1.	You own a painting whose dimensions are 24 inches by 30 inches.  If you create a slide of this work so that the longest side of the image is 1 inch, what is the scaling factor for the slide?	
	A)  1 / 24    B)  1 / 30    C)  1 / 720    D)  4 / 5	

2.	You own a painting whose dimensions are 24 inches by 30 inches.  If you create a slide of this work so that the longest side of the image is 1 inch, what is the length of the smaller side of the slide image?	
	A)  1 inch    B)  4 / 5 inch    C)  16 / 25 inch    D)  1 / 5 inch	

3.	You own a painting whose dimensions are 24 inches by 30 inches.  If you create a slide of this work so that the longest side of the image is 1 inch, what is the area of the slide image?	
A)	1 square inch	C)	16 / 25 square inch	
B)	4 / 5 square inch	D)	5 / 4 square inches	

4.	You own a painting whose dimensions are 24 inches by 30 inches.  If you create a full-size copy of this painting as a poster, what is the scaling factor for the poster?	
	A)  1    B)  4 / 5    C)  1 / 24    D)  1 / 30	

5.	You own a painting whose dimensions are 24 inches by 30 inches.  If you create a postcard-sized reproduction of the painting whose area is 20 square inches, what is the scaling factor for the reproduction?	
	A)  1 / 4    B)  1 / 6    C)  1 / 36    D)  2 / 3	

6.	The cost of photographic paper is nearly proportional to the area of the paper.  You own a painting whose dimensions are 24 inches by 30 inches.  You create a small photographic reproduction whose smaller side is 5 inches.  What is the scaling factor for this reproduction?	
	A)  0.2083    B)  0.1667    C)  0.0434    D)  0.0278	

7.	The cost of photographic paper is nearly proportional to the area of the paper.  You own a painting whose dimensions are 24 inches by 30 inches.  You create a large photographic reproduction whose smaller side is 8 inches.  How does its area compare with that of the original painting?	
	A)  0.3333    B)  0.2667    C)  0.1111    D)  0.0711	

8.	The cost of photographic paper is nearly proportional to the area of the paper.  You own a painting whose dimensions are 24 inches by 30 inches.  You create a small photographic reproduction whose smaller side is 5 inches, and a large photographic reproduction whose smaller side is 8 inches.  If the paper required for the small reproduction costs $1.50, how much will the paper required for the large reproduction cost?	
	A)  $1.90    B)  $2.40    C)  $3.84    D)  $4.50	

9.	A scale model of a truck is 1.5 inches high.  If the actual truck is 9 feet high, what is the scaling factor of the model?	
	A)  1 to 6    B)  1 to 18    C)  1 to 36    D)  1 to 72 	

10.	A scale model of a truck is 5 inches long.  If the model is built to a scale of 1 to 54, what is the length of the actual truck?	
	A)  270 feet    B)  101 feet    C)  36.7 feet    D)  22.5 feet	

11.	A model of a truck is built to a scale of 1 to 54.  If the model will hold 7 cubic inches, how much will the actual truck hold?	
	A)  378 cubic feet    B)  638 cubic feet    C)  1544 cubic feet    D)  4536 cubic feet	

12.	A model of a truck is built to a scale of 1 to 54.  If the model casts a shadow of 8 square inches, how large a shadow will the actual truck cast?	
	A)  36 square feet    B)  162 square feet    C)  288 square feet    D)  729 square feet	

13.	Last summer you grew a giant squash that was 6 feet long and proportionally similar to your other squash.  These squash tend to be about 1.5 feet long and weigh about a pound.  About how much do you think the giant squash weighs?	
A)	Less than 10 pounds	C)	Between 20 and 50 pounds	
B)	Between 10 and 20 pounds	D)	More than 50 pounds	

14.	Last summer you grew a giant squash that was 4.5 feet long and proportionally similar to your other squash.  These squash tend to be about 1.5 feet long and weigh about a pound.  About how much do you think the giant squash weighs?	
A)	Less than 10 pounds	C)	Between 20 and 50 pounds	
B)	Between 10 and 20 pounds	D)	More than 50 pounds	

15.	Artificial Christmas trees tend to be proportional in shape.  If a 4-foot tree needs approximately 60 ornaments to cover the outer limbs of the tree, how many ornaments will a 6-foot tree need?	
A)	Approximately 90 ornaments	C)	Approximately 135 ornaments	
B)	Approximately 120 ornaments	D)	Approximately 150 ornaments	

16.	Artificial Christmas trees tend to be proportional in shape.  If a 4-foot tree needs about two strings of lights, what size tree would need five strings of lights?	
A)	A tree shorter than 6 feet	C)	A tree between 8 and 9 feet tall	
B)	A tree between 6 and 8 feet tall	D)	A tree taller than 9 feet	

