High School Math Proficiency Examination
Note to test taker: You may use these formulas throughout
this entire test. Feel free to flip by to this "Formula Sheet"
as needed during the test time.
Area = A
base = b
Circumference = C
Distant = D
diameter = d
feet = f
height = h
length = l
Principle = p
Perimeter = P
Radius = r
Rate = r
Surface Area = SA
time = t
Volume = V
width = w
Term 
Value 
Circle 
Interest 
A = ð r² 
I = prt 
C = 2ð r 

or 
Right Angle Triangle

C = ð d 
(Pythagorean Theorem) 

a² + b² = c² 
Cone 

V = 1/2 ð r²h 
Rectangle 

P = 2l + 2w 
Distance 
or 
D = ft 
P = 2(l + w) 

A = lw 
Cylinder 

V = ð r² h 
Rectangle Solid 

SA = 2lh + 2lw + 2wh

Parallelogram 
V = lwh 
A = bh 


Triangle 

A = 1/2 bh 
Other necessary information
1 square foot = 144 square inches
1 square yard = 1296 square inches
1 square yard = 9 square feet
1 cubic foot = 1728 cubic inches
1 cubic yard = 9 cubic feet
1 meter = 1000 milimeters
2 pints = 1 quart
4 quarts = 1 gallon
Place answers in denoted areas and follow instructions at the end of test.
To change a answer replace with the new one.
Please enter your Email ADDRESS: without it I can not return your answers.
PART 1
1. What is the procedure to change any decimal number to a percent?
A. Add 100 to the decimal.
B. Subtract 100 from the decimal.
C. Multiply the decimal by 100 and affix a percent symbol.
D. Divide the decimal by 100.
E. Drop the decimal and put a percent symbol at the end of the number.
Question 1. answer:
2. Which of the following has two end points?
A. point
B. line
C. line segment
D. ray
E. angle
Question 2. answer:
3. If you wanted to show the percentages of a tax dollar spent by the government on different services, which graph would you choose to best represent the data?
A. bar graph
B. pictograph
C. histogram
D. line graph
E. circle graph
Question 3. answer:
4. A roll of paper towels originally had R sheets. Which expression could be used for the number of remaining sheets after T sheets had been used?
A. R + T sheets
B. R  T sheets
C. R / T sheets
D. RT sheets
E. R  T x S sheets
Question 4. answer:
5. A field is 53 1/3 yards wide. What is the width of the field in feet?
A. 180 feet
B. 160 feet
C. 159 feet
D. 153 feet
E. 100 feet
Question 5. answer:
6. Alma's exam scores for history are listed below. What is her average score for the tests?
Test 1. 85
Test 2. 75
Test 3. 77
A. 80
B. 79
C. 78
D. 77
E. 75
Question 6. answer:
7. What is the perimeter of the rectangle below?
A. 10x  1y
B. 20x  2y
C. 20x²  2y²
D. 21x²  20y²
E. 21x² + 9xy  2y²
Question 7. answer:
8. Bea, Albert, and Lorna joined a friend for lunch. The bill total was $23.20. They each decided to leave a dollar tip and divided the bill evenly. What was each person's share, including the tip?
A. $8.75
B. $7.75
C. $6.80
D. $6.05
E. $5.80
Question 8. answer:
9. Using square tiles that are 2 inches on a side, Tess found she needed exactly 18 tiles to cover an area. What was the total area covered by the tiles?
A. 9 square inches
B. 18 square inches
C. 27 square inches
D. 36 square inches
E. 72 square inches
Question 9. answer:
10. The amount of energy an appliance uses is determined by the formula:
Energy = Power x Time 
Appliance 
Power Usage (watts per hour) 
Hair dryer 
1,000 
Microwave oven 
700 
Colored TV 
200 
Refrigerator 
620 
Stereo 
110 
100watt bulb 
100 
The Honoka family listens to the stereo 3 hours per day and watches television 2 hours per day. Based on the table above, how much energy is used daily on these two items?
A. 1,550 watts
B. 730 watts
C. 400 watts
D. 330 watts
E. 310 watts
Question 10. answer:
11. A formula used to determine a person's arm strength (S) is:
S = (d + p) (w / 10 + h  60)
d = dips on a parallel bar
p = pullups
w = weight in pounds
h = height in inches
If Helga, who is 66 inches tall and weighs 140 pounds, can do 5 dips and 7 pullups, what is her arm strength?
A. 240
B. 174
C. 151
D. 50
E. 40
Question 11. answer:
12. Which of the following figures contains line segments that appear to be perpendicular?
A. A,B,D
B. All of the above
C. B,C
D. A,B
E. None of the above
Question 12. answer:
