Deck 1: Introduction: Part A

Question 1

The information on a one-gallon paint can is that the coverage,when properly applied,is 270 ft².One gallon is 231 in³.What is the average thickness of the paint in such an application?

A) 0.0036 in.
B) 0.0059 in.
C) 0.043 in.
D) 0.053 in.

Answer 1

0.0059 in.

Question 2

Calculate (0.82 + 0.042)× (4.49 × 10³),keeping only significant figures.

A) 3870.8
B) 3870
C) 3879
D) 3900

Answer 2

3900

Question 3

Two numbers,one with 4 significant figures and the other with 3 significant figures,are combined using the math operations given below.Which operation can give a result with fewer than 3 significant figures?

A) addition
B) subtraction
C) multiplication
D) division

Answer 3

subtraction

Question 4

A furlong is a distance of 220 yards.A fortnight is a time period of two weeks.A horse is running at a speed of 4.00 yards per second.What is his speed in furlongs per fortnight?

A) 2200 furlongs/fortnight
B) 4980 furlongs/fortnight
C) 11,000 furlongs/fortnight
D) 22,000 furlongs/fortnight

Question 5

Modern electroplaters can cover a surface area of 55.0 m² with one troy ounce of gold (volume = 1.611 cm³).What is the thickness of the electroplated gold?

A) 3.64 × 10−⁷ m
B) 1.46 × 10−⁹ m
C) 1.83 × 10−⁶ m
D) 2.93 × 10−⁸ m

Question 6

The basic function of an automobile's carburetor is to atomize the gasoline and mix it with air to promote rapid combustion.Assume that 40 cm³ of gasoline is atomized into N spherical droplets.Each droplet has a radius of 2.0 × 10−⁵ m.Find the total surface area of these N spherical droplets.

A) 60,000 cm²
B) 24,000 cm²
C) 20,000 cm²
D) 2800 cm²

Question 7

A room in a house has a floor area of 160 ft².Which of the following is most likely the approximate volume of the room?

A) 4000 m³
B) 400 m³
C) 40 m³
D) 4 m³

Question 8

A cement truck can pour 40 cubic yards of cement per hour.Express this in ft³/min.

A) 2/3 ft³/min
B) 18 ft³/min
C) 6 ft³/min
D) 2.0 ft³/min

Question 9

On planet Z,the standard unit of length is the foose.Ann the Astronaut is 5.90 feet tall on Earth.She lands on planet Z and is measured to be 94 foosi tall.Her partner Rachael is 83 foosi tall.How tall is Rachael on Earth?

A) 5.2 feet
B) 5.5 feet
C) 5.8 feet
D) 6.3 feet

Question 10

Water flows into a swimming pool at the rate of 12 gal/min.The pool is 16 ft wide,32 ft long and 6.0 ft deep.How long does it take to fill? (1 U.S.gallon = 231 cubic inches)

A) 32 hours
B) 64 hours
C) 48 hours
D) 24 hours

Question 11

A circle has an area of 2.0 m².A second circle has triple the radius of the first.The area of the second circle is _____ times that of the first.

A) 27
B) 9.0
C) 3.0
D) 0.67

Question 12

Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 10.5 × 8.9 × 3.11?

A) 290.6295
B) 290.63
C) 291
D) 290

Question 13

Multiplying a 4 significant figure number by a 3 significant figure number and then dividing the product by a six significant figure number yields a number with how many significant figures?

A) 7/6
B) 3
C) 2
D) 13

Question 14

The number 0.0001070 has how many significant figures?

A) 2
B) 3
C) 4
D) 7

Question 15

Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 12.4 + 14 + 67.37 + 4.201?

A) 98
B) 98.0
C) 97.97
D) 97.971

Question 16

On planet Q the standard unit of volume is called the guppy.Space travelers from Earth have determined that one liter = 38.2 guppies.How many guppies are in 200 liters?

A) 70.2 guppies
B) 9.74 guppies
C) 5.24 guppies
D) 7640 guppies

Question 17

In 1983 the standard meter was redefined to what it is currently.What was the previous definition from 1960 based on?

A) specific alloy bar housed at Sevres,France
B) wavelength of light emitted by certain krypton atoms
C) distance from the Earth's equator to the North Pole
D) the distance light travels in a certain fraction of a second

Question 18

The current standard definition for the second has been based on which of the following?

A) characteristic frequency of the light from cesium atoms
B) average solar day
C) sidereal day
D) Greenwich Civil Time

Question 19

The length and width of a standard sheet of paper is measured,and then the area is found by calculation to be 93.500 in².The number of significant figures in the width measurement must be at least:

A) 5
B) 4
C) 3
D) 2

Question 20

tripling the radius of a sphere results in increasing its volume by a factor of

A) 27π
B) 27
C) 9
D) 3

Question 21

Suppose the interior angles of a triangle are φ1,φ₂,and φ₃,with φ1 > φ_{2 >} φ₃.Which side of the triangle is the shortest?

A) The side opposite φ1.
B) The side opposite φ₂.
C) The side opposite φ₃.
D) More information is needed unless the triangle is a right triangle.

Question 22

A train slowly climbs a 600-m mountain track which is at an angle of 10.0° with respect to the horizontal.How much altitude does it gain?

A) 86.8 m
B) 104 m
C) 106 m
D) 492 m

Question 23

A right triangle has sides 5.0 m,12 m,and 13 m.The largest angle not 90° of this triangle is nearest:

A) 21°.
B) 23°.
C) 67°.
D) Not attainable since this is not a right triangle.

Question 24

The unit slug has what dimensions?

A) L
B) M
C)L / T²
D)T / L²

Question 25

Which point is nearest the y axis?

A) (−3,4)
B) (4,5)
C) (−5,3)
D) (5,−2)

Question 26

If v is velocity,x is position,and t is time,then which equation is not dimensionally correct?

A) t = x/v
B)
= v²/x²
C) v = t/x
D) t² = 2x²/v²

Question 27

Which of the following conversion factors is not exact?

A) 12 in.= 1 ft
B)

C)

D)

Question 28

Note the expression: y = x².Which statement is most consistent with this expression?

A) if y doubles,then x quadruples
B) y is greater than x
C) if x doubles,then y doubles
D) if x doubles,then y quadruples

Question 29

Consider the cosine of any angle between 35° and 40°.If the angle were doubled,what would happen to the cosine of the angle.

A) It would halve.
B) It would decrease to less than half its original value.
C) It would decrease but be more than half its original value.
D) In different cases,it could do any of the above.

Question 30

Each edge of a cube has a length of 50.8 cm.What is the length of a diagonal of the cube going through the center of the cube?

A) 20.0 in
B) 28.8 in
C) 34.6 in
D) 50.8 in

Question 31

Four vectors all have the same magnitude.Vector 1 is at 30°,Vector 2 is at 110°,vector 3 is at 240°,and Vector 4 is at 315°.Which vector has the greatest magnitude x component and which vector has the least magnitude y component?

A) Vector 1,Vector 2
B) Vector 4,Vector 4
C) Vector 1,Vector 1
D) Vector 3,Vector 2

Question 32

If θ and φ are each first quadrant angles,which of the following must be true if sin θ = cos φ?

A) θ + φ = π rad
B) θ + φ = 90°
C) θ - φ = π/2 rad
D) θ = φ

Question 33

If point A is located at coordinates (2,−3)and point B is located at coordinates (−3,9),what is the distance from A to B if the units of the coordinated system are meters?

A) 17 m
B) 10 m
C) 13 m
D) 20 m

Question 34

Volume can be measured in units of m³.Which of the following unit combinations also result in volume?

A) ft²/m
B) cm·ft
C) cm²in.
D) m²·cm·ft

Question 35

A high fountain of water is in the center of a circular pool of water.You walk the circumference of the pool and measure it to be 170 meters.You then stand at the edge of the pool and use a protractor to gauge the angle of elevation of the top of the fountain.It is 51°.How high is the fountain?

A) 17 m
B) 23 m
C) 30 m
D) 33 m

Question 36

A triangle has sides of lengths 14 cm and 50 cm.If the triangle is a right triangle,which of the following could be the length of the third side?

A) 26 cm
B) 36 cm
C) 48 cm
D) 64 cm

Question 37

Of vectors with lengths 5 m,3 m,and 4 m,which has the greatest magnitude x component?

A) the one with length 5 m
B) the one with length 3 m
C) the one with length 4 m
D) It could be any of the three.

Question 38

A student adds two vectors with magnitudes of 200 and 70.Which one of the following is the only possible choice for the magnitude of their sum?

A) 100
B) 280
C) 200
D) 70

Question 39

Vector 1 is 7 units long and is at 70°.Vector 2 is 5 units long and is at 155°.Vector 3 is 3 units long and is at 225°.Which vector has equal-magnitude components?

A) Vector 1
B) Vector 2
C) Vector 3
D) None of the vectors has equal-magnitude components.

Question 40

Vectors ,11ec8724_ ,and Have magnitudes 6,11,and 22.When these vectors are added,what is the least possible magnitude of their addition?

A) 25
B) 15
C) 5
D) 3

Question 41

Vector Is 3.00 units in length and points along the positive x axis;vector
Is 5.00 units in length and points along a direction 150° from the positive x axis.What is the direction of their sum with respect to the positive x axis?

A) 62.0°
B) 13.0°
C) 118°
D) 103°

Question 42

Vector Is 5 m long and vector Is 12 m long.The length of the sum of the vectors must be:

A) some value from 7 m to 17 m.
B) 13 m.
C) 17 m.
D) 8 m.

Question 43

A taxicab moves five blocks due north,five blocks due east,and another three blocks due north.Assume all blocks are of equal size.How far is the taxi from its starting point?

A) 13 blocks
B) 9.4 blocks
C) 9.2 blocks
D) 8.6 blocks

Question 44

Arvin the Ant travels 30 cm eastward,then 25 cm northward,and finally 10 cm westward.In what direction is Arvin now in with respect to his starting point?

A) 59° N of E
B) 29° N of E
C) 29° N of W
D) 51° N of E

Question 45

I walk six miles in a straight line in a direction north of east,and I end up four miles north and several miles east.How many degrees north of east have I walked?

A) 19°
B) 42°
C) 60°
D) 71°

Question 46

Find the sum of the following two vectors: (i)50 units due east and (ii)100 units 30° south of west.

A) 100 units 30° south of west
B) 62 units 54° south of west
C) 87 units 60° south of west
D) 62 units 15° south of west

Question 47

Vector Is 3.0 units in length and points along the positive x axis;vector
Is 5.0 units in length and points along a direction 150° from the positive x axis.What is the magnitude of the resulting vector when vectors 11ecb3e2_5c5d_baf9_8e62_fd897986397b_TB5259_11 And 11ec8724_e492_c935_8f60_17e1eccaebfa_TB34225555_11Are added?

A) 7.0
B) 6.7
C) 2.8
D) 2.1