Free Printable Georgia Milestones Mega-Review

1.

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?

a)

The volume of Ball 2 is twice the volume of Ball 1.

b)

The volume of Ball 1 is 8 times the volume of Ball 2.

c)

The volume of Ball 1 is twice the volume of Ball 2.

d)

The volume of Ball 2 is 8 times the volume of Ball 1.

2.

The cone of a volcano in Mexico had a height of 410 meters and a diameter of 426 meters. Find the volume using 3.14 instead of Pi.

a)

The formula is V=1/3 *3.14* 426² * 410.

b)

The formula is V=1/3 *3.14* 213² * 410.

c)

The formula is V=4/3 * 3.14*426² * 410.

d)

The formula is V=1/3 *3.14* 426² * 410².

3.

If a cylinder and a cone have the same radius and height, how many cones of water will it take to fill the cylinder?

a)

1

b)

2

c)

3

d)

4

4.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

a)

V = π(9)

b)

V = π(4.5)²(32)

c)

V = π(9)²(32)

d)

V = π(4.5)(32)

5.

When finding the volume of a cylinder, what measurement(s) do we need to plug into our formula?

a)

Height & Radius

b)

Height & Diameter

c)

Radius & Diameter

d)

Height ONLY

6.

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

a)

$\frac{1}{2}\left(3.14\cdot5^2\cdot9\right)$

b)

$2\ \left(3.14\cdot2.5^2\cdot9\right)$

c)

$\frac{1}{2}\left(3.14\cdot2.5^2\cdot9\right)$

d)

$\frac{1}{2}\left(3.14\cdot5^2\cdot4.5\right)$

7.

How much grain could fit in this silo? The volume of the Cylinder part is C and the (whole) Sphere is S

a)

C + S

b)

C + 1/2 S

c)

1/2 C + 1/2 S

d)

C * S^2

8.

Find the volume of the hemisphere

a)

904.3 in³

b)

226.1in³

c)

113.0 in³

d)

452.2 in³

9.

Use the map of Sarah's town to answer the question below.

What is the distance Sarah will travel from Randi's house to to the store?

a)

5 units

b)

6 units

c)

8 units

d)

10 units

10.

The Pythagorean Theorem states...

a)

$a^2+b\ =\ c^2$

b)

$a^2+b^2=c^2$

c)

$a+b^2=c$

11.

Find the missing leg. Set up the correct equation using:

$a^2+b^2=c^2$

a)

$8^2+9^2=x^2$

b)

$8^2+x^2=9^2$

c)

$8+9=c$

d)

$8^2+9^2+c^2$

12.

Find the missing leg. Round to the nearest tenth if necessary.

$a^2+b^2=c^2$

a)

2.6

b)

5

c)

12

d)

5.5

13.

The average U.S. resident uses 100 gallons of water per day. The population of the U.S. is about 3.23×10⁸. About how many gallons of water do U.S. residents use each day?

a)

323×10¹⁰

b)

3.23×10¹⁰

c)

3.23×10⁹

d)

3.23×10⁸

14.

As of November 12th 2015, the U.S. Treasury estimates the national debt at 1.8604 x 10¹³dollars. The population of the United States is approximately 3.189 x 10⁸people. Using these values, calculate the per person share of the national debt.

a)

.58338037 × 10⁵

b)

5.8338037 × 10⁴

c)

1.714147495 × 10⁵

d)

1.714147495 × 10^-5

15.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

16.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

17.

What is the value of:
(3/4)⁰

a)

1

b)

0

c)

3/4

d)

3/16

18.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

19.

Rewrite the expression as a power.
(2⁴)(2⁵)

a)

2²⁰

b)

4⁹

c)

4²⁰

d)

2⁹

20.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

21.

The solution to this system of equations is _____.

a)

(4,-1)

b)

(4,1)

c)

(-1,4)

d)

(1,4)

22.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures (x) and 3 boxes of color brochures (y), which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

a)

x+y=134
x+y=120

b)

3x+3y=134
4x+3y=120

c)

4x+3y=134
3x+3y=120

d)

7xy=134
6xy=120

23.

-3x < 12

a)

FLIP

b)

Nah!

24.

5 ≥ m - 3

a)

FLIP

b)

Nah!

25.

-4 ≤ -4m

a)

FLIP

b)

Nah!

26.

What do you look at to know when to flip the sign?

a)

inequality symbol

b)

if the answer is negative

c)

the number with the variable

27.

Divide by a negative

a)

Flip

b)

Nah!

28.

3x > 9

a)

FLIP

b)

Nah!

29.

Slopes of Parallel lines are ____________?

a)

opposites

b)

reciprocals

c)

equal

d)

oppostie reciprocals

30.

Slopes of Perpendicular lines are __________?

a)

Opposite

b)

Reciprocals

c)

Opposite Reciprocals

d)

Equal

31.

Find the Slope of the line shown in the graph.

a)

-2/3

b)

2/3

c)

-3/2

d)

3/2

32.

Find the slope of the line shown in the graph.

a)

-1/5

b)

1/5

c)

-5

d)

5

33.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

34.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

35.

Ms Wiley is burning candles in her house. The new candle has a radius of 3 cm and a height of 8 cm. How much wax was used to make the candle?

a)

$\pi3^28$

b)

$\pi8^23$

c)

$\pi1.5^28$

d)

$\pi4^23$

36.

Chicken noodle is the best when you're sick! (Please don't get sick!). How much soup is in a cylindrical can with a diameter of 6 centimeters and a height of 10 centimeters?

a)

$\pi3^210$

b)

$\pi6^210$

c)

$\pi10^26$

d)

$\pi5^26$

37.

Mr Saucedo loves Coke! How much soda is in this cylindrical can with a radius of 3 centimeters and a height of 9 centimeters?

a)

$\pi3^29$

b)

$\pi9^23$

c)

$\pi1.5^29$

d)

$\pi4.5^23$

38.

Ms M and Ms K were out catching Pokemon during homeroom this week! This Pokeball measures 6 inches in diameter. How much air is inside the ball before a Pokemon is caught?

a)

$\frac{4}{3}\pi3^3$

b)

$\frac{4}{3}\pi6^3$

c)

$\frac{1}{3}\pi6^23$

d)

$\pi6^23$

39.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

40.

Solve for h, S = $2\pi rh$

a)

h= $\frac{S}{2\pi r}$

b)

h = $S2\pi r$

c)

h = $S-2\pi r$

d)

h = $\frac{2\pi r}{S}$

41.

Solve for x

y = mx + b

a)

$x=\frac{yb}{m}$

b)

$x=ybm$

c)

$x=\frac{y+b}{m}$

d)

$x=\frac{y-b}{m}$

42.

Volume of a right circular cylinder is $V=\pi r^2h.$
Which equation will find the radius of a right circular cylinder?

a)

$r=\frac{V^2}{\pi h}$

b)

$r=\frac{V}{\pi h}$

c)

$r=\sqrt{\frac{V}{\pi h}}$

d)

$r=\frac{\sqrt{V}}{\pi h}$

43.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

44.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

The situation makes sense

c)

Inputs have different outputs every time

d)

x-values and y-values

45.

a)

Function

b)

Not a Function

46.

a)

It is a function because each x has only one y.

b)

It's not a function because an x has multiple y's.

c)

It's not a function because a y has multiple x's.

d)

It is a function because each y has only one x.

47.

Is this table a function or not a function?

a)

Function

b)

Not a Function

48.

Does this represent a function?

a)

Yes

b)

No

49.

What is the algebraic equation for this table?

a)

m = 480h

b)

h = m/480

c)

h + 480 = m

d)

480 - h = m

50.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

a)

y = 8.50x + 25.50

b)

y = 25.50 + 8.50

c)

y = 8.50+ 25.50x

51.

Which of the following situations could be descried by the equation y= -25x + 120

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

52.

The profit of a company is given by the function y = 100,000 - 2,000x, where y is the profit in dollars and x is the time in months. What is the profit of a company after 5 months?

a)

$98,000

b)

$90,000

c)

$89,000

d)

$80,000

53.

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

a)

y=1.5+20x

b)

y=1.5x + 20

c)

y = 20x + 1.5

d)

y= 21.5x

54.

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

a)

y = 7x + 20

b)

y = 7 + 20x

c)

y = 20 + 7

55.

Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?

a)

y = 3x + 20

b)

y = 3 + 20x

c)

y = -3x + 20

d)

y = -20x + 3

56.

A man is climbing down from 100 feet high descending 30 feet per minute.

a)

y = - 30x + 100

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

57.

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

a)

y = 30 + 12.5x

b)

y = 12.5 + 30

c)

y = 12.5 + 30x

58.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

59.

a)

b=2

b)

m=3

c)

b=-3

d)

m=-2

60.

What is the slope of this equation?
y = 3x - 4

a)

3

b)

-4

c)

3x

d)

4

61.

What is the y-intercept of this equation?
y = 5x + 8

a)

(0, 5)

b)

(5, 0)

c)

(0, 8)

d)

(8, 0)

62.

Which runner was faster?

a)

Runner A

b)

Runner B

63.

Determine the slope and y-intercept. y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

64.

What is the slope-intercept equation?

a)

y= - 4/5x + 8

b)

y= 4/5x - 8

c)

y= - 5/4x + 8

d)

y= - 8x - 3

Georgia Milestones Mega-Review

Total questions: 64

Worksheet time: 3hrs 8mins

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