13. An electronics store has five different types of car stereos available. The prices are $65, $95, $95, $80, and $75. The store advertised the typical price of a stereo as $80. What measure of central tendency was used in the advertisement?
A. mean
B. mode
C. median
D. range
E. none of these
Question 13. answer:
14. The length of a rectangle is 3 units more than its width. If w represents the width of the rectangle, which of these expressions represents the area of the rectangle?
A. w + 3
B. w² + 3
C. 3w
D. w(w + 3)
E. 3w(w + 3)
Question 14. answer:
15. A machine seals 30 boxes in 2 minutes. How many minutes would it take to seal 105 boxes?
A. 3.5 minutes
B. 7 minutes
C. 22.5 minutes
D. 37.5 minutes
E. 60 minutes
Question 15 answer:
16. The diagram below shows a box without a top. Each of its sides is a square. Each side of the square measures 8 units in length. What is the sum of the surface area of the five sides?
A. 400 square units
B. 320 square units
C. 64 square units
D. 40 square units
E. 32 square units
Question 16 answer:
17. A fast food chain includes a toy in each child's meal. If the toys include two types of dolls, three types of cars, four types of movie characters and five different stuffed animals, what is the probability of getting a car in a child's meal?
A. 3/14
B. 1/14
C. 3/4
D. 1/4
E. 1/3
Question 17 answer:
18. The list price for a dress is $90. If a discount of $10.80 was given for paying cash, what percent of the list price was the discount?
A. 8%
B. 9%
C. 10%
D. 10.8%
E. 12%
Question 18 answer:
19. How many of the smaller cubes below will fit inside the larger cube?
(Diagram not drawn to scale)
A. 576
B. 216
C. 144
D. 36
E. 12
Question 19 answer:
20. Fred is at the supermarket. He has collected the items listed on the chart below in his shopping cart, but he has only $12 to spend. What is the least expensive item he can put back and still have enough money to pay for the other items?
Items 
Cost 
Shampoo 
$2.95 
Cookies 
$3.00 
Juice 
$1.89 
Ice Cream 
$4.80 
Potatoes 
$2.29 
A. Shampoo
B. Cookies
C. Juice
D. Ice Cream
E. Potatoes
Question 20 answer:
21. If the pattern below is continued, what figure will contain 35 tiles?
A. Figure 10
B. Figure 14
C. Figure 17
D. Figure 21
E. Figure 35
Question 21 answer:
22. A car with a full tank of gas will travel 220 miles. If the fuel gauge on a car shows that the tank is threefourths full, which expression shows how to calculate the miles remaining before the tank is empty?
A. 220 + 3 x 4
B. 220 + 3 / 4
C. 220 / 4 + 3
D. 220 x 4  3
E. 220 x 3 / 4
Question 22 answer:
23. One milliliter of water at 4°C has a mass of approximately one gram. What is the approximate mass of 1 liter of water at this temperature?
A. 40 grams
B. 100 grams
C. 400 grams
D. 1000 grams
E. 4000 grams
Question 23 answer:
The graph below shows the number of hours worked each week by parttime employees at Clothing Emporium. Use the graph information to answer questions 24 and 25.
24. What is the most common number of hours worked?
A. 2529
B. 2024
C. 1519
D. 1014
E. 69
Question 24 answer:
25. What is the total number of parttime employees working at Clothing Emporium?
A. 10
B. 25
C. 27
D. 29
E. 31
Question 25 answer:
26. What is the slope of the line in the graph below?
A. 3
B. 2
C. 3/2
D. 2/3
E.  3/2
Question 26 answer:
27. If 3x + c = 4, then x equals?
A. 4  c
B. (4  c) / 3
C. (c  4) / 3
D. 3(4  c)
E. 4/3  c
Question 27 answer:
28. A camera store charges $6.29 to develop a roll of 24exposure color film plus $0.17 for each additional print. What is the total charge to develop a roll of 24exposures and make a second print of each picture?
A. $12.58
B. $10.37
C. $8.16
D. $6.46
E. $4.08
Question 28 answer:
29. If p is parallel to q in the figure below, what is the sum of angles 1 and 2?
A. 50°
B. 100°
C. 130°
D. 180°
E. 260°
Question 29 answer:
30. Two bags containing, 88 and 112 jelly beans were combined. The percent of watermelon jelly beans in
each bag was 25% and 50%, respectively. Anthony selects one jelly bean. What is the probability he selected a
watermelon jelly bean?
A. 30%
B. 35%
C. 37.5%
D. 39%
E. 75%
Question 30 answer:
31. What is the expression for the nth term in the sequence below?
Term 
Value 
0 
0 
1 
4 
2 
12 
3 
24 
4 
40 
5 
60 
 
