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Sample - Click above to make a new math worksheet (PDF).
Name _____________________________
Date ___________________

Classify the number as rational, irrational, or not a real number.
1.  
  
16

2.  
3

7

3.  
(
  
12
)2

4.  
5.   3.141592
6.  
  
-169

7.  
  
26

8.  
7

25


Find the circumference of each circle. State your answer in terms of and also round your answer to the nearest tenth.
9.  
diameter =   39.02 cm

10.  
radius =   
4

11
 m

11.  
diameter =   24 cm

12.  
radius =   19 mm

13.  
diameter =   12.74 mm

14.  
radius =   21 mm


Complete.
15.   Alexander cut a circle out of red and white striped construction paper. He glued it to the top of his little sister's valentine box. He wanted to cut a piece of gold cord to go around the edges of the circle. The radius of the circle is four inches. How long should he cut the gold cord?

16.   Megan and Brandon are planning a garden. Megan said if they make the garden round it would look better. Brandon said if they make the garden square they will be able to plant more. They have enough space to make a round garden with a diameter of twelve feet or a square garden with each side being twelve feet. If they put four plants in each square foot of ground, how many more plants will they be able to plant in the square garden than they could plant in the round garden?


 

Key #2
aKey #2
Find the area of each circle. State your answer in terms of and also round your answer to the nearest tenth.
17.  
diameter =   
3

2
 cm

18.  
diameter =   38 mm

19.  
radius =   14.74 mm

20.  
radius =   20.49 mm

21.  
diameter =   12 cm

22.  
diameter =   10.86 cm


Find the radius of the circle. (use = 3.14)
23.  
A  =  400  m2

24.  
A  =  659.27  mm2

25.  
C  =  50 m

26.  
C  =  1.09 cm

27.  
A  =  1613.74  m2

28.  
C  =  36 cm


Find the volume of each solid to the nearest tenth. (use = 3.14)
29.  
a  =    9.3 km
b  =    14 km
c  =    37 km




30.  
a  =    2 yd
b  =    25 yd




31.  
a  =    6.98 in
b  =    6 in
c  =    11 in





Find the volume of each solid to the nearest tenth. (use = 3.14)
32.  
a  =    8.4 km
b  =    6.8 km
c  =    8.3 km

33.  
a  =    2 yd
b  =    5 yd

34.  
a  =    4 m
b  =    5 m


 

Key #2
aKey #2
Find the surface area of each solid to the nearest tenth. (use = 3.14)
35.  
a  =    5 in
b  =    8 in

36.  
a  =    16 cm
b  =    18.6 cm
c  =    18.6 cm

37.  
a  =    19 mm
b  =    14 mm
c  =    14 mm


Complete.
38.   If a log that is 36 feet long and 4 feet in diameter is cut into three equal pieces, what will be the surface area of each piece?

39.   A coil of wire was found lying in the shipyard. Amanda wondered if it would be enough to temporarily hold some steel plates in position while they were being welded. The wire was braided steel 1-cm thick. The coil was neatly wound in a single layer around a wooden spool 1.7 meters in diameter. The wire spanned a distance of 68 cm on the spool. She needed 293 meters of wire to do the job. Is the coil of wire long enough for her purposes?


Complete.
40.   Isaac made six pepperoni pizzas for a party. He cut the pepperoni himself from a sausage that was 14 inches long and 1 1/2 inches in diameter. The pizzas were each 18 inches in diameter. His friend Lauren is a real math whiz (a math freak some say) and took the opportunity to calculate what percent of the total pizza surface area was covered by pepperoni. The pepperoni was cut into slices 1/8 of an inch thick. Each pizza has the same number of whole pepperoni slices (he ate any extra pepperoni!). What percent of the total pizza surface area was covered by the pepperoni? Round your answer to the nearest hundredth.

41.   A cylinder can approximate the shape of a snake. Which snake would have the most volume, one that is 73 cm long and 11 cm in diameter, or one that is 40 cm long and 10 cm in diameter?


 


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