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CORE Quarter 1 Review

Total questions: 72

Worksheet time: 5hrs 44mins

Name
Class
Date
1.
Find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
2.
what is the area of this semicircle ?
d = 8 cm 
a)
100.48 cm2
b)
80 cm2
c)
200.96 cm2
d)
25.12 cm2
3.
What is/are the formula(s) to find the area of a circle?
a)
πr2
b)
2πr
c)
√π
4.
Jesse used rope to stake a circular region in which to plant a garden. The diameter of the region is 20 inches. What is the approximate area of half of the garden?
a)
31.4 in2
b)
314 in2
c)
157 in2
d)
628 in2
5.

Find the composite area.

a)

6.28

b)

24

c)

40

d)

38.28

6.

Find the composite area.

a)

72.12

b)

146.24

c)

96

d)

121.12

7.

You buy a pizza. The diameter of the pizza is 16 Inches. You only eat half of the pizza. how many square inches of pizza did you eat?

a)

200.96

b)

100.48

c)

48

d)

24

8.

Find the area of the shape


Area of Parallelogram = bh

Area of Triangle = 1/2bh

Area of Trapezoid = 1/2h(b1 +b2)

Area of Circle = πr2

a)

44.13 sq cm

b)

143.04 sq cm

c)

88.26 sq cm

9.
A circular fountain has a drain in the center. The distance from the drain to the edge of the fountain is 3 feet. What is the approximate circumference of the fountain?
a)
6 feet
b)
9 feet
c)
15 feet
d)
18 feet
10.
A ceiling fan is pictured above. The tip of one of the fan blades is labeled point A.  Point A is 28 inches away from the center of the fan. About how far does point A on the fan travel when the fan blades make one full revolution?
a)
28 inches
b)
56 inches
c)
176 inches
d)
88 inches
11.
The Ferris wheel at the State Fair of Texas is 450 feet across.  How many feet would a person travel if they rode around the Ferris wheel 6 times?
a)
1,413 feet
b)
2,826 feet
c)
8,478 feet
d)
4,239 feet
12.
A semicircle opening above the entrance at Six Flags has a diameter of 15 feet.  What is the area of this opening?  Round to the nearest tenth.
a)
706.5 square feet
b)
47.1 square feet
c)
88.3 square feet
d)
176.6 square feet
13.
The Cruz family is buying a custom-made cover for their swimming pool, shown above. The cover costs $2.95 per square foot. How much will the cover cost? Round to the nearest cent.
a)
$422.10
b)
$551.63
c)
$1,627.29
d)
$1,106.25
14.
The diameter of a circular table is 24 inches.  How much cloth is needed to make a cover for the table?  Round to the nearest tenth.
a)
452.2 square inches
b)
75.4 square inches
c)
1,808.6 square inches
d)
37.7 square inches
15.

Which of the following are scaled copies of the original portrait? Select ALL the apply.

a)

A

b)

B

c)

C

d)

D

e)

E

16.

Which of the following are scaled copies of the original image? Select ALL that apply

a)

A

b)

B

c)

C

d)

D

17.

Which of the following is a scaled copy of figure A?

a)

B

b)

C

c)

D

18.

Which side length on the scaled copy corresponds to the side length HJ on the original image?

a)

AB

b)

BC

c)

AC

19.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

20.
a)
0.25
b)
0.5
c)
2
d)
1/2
21.
What is the scale factor from ΔABC to ΔDEF?
a)
1/2
b)
7/3
c)
2
d)
10/3
22.
What is the scale factor?
a)
4
b)
.25
c)
5
d)
6
23.

If the scale factor is 4, what is the measurement of slide length x?

a)

21

b)

1.25

c)

20

24.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

25.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
26.
Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?
a)
25 inches
b)
60 inches
c)
1/30 inch
d)
30 inches
27.
What is the scale factor if the triangle on the left is the original?
a)
2
b)
3/2
c)
2/3
d)
1/2
28.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
29.
A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 
a)
1.7 km
b)
5 km
c)
15 km
d)
17 km 
30.
On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?
a)
42 inches = 1 mile
b)
1 inch = 42 miles
c)
40 inches = 1 mile
d)

1 inch = 40 miles
31.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

32.

