$1 \; angstrom = 10^{-10} \; m$ and $1 \; fermi = 10^{-15} \; m$, what is the relationship between these units?

  The number of significant )pxcjwsu4s2k ibh )o+ cf0:s;figures in 0.040 is

  What is the conversion factor between v cnvylar: v 1xz. nla)1:xactj2 i00:$km/h^2$ and $m/s^2$?

  A useful method of expressing ver-e3p cf d80qbg)7 tawzy small or very large numbers is

  $0.00325 \times 10^{-8} \; cm$ can also be expressed in mm as

  4567.89 is properly expressed pol59z6 a xi35g5bw qsl69* bk anu8diin scientific notation as

  Select the smallest v/a o ;s/rbzh(2q8pbnt1le u g8alue.

  The length and width of a rectangle are 1.a7s lwldj/gxi1ot) es+:*ogc l7 51mf125 m and 0.606 m, respectively. You calculate the rectangle's perimeter by atf :1+e 1 ojloigll7d5m/ sagc)swx *7dding these and multiplying by two. Your calculator's display reads 3.462 To the correct number of significant figures, this should be written as

  The radius of the Earth is 3963 m3(jfnb4zx qorv,v j9:i. What is the surface area of the Earth in squa:j,xojvq r n(4f 3vbz9re meters?
($1 \; mi = 1609 \; m$)

  How many m/s is $50 \; mi/h$ equivalent to? ($1 \; mi = 1609 \; m$)

  What is the percent uncertainthbz55fqzgz6. :kzus 8y in the area of a circle whose radius is $1.8 \times 10^{4} \; cm$?

  How many basic units does the SI ro 7;nr/k3fx5rer)cquyigfc:,dx x )/9dh n8system have?

  What is the sum of $2.67 \; cm + 1.976 \; cm + 2.1 \; cm$ considering significant figures?

  The average density of bltm6bsbkv73.2fh +oa ob brr/ 3ood is $1.06 \times 10^3 \; kg/m^{3}$. If you donate a pint of blood to the Red Cross, what mass of blood have you donated, in grams? ($1 \; pt = 1/2 \; L$, $1 \; L = 1000 \; cm^{3}$.)

  Select the list which contains only SI basic units.zofl;y i,tsmlmk) )vnbyc +s29 1h7 n9

  What is the volume, ap+n hx u340y ,z :6pv2nthbc ffw2tcj,nd its approximate uncertainty, of a sphere of radius $1.96 \pm 0.01 \; m$?

  A large school district has 300 school buses. If each school bus is used 3 houo,fqdsr vm0wtc. :(+srs each day, the average speed of the school buses is 15 mi/h, and the fuel economy of the buses is 10 mi+wo.f,ct dm sq0v (s:r/gal. How much does it cost to run these buses in 22 school days if gasoline costs $1.20 a gallon?

  How many grams is forty milligrab .3wrj/rh. z7j8tyuims?

  A hot air balloon rises to +56;9ug ;gszh zcmxa jan altitude of 600 fathoms. What is this height, in fee;xgau5+cz 6zsgm;h9j t? ($1 \; fathom = 6 \; ft$)

  Write out the number umz+ of0ck2m/z fh i;;$8.42 \times 10^{-5}$ in full with a decimal point and correct number of zeros.

  What is the cosine ofq mq8sjjhq4)) $55 ^{\circ}$ considering siginficant figures? (use your calculator please)

  The average life of an animal is 70 years. Assume onei*3gg:cfed 0 f numerical figure, write td geif c:3f0g*his in power of ten in seconds.

  The base SI unit of txubf/ekzg*8bm)wq c nz69; l3ime is

  A person stands 35.0 aw)7p,tw q6eg m from a flag pole. With a protractor at eye level, he finds that the angle at the top of the flag pole makes with the horizontal is 25.0 degrees. How high is the flag pole? (The distance from his feet to his eyes is 1.7 m. , e)67wqtagpw)

  An average human has a heart rate of 70 beats per minute. If so 4avwg, +rsdc v)e61timeone's heart beats at that average rate over a 70-yr lifetime, how many times would g6vec14+dasti)vr w,it beat?

