour

c)

$10 per hour

d)

$11.25 an hour

85.

_____________ is a Greek letter that means "change in."

a)

delta

b)

sigma

c)

pi

d)

epsilon

86.

Flipping a figures is a ...

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

87.

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

a)

up 3, left 8

b)

up 9, left 4

c)

down 3, right 8

d)

down 9, right 4

88.

How is Quadrilateral EFGH translated to E'F'G'H'?

a)

6 down

b)

6 down, 1 right

c)

6 down, 3 left

d)

8 down, 1 right

89.

What type of transformation is this?

a)

Reflction

b)

Translation

c)

Dilation

d)

Rotation

90.

What does a translation do to a figure on the coordinate plane?

a)

Rotates it

b)

Flips it

c)

Shrinks it

d)

Slides it

91.

Find the scale factor of the enlargement from A to C

a)

2

b)

0.5

c)

3

d)

4

92.

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

93.

The two rectangles are scale drawings. What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

94.

Find the scale factor of the enlargement from B to F

a)

1/2

b)

3

c)

2

d)

1/4

95.

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)

96.

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

a)

reflection

b)

translation

c)

rotation

d)

dilation

97.

The name of the figure before the rotation is...

a)

Congruent

b)

Preimage

c)

Image

d)

The Before

98.

The image A'B'C' is a rotation of ABC.

a)

True

b)

False

99.

What is the angle of the clockwise rotation?

a)

90°

b)

180°

c)

270°

100.

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)

Revision Math Yr8 PreTest

Total questions: 100

Worksheet time: 3hrs 30mins

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