 
n 
? 
A. 2n²  2n
B. 2n(n + 1)
C. n²  n
D. 3n  1
E. n(n + 1)
Question 31 answer:
PART 2
32. Which expression is equivalent to five less than eight times a number?
A. 5 < 8n
B. 8n < 5
C. 5  8n
D. 8n  5
E. 8n + 5
Question 32. answer:
33. What is the volume of a box 1 foot long, 1 foot high, and 1 foot wide?
A. 1 square foot
B. 1 cubic foot
C. 3 square feet
D. 3 cubic feet
E. 6 square feet
Question 33. answer:
34. A lawyer charges her clients two different hourly rates. She charges $105.00 per hour in court (c) and $75 per hour office/research time (t). The initial charge for taking on a case is $500. What expression best represents the formula used by the lawyer?
A. 680(c + t)
B. 105c +75t
C. 500 + 180(c + t)
D. 500(105c + 75t)
E. 500 + 105c + 75t
Question 34. answer:
35. A bag of candy bars contains 6 Milky Ways®, 7 Crunches®, 3 Skors®, 2 Peppermint Mints®, and 9 Big Hunks®. When Kevin reaches in and picks one candy bar, what is the probability that he will pick a Skor® or a Milky Way®?
A. 2 / 9
B. 1 / 6
C. 13 / 27
D. 1 / 3
E. 1 / 9
Question 35. answer:
36. Which measurement is closest to the circumference of the circle below?
A. 10 inches
B. 15 inches
C. 20 inches
D. 25 inches
E. 30 inches
Question 36. answer:
37. Brandon wants to enlarge a photo that is 4 inches wide and 6 inches high to make a 24inchwide poster. How high will the poster be?
A. 36 inches
B. 34 inches
C. 24 inches
D. 16 inches
E. 10 inches
Question 37. answer:
38. What is the perimeter of the next rectangle in the pattern below?
A. 4xy
B. 8x ft² y ft²
C. 16xy
D. 4x + 4y
E. 8x + 8y
Question 38. answer:
39. A newsmagazine asked 1,000 people to judge the president's performance in office as poor, fair, good, or excellent. The results are displayed in the graph below. How many people in the pool rated the president's performance as good or excellent?
A. 100
B. 140
C. 250
D. 390
E. 500
Question 39. answer:
40. Calculate the area of the shaded region below.
(Diagram not drawn to scale)
A. 36 ft²
B. 63 ft²
C. 72 ft²
D. 105 ft²
E. 120 ft²
Question 40. answer:
41. Sheila has $20.00. She will receive an additional $5.00 per hour for doing a job for her dad. Which graph shows the relationship between the number of hours Sheila works and the total amount of money she will have?
Question 41. answer:
42. Miranda has a gift wrapping business. She has 15 types of paper, 10 types of ribbon and 12 different bows. Which expression represents the number of different combinations of paper, ribbon and bows available?
A. 15 + 10 + 12
B. 15(10 + 12)
C. 10(15 +12)
D. 12(15 + 10)
E. 15 x 10 x 12
Question 42. answer:
43. Which of the following is not a proper way to name the angle shown below?
A. ACB
B. ABC
C. CBA
D. B
E. 3
Question 43. answer:
44. The foods below represent the total calories consumed in a day. Which graph best represents the data in the table below?
Meals/ Calories
Cereal 250
Sandwich 325
Candy 125
Pasta 300
Question 44. answer:
45. The length of the side of a regular hexagon is 5 centimeters. What is the perimeter of the hexagon?
A. 15 cm
B. 20 cm
C. 25 cm
D. 30 cm
E. 35 cm
Question 45. answer:
46. Over the summer, Tina swam in 45 swim meets. She won 27 meets. What percent of the swim meets did Tina win?
A. 27%
B. 40%
C. 43%
D. 60%
E. 80%
Question 46. answer:
