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NEVMAT 04A
Sample Test
for the Nevada
High School Proficiency
Examination in
Mathematics
Test 4A
© Clark County School District 2001
June 2001
Formula Sheet
Formula
Sheet
Note
to Student:
Student:You
Youmay
may
use
these
formulas
throughout
this entire
Note to
use
these
formulas
throughout
this entire
test. test.
Feel Feel
free to
to flip
flip back
backto
tothis
thisFormula
FormulaSheet
Sheet
needed
during
your
testing
time.
free
asas
needed
during
your
testing
time.
Rectangle
w
Perimeter
Area
Triangle
l
p = 2l + 2w
or
p = 2(l + w)
Area
A=lw
h
A=
b
1
bh
2
Pythagorean Theorem
a + b =c
2
2
Pythagorean Theorem
b
b
b
Rectangular Solid
h
A=bh
Volume
Circle
•
r
•
d
C =2 r
Circumference
Area A = r
or
C= d
2
w
l
V =lwh
Surface Area SA = 2lw + 2lh + 2hw
r
Cylinder
Cone
•
h
h
r
Volume V = r 2h
Trapezoid
c
a
h
Parallelogram
Area
c
a
2
b1
h
b2
1
Area = h(b1 + b2 )
2
Volume V =
1 2
r h
3
Other Necessary Information
1 quart ≈ 0.95 liters
1 pound ≈ 0.45 kilograms
1 inch ≈ 2.54 centimeters
9
o
F = C + 32
5
5
o
C = (F − 32 )
9
(This sheet is for the 1998 Series of tests -- 2001-2002 School Year)
Determine the best answer to each question. Indicate the letter on your answer sheet.
1.
The average distance from the Earth to the sun is 93 million miles. Which of the following
expresses that distance in scientific notation?
A.
B.
C.
D.
E.
2.
You are organizing a school picnic and want to buy enough juice boxes so that each of the 187
students will have one box of juice. If juice boxes are sold only in full cases containing 15 juice
boxes, what is the smallest number of cases you can buy in order to have enough for the picnic?
A.
B.
C.
D.
E.
3.
93 ×107 miles
9.3 × 107 miles
0.93 ×107 miles
9.3 × 106 miles
93.0 ×10 6 miles
13
12.5
12
13.5
11.5
1
3
-inch wrench is too big, but the -inch
2
8
wrench is too small for the bolt you need to unscrew. Which of the following wrenches might
work better?
While repairing your automobile, you find that the
A.
5
C.
7
32 - inch
B. 516 -inch
32 -inch
D. 716 -inch
E. 9 32 -inch
4.
For what value of x is 46 = 8 x
A.
B.
C.
D.
E.
1
2
3
4
5
Proficiency Practice Test 4A
June 2001
Page 1
5.
Mike won a CD worth $20.00. He already had a copy of the CD and sold the new one at a yard
sale for $8.00. What percent discount did the buyer receive?
A.
B.
C.
D.
E.
6.
Maria invested $2500.00 in the stock market. She lost 50% of her investment during the first
month. After making changes, she reinvested what was left of her original investment and saw a
gain of 50%. How much money did she have in the stock market at this point?
A.
B.
C.
D.
E.
7.
$1250.00
$1875.00
$2500.00
$2550.00
$2875.00
Determine which of the following graphs represents a function?
A.
B.
C.
D.
E.
8.
20%
40%
60%
80%
100%
I only
I.
II only
I and III only
III only
All three graphs represent functions.
II.
III.
How many values of x will make the equation y = 4x − 6 true?
A.
B.
C.
D.
E.
no values
one value
two values
three values
more than three values
Proficiency Practice Test 4A
June 2001
Page 2
9.
What is the solution to the equations represented by the graph below?
A.
B.
C.
D.
E.
10.