  Which one of the follob5i1h-v 1bua 8wwj8 mrwing is not equivalent to 2.50 miles? ($1 \; mi = \; 1.609 \; km = 5280 \; ft$, $1 \; ft = 12 \; in$)

  If you are 5 feet 10 inches tall, what is your height in mr.4bv. sguud- eters? ($1 \; in = 2.54 \; cm$)

  What is the percent uncertainty in the mecaw3y2:n3uey)x 5e j lasurement $2.58 \pm 0.15 \; cm$?

  A football field is 120 yd long ab(zex 1vai5l7nd 50 yd wide. What is the area of the football1zxb5iva el( 7 field, in $m^{2}$, if $1 \; yd = 91.44 \; cm$?

  How many meters is sixty kilometer;wci /rnc-( )j,jxhqj s?

  What is the difference 103.5 Vph +/zz m7tm,molts and 102.24 Volts if they respectively represent7t+mmz,hzmp / two measurment values of Voltage?

  The metric prefix for one thousand4w- +l1n-hbxwe,wgekrg sh267b; b qo is

  If $1 \; inch = 2.54 \; cm$, how many square centimeters are in 1.00 square inch?

  Write the number 0.00045 in scientific not gt l)8yuw.mv u.zen2*ation (power of ten notation)

  What is the area of a rectangle with dimensax,2x66ud/8 jme+2; zjcy+qa pcjk meion $12.56 \; cm$ and $2.12 \; cm$?

  Wall posters are usualyyut3m/zc um 1*f6xe1ly sold curled up in cylindrical cardboard tubes. If the length of the tube is 84.5 cmyymcx3m e11t fz*6 /uu, and the diameter of the tube is 2.40 cm, what is the area of the poster, in $cm^{2}$? (Assume the poster doesn't overlap itself.)

  The mass of Mars, $6.40 \times 10^{23} \; kg$, is about one-tenth that of the Earth, and its radius, 3395 km, is about half that of Earth. What is the mean density of Mars in $kg/m^{3}$?

  Which of the following has three si02q-yo9m lihzw 1ht*c s gl)g8gnificant figures?

  Convert $1.2 \times 10^{-3}$ to its decimal notation.

  The metric prefix for one oxr2)7wec -syop 6q:opw b)e1 une-thousandth is

  What is the conversion factor between 1o4wenbk3 66 mb 1trgi$cm^{2}$ and $m^{2}$?

  The length and width of a rectangle are 1.125 m and 0.606 m, respeu d95wpv3 cs )c5xa+plctively. Multipld scvw + 39ua5lc)p5xpying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area should be written as

  The mass of an electron 2+cd u47ubb izkzmr i/09 9sewis $9.1 \times 10^{-31} \; kg$. How many electrons will make a mass of 1.0 kg?

  What is the conversion factor betwe vx a-ra1w*j2t/w ux:bup1 fp(en $km/h$ and $m/s$?

  The position, x, of be3 0a(pv:nznan object is given by the equation $x = A + Bt +Ct^2$, where $t$ refers to time. What are the dimensions of A, B, and C?

  The number of significant figures in 0.01500 is - zs;oe75metb

  If $1 \; inch = 2.54 \; cm$, and $1 \; yd = 36 \; in$, how many meters are in 7.00 yd?

  The number of significant figurah ) of0j3bal5svxr ga101jqo1v 25 tees in 10001 is

  0.0001776 can also be expressed as/s 3e7s.jlmqd+k qth(n 9a c)a

  Four students measure the mass of7f,h * i ,rm )vhtoo2m3ijpeb3 an object, each using a different scale. They recortof2hv)7ehi j or,i3 m b3*pm,d their results as follows:
Which student used the least precise scale?