17.	Christmas trees tend to be proportional in shape.  You have a tree skirt that is circular and with diameter 3 feet, which you bought for a 7-foot tree.  If you have a 5-foot tree this year, what size tree skirt will you need?  (Round to the nearest size.)	
A)	A skirt whose diameter is 2.5 feet	C)	A skirt whose diameter is 1.5 feet	
B)	A skirt whose diameter is 2 feet	D)	A skirt whose diameter is 1 foot	

18.	In 1965 powdered gelatine cost 10 cents per box at the grocery store.  If the 1965 CPI is 31.5 and the 1999 CPI is 166.2, compute this cost in 1999 dollars.	
	A)  13 cents    B)  19 cents    C)  48 cents    D)  53 cents	

19.	In 1976 a roast beef sandwich cost 89 cents at a local fast food shop.  If the 1976 CPI is 56.9 and the 1999 CPI is 166.2, compute this cost in 1999 dollars.	
	A)  31 cents    B)  $1.43    C)  $1.93    D)  $2.60	

20.	In 1999 a compact car can cost approximately $14,000.  What is this cost in 1990 dollars, the year that you bought your last car?  (Assume the 1999 CPI is 166.2 and the 1990 CPI is 130.7.)	
A)	Approximately $9,300	C)	Approximately $11,010	
B)	Approximately $13,940	D)	Approximately $17,803	

21.	You bought a house for $130,000 in 1999.  The previous owner paid $50,000 for the house in 1980.  Comparing the converted cost, who paid more for the house?  (Assume the 1999 CPI is 166.2 and the 1980 CPI is 82.4.)	
A)	You paid much more.	
B)	The previous owner paid much more.	
C)	You both paid approximately the same amount.	

22.	The minimum wage in 1999 is $5.15.  What is the equivalent amount in 1942 dollars?  (Assume the 1999 CPI is 166.2 and the 1942 CPI is 16.3.)	
	A)  About 47 cents    B)  About 49 cents    C)  About 51 cents    D)  About 53 cents	

23.	You bought a house in 1999 for $140,000.  The previous owner paid $55,000 for the same house in 1976.  Comparing the converted costs, who paid more for the house?  (Assume the 1999 CPI is 166.2 and the 1976 CPI is 56.9.)	
A)	You paid more.	C)	You both paid about the same.	
B)	The previous owner paid more.			

24.	Apples cost about $1.75 Canadian dollars per kilogram in Canada.  If a Canadian dollar exchanges for 75 US cents and a kilogram is about 2.2 pounds, what is the equivalent cost in US dollars?	
A)	$0.60 US per pound	C)	$2.89 US per pound	
B)	$1.06 US per pound	D)	$5.13 US per pound	

25.	Ground steak costs about $2.50 per pound in the US.  If an Australian dollar exchanges for 80 US cents and a kilogram is about 2.2 pounds, what is the equivalent cost in Australian dollars?	
A)	$0.91 per kilogram	C)	$4.40 per kilogram	
B)	$1.42 per kilogram	D)	$6.88 per kilogram	

26.	Trout costs about $6.50 per pound in the US.  If a Canadian dollar exchanges for 75 US cents and a kilogram is about 2.2 pounds, what is the equivalent cost in Canadian dollars?	
A)	$2.22 per kilogram	C)	$10.73 per kilogram	
B)	$3.94 per kilogram	D)	$19.07 per kilogram	

27.	The weight of a block of granite 1 ft ´ 2 ft ´ 4 ft is 1320 lbs.  If it stands on a small face (1 ft ´ 2 ft), what is the pressure on the bottom face?	
	A)  1.15 lb/in2    B)  2.29 lb/in2    C)  4.58 lb/in2    D)  9.17 lb/in2	

28.	The weight of a block of granite 1 ft ´ 2 ft ´ 4 ft is 1320 lbs.  If it stands on a large face (4 ft ´ 2 ft), what is the pressure on the bottom face?	
	A)  1.15 lb/in2    B)  2.29 lb/in2    C)  4.58 lb/in2    D)  9.17 lb/in2	

29.	The weight of a block of granite 1 ft ´ 2 ft ´ 4 ft is 1320 lbs.  If 12 blocks are used to build a wall 8 ft high, 12 ft long, and 1 ft wide, what is the pressure on the bottom faces?	
	A)  4.58 lb/in2    B)  9.17 lb/in2    C)  18.3 lb/in2    D)  36.7 lb/in2	

30.	A granite sculpture weighs approximately 4500 lbs.  If a smaller version 2/3 the height of the original is created from granite, how much will it weigh?	
A)	Approximately 3675 lbs.	C)	Approximately 2000 lbs.	
B)	Approximately 3000 lbs.	D)	Approximately 1300 lbs.	