(0, 2)
(-2, 0)
(2, 2)
(2, -2)
(0, -2)
The owner of a shoe store recorded the following information from last week:
Number of Customers (c)
Amount of Sales (s)
15
$80
22
$115
30
$155
28
$145
43
$220
71
$360
55
$280
According to information in the table, which equation describes the relationship between the
number of customers (c) and the amount of sales (s)?
A.
B.
C.
D.
E.
11.
Find the ratio of the areas of two circles if their radii are 2 units and 3 units.
A.
B.
C.
D.
E.
12.
s = 5c + 5
s = 18c
s = 5c
s = 15c + 10
s = 3c + 11
2:3
4:6
4:9
6:9
8:9
2 units
3 units
Ivan jogged eight miles in one hour. How long would it take him to walk the same distance if he
walked at a rate of four miles per hour?
A.
B.
C.
D.
E.
1 hour
2 hours
2.5 hours
3 hours
4 hours
Proficiency Practice Test 4A
June 2001
Page 3
13.
Two cars are 500 miles apart. Both start driving at the same time traveling towards one another.
They meet after four hours. If the speed of one car is 25 miles per hour faster than the other car,
what is the speed of the faster car?
A.
B.
C.
D.
E.
14.
Ray C. Driver was fined $20.00 plus $4.00 for every mile per hour over the speed limit of 55 mph
he was driving. If his fine was $76.00, how fast was Ray driving?
A.
B.
C.
D.
E.
15.
69 mph
74 mph
76 mph
78 mph
102 mph
The measurement of a box is given as 60 cubic centimeters. This is the measure of the ? of the
box.
A.
B.
C.
D.
E.
16.
50 mph
65 mph
70 mph
75 mph
80 mph
surface area
volume
length
width
mass
The diameter of a full-sized automobile steering wheel is about ? .
A.
B.
C.
D.
E.
3.5 cm
35 cm
350 cm
3,500 cm
35,000 cm
Proficiency Practice Test 4A
June 2001
Page 4
17.
The radius of the tire on Pedro’s bicycle is 13 inches. What is the approximate circumference of
the tire?
A.
B.
C.
D.
E.
18.
In the graduated cylinder below, each mark (gradient) is 25 ml of liquid. If a liquid level is half
way between the fourth and fifth mark from the bottom, about how much liquid is in the cylinder?
A.
B.
C.
D.
E.
19.
13 inches
26 inches
39 inches
52 inches
78 inches
4.5 ml
25 ml
100 ml
112 ml
125 ml
A friend asks you to help her find out how much paint she needs to paint her house. She says
that each one gallon of paint covers about 400 square feet of area. Her four-sided house is 8
feet tall and each side is 20 yards long. How many gallons of paint should your friend buy?
A.
B.
C.
D.
E.
3 gallons
5 gallons
7 gallons
9 gallons
11 gallons
Proficiency Practice Test 4A
June 2001
Page 5
20.
Which line segment in the diagram appears to have a slope of zero?
A.
B.
C.
D.
E.
21.
Segment AB
Segment CD
Segment EF
Segment GH
None of the above.
If the radius of a circle is 3m, what is the circumference of the circle in meters?
A. 3π
B. 6π
C. 9π
D. 12π
E. 15π
22.
What is the sum of the interior angles of the figure below?
A.
B.
C.
D.
E.
23.
360°
540°
720°
900°
1080°
How can you determine algebraically if (2,3) is a solution to the equation y = 2x – 1?
A.
B.
C.
D.
E.
Substitute 2 for y and 3 for x and see if both sides are equal.
Substitute 2 for x and 3 for y and see if both sides are equal.
Substitute 2 for x and y and see if both sides are equal.
Substitute 3 for x and y and see if both sides are equal.
None of the above.
Proficiency Practice Test 4A
June 2001
Page 6
24.
This graph represents the amount of scrap aluminum recycled by 5 boys. Which boy graphically
represents the median of this data?
Scrap Aluminum
90
80
p
o
u
n
d
s
70
60
50
40
30
20
10
0
Joe
Sam
Bob
Jim
Ed
names
A.
B.
C.
D.
E.
25.
Joe
Sam
Bob
Jim
Ed
The weekly wages of 10 students working part time are as follows:
$35, $40, $34, $75, $36, $39, $41, $38, $42, $37
Which of the following best represents the typical wage?
A.
B.
C.
D.
E.
26.
mean
median
mode
range
None of these.
Susan has 4 orange, 3 yellow, 5 blue, and 2 green markers. If she reaches in her desk drawer
without looking, what is the probability of grabbing a blue or yellow marker?
A.
B.
C.
D.
E.
5/14
6/14
7/14
8/14
9/14
Proficiency Practice Test 4A
June 2001
Page 7
27.
What is the probability of the spinner stopping on an even or a prime number?
A.
B.
C.
D.
E.
28.
1
8
1
2
5
8
3
4
7
8
7
9
2
5
8
3
11
15
Two number cubes (#1-#6) are rolled. What is the probability that the sum of the numbers rolled
is a 5 or an 11?
A.
B.
C.
D.
E.
1
6
2
9
1
3
5
11
5
6
Proficiency Practice Test 4A
June 2001
Page 8
29.
This graph represents employment in a variety of businesses. What is the mean of the number of
people employed by the four largest jobs?
EMPLOYMENT
Delivery Services
Warehouses
Farms
Retail Stores
Bakeries
Auto Factory
0
20
40
60
80 100 120 140 160 180 200 220 240 260 280 300 320 340 360
Number of People
A. 1560 people
B. 1180 people
C. 295 people
D. 260 people
E. 160 people
30.
On his first three tests, Kurt scored 75, 82, and 84. What must his score be on the fourth test for
his mean score to be 85?
A.
B.
C.
D.
E.
46
24
89
99
109
Proficiency Practice Test 4A
June 2001
Page 9
Answer Key -- Proficiency Practice Tests 4A and 4B
Proficiency Practice Test – 4A
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
B - Numbers - Concept
A - Numbers - Concept
D - Numbers - Procedure
D - Numbers - Concept
C - Numbers - Problem Solving
B - Numbers - Problem Solving
C - Algebra - Concept
E - Algebra - Concept
A - Algebra - Concept
A - Algebra - Procedure
C - Algebra - Procedure
B - Algebra - Problem Solving
D - Algebra - Problem Solving
A - Algebra - Problem Solving
B - Measurement - Concept
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
B - Measurement - Concept
E - Measurement - Procedure
D - Measurement - Procedure
B - Measurement - Problem Solving
C - Geometry - Concept
B - Geometry - Procedure
E - Geometry - Procedure
B - Geometry - Procedure
B - Data - Concept
B - Data - Concept
D - Data - Procedure
D - Data - Procedure
A - Data - Procedure
C - Data - Problem Solving
D - Data - Problem Solving
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
B - Geometry - Concept
B - Geometry - Concept
D - Geometry - Concept
A - Geometry – Problem Solving
D - Geometry – Problem Solving
E - Geometry – Problem Solving
B - Geometry – Problem Solving
D - Data - Concept
E - Data - Concept
C - Data - Concept
C - Data - Procedure
E - Data – Problem Solving
A - Data – Problem Solving
C - Data - Problem Solving
D - Data - Problem Solving
Proficiency Practice Test - 4B
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
C - Numbers - Concept
C - Numbers - Concept
B - Numbers - Procedure
E - Numbers - Procedure
B - Numbers - Problem Solving
D - Numbers - Problem Solving
D - Algebra - Concept
A - Algebra - Concept
B - Algebra - Procedure
D - Algebra – Problem Solving
B – Measurement - Concept
C - Measurement - Concept
D - Measurement - Problem Solving
B - Measurement – Problem Solving
B - Measurement – Problem Solving
Revised Sept. 27th, 2001