Irene measured a shopping center and made a scale drawing. The scale she used was 2 inches : 1 foot. If a bakery in the shopping center is 104 inches in the drawing, how long is the actual bakery?

a)

52 ft

b)

208 ft

33.
On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
a)
200 miles
b)
175 miles
c)
100 miles
d)
125 miles
34.
A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
a)
90 ft
b)
7.5 ft 
c)
4.5 ft
d)
45 in
35.
This scale drawing shows a parking lot. What is the length of the longer side of the actual lot? 
a)
63 m
b)
235 m
c)
315 m
d)
630 m
36.

The original perimeter of a rectangle is 30cm, if we enlarge it by a scale factor of 4 what is the new perimeter?

a)

120

b)

480

c)

1920

37.

If the perimeter of a rectangle was 20in and now it is is 80in, what is the scale factor that was used?

a)

4

b)

2

c)

40

d)

20

38.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

39.

Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter : 5 meters. In the drawing, the lawn in the backyard is 10 millimeters long. What is the length of the actual lawn?

a)

50 m

b)

2 m

c)

10 m

d)

5 m

40.

Kenny drew a scale drawing of a swimming pool. The scale of the drawing was 2 centimeters : 1 meter. If the pool is 26 centimeters in the drawing, how wide is the actual pool?

a)

13 m

b)

2 m

c)

1 m

d)

52 m

41.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
d)
1/14
42.
What is the constant of proportionality for this table?
a)
$1/9 per hour
b)
$9 per hour
c)
$8 per hour
43.

What makes a graph proportional?

a)

Linear (straight line)

b)

A straight line (linear) that goes through the origin

c)

Curvy line

44.
Find the unit rate:  $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
45.
Is this graph proportional?
a)
Yes
b)
No
46.
Is this table proportional?
a)
Yes
b)
No
47.
Write an equation for this situation.
a)
y = 9.75x
b)
y = 19x
c)
y = 19.25x
d)
y = 9.5x
48.
What does k represent in the equation y = kx?
a)
konkrete kids
b)
constant of proportionality
c)
kangaroos
d)
krispy kreme
49.
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
50.
Is this table proportional?
a)
Yes
b)
No
51.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
52.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
53.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
54.
A proportional relationship can be written as an equation in the form ____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
55.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
56.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
57.
What is the constant of proportionality?
a)
3
b)
4
c)
2
d)
1
58.
Which equation matches the graph?
a)
y = 7x
b)
y = 42x
c)
y = 6x
d)
y = 2x
59.
Name the constant of proportionality.
a)
20
b)
40
c)
1/20
d)
1/40
60.
What is the equation for the graph?
a)
y=46x
b)
k=46
c)
y=92x
d)
x=92y
61.
Write an equation that represents this graph? 
a)
y = 18x
b)
y = 36x
c)
y = 54x
d)
y = 72x
62.
Joel earns $40 for shoveling snow on two driveways. Which equation correctly shows the  money (m) he earns per driveway (d)?
a)
d = 40m
b)
m = 40d
c)
m = 20d
d)
d = 20m
63.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
64.
A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?
a)
13 ft
b)
20.75 ft
c)
24.75 ft
d)
22 ft
65.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
66.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
67.
The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?
a)
480
b)
1960
c)
84
d)
25
68.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
69.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
70.
A fence post that is 2 meters tall casts a shadow 5 meters long.  At the same time a tree casts a shadow 108 meters.  How tall is the tree?
a)
33.2 meters
b)
332 meters
c)
43.2 meters
d)
432 meters
71.
Ms. Kings second period P.E. Class has 56 students. 40 of these students enjoy playing baseball. This holds true for all 77 students in all of Ms. King's classes. How many of the 77 students enjoy playing baseball?
a)
55
b)
48
c)
114
d)
168
72.
In his first 40 games, Rashad hit 88 homeruns. If he continues at that rate, how many homeruns will Rashad hit in his next 60 games?
a)
132
b)
120
c)
216
d)
100

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