Student	Mass (g)
A	49.06
B	49
C	50
D	49.2

  A rectangular garden measure-zbxc +( y9dgus 15 m long and 13.7 m wide. What is the length of a diagonal from one corner of the gzb+(ug9c yd x-arden to the other?

  Starting from city A, a car drives 250 miles east to city 1m5z)wfb9 xci B, then 300 miles north to city C, and finallb51c9 izfm )xwy 700 miles west to city D. What is the distance between city A and city D?

  The last page of a book is numbered 764.(each sheet is double-sided) cdr:bc8g3 bvi2in6t8 The book is 3.00 cm thick. What is the average thickness of a sheet of paper in the book, in centimeb i 38cdcg8b 2:n6vtirters?

  What is the result of cnjf5 za5lf;8$(0.410 + 0.021) \times (2.20 \times 10^3)$ considering significant figures?

  Concrete is sold by the cubic yard. What is the mass, in kilogram x +yty:ml(1.h j 5j4fhcp1wzks, of one cubic yard of concrete that is five times as dense a4mtcy1jl jf 1k(+ xhhyz.5 w:ps water? ($1 \; m = 1.094 \; yd$, and $1 m^{3}$ of water has a mass of 1,000 kg.)

  A thick-walled metal pipe of length 9obo/5zb4gxl 20.0 cm has an inside diameter of 2.00 cm and an outside diameter of 2.40 cm. What is the total surface g4b x9 5/lozobarea of the pipe, counting the ends, in $cm^{2}$?

  A rectangle is 3.25 m long and 1.5 m wide. What is its aree*wc*u 7 g*hvga?

  Write the number 13.5 rn i : c0orh9s, :xbep6.xahp:gigameters as full (decimal) numbers with standard units.

  What, approximately, is the percent uncertai( ou m:wtn/ae1nty for the measurement 5.2 mA?

  Four students measure the mass of an objx. e(cm egs9cx 02rlh a3jd:k xh8d-3ject, each using a different scale. They r:gxj.lx(-93edesk0 x 8 m hc2ha3drcjecord their results as follows:
Which student used the most precise scale?

Student	Mass (g)
A	49.06
B	49
C	50
D	49.2

  In the CGS system, what are the fundamental units: z+g, jv6faes?

  How much longer (percentage) is a ma*s :vqjo (f*100 m dash than a 100 yd dash? ($1 \; yd = 0.9146 \; m$)

  All of the following are base u s+9xj l;x/nwfl f;ic5h, 5gnrnits of the SI system except:

  What is the result of 2.43 divided by 4.561 consid cqsw -c(vt 5bi81gvz:ering significant figures?

  Express the following sum with the correct number of significant figuwyie3n,ue kpv2. yghhke9q-a, x)( xtr)7 4su res: $1.00 \; kg + 1531 \; g + 2.54 \times 10^{4} \; mg$.

  100 mL is equivalent to which of xx pm3xssq p (5uq0jz58r,+gnthe following?

  Express the number 0.02 days using a preocyzvo etr 6r+h7i42yy(46uffix.

  A ball has a radius of 3.23 cm. What is the lpp12a-a (c n.g)o m0c i3tejgvolume of the ball in $m^{3}$?

  The metric prefix for one one-hundredt-zb;awy p;i fm 50fiwy6a4;9k igh(vah is

  Which is the largest ares oqkyg)rg35* a?

  An ammeter has a non-negligible zero offset error. Which of the following statjo-wkh(sc5py(u ra6 3g;acg: ements is correct(gjyau3 k:ch(;r-c6sgwop a 5?

  A student measures a distance four times. The readings are j3z c0m rhd)r(v3*u ul37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the besjr0uhr3c)dl(z3 u v* mt estimate of this measurement?

