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

  A football field is 120 yd long and 50 yd wide. What ( dmgj42nap.nis the area of the football p(amgn 2jnd4 .field, in $m^{2}$, if $1 \; yd = 91.44 \; cm$?

  What, approximately, is the percent uncertainty for the m0lblm ;l89gj e dgw5uls9w(8dzs3 cx2easurement 5.2 mA?

  The radius of the Eart/fxlgt0 ,4//0gzbpfm wzqxw , z( +ghzh is 3963 mi. What is the surface area of the Earth in square m/zf mfw4q 0bg0 z l/h,,+/(pxtwxg zgzeters?
($1 \; mi = 1609 \; m$)

  What is the conversion fa :nhsm2 g5vj, n k8x.,*c vuwdv;hei6lctor between $km/h$ and $m/s$?

  Write the number 13.5 gigameters as full (decimal) numbers with stap 8fz fbn bpa (+nx:/e3ea2gk-ndard units.

  An average human has a heart rate of 70 beats per minute. b, pvanq :p1*d If someone's heart beats at tpn a1bq*p:d,vhat average rate over a 70-yr lifetime, how many times would it beat?

  Four students measure the mass of an object, each usinga b/ c-3rkgfof(hpv+w nk1( 3m a different scale. They record their resnr /h3vof bkgm (3-a+(wk cp1fults as follows:
Which student used the most precise scale?

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

  How much longer (perce.8kghbx5 c .hqntage) is a 100 m dash than a 100 yd dash? ($1 \; yd = 0.9146 \; m$)

  A large school district has 300 school buses. If each uq.):m-m*p nk+sil 9g rzsle9school bus is used 3 hours each day, the average speed of the school buses is 15 mi/h, and the fuel economy of the buses is 10 mi/gal. How much does it cost to run these buses in 22 school days if gasoline costs s*pzlsr): +9 mnqmug9.kil e-$1.20 a gallon?

  Which of the following has three s gf9gum3ma8*o vkm9 y0ignificant figures?

  100 mL is equivalent to which of the followi/*k d xxdam8.(z*nb v j0qq/fzng?

  How many meters is sixty kild3fms-qm*k3 4i,yip 7u)wf 9eu17f-d h j ehfvometers?

  Express the following sum with the correen -,qn9,1tudsio 2 ilct number of significant figures: $1.00 \; kg + 1531 \; g + 2.54 \times 10^{4} \; mg$.

  What is the cosine ofsnv,+k h/aqt2 $55 ^{\circ}$ considering siginficant figures? (use your calculator please)

  4567.89 is properly expressed in scientific notation r22 pxha/kppq:2v44f8 po ju4.kuatx as

  The number of significant figures in 0.01500 ilyos 6tm 3qm5u1w exr 41e53kos

  Four students measure thsfbwgc,9 pff8/fh6 /we mass of an object, each using a different scale. They record 6//c, fphfswwf8bfg 9 their results as follows:
Which student used the least precise scale?

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

  The metric prefix for one yj3r))jt pyy(one-thousandth is

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

  Which is the largest qa5+: *vvxstg area?

  A thick-walled metal pipe of length 20.0 cm has an inside diameter olpbn6s 9q-r 9joj3w xe;,lqf1 f 2.00 cm and an outside diq1q; nf9bo9pl elw3-rjj6s, xameter of 2.40 cm. What is the total surface area of the pipe, counting the ends, in $cm^{2}$?

  The position, x, of an obbr4nn ))g 4up m);kdanject is given by the equation $x = A + Bt +Ct^2$, where $t$ refers to time. What are the dimensions of A, B, and C?

  If you are 5 feet 10 inches tall,1qk4i4 yc5i gp4 xg 6zs.eyx7k what is your height in meters? ($1 \; in = 2.54 \; cm$)

  How many basic units does the SI sysx*cr l)5i vu tses:58 z;tjd+ttem have?

  The average life of an animal is 70 years. Assu ox-()wpfbr; oh:g/n ub;vi4 yme one numerical figure, write this in pnpovby4;f)- br:i ;hwx/uo(g ower of ten in seconds.

