Ratios and Geometry

1)  The scale on the map is 1 inch represents 5 miles.

If the two cities are 4½ inches apart, approximately

how far apart are the two cities?

Enter your answers in decimal form.
1 inch
5 miles
=
miles
inches

2)  The scale is 5 feet model to 12 feet actual.  If the

model is 18 feet in height, what is the actual

height?  Write your answer in decimal form.
feet

The bill was 68.89 before the tip.  Round to the

nearest tens place.

3)  You and three friends agree to split the bill at a

restaurant.  What fraction of the bill should be yours?

Find a 20% tip of the bill rounded to the nearest tens

place. 

$
$

If you pay with a twenty and a ten, what change

do you need?

4)  You and three friends agree to split the bill at a

restaurant.  The bill rounds to $70 plus a 20% tip

it becomes $84.  What is your share?

$
$
4 seconds

5) The IV drip was set for 3 drips per 4 seconds.  Which

proportion would solve how many drips per minute?

4 seconds
3 drips
x
=
=
60 seconds
60 seconds
3 drips
x
4 seconds
3 drips
4 seconds
3 drips
=
=
60 seconds
60 seconds
x
x

6)  Mrs. Turner is giving out five pencils for each

student who makes honor roll.  Which equation can be

used to find the number of pencils needed, y, to

the number of honorees, x?

A.  y = 1/5x
B.  y = 5x

7)  The cost of lunch is $3.75.  Which of the following

gives the BEST estimate for the cost for 11 days?

$3 x 10

$4 x 10

$4 x 12
$3 x 11
8)
$75
$50
What would 8 hours be ?
1

2

hours
3

4

5

6

$
2 hrs.
$
8 hrs.
9)
D

s

a

n

c

e

t

i

This shows a constant speed of 60 m.p.h.
60
50
30
This shows it was the fastest at one hour.
40
20
10
hour
1

Since S + M > L and S > L - M, if we know two sides of a

triangle, we can get the range for the missing side.

The two known sides for a triangle are 5 inches and 8

inches.  If the largest side is missing, it must be smaller

than 5 + 8 or 13 inches.  If the smallest side is missing,

it must be larger than 8 - 5 or 3 inches. 

 

Therefore, the missing side must range between

3 inches and         inches.  It must be larger than

3 inches and smaller than 13 inches or it will not

form a triangle.

Since S + M > L and S > L - M, if we know two sides of a

triangle, we can get a range for the missing side.

 

The two known sides for a triangle are 12" and 16".

What are possible values for the missing side?

    " <  x  <      "

Since S + M > L and S > L - M, if we know two sides of a

triangle, we can get a range for the missing side.

 

The two known sides for a triangle are 20" and 16".

What are possible values for the missing side?

    " <  x  <      "

Since S + M > L and S > L - M, if we know two sides of a

triangle, we can get a range for the missing side.

 

The two known sides for a triangle are 9" and 16".

What are possible values for the missing side?

    " <  x  <      "
HINT:  100%  plus  80%.

14)  A jewelry store marks up it jewelry by 80%.  If

it bought a ring for $500, what would be the sales

price?  

$
HINT:  100%  plus  80%.

15)  A jewelry store marks up it jewelry by 80%.  If

it bought a ring for $60, what would be the sales

price?  

$
The radius of a circle is a line segment connecting the
center of the circle to the outside of the circle.
radius
The diameter of a circle is a chord going through the 
center of the circle.
diameter
The circumference for a circle goes around the outside.It is like perimeter for a polygon.   We find it by multiplying diameter times ∏ or diameter times about3.14.  For this circle is would be 4∏ inches or 4 x 3.14. 
4 inches
c=∏d
The area of a circle is ∏•r•r.  Since we know thediameter, we must cut in half first to find the radius.The radius is 2 inches.  Exact area is ∏•2•2 or 4∏ square inches.  The approximate answer is 12.56 squareinches.
4 inches
a=∏r
2

16)  Circumference = ∏d 

                         or ≈ 3.14 times diameter 

 

       Area of a circle = ∏r

                            or ≈ 3.14 x r x r

5 cm.
radius:
diameter:
circumference:
area:
2
cm.
cm.
cm.
cm.
2

17)  Circumference = ∏d 

                         or ≈ 3.14 times diameter 

 

