Which is the largest arear 6ml,, ojpxu3l: xk/l?

  Four students measure the mass of an80 wb1ou,( z xja s*k,2zbvxzs object, each using a different scale. They reco,sj*ou 0xzzw1xbk a b(vz8s,2rd their results as follows:
Which student used the most precise scale?

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

  A thick-walled metal pipe of length 20/wf jo) tuegq,-cv 24t.0 cm has an inside diameter of 2.00 cm and an outside diameter of 2.40 ctvo/t-q u gc2fj 4,ew)m. What is the total surface area of the pipe, counting the ends, in $cm^{2}$?

  Starting from city A, a car drives 250 miles east to city B, thenuh::btl xm x17(x*nex 300 miles north to city 1uh x7 b(nlx:xxt* e:mC, and finally 700 miles west to city D. What is the distance between city A and city D?

  The average density of bloa t)g4 s;ap+o4dbtg.-ui ra*ood 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? ($1 \; pt = 1/2 \; L$, $1 \; L = 1000 \; cm^{3}$.)

  The metric prefix for one one-thousanrx6* l3cyju1zdth is

  How many basic units does the SI system have?(f7gs5 fcsc y)gh,he+2rym : q

  Wall posters are usually sold curlebrgip/ 6,s(z1ruq bc 2d up in cylindrical cardboard tubes. If the length of the tube is 84.5 cm, and the diameter of the tube is 2.40 cm, what is the area of the poster, ingr s/(irpb2c,1q6zub $cm^{2}$? (Assume the poster doesn't overlap itself.)

  The number of significant figures in 10001 i1 gv:v0vj b5rwhisw6 1s

  The position, x, of an objqun6lvg,3 tjnut1lr)7 ;uq3lect 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 signific7 k cor 5en1l/7loglj8s ,m(edant figures in 0.01500 is

  Select the list which-;v.gsrlx +, 3djdcx g contains only SI basic units.

  What, approximately, is the percent unceoemmrs(:x 7 b4 tp/o0ka x6q2fnr*7wsrtainty for the measurement 5.2 mA?

  Express the following sum with the correct number of significakjofo 1.fh5mgq85mm* nt figures: $1.00 \; kg + 1531 \; g + 2.54 \times 10^{4} \; mg$.

  What is the volume, and its approximate uncertainty, of a sponz 6;l/q-j ah3f5lkm)f2 i rshere of radius $1.96 \pm 0.01 \; m$?

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

  Concrete is sold by the cubic yard. What is the mass, in kilograms, of one csoi6j 1og h.,(s:n henubic yard of concrete that is five times as dense a 16hj oghin, on(e:ss.s water? ($1 \; m = 1.094 \; yd$, and $1 m^{3}$ of water has a mass of 1,000 kg.)

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

  What is the result of 2.43 dux*f 60r4mntne o.7zrivided by 4.561 considering significant figures?

  The length and width of a rectangle are 1.125 pn x/ dm(b; zw 0/;ki-pd/mqhzm and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correct number of significant figures, the area should be writt;z/qhmdmi/0( ;-/b zpkwd xp nen as

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

  If you are 5 feet 10 inches tall, what is your height in meters?c pc:iv 71hcv+ ($1 \; in = 2.54 \; cm$)

  The last page of a boy( pfspkd7,8gok is numbered 764.(each sheet is double-sided) The book is 3.00 cm thick. What is the average thickness of a sheet of pap7f(,kpdy8g ps er in the book, in centimeters?

  A football field is 120 yd long and 50 yd wide. What is the area of the footbxmu*cv ,3e/yx)elc 5os b+m8lall field, iyc5xu/b*elo8v m,c3+mxle )s n $m^{2}$, if $1 \; yd = 91.44 \; cm$?

  100 mL is equivalent to which 7sjf h z;srw:1of the following?

  A person stands 35.0 m from a flag pole. Wittb w)s1f365t3ps rk dsh a protractor at eye level, he finds that the angle as psw)6s1 bkf3d5t3rt t 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.)

  What is the percent mc +/al bk(*xq:htf2suncertainty in the measurement $2.58 \pm 0.15 \; cm$?

  How many meters is sixty kilometqze7 +ldq3 2jgcb6erp2w ew9;ers?

  Four students measure the mass of an object, each using a different scale. Theye6ljy 8o4 p2pc record their resuey 46jl2cpo8 plts as follows:
Which student used the least precise scale?

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

  The number of significantrg0 uw+(gi7 gx figures in 0.040 is

  A rectangle is 3.25 m long and 1.5 m widfy w+:tr+ony 7e. What is its area?

  Which of the following has three significant f-0knf87 iwnxn1iy yez a 7p ;,nc,blq2igures?

  The length and width of a x1bgb9uq9 bh4cs.ra* rectangle are 1.125 m and 0.606 m, respectively. You calculatex 9. *brabbg us1q4c9h 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 be written as

  Select the smallest value.; +iwx)qcclf ko9o*,m0fou/ wxg5,i v

  An average human has a heart rate of 70 beats pez h/vuj(dus,0 r minute. If someone's heart beats at that0zvs ud(huj,/ average rate over a 70-yr lifetime, how many times would it beat?

  4567.89 is properly expresses6ff0f ,m )rpypy a*z7d in scientific notation as

  What is the difference 103.5 Volts and 102.24 no5m7 12jty coVolts if they respectively represent two me5nym7tc12 oo jasurment values of Voltage?

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

  What is the conversion factor betw:b3r ac yh:xr +1m9oy8.kdq zteen $cm^{2}$ and $m^{2}$?

  A large school district has 300 school buses. Ifyc sa rz( hr0*h42 -lk+tnsdr7 each school 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 d+dr*st h07k lsy2(ha-c4rn rzoes it cost to run these buses in 22 school days if gasoline costs $1.20 a gallon?

  What is the area of a rectangle with dim(- lddibvk(* qension $12.56 \; cm$ and $2.12 \; cm$?

  All of the following are base units+h4 pymzcq (8y of the SI system except:

  What is the cosine of zh p7cgx lv0dmu;96+jxcrh6 :kk .o ,z$55 ^{\circ}$ considering siginficant figures? (use your calculator please)

  Which one of the following is not la1vi1n,alr+,t 8 qlyequivalent to 2.50 miles? ($1 \; mi = \; 1.609 \; km = 5280 \; ft$, $1 \; ft = 12 \; in$)

  In the CGS system, what are the fue9qrrmd u- p07a-vgq8k8hc6j .w kp+hndamental units?

  A hot air balloon rises to an altitudeodyz+pezr vav)kw)4izs* ( ,3 of 600 fathoms. What is this height, in feezo dk av)zsvi+*wzy4)p (3r,et? ($1 \; fathom = 6 \; ft$)

  The metric prefix for one o3vm xdgkh /j4fh m;85wne-hundredth is

  How many grams is fort90k:ny.6 tqfp qbz* md u0(oaqy milligrams?

  Write out the number mco j3(*)e mpanz5wu)$8.42 \times 10^{-5}$ in full with a decimal point and correct number of zeros.

  0.0001776 can also be expressxq9 .rac4pbpe h*j0 1w7cjd 4eed as

  Express the number 0.0*,1t xeec0* bedqyb7b :m*csj2 days using a prefix.

  A rectangular garden measures 15 m long and 13.7 m wide. What is thnxn3h0; e8k3kc zso duo/- 2eahg h;e;e length of a diagonal from one corner of the garden to the zeohcgnh3a3 ;nh0d;x/uek2; o k-8e sother?

  The average life of an animal is 70 years. Assume one numerical figure, writ0ghrots2r5tg )kle py0c1 -.de this in power of ten in 2).gp0e0 h1ck r 5yrstotgl d-seconds.

  What is the conversion ftd,j u9-w ,pgiactor between $km/h^2$ and $m/s^2$?

  A ball has a radius of 3.23 cm. What is the volum.;gftgv thrc bz /40)be of the ball in $m^{3}$?

  What is the conversion factor between :; p q)0w/giglxsmv9hf m4xlg,lt -5v$km/h$ and $m/s$?

  What is the result oq6zr -0ja.o sqf $(0.410 + 0.021) \times (2.20 \times 10^3)$ considering significant figures?

  The mass of an electron i7+jg ylh 7q60c :esatgs $9.1 \times 10^{-31} \; kg$. How many electrons will make a mass of 1.0 kg?

  The radius of the Earth is 3963 mi. What is the surface hk6 hc6+.mlciarea of the Earth in square cl66h + .hckimmeters?
($1 \; mi = 1609 \; m$)

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

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

  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 $kg/m^{3}$?

  A useful method of expressing very sma-5ocn:e *ip9bmz.h ialdc5.rll or very large numbers is

  The metric prefix for one thousand5sd5 kyvz1/*m x.rgkj is

  How much longer (percentag55 o4 kg4sclig8.urvndr va -)e) is a 100 m dash than a 100 yd dash? ($1 \; yd = 0.9146 \; m$)

  Write the number 13.5 gigameters as full (decimal) numbers with sta( is bf)unw;5sf3agdm011lw il) p(sandard units.

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

  What is the percent uncertainty in the area of a circle whose radius is czg ;d1vol1x5 $1.8 \times 10^{4} \; cm$?

  The base SI unit of time i pjibm6; 0pk tdo8dt+1s

  Write the number 0.00045 in scientific notation (power of ten notationv)mcfgdy;i6n9cy .(, zp y*te)

  The length of a pencil is measured using part of a 8s)jdc fp(cll3-fl pw 64of i+measuring tape as shown below8jpsc i36l lcf-fd)wpl4 ( f+o.

What is the length of the pencil?

  By averaging three mt.ndab,/i- u9jpirf8 easurements of the same quantity which of the following can be reduced8 ,9 jpfr-di/ .tnibua?

  The length of a pencil is measured using part of a metre rule that is gradumt4 uy rr -p9/y/bgx1hated in m4y/rhmu pgr -/1x9t ybillimetres, as shown below.

What is the length of the pencil?

  A pyramid has a square base of7 nhzsiqsu +/5 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 $7.2 \%$ and $h$ is measured to $5 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  A water tank is the shape we(o/7/rp s5o1 c himnof a cube with sides of $2.68 \mathrm{~m}$. Each side is measured with an uncertainty of $2.3 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Please input value without units and without the $\pm$ symbol)

  The variation of quantity P m2dlhid )n+mfhfz+* 3as quantity Q varies is plotted. Theory states that P should vary linearly with Q.ndf2+h*h z l +idfm)m3

  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 $3.1 \% $ uncertainty in $V$ and a $3.3 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The potential difference bu9tglp:b1; wenccb(v,13m s($V$) across a resistor is measured with a digital voltmeter to be $0.27 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank.)

  An ammeter has a non-negligible zero offset error. Whicf. k y 8e gktc:p(4yebbr2*dp1h of the following statements is correc28py.kd 1feey *c :4rb(gtpkbt?

  The lengths of the sides n9y(d w(dl rn*of a rectangular plate are measured, and the diagram shows the measure*dy(lw9rd (nn d values with their uncertainties.

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

  A piece of string 9.5 ± 0.2 cm long is cut from a longer piece that is 