  A force of 10.0 ± 0.9 N is applied to a mass of 2.0 ± 0.08 kg, causing it to ac7ub.lsob.b:jr :se2m celerate. es.r.b m:bsu7 jb:lo2What is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The period $T$ of oscillation of a pendulum of length $l$ is given by:
$$T=2 \pi \sqrt{\frac{l}{g}} .$$
If the uncertainty in $g$ is $1.9 \%$ and the uncertainty in $l$ is $4.2 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign.)

  Experimental data has shown tk7vs u-iitca/1-2jt ghat:
$$
P=\frac{g h^2}{u^3}
$$
where $g$ is a constant. If the percentage uncertainties in $h$ and $u$ are $a$ and $b$ respectively, what is the percentage uncertainty in $P ?$

  The radius of a circle of wire is f,.utky ig .:ymeasured to be 10.0 ± 0.3 cm.
What is the percentage error in the area of the loop?  (数值) %
What is the percentage error in the circumference of the loop?  (数值) %

  The radius of a balloogg+m. u-(71w 04vwls98qhxo igvmp rfn is measured to be $18.4 \pm 1.5 \; cm$. What is the percentage uncertainty in the calculated volume of the balloon?  (数值) % (Please exclude the $\%$ symbol with your answer and treat the balloon as a sphere)

  A student measures two f7hr/.syj;:7g abchmlengths as follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  A piece of string 9.5 ± 0.1 cm long is cut from a longer piece that is 12. ;fomd3hor,4j6 ± 0.4 cm long. How long is the remainingm3jdhroo;f, 4 piece of string?

  A student measures a length five times. All of tkd.vh .7fh u.+ ibyjjwvp1., jhe measurements lie between $18.8 \mathrm{~cm}$ and $19.2 \mathrm{~cm}$. What should the student quote as the absolute uncertainty in the length? The absolute uncertainty is    $cm$ (Do not include the $\pm$ symbol nor the unit)

  The variation of quantity P au)c/bvrv m j0;s quantity Q varies is plotted. Theory states that P should var)cr /umv0;vjb y linearly with Q.

  By averaging three measurements of the same quant, gr1ued ;p wp/icz/r1ity which of the following can begeprpcd,1;/w/z1ru i reduced?

  The volume $V$ of a cone of height $h$ and radius $r$ is given by the expression:
$$V=\frac{\pi r^2 h}{3}$$
In a particular experiment, there is a $6.1 \% $ uncertainty in $V$ and a $2.4 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  A rectangle was drawn using a ruler, such that each meam b 8d; mtlw.vbg:y7pas4.*vt:xt*ynsurement has an uncertain:x4vy.mwylvbsa. m8bdn:7* g; ptt *tty of $0.5 \mathrm{~cm} .$

What is the absolute uncertainty in the area of the entire rectangle (i.e. combined small and big rectangles), in $\mathrm{cm}^2$ ?    $cm^2$ (Only input value without units)

  A current of value $I$ flows through a resistor of resistance $R$ and the power dissipated is $I^2 R$. The value of $I$ has an uncertainty of $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 5 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (please input value without the % sign.)

  The length of a pencil is meaux c*9qg5w f.wj 8d6( d1 yzq)cu0qpogsured using part of a measuring tape as shown below.8 . qgcy xcj z6w*(wu5gqud9)qpo0fd1

What is the length of the pencil?

  An experiment used to measure the acceleration due to gra+lbsf:(aqfh/o8wy;l,0ph7rs gn8/9jf vxy b vity produces the followi,v ox8fbsr/fhjyyqw h+ (/g:p7a n0s9;blfl8ng results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
Which of the following statements is true about these data?
Are there random or systematic errors, both, or neither?
(Acceleration due to gravity, $g$, on Earth is usually taken as $9.81 \mathrm{~m} \mathrm{~s}^{-2}$ ).