47. Mark and Jose have a combined weight of 270 pounds. Mark weighs 30 pounds less than twice Jose's weight. How much do Mark and Jose weigh?
A. Mark weighs 170 pounds and Jose weighs 100 pounds.
B. Mark weighs 165 pounds and Jose weighs 105 pounds.
C. Mark weighs 145 pounds and Jose weighs 125 pounds.
D. Mark weighs 135 pounds and Jose weighs 135 pounds.
E. Mark weighs 120 pounds and Jose weighs 150 pounds.
Question 47. answer:
48. A bag contains four chips, numbered 3, 5, 7 and 8. Two chips are drawn at random. What is the probability that the sum of the two chips is an odd number?
A. 1/6
B. 2/6
C. 3/6
D. 4/6
E. 5/6
Question 48. answer:
49. It takes 198 cubic centimeters of sand to fill the small cylinder below. If the cylinder is stretched so the height stays the same but the radius is doubled, how much sand is needed to fill the new cylinder?
A. 7128 cubic centimeters
B. 188 cubic centimeters
C. 792 cubic centimeters
D. 494 cubic centimeters
E. 396 cubic centimeters
Question 49. answer:
50. Which of the expressions represents the area of the rectangle ABCD below?
A. 7(5 + x) + x(5 + x)
B. 5(7 + x) + x(7 + x)
C. (5 + x)(7 + x)
D. 35 + 5x + 7x +x²
E. all of the above
Question 50. answer:
51. The graph below shows the population for a small town. What is the best estimate for the population of the town in the year 2002?
A. 30,000
B. 27,500
C. 25,000
D. 22,500
E. 20,000
Question 51. answer:
52. Which letter below has a vertical line of symmetry?
A. B
B. C
C. E
D. M
E. N
Question 52. answer:
53. Which expression represents the mixed number 11 9/14?
A. 11 x 9 + 14
B. 119 / 14
C. 11 + (9 / 14)
D. 11 / 9 x 14
E. 11 x 9 / 14
Question 53. answer:
Use the Jackson Family Budget table below to answer questions 54 and 55.
Expense Item / % of Budget
Medical / 9
Housing / 20
Taxes / 32
Clothing / 10
Transportation / 8
Food / 16
Other / 5
54. When making a circle graph, how large would the central angle be for housing?
A. 72°
B. 60°
C. 40°
D. 36°
E. 20°
Question 54. answer:
55. The Jackson household income is $40,000. How much is spent on the three least expensive items in their budget?
A. $22
B. $880
C. $985
D. $8,800
E. $9,850
Question 55. answer:
56. Ted poured 198 cubic centimeters of sand to fill the cylinder below. How much sand is needed to fill a cone of the same height and with a base of the same radius?
A. 50 cubic centimeters
B. 66 cubic centimeters
C. 99 cubic centimeters
D. 132 cubic centimeters
E. 198 cubic centimeters
Question 56. answer:
57. If each 1/4 inch of floor plan represents 2 feet, what length is represented by a 4 3/4 inch segment?
A. 38 feet
B. 19 feet
C. 9.5 feet
D. 7 feet
E. 5 feet
Question 57. answer:
58. The Save More Taxi Company charges passengers a fixed amount plus an amount based on the number of miles traveled. The charge for each mile is the same. Use the information in the table below to determine the cost of an 8mile trip.
1 mile, cost: $3.40
2 miles, cost: $4,60
3 miles, cost: $5.80
4 miles, cost: $7.00
A. $9.60
B. $11.80
C. $14.00
D. $18.40
E. $27.20
Question 58. answer:
59. Find the area of the rectangle below.
A. 40 sq. in.
B. 60 sq. in.
C. 65 sq. in
D. 130 sq. in.
E. 169 sq. in.
Question 59. answer:
60. It was 41°F at 8:00 a.m. and 69°F at 4:00 p.m. If the temperature rose at a constant rate, what was the temperature at 1:00 p.m.?
A. 55.5°F
B. 57.0°F
C. 58.5°F
D. 59.0°F
E. 61.5°F
Question 60. answer: