Free Printable Georgia Milestones 8th Grade Math Review

1.

Triangle RST has vertices R(1, 1), S(1, 4), and T(3, 1). Graph the figure and its rotated image after a counterclockwise rotation of 180° about the origin. What are the coordinates of Tʹ?

a)

(-3, -1)

b)

(-3,-2)

c)

(5,2)

d)

(5,4)

2.

Which algebraic rule will produce a translation that is 5 units to the right?

a)

(x, y) --> ( x , y + 5)

b)

(x, y) --> ( x-5 , y + 5)

c)

(x, y) --> ( x-2 , y + 5)

d)

(x, y) --> ( x+5 , y)

3.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

4.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

5.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

6.

Translation are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

7.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

8.

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

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

9.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

10.

Point (7,2) is translated vertically 2 units and horizontally -5 units. Where is the new point located?

a)

(9,-3)

b)

(2,4)

c)

(2,0)

d)

12,4)

11.

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)

12.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

13.

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)

14.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

15.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

16.

Which of the following numbers is rational?

a)

√8

b)

√16

c)

√50

d)

√75

17.

A decimal that stops (like 2.48) is which type of number?

a)

Rational

b)

Irrational

18.

A repeating decimal (like 4.7777...) is what type of number?

a)

Rational

b)

Irrational

19.

A non-ending, non-repeating decimal is which type of number?

a)

Rational

b)

Irrational

20.

-17.5

a)

Rational

b)

Irrational

21.

Order 3π, √ 10 , and 3.25 from least to greatest.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

22.

Order 3π, √ 10 , and 3.25 from least to greatest.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

23.

Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]

a)

-1, -5, 0, 1, 3, 10, 16

b)

16, 10, 3, 1, 0, -1, -5

c)

-5, -1, 0, 1, 3, 10, 16

d)

0, -1, 1, 3, -5, 10, 16

24.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

25.

a)

2/3

b)

-2/3

c)

3/5

d)

-3/5

26.

Round to the Nearest Tenth: √28

a)

5.6

b)

5.9

c)

5.3

d)

8

27.

Find the best estimate for √18 .
Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

28.

The √40 is between which two consecutive whole numbers?

a)

7 & 8

b)

4 & 5

c)

5 & 6

d)

6 & 7

29.

Which is the best estimate of the square root of 63?

a)

7.1

b)

7.3

c)

7.5

d)

7.9

30.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

31.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

32.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

33.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

34.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

35.

Side a on a right triangle is ALWAYS the longest side.

a)

true

b)

false

36.

you ADD a² and c² then take the square root to find b on a right triangle.

a)

true

b)

false

37.

you ADD a² and b² then take the square root to find c on a right triangle.

a)

true

b)

false

38.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

39.

Which of the following sentences would belong in the proof that describes this image?

a)

The sum of the areas of the two smaller squares is equal to the area of the large square.

b)

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

c)

The difference of the areas of the two smaller squares is equal to the area of the large square.

d)

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

40.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

41.

Calculate the Volume

a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

42.

Find the volume

a)

1120 ft2

b)

2011 ft2

c)

120 ft3

d)

1120 ft3

43.

A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.

a)

5221.5

b)

1255.5

c)

2229.5

d)

2119.5 cm

44.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

45.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

127.3 yd³

b)

347.6 yd³

c)

287.7 yd³

d)

147.7 yd³

46.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

47.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

48.

Find the volume of the 3Dimensional shape

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

49.

Solve the following system by graphing. What is the solution?

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

50.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

51.

Solve the following system by graphing. What is the solution?

a)

(-4, 2)

b)

(4, 2)

c)

(2, -4)

d)

(2, 4)

52.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

53.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

54.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

55.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

56.

Solve for x and y
5x + 3y = 7
y = 4

a)

(4,1)

b)

(4,-1)

c)

(1,4)

d)

(-1,4)

57.

Solve for x and y
2x − 3y = −1
y = x − 1

a)

(-2,-3)

b)

(0,-1)

c)

(3,4)

d)

(4,3)

58.

What type of correlation does this graph have?

a)

Negative

b)

no association

c)

positive

59.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

60.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 12 absences should get approximately what score on the final exam?

a)

60

b)

92

c)

70

d)

76

61.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

62.

Describe the correlation in the graph shown.

a)

Strong Negative

b)

Strong Positive

c)

Weak Negative

d)

Weak Positive

63.

Write an equation for the given scatter plot.

a)

y=2x+8

b)

y=1x

c)

8x-4y=10

d)

y=7

64.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?

a)

85

b)

92

c)

70

d)

76

65.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 19 chapters.

a)

150 pages

b)

170 pages

c)

190 pages

d)

210 pages

66.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?

a)

65

b)

92

c)

70

d)

76

67.

What is the algebraic equation for this table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

68.

What is the algebraic equation for this table?

a)

y = 480x

b)

x = y/480

c)

x + 480 = y

d)

480 - x = y

69.

Is function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

70.

Which function is linear?

a)

y = 2x + 4

b)

y = 2x² + 4

c)

y = 2x(4 − 3x)

d)

xy = 15

Georgia Milestones 8th Grade Math Review

Total questions: 70

Worksheet time: 2hrs 58mins

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