 High School Math Proficiency Examination
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## 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
Rate = r
Surface Area = SA
time = t
Volume = V
width = w

Term Value
Circle
Interest
A = Þ rý
I = prt
C = 2Þ r
or
Right Angle Triangle
C = Þ d
(Pythagorean Theorem)
aý + bý = cý
Cone
V = 1/2 Þ rýh
Rectangle
P = 2l + 2w
Distance
or
D = ft
P = 2(l + w)
A = lw
Cylinder
V = Þ rý 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

### 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.

A. point
B. line
C. line segment
D. ray
E. angle

A. bar graph
B. pictograph
C. histogram
D. line graph
E. circle graph

#### 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

A. 180 feet
B. 160 feet
C. 159 feet
D. 153 feet
E. 100 feet

#### 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

#### 7. What is the perimeter of the rectangle below? A. 10x - 1y
B. 20x - 2y
C. 20xý - 2yý
D. 21xý - 20yý
E. 21xý + 9xy - 2yý

A. \$8.75
B. \$7.75
C. \$6.80
D. \$6.05
E. \$5.80

#### 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

#### 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
100-watt 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

#### 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 = pull-ups
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 pull-ups, what is her arm strength?

A. 240
B. 174
C. 151
D. 50
E. 40

#### 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

A. mean
B. mode
C. median
D. range
E. none of these

A. w + 3
B. wý + 3
C. 3w
D. w(w + 3)
E. 3w(w + 3)

A. 3.5 minutes
B. 7 minutes
C. 22.5 minutes
D. 37.5 minutes
E. 60 minutes

#### 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

A. 3/14
B. 1/14
C. 3/4
D. 1/4
E. 1/3

A. 8%
B. 9%
C. 10%
D. 10.8%
E. 12%

#### 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

Items Cost
Shampoo \$2.95
Juice \$1.89
Ice Cream \$4.80
Potatoes \$2.29

A. Shampoo
C. Juice
D. Ice Cream
E. Potatoes

#### 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

A. 220 + 3 x 4
B. 220 + 3 / 4
C. 220 / 4 + 3
D. 220 x 4 - 3
E. 220 x 3 / 4

A. 40 grams
B. 100 grams
C. 400 grams
D. 1000 grams
E. 4000 grams

#### The graph below shows the number of hours worked each week by part-time employees at Clothing Emporium. Use the graph information to answer questions 24 and 25. A. 25-29
B. 20-24
C. 15-19
D. 10-14
E. 6-9

A. 10
B. 25
C. 27
D. 29
E. 31

#### 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

A. 4 - c
B. (4 - c) / 3
C. (c - 4) / 3
D. 3(4 - c)
E. 4/3 - c

A. \$12.58
B. \$10.37
C. \$8.16
D. \$6.46
E. \$4.08

#### 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¯

A. 30%
B. 35%
C. 37.5%
D. 39%
E. 75%

Term Value
0
0
1
4
2
12
3
24
4
40
5
60
---
---
n
?

A. 2ný - 2n
B. 2n(n + 1)
C. ný - n
D. 3n - 1
E. n(n + 1)

## PART 2

A. 5 < 8n
B. 8n < 5
C. 5 - 8n
D. 8n - 5
E. 8n + 5

A. 1 square foot
B. 1 cubic foot
C. 3 square feet
D. 3 cubic feet
E. 6 square feet

#### 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

A. 2 / 9
B. 1 / 6
C. 13 / 27
D. 1 / 3
E. 1 / 9

#### 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

A. 36 inches
B. 34 inches
C. 24 inches
D. 16 inches
E. 10 inches

#### 38. What is the perimeter of the next rectangle in the pattern below? A. 4xy
B. 8x ftý y ftý
C. 16xy
D. 4x + 4y
E. 8x + 8y

#### 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

#### 40. Calculate the area of the shaded region below. (Diagram not drawn to scale)

A. 36 ftý
B. 63 ftý
C. 72 ftý
D. 105 ftý
E. 120 ftý

#### 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? A. 15 + 10 + 12
B. 15(10 + 12)
C. 10(15 +12)
D. 12(15 + 10)
E. 15 x 10 x 12

#### 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

#### 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 A. 15 cm
B. 20 cm
C. 25 cm
D. 30 cm
E. 35 cm

A. 27%
B. 40%
C. 43%
D. 60%
E. 80%

#### 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.

A. 1/6
B. 2/6
C. 3/6
D. 4/6
E. 5/6

#### 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

#### 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 +xý
E. all of the above

#### 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

A. B
B. C
C. E
D. M
E. N

#### 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

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

A. 72¯
B. 60¯
C. 40¯
D. 36¯
E. 20¯

A. \$22
B. \$880
C. \$985
D. \$8,800
E. \$9,850

#### 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

A. 38 feet
B. 19 feet
C. 9.5 feet
D. 7 feet
E. 5 feet

#### 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 8-mile 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

#### 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.

#### 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

NOW !

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