  A water tank is the shape of a cube with m pt;c*z28 p/qaarnb+sides of $5.11 \mathrm{~m}$. Each side is measured with an uncertainty of $0.1 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Please input value without units and without the $\pm$ symbol)

  The lengths of the sides of a rectangular plyavozku-p; e. 0 (s)spate are measured, and the diagram shows the measured vala yoz-sksv(.;0u ) ppeues with their uncertainties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The lengths of the sides of a room are estimate4azn 48r ,x 6klxuw9ngd as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 2 \%$. What is the absolute uncertainty in the volume of the room?  (数值)  $m^3$ (Please input value without units and without the $\pm$ symbol)

  For an object of mass ks2(tynj*9.)ldd rfd $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

  The resistance $R$, and cross-sectional area $A$, of equal lengths of wire are measured at constant temperature and a graph of $R$ against $\frac{1}{A}$ is plotted. Which one of the following graphs would be obtained if $R$ is directly proportional to $\frac{1}{A}$ and if there is a significant systematic error in the measurement of $R ?$
A B

C D

  The density of a solid sphere ise ovi4etu:eym:;a;d- measured with percentage uncertainty of 5%. The radius of theme dea:v;yo -t4i; e:u sphere is 2.4 ± 0.4 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  The length of a pencil is measured using part of a metre rule that is graduatey:ut lxg 5bs5/bnc7 o,d l5x/,nb75o:btcs guyin millimetres, as shown below.

What is the length of the pencil?

  The potential differ 8a r/;m6r,fm6o9 0q 7qofdtpfwgex0yence ($V$) across a resistor is measured with a digital voltmeter to be $0.51 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank.)

  A pyramid has a squarzcn+ zd,.rsfdq7a h (0e base of side $x$ and height $h$. The volume $V$ of the pyramid is given by the expression:
$$V=\frac{x^2 h}{3}$$
If $V$ is measured to $7.6 \%$ and $h$ is measured to $5 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The masses and weights of different objects are independently measuyi,sot 4 s 3yc/vxe01plb3 *zhred. The graph is a plot of weight versus mass that i /pyh3ictesv* ,sb3oy14lxz0 ncludes error bars.

What do these experimental results suggest?

  A train travels $75.4 \pm 0.2$ meters in $12.614 \pm 0.06$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Please input value without units and without the $\pm$ symbol)

  The time for two events,j-so w*tv8 5jb a and b, are measured to be $(5.1 \pm 0.1)s$ and $(4.9 \pm 0.1)s$ respectively. In which of the following quantities is the fractional(percent) uncertainty the smallest?

  Which of the following is a fundamvag0xs+g if5: vt* n4wental unit in the SI system?

  If A=10.0 and B=0.50, which calculation will give the answer with the most dkq9yz9jjbka.k31n z/ ecim9.j k1b /3zykzak9qjnal places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the a;3uc*tmzuqgaz 0-2kxse *4porder of magnitude of the ratio between the mass of the car to that of q2cu3;*e 0z axst4u*zpk- m agthe mouse?

  By approximately how many powers of ten is the height of a human lcqbo(x9)k+ *xm0diue arger than the height of a grain of oc x*(mieb+uq9x0)dksand?

  Which of the following contains one fundamrc7k n 09ml,btental unit and one derived unit?

  What is the value of h9 3lsow:5 jxy$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following could be a b. 4 zwu: 4mmit1f3hejunit of power?

  Estimate, to the nearest order of magnitude, they2+wwsiezj (6uigbm9z ;8pkp:1 fo/e number of heartbeats of an average ad:2zp ig ym1o w(zek96+jpw/iebs; uf8ult human in a day.

  A farmer in Tanzania has an average life expectancy of 62 years. Which of the following is an estimate of his lifetime in seconds?

  The volume of the Earth is approximat ox+3;p jcdwyh klf,py)e. 5z;ely $10^{12} \mathrm{~km}^3$ and the volume of a grain of sand is approximately $1 \mathrm{~mm}^3$. To the nearest order of magnitude, if the Earth was hollow, how many grains of sand could it contain?