       Area of a circle = ∏r

                            or ≈ 3.14 x r x r

4 cm.
radius:
diameter:
circumference:
area:
2
cm.
cm.
cm.
cm.
2
18)

Angles that make 180 degrees together are called

supplementary angles.  If we know the measure of

one angle, we can subtract from 180 to find the

missing angle.   180   - 50   =

o
o
50
o
o
19)

Angles that make 180 degrees together are called

supplementary angles.  If we know the measure of

one angle, we can subtract from 180 to find the

missing angle.   180   - 52   =

o
o
x
52
o
o
19)

Angles that make 180 degrees together are called

supplementary angles.  If we know the measure of

one angle, we can subtract from 180 to find the

missing angle.   180   - 81   =

o
o
x

81

o
o

20) Use the words perimeter, area, and volume to fill

 in the following blanks.

To fill as in to put water into a swimming pool -

for a rectangular prism, it is lwh.

To cover as in to sod or seed grass for a lawn -

for a rectangle, it is lw.

To surround as in to fence a yard - for a polygon,

add all sides.

21) If the scale factor is 1:2, the perimeter of the largershape will be twice as large.  The area will be scalefactor squared or 2   times as large.
10 cm. 
Small Shape
Perimeter      Area 
6 cm.
2
2
Perimeter          Area
Large Shape
cm
cm
2
22) If the scale factor is 1:3, the perimeter of the largershape will be three times as large.  The area will be scale factor squared or 3   times as large or 9 times as large.
10 cm. 
Small Shape
Perimeter      Area 
6 cm.
2
2
Perimeter          Area
Large Shape
cm
cm
2
24) If the scale factor is 1:4, the perimeter of the largershape will be four times as large.  The area will be scale factor squared or 4   times as large.
10 cm. 
Small Shape
Perimeter      Area 
6 cm.
2
2
Perimeter          Area
Large Shape
cm
cm
2
One flash drive costs $1
Ten flash drives costs $1
cost
25) 
What does the point (1,10) mean?
$40
$10
$30
$20
Flash  Drives
1
2
One flash drive  costs $10
One flash drive costs $40
3

25)  Circumference = ∏d 

                         or ≈ 3.14 times diameter 

 

       Area of a circle = ∏r

                            or ≈ 3.14 x r x r

20 cm.
radius:
diameter:
circumference:
area:
2
cm.
cm.
cm.
cm.
2

25)  Circumference = ∏d 

                         or ≈ 3.14 times diameter 

 

       Area of a circle = ∏r

                            or ≈ 3.14 x r x r

24 cm.
radius:
diameter:
circumference:
area:
2
cm.
cm.
cm.
cm.
2
27)  Remember three angles of a triangle must equal180 degrees.  What is the missing measurement?
54
o
o
x
o
28)  Remember three angles of a triangle must equal180 degrees.  What is the missing measurement?
21
o
54
105
o
o
o
36
x
o
29)  Remember three angles of a triangle must equal180 degrees.  What is the missing measurement?
21
o
54
105
o
o
o
36
54
o
x
o
30)  Remember three angles of a triangle must equal180 degrees.  What is the missing measurement?
21
o
x
54
105
o
o
o
36
o
54
o
31)  Kamiyah wants to enlarge her favorite selfie. 
The photo is 4" wide by 6" high.  If she wants the new
picture to be 20" wide, what is the new height? 
selfie
width
height
=
new selfie
width
height

32)

Since S + M > L and S > L - M, if we know two sides of a

triangle, we can get a range for the missing side.

 

The two known sides for a triangle are 8" and 14".

What are possible values for the missing side?

    " <  x  <      "
Fill in the following terms  to match their drawings.
parallel,   perpendicular,   intersecting

This is an image of a cross section that is parallel to

the base.  If a pyramid or prism is cut parallel to the

base, the cut will be the same shape as the base.

This is a rectangular pyramid cut parallel to the base.

Therefore, the cross section will be a                     .

Parallel to the base will still match the base.  The

cross section parallel to the base will be a

 

while the other cross section is more diagonal.  Its

cross section will be an ellipse or oval.

This cut is perpendicular to the base.  What shape

would the cross section be?

If you cut a rectangular prism  into two pieces it is

possible to get all cross sections listed below except

for one.  Which one is NOT possible?

square
triangle
trapezoid
pentagon
circle
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