  A rectangle is 3.25 m long and 1.5 m waryf vt,5cd tybe+h t0..85vride. What is its area?

  The base SI unit of t/ ;*05r6o l3a:dcqvy ge2hwj /wulcxfime is

  Write out the number f lcmk;6,ts:d 4pxk;z$8.42 \times 10^{-5}$ in full with a decimal point and correct number of zeros.

  Write the number 0.00045 in scientific notationlof2o+i9 k 7keb xl)p3 (power of ten notation)

  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 $kg/m^{3}$?

  The number of significant f5h6q-vww3 z bn vgnk0bz316dtigures in 10001 is

  What is the result or lda31qdpqy v h.*4s-f $(0.410 + 0.021) \times (2.20 \times 10^3)$ considering significant figures?

  A person stands 35.0 m from a flag pole. With a protractor at eye h6g7)noovu4lmhrr 1)z flp7, n)xw8c*b)g kklevel, 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? 6gh)kzr)8vcn n,ghko m)7 opu )4l x1w7*lrfb(The distance from his feet to his eyes is 1.7 m.)

  Concrete is sold by the cubic yard. What is the mass, in kilograms, of ook pho;,k ym28ne cubic yard of concrete that is five times as dense as water?2koo;y phm8k , ($1 \; m = 1.094 \; yd$, and $1 m^{3}$ of water has a mass of 1,000 kg.)

  A ball has a radius of 3.23 cm. What is the volume of the bal2yrdh g3q-a4p i/qgz/ l in $m^{3}$?

  0.0001776 can also be expre;hnm l.0vkoe1s .+eb cssed as

  The length and width of a rectangle are 1.125 m and 0.606 m, respectivelyi8yjj33tn kxnav8+ xf))g v e3. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures,j3 3nkvevx ) yt3fai8+8 n)gjx the area should be written as

  The average density pibyvqs7w2u .b* ht,9of blood 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? ($1 \; pt = 1/2 \; L$, $1 \; L = 1000 \; cm^{3}$.)

  How many grams is forty mp;kr 8r1 fw-yqilligrams?

  What is the result of 2.43 divided by 4.561 con m3 fe)otzn*wts,0z wnucz /o lv7c)gsq-.x-2sidering significant figures?

  What is the conversion facto.xn d 56wk9dcar between $km/h^2$ and $m/s^2$?

  A rectangular garden measures 15 m long and 13.7 m wide. What is tgc mo6a a 2bb6)eyzazq99u:.ehe length of a diagonal from one corner of the garden yb2ecbu a6m9) aqoegz.za6:9 to the other?

  The metric prefix for one thqjq -*y88kqisi3 *bfpousand is

  Which one of the following is not equiva-y n,wf2ar, 8gl mt1ml7u8mdblent to 2.50 miles? ($1 \; mi = \; 1.609 \; km = 5280 \; ft$, $1 \; ft = 12 \; in$)

  What is the conversion fac3 :wkg1fy/z8tj oeih /tor between $cm^{2}$ and $m^{2}$?

  A hot air balloon rises to an altitude of 600 fathoms. What is ttfhq ;zw (c/:grt*ple* (l9 g2hgeu 0ihis height, in feet? 2 ; zrugf9e:*p(wih*cgllqh 0t(/et g($1 \; fathom = 6 \; ft$)

  The metric prefix for one one-hundredth is(p )n/cbx+dss

  The length and width of a rectangle are 1.125 m and 0.60i8k/qtr72n0- rou qat6 m, respectively. You calculate the rectangle's perimeter by adding these and multiplying by two. Your calculator's display reads 3.462 To the correct number of significant figures, this should atti8q2-uo7nr k/ q 0rbe written as

  Select the list which contains x830itz 8gtl2aw2a cconly SI basic units.

  What is the percent uncertainty in the measuremek6wx6ce t.4jgnt $2.58 \pm 0.15 \; cm$?