31.	A granite sculpture weighs approximately 4500 lbs.  If a smaller version 3/4 the height of the original is created from granite, how much will it weigh?	
A)	Approximately 3900 lbs.	C)	Approximately 2500 lbs.	
B)	Approximately 3475 lbs.	D)	Approximately 1900 lbs.	

32.	A wooden carving of an eagle stands 2 inches high and weighs approximately 3 ounces.  If a larger carving made from the same material stands 5 feet high, how much will it weigh?	
A)	Approximately 50 lbs.	C)	Approximately 170 lbs.	
B)	Approximately 70 lbs.	D)	Approximately 5000 lbs.	

33.	A small steel spoon is 6 inches long and weighs approximately 4 ounces.  If it is used as a model for a large steel spoon 4 feet long to be installed at the local cafe, how much would it weigh?	
A)	Approximately 16 lbs.	C)	Approximately 128 lbs.	
B)	Approximately 32 lbs.	D)	Approximately 2048 lbs.	

34.	A small steel spoon is 6 inches long and weighs approximately 4 ounces.  If it is used as a model for a large steel spoon to be constructed from melting approximately 200 lbs. of steel spoons, how long will the large spoon be?	
A)	Approximately 4.6 ft	C)	Approximately 10 ft	
B)	Approximately 7.4 ft	D)	Approximately 14 ft	

35.	An artist wishes to melt 2000 copper pennies to create a large penny proportional to an ordinary penny.  The diameter of a penny is approximately 3/4 in.  What will be the diameter of the large penny?	
A)	Approximately 0.78 ft	C)	Approximately 5 ft	
B)	Approximately 2.2 ft	D)	Approximately 9.4 ft	

36.	An artist wishes to melt copper pennies to create a large penny proportional to an ordinary penny and with diameter 5 inches.  An ordinary penny has diameter 3/4 in.  How many pennies will be needed?	
A)	Approximately 10	C)	Approximately 150	
B)	Approximately 50	D)	Approximately 300	

37.	A sparrow has a minimum speed of about 20 miles per hour.  If a robin is twice as long as a sparrow and proportional in shape, what is the minimum speed of a robin?	
A)	40 miles per hour	C)	14 miles per hour	
B)	28 miles per hour	D)	10 miles per hour	

38.	A sparrow has a minimum speed of about 20 miles per hour.  If a blue jay is five times as long as a sparrow and proportional in shape, what is the minimum speed of a blue jay?	
A)	100 miles per hour	C)	9 miles per hour	
B)	45 miles per hour	D)	4 miles per hour	

39.	A spherical balloon has a circumference of 10 inches.  If it expands to twice the volume, what happens to its surface area?	
A)	Its surface area more than doubles.	
B)	Its surface area doubles.	
C)	Its surface area increases but does not double.	

40.	A spherical balloon has a circumference of 10 inches.  If it expands so that its surface area is doubled, what happens to its volume?	
A)	Its volume more than doubles.	
B)	Its volume doubles.	
C)	Its volume increases but does not double.	

41.	A spherical balloon has a circumference of 10 inches.  If it expands to twice the volume, what happens to its circumference?	
A)	Its circumference more than doubles.	
B)	Its circumference doubles.	
C)	Its circumference increases but does not double.	

42.	Assuming that the sail of the Dimetrodon developed to dissipate heat when an individual doubled in weight, how much did the sail grow?	
A)	It more than doubled in surface area.	
B)	It doubled in surface area.	
C)	It grew, but did not double in surface area.	

43.	When a bird doubles its weight, how much do its wings grow?	
A)	They more than double in surface area.	
B)	They double in surface area.	
C)	They grow, but do not double in surface area.	

44.	A baby's head is about 1/3 its length; an adult's head is about 1/7 its length.  This type of growth is called	
A)	allometric growth.	C)	geometric growth.	
B)	proportional growth.	D)	isometric growth.	

45.	What is the value of the following fraction?

log 24-log 15	

----------------	

log 43-log 24	

	A)  0.806 b 0.558    B)  0.474     C)  0.325	

46.	What is the value of the following fraction?

log 73-log 15	

----------------	

log 15-log 6	

	A)  4.827     B)  1.947    C)  1.727     D)  0.809 	

47.	If points (1,23) and (3,38) lie on the graph of y = bxa, solve for a.	
	A)  a = 0.200    B)  a = 0.457    C)  a = 0.810    D)  a = 1.235	

48.	If points (1,32) and (3,75) lie on the graph of log y = bxa, solve for a.	
	A)  a = 0.775    B)  a = 0.929    C)  a = 1.077    D)  a = 1.156	

49.	If points (0.4, 26) and (1.2, 41) lie on the graph of 
	
log y = B + a log x 	

solve for a.	
	A)  a = 0.415    B)  a = 0.664    C)  a = 0.846    D)  a = 1.273	

50.	If points (0.4, 25) and (1.2, 53) lie on the graph of 
	
log y = B + a log x 	

solve for a.	
	A)  a = 0.684    B)  a = 0.916    C)  a = 1.182    D)  a = 1.544	

51.	A dog food company sells food in cans of two sizes. A “petite” can is 4 inches tall and a “super” can is 1 foot tall. The two types of cans are geometrically similar in shape. What is the linear scaling factor that scales a petite can to the size of a super can?	
	A)  1/4    B)  1/3    C)  3    D)  4	

52.	A dog food company sells food in cans of two sizes. A “petite” can is 4 inches tall and a “super” can is 1 foot tall. The two types of cans are geometrically similar in shape. The petite can contains 4 cents worth of metal. What is the value of the metal in the super can?	
	A)  48 cents    B)  36 cents    C)  16 cents    D)  12 cents	

53.	A dog food company sells food in cans of two sizes. A “petite” can is 4 inches tall and a “super” can is 1 foot tall. The two types of cans are geometrically similar in shape. It costs the company 55 cents to produce the dog food in the super can. How much does it cost to produce the dog food in the petite can?	
	A)  2 cents    B)  6 cents    C)  14 cents    D)  18 cents	

54.	Suppose the radius of a sphere is halved. How does the sphere's new volume compare with its former volume?	
A)	The sphere's new volume is one-half of the former volume.	
B)	The sphere's new volume is one-fourth of the former volume.	
C)	The sphere's new volume is one-eighth of the former volume.	
D)	The sphere's new volume is the same as the former volume.	

55.	Kay buys a paperback book that is marked $6.99 U.S. and $9.99 Canadian. She uses this information to estimate that the exchange rate is $1 U.S. =	
A)	$2.33 Canadian.	C)	$0.70 Canadian.	
B)	$1.43 Canadian.	D)	$0.43 Canadian.	

56.	While vacationing, Mike buys a hat for 71 pesos in a shop in Mexico City. The exchange rate at the time of his visit is 1$ U.S. = 9.48 pesos. What was the cost of the hat in U.S. dollars?	
	A)  $13.35    B)  $7.49    C)  $6.73    D)  $2.48	

57.	Karen's car gets 27 miles per gallon. What is this in kilometers per liter?	
	A)  4.43 km/liter    B)  11.5 km/liter    C)  43.2 km/liter    D)  63.5 km/liter	

58.	An advertisement claims that a bottle of Brand Z mouthwash is the same price as a bottle of Brand X but contains four times more liquid than a bottle of Brand X. A bottle of Brand X mouthwash contains 12 ounces. According to the ad, how much mouthwash must a bottle of Brand Z contain?	
	A)  3 ounces    B)  15 ounces    C)  48 ounces    D)  69 ounces	

59.	ChocoLot Ice Cream claims to be 20% less expensive than the leading brand. If a gallon of ChocoLot is $1.50, how much is the leading brand?	
	A)  $1.70    B)  $1.80    C)  $2.30    D)  $3.00	

60.	How many square meters are in 2.1 square kilometers?	
A)	2,100 square meters	C)	21,000,000 square meters	
B)	2,100,000 square meters	D)	2,100,000,000 square meters	

Answer Key

1.	B	
2.	B	
3.	B	
4.	A	
5.	B	
6.	A	
7.	A	
8.	C	
9.	D	
10.	D	
11.	B	
12.	B	
13.	D	
14.	C	
15.	C	
16.	B	
17.	B	
18.	D	
19.	D	
20.	C	
21.	A	
22.	C	
23.	B	
24.	A	
25.	D	
26.	D	
27.	C	
28.	A	
29.	B	
30.	D	
31.	D	
32.	D	
33.	C	
34.	A	
35.	A	
36.	D	
37.	B	
38.	B	
39.	C	
40.	A	
41.	C	
42.	B	
43.	A	
44.	A	
45.	A	
46.	C	
47.	B	
48.	A	
49.	A	
50.	A	
51.	C	
52.	B	
53.	A	
54.	C	
55.	B	
56.	B	
57.	B	
58.	D	
59.	B	
60.	B