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10th Grade Practice Test
TAME Divisional STEM Competition
10th Grade Practice Test - Divisional STEM Competition
Answer the following questions by marking the BEST answer on the answer sheet.
1.
What is the correct notation for a ray from A through B?
a. AB
2.
How many angles does a hexagon have?
c. (10,3)
d. (2,11)
b. (-1,12)
c. (-1,-4)
d. (-1,-12)
The sides of a triangle are 3, 4, and 5 in. What type of triangle is this?
b. obtuse
c. right
d. acute
The base of a triangle is represented by x + 1, and the height is represented by x. Find the value of x that
makes the area of the triangle equal to 10.
a. -5
9.
b. (2,-11)
SAS Similarity Theorem
SSS Similarity Theorem
ASA Similarity Postulate
The triangles are not similar
a. scalene
8.
d. 7
ΔABC has sides AB  10, BC  4, AC  8 , ΔXYZ has sides XY  5, YZ  2, XZ  4 . Name the postulate
or theorem that proves the two triangles are similar.
a.
b.
c.
d.
7.
c. 6
Translate (3,4) by the vector [-4,8]
a. (7,12)
6.
b. 5
The point (2,3) is translated by 8 positive units along the x-axis. What are the new coordinates of the point?
a. (-2,3)
5.
d. BA
15
10
20
25
a. 4
4.
c. BA
If DA = 5, EA  10 , EC  30 , and EC || DB what does DB equal?
a.
b.
c.
d.
3.
b. AB
b. 4
c. 5
d. -4
A circle is inscribed in a square. If the radius of the circle is equal to 3 in., then what is the area of the square?
a. 36 in.2
b. 9 in.2
c. 6 in.2
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
d. 28 in.2
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10th Grade Practice Test
TAME Divisional STEM Competition
10. The Boundary Copy Shop charges $0.05 per square inch for a copy. Sally wants to copy a poster 2 ft. by 6 ft.
How much will the Boundary Copy Shop charge Sally for the poster?
a. $0.60
b. $7.20
c. $65.00
d. $86.40
11. How many significant figures does the number 0.002014900 have?
a. 7
b. 9
c. 5
d. 10
12. Sodium tetraborate, Na2B4O4 , is produced according to the unbalanced equation. How many grams of Boric
acid, H3BO3, are needed to make 150,000 grams of Na2B4O7?
H3BO3 + NaOH
a. 47.91 grams

b. 5.39 x 10-3
H2O + Na2B4O7
c. 50096 grams
d. 184157.36 grams
13. Which properties are characteristic of elements classified as nonmetals?
a. shiny appearance
b. brittle
c. malleable
d. both a and c
14. Food digesting in the stomach is an example of a __________.
a. chemical property b. chemical change
c. physical property
d. physical change
15. The insoluble product of a reaction that falls to the bottom of container is the _________.
a. precipitate
b. filtrate
c. extraction
d. residue
c. 0C
d. 0 K
16. Which temperature is the highest?
a. 100C
b. 100 K
17. All of the following are pressure units EXCEPT ________.
a. atmosphere
b. pascal
c. STP
d. kPa
18. Which of the following contains the same number of atoms?
a.
b.
c.
d.
12.0g C and 6.02 x 1023 atoms
16.0 g O2 and 2.00 moles of oxygen
1.00 mole carbon and 6.0g C
1.00 mole neon and 1.00 atom Ne
19. How many moles are in 93.9 g of carbon?
a. 1.56 x 10-22
b. 7.83
c. 1127
d. 5.65 x 1025
20. Calculate the number of atoms of Zn in 3.0 moles.
a. 196.2
b. 0.0459
c. 1.81 x 1024
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
d. 4.98 x 10-24
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10th Grade Practice Test
TAME Divisional STEM Competition
21. Which number line represents the following inequality: -3x + 1 ≤ -8?
a.
b.
c.
d.
22. What is the slope of the line perpendicular to y = 3x – 1?
a.
3
b.
1
/3
-1
c.
/3
d. -3
23. The cost of admission into Water Works Waterpark is different for adults and children. On opening day, the
waterpark sold 600 tickets which cost $9 per adult and $5 per child. If the waterpark made $4500 on opening
day, how many child tickets were sold?
a.
375
b. 200
c. 225
d. 500
24. What are the dimensions of the following matrix: [2 4 1]?
a.
1x3
b. 3 x 1
c. 1 x 1
d. 3 x 3
25. What is the vertex of the following function: y = (x – 2)2 + 3
a.
26.
(-2 , 3)
b. (-2 , -3)
c. (2 , -3)
F(x) = x – 5 and G(x) = x2 + 2x + 1. What is the domain of
a.
b.
c.
d.
d. (2 , 3)
F ( x)
?
G ( x)
All real numbers
All real numbers except x = -1
All real numbers except x = -1 and x = -5
All real numbers except x = -5
27. The team scored 86 points, how many points were scored by non-starters?
a. 56
b. 23
c. 15
d. 30
Points by Starters
25
20
Points
20
15
13
13
8
10
5
2
0
Amanda
Beverly
Corri
Debra
Elissa
Player
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
Page 3 of 12
10th Grade Practice Test
TAME Divisional STEM Competition
28. Brandon bought a shirt for $14.00 at the Funky Monkey. The shirt had been on sale twice before Brandon
decided to buy it. The shirt had been marked at 30% off the original price and 20% off the sales price. What
was the original price of the shirt?
a. $28.00
b. $47.00
c. $17.50
d. $25.00
b. 2
c. 2.5
d. 3.2
29. Solve for x: 5x  10
a. 1.43
30. What is the length of line segment CE if C=(-1,4) and E=(-4,7).
a. 3 2
b. 3 2
d. 2 3
c. 2 3
31. For questions 31 – 32 use the solubility graph to the right.
Solubilities
According to the solubility graph, at 30C, which of the
following compounds is the most soluble in 100 grams of
water?
150
140
130
120
NaCl
Yb2 (SO4) 3
KNO3
NaNO3
110
Na
100
Solubility (grams per 100 grams of water)
a.
b.
c.
d.
KN
90
80
70
60
50
N
40
30
20
Yb2(
10
0
0
10
20
30
40
50
60
70
80
90
100
Temperature (C degrees)
32. According to the graph, 110 grams of KNO3 dissolves at what temperature?
a. 30C
b. 40C
c. 60C
d. 70C
c. Na2S2O3
d. H2O2
33. Which has the highest percentage of oxygen?
a. NaHCO3
b. (NH4)2SO4
34. The concentration of a solution in moles of solute per liter of solution is called ________.
a. molar mass
b. molarity
c. volume mass
d. parts per million
35. What is the percent composition of sulfur by mass in this sample: 64 g S and 152 g Na?
a. 29.6%
b. 42.1%
c. 0.296%
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
d. 70.3%
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10th Grade Practice Test
TAME Divisional STEM Competition
36. What is the percent composition of hydrogen by mass in C3H8?
a. 18.2 %
b. 82%
c. 50.0%
d. 72.0%
37. Which of the following sets of coefficients are needed to balance the equation:
___Li + ___Br2  ___LiBr ?
a. 1,1,2
b. 2,0,2
c. 1,2,4
d. 2,1,2
38. Magnesium can be reacted with Iodine to form magnesium iodide. How many grams of magnesium iodide
can be formed from 8.06 grams magnesium and 63.46 grams iodine?
a. 75.5grams
b. 8.16 grams
c. 51.34 grams
d. 102.68 grams
39. A current of 5 amperes is flowing through a 10 ohm resistor. The voltage drop across this resistor is ______.
a. 25 volts
b. 50 volts
c. 5 volts
d. 55 volts
40. Water waves on a lake travel 6.6 m in 2.3 s. The period of oscillation is 1.5 s. What is the wavelength of the
water waves?
a. 10.12 m
41.
b. 1.9 m
c. 4.3 m
d. 3.8 m
c. line y = x
d. origin
What is the domain for the function y  x  3
x 1
a.
b.
c.
d.
All real numbers but 1 and 3
All real numbers
All real numbers but 3
All real numbers but 1
42. State the symmetry for x 2  xy  3.
a. x-axis
43.
b. y-axis
Find two functions f and g such that  f g  ( x) 
1
.
2x 1
1
, g(x) = 2x – 1
x
1
b. f(x) = 2x - 1, g(x) =
x
1
1
c. f(x) = , g(x) =
x
3x  1
a. f(x) =
d. All of these
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
Page 5 of 12
10th Grade Practice Test
TAME Divisional STEM Competition
44. Find the remaining factors for 2 x 4  9 x3  14 x 2  81x  36 if two factors are (x – 4), and (x – 3).
1
( x  ),  x  3
2
a.
b. ( x  2),
 x  3
1
2
c. ( x  ),
1
2
 x  3
d. ( x  ),
 x  3
45. Find the relative maximum for y  x3  x 2  2 x  3.
a. (-.28,-3.27)
b. (-1.62,0)
c. (-2.39,1.42)
d. (-3,0)
c. x  2
d. 2 x  1
46. Divide 2 x2  7 x  4 by (x  4).
a.
47.
1
x 1
2
b. 2 x  1
Find the vertical asymptote(s) for the following function: y 
a. x  1
b. x  3
2
x3
.
2 x  5x  3
2
d. x  0
c. x  1 , x  3
2
Use the graph of the function y = f(x) below to answer questions 48 and 49.
1  x
 2
2x  2


f (x)   x  2
1


2x  4
1 x  0
0 x1
1 x  2
x2
2x3










48. lim f (x) is ________.
x2
a. 0
b. 1
c. 2
d. does not exist
49. The function has removable discontinuity at __________.
a. x = 0
50.
b. x = 1
c. x = 2
If the function f is continuous for all values of x where f ( x) 
a. 0
b. 2
c. 1
2
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
d. x =3
sin(2 x)
when x  0 , then f(0) = ________.
x
d. undefined
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10th Grade Practice Test
TAME Divisional STEM Competition
51. If the distance between 2 spheres of constant mass is doubled, the gravitational force between them changes
from F to ________.
a. 2F
b. 1/2F
c. 4F
d. none of the above
52. When 100 g of water cools from 80.0° C to 50.0°C, the quantity of heat it gives up is ________.
a. 3.50 x 103 cal
b. 5.00 x 103 cal
c. 3.00 x 103 cal
d. 2.90 x 103 cal
53. An acidic solution in lab has a pH of 2. What is the hydrogen ion concentration of this solution?
a. 10-2
b. 2%
c. 102
d. 2.0
54. A plasmid usually carries what information?
a.
b.
c.
d.
Antibiotic resistance
Protein conformation
Enzyme inhibitors
Bacterial compatability
55. An organism that has the genotype AABbCCDd has how many possible allelic combinations?
a. 4
b. 6
c. 8
d. 16
56. Without periods of tetany, muscles will have a tendency to ______________.
a.
b.
c.
d.
Atrophy
Produce increased levels of lactic acid
Require less energy to prompt an action potential
Excite groups of muscles uncontrollably
57. What is the order of increasing energy for the four orbitals 4s, 2p, and 3d in the neutral calcium atom?
a.
b.
c.
d.
2p < 3p < 3d < 4s
4s < 3d < 3p < 2p
2p < 3p < 4s < 3d
4s < 2p < 3p < 3d
58. A particular radioactive series starts with 235U and ends with the stable 207Pb. In the overall process, how
many alpha and beta particles are emitted?
a. 8 alpha, 6 beta
b. 14 alpha, 10 beta
c. 7 alpha, 10 beta
d. 7 alpha, 4 beta
c. CO+
d. CO2
59. Which of the following species is diamagnetic?
a. NO
b. NO2
60. Analysis of a gaseous mixture of NO and N2O shows that it contains 52% by weight of nitrogen. What is the
percent by weight of NO in the mixture?
a. 55.7%
b. 88.6%
c. 68.6%
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
d. 52.0%
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10th Grade Practice Test
TAME Divisional STEM Competition
61. Let f and g be differentiable functions of x and the following values for f and g are given below. Find k’(0) if
k(x) = f(x) g(x).
f (0)  1
f (0)  5
a.
5
3
b. -
g (0)  1
f (1)  2
f (1)  
16
3
1
5
g (0) 
1
3
16
3
c.
g (1)  3
g(1)  
d. 
8
5
13
5
62. Find the point(s) on the graph of f ( x)  ( x  1)3 where the slope is 27.
a. (2, 27), (-4,-27)
b. (-2, -1), (4, 125)
c.

3
26, 0

d. (1, 27)
63. The graph of y  f ( x ) , the derivative of y  f ( x ) is shown on the right.
State the x value(s) where y  f ( x ) will have its points of inflection.
a.
b.
c.
d.
64.
    




Find all of the horizontal asymptotes for y 
y  2

   

x = -1
x=5
x = -1 and x =5
x=2
a.

b. y  0
3x
2 x2  4
.
c. y  3
2
d. y   3
2
65. If the line x - 4y = 0 is tangent to the graph of y  x2  k , then k equals ________.
a.
1
8
b. 0
c.
1
64
d.
1
32
66. The histogram shown below represents the number of hours worked by 56 high school students. The data is
skewed to the right. Which of the following statements is correct?
a.
b.
c.
d.
median < mode < mean
mode = median < mean
mean < mode < median
mode < mean < median
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
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10th Grade Practice Test
TAME Divisional STEM Competition
67. What are lurking variables?
a.
b.
c.
d.
variables that are being tested that the tester does not know
variables that are only important some of the time
variables that are not measured but may explain the relationship
variables that tell us what happened prior to the test
68. Each of the following except one is a description of correlation.
a.
b.
c.
d.
correlation can only be between –1 and 1
correlation is a unit of measure
correlation identifies the strength of a linear trend
a measure of zero means absolutely no correlation
69. What is the sample space for tossing a coin and a 3-sided die?
a.
b.
c.
d.
{H1, H2, H3}
{H1, H2, H3, T1, T2, T3}
{T1, T2, T3}
none of these
70. Which of the following are examples of categorical variables?
I.
II.
III.
IV.
V.
a. I
method of payment for purchases (cash, check, credit card)
zip code of a customer’s mailing address
number of items purchased
amount of sales tax on a purchase
customer’s driver’s license number
b. I & II
c. I, II, IV, & V
d. I, II, & V
71. A shuttle is launched from the surface of a planet with mass M and radius R. What is the minimum velocity
the shuttle must be given to completely escape from the planet’s gravitational field?
a. V = √(GM/R)
b. V = √(GM/R²)
c. V = √(2GM/R²)
d. V = √(2GM/R)
72. A loop of wire enclosing an area of 1.5 m² is placed perpendicular to a magnetic field. The field is given in
teslas as a function of time t in seconds by ________.
B(t) = (20t/3) – 10
The induced emf in the loop at t = 6 sec is most nearly:
a. 20 V
b. 30 V
c. 40 V
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
d. 50 V
Page 9 of 12
10th Grade Practice Test
TAME Divisional STEM Competition
73. A bar magnet is thrust into a coil of wire as indicated in the diagram.
Which of the following statements concerning this experiment is correct?
a. The polarity of the coil at H is South, at G is North, and the induced
current is indicated by arrow Y.
b. The polarity of the coil at H is North, at G is South, and the induced
current is indicated by arrow X.
c. The polarity of the coil at H is South, at G is North, and the induced
current is indicated by arrow X.
d. The polarity of the coil at H is North, at G is South, and the induced
current is indicated by arrow Y.
74. In what direction will the net force be for a 10-N ball that is moving horizontally and experiencing an air drag
of 10 N?
a.
b.
c.
d.
14.1 N at 45° below the horizontal
10 N at 45° below the horizontal
14.1 N at 45° above the horizontal
10 N at 45° above the horizontal
75. Elements within the same column of the periodic table ________.
a.
b.
c.
d.
have similar but not identical properties.
have identical properties.
belong to the same period.
are arranged alphabetically
76. A crystal is formed through
a. Ionic
77. A + BC 
a. synthesis
bonding.
b. covalent
B + AC
c. metallic
This represents a
b. decomposition
d. nonmetallic
reaction.
c. single replacement
d. double replacement
78. Which of the following is the equation for Work?
a.
b.
c.
d.
Work = force * area
Work = force * distance
Work = force * weight
Work = force * mass
79. Which of the following happens when an electron in an atom loses extra energy?
a.
b.
c.
d.
the electron absorbs a photon
the electron leaves the atom
light is released
the electron becomes a proton
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
Page 10 of 12
10th Grade Practice Test
TAME Divisional STEM Competition
80. What is the mechanical advantage of a lever that has an effort arm of 100cm and a resistance arm of
10cm?
a. 18
b. 10
c. 15
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
d. 1000
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10th Grade Practice Test
TAME Divisional STEM Competition
Answer key
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
B
A
C
C
B
B
C
B
A
D
A
D
B
B
A
A
C
A
B
C
B
C
C
A
D
B
D
D
A
B
D
C
D
B
A
A
D
C
B
C
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
D
D
A
C
D
D
A
A
C
B
D
C
A
A
D
B
C
D
D
C
C
A
D
D
C
D
C
B
B
D
D
B
A
A
A
A
C
B
C
B
Copyright Texas Alliance for Minorities in Engineering (TAME) 01.19.2017
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