  What is the percent uncertainty in the area of a circle whose radi0j :3h1fz0y yafmk j-sv*qhz -q/b;xd us is $1.8 \times 10^{4} \; cm$?

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

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

  Select the smallest va btvy is)s-7i2:f.:lasb z(gslue.

  A useful method of expressing very small or very)vup072 q1cz ev3kgwj p2pxxc1-w,sc large numbers is

  What is the area of a rectangle with do 8xpnv( b8tr7imension $12.56 \; cm$ and $2.12 \; cm$?

  Starting from city A, a car drives 250 miles east to city B, then 300 mi3 ( qhl0ok;dlfles north to city C, and finally 700 miles west to citqf; dhlk0l(o 3y D. What is the distance between city A and city D?

  All of the following are base units of6ja 8g:h/1-ar4q.z czw gswob the SI system except:

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

  In the CGS system, what are the fdya aln/ir :xpse8 +96g*7hnnundamental units?

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

  What is the difference 103.5 Volts and 102.24 Volts if they respectively -)l ezv+; sahkrepresent two measul h+azvesk ;-)rment values of Voltage?

  The last page of a bo h pn6(*ybdyf/ok is numbered 764.(each sheet is double-sided) The book is 3.00 cm thick. What is the average thickness of a sheet of paper in the book, in centimeteybh(y 6* dnf/prs?

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

  Wall posters are usually sold curl(awl 8o2ljv z(-m/kjk ed up in cylindrical cardboard tubes. If the length of the8(v -ka jmk w(/2jlolz tube is 84.5 cm, 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.)

  Express the number 0.02 dw* 1;3 lw:a uitg/xg: w3qzwc)xexv(days using a prefix.

  What is the volume, and ith 7 xf:hf0).cv* / 5az brxrcy.-fwgrzs approximate uncertainty, of a sphere of radius $1.96 \pm 0.01 \; m$?

  The number of significant figures in 0.040:0,k)8tp c pos9 kf9(pipch;rc ea6ql is

  The mass of an electronx,jx :rc/ 5mrt is $9.1 \times 10^{-31} \; kg$. How many electrons will make a mass of 1.0 kg?

  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 $2.0 \%$ and the uncertainty in $l$ is $5.9 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign.)

  A student measures two lengths as follows: f+sab ncuy802e+6gmf )uraj) $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  A rectangle was drawn using a rule,voef qo7y-;yr, such that each measurement has an uncertaintqy 7, o;-fovyey 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)

  The radius of a circle of wire is mecc u pm 9jlhrj/y/w721asured to be 10.0 ± 1.8 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 time for two events, a and b, / tz;gb7f gm8fare 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?

  A train travels $93.3 \pm 0.3$ meters in $3.390 \pm 0.05$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Please input value without units and without the $\pm$ symbol)

  The lengths of the sides of a room are estimattl6qot;;m he-3bm:u y x3a3khed 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)

  Experimental data haslpedk4(ao8d ;gq;we l*4 mk oati-0r2 shown that:
$$
P=\frac{g h^2}{u^3}
$$
where $g$ is a constant. If the percentage uncertainties in $h$ and $u$ are $a$ and $b$ respectively, what is the percentage uncertainty in $P ?$

  A force of 10.0 ± 0.7 N is applied to a mass of 2.0 ± 0.20 kooz;pg -:2 1rjz jhd,ig, causing it to accelerate. What is the percentage uncertainty of its acc,ojz1;g-hdi jrz o :2peleration?  (数值) % (do not include the percent sign in your result)

  The variation of quantity P as quantity Q varies is plotted. Theory states t6hjyisvx b 8ywi b7.,4hat P should vary bjiw 8sibh,y6xy4 .v7linearly with Q.

  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 $\pm 8 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (please input value without the % sign.)

  A student measures a distance four times. The readings are 37.8 cm rjcm nt,c 81xx*m(dkxw1 amxd61d(r-, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measuremt*cm(cdrk mj-1xaxr1d6 ,xwm1n8x d(ent?

  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 $4.2 \% $ uncertainty in $V$ and a $1.6 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  A student measures a length five times. All of the measurements lie benlmj w78ih.sax zrt :xtv18 (;4lc b)ltween $18.8 \mathrm{~cm}$ 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 length of a pencil is measured using part of a metre rule a1,:afylklmun( 3) b uthat is graduated in millimetnbaf3mlku u()l ,1 ya:res, as shown below.

What is the length of the pencil?

  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

  A water tank is the si qaj8jkh:.az,r 2p+p hape of a cube with sides of $4.49 \mathrm{~m}$. Each side is measured with an uncertainty of $1.3 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Please input value without units and without the $\pm$ symbol)

  The potential difference (3) xlste t8ip:;we8g,kr 7qp .tszzx+$V$) across a resistor is measured with a digital voltmeter to be $0.41 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank.)

  For an object of mass 6t g 7r hsz,.bqpbbe8)$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.7 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

  By averaging three measurements of the same quantity which of the following corx.f m bn+8,uan be reducefn 8o,rxmu .+bd?

  A pyramid has a square base o*fu4s a,g tra;f 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 $4.6 \%$ and $h$ is measured to $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon is measured c)zmlxx 9 ;r3raqixh2 )2jpv/68xwu fto be $24.4 \pm 1.9 \; cm$. 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 piece of string 9.5 ± 0.3 cm long is cut from a longer piece that uw)d0 x5c8pdw:hh4 eur( qc u 3tcr2(sis 12.6 ± 0.3 cm long. How long is the remaining piece of strqpd4u c8 c02h3rt)wd uc(ehxrw: u5s(ing?

  The masses and weights of differenu9serey/e938n qc (2 ,twaygtt7n x3kt objects are independently measured. The graph is a pl9ktstr3 xeeuw2t ny8y geaq 3(c7,9/not of weight versus mass that includes error bars.

What do these experimental results suggest?

  An ammeter has a non-negligible zero offset error. Whizv4ce5 .doc 5zch of the following statements is corre4 5ev.zc5oc dzct?

  The lengths of the sides of a rectangular plate are measured, and the diagrap6ej03(brsq g-n hs x/m shows the measured values with their uncertainties.bs3h j/0 g-6 qnp(srex

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

  The length of a pencil is measured using part of a measuring tape as shown below d+,j-as3m 1 ngqxo,4pair/g g4/jagp o,mrn+g-gx,3 1asdiq .

What is the length of the pencil?

  An experiment used to measure the acceleration due to )wy urpff+-9j gravity produces the followinw)u py-9ffj r+g 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 $9.81 \mathrm{~m} \mathrm{~s}^{-2}$ ).

  The density of a solid sphere is measured with percentage uncertaitxjk.b34i*v o nty of 7%. The radius of the sphere is 1.5 ± 0.4 cm. What is the percentj*3 b 4ktix.ovage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Which of the following is a fundamental unit in the SI system?k0q js:x e5o+s

  If A=10.0 and B=0.50, which cal6n;a8m+wjc,b0 +rvi( z rpoixculation will give the answer with the most decimal places?m80v(wxo+jz nr+;a6b i r,ic p

  A car has a mass of 1000kg. A mouse has a mass ox7y 9rd+ vuyk3f 10g. What is the order of magnitude of the ratio betwe7x9yvy 3 r+kduen the mass of the car to that of the mouse?

  Which of the following contains one fundamenad:a5d smf7 ag0ht+js-p z;4ttal unit and one derived unit?

  What is the value of wqes l44)cq8c$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

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

  Estimate, to the nearest order of magnitude, the number of heartbeats of i2j4o)9xf ogms:ed k9an average adult :)s iom2de4xjof 9g9k human in a day.

  Which of the following could be a unitydg .7i- obi:t of power?

  By approximately how many powers)2+bq/ qfuk,q6z f5+r bxxhny i-qkh+ of ten is the height of a human larger than the height ofur+q+fqn x zihqq kbxk-65yhbf,/+ )2 a grain of sand?

  The volume of the Earth is approximaixx: 9vz, c4rftely $10^{12} \mathrm{~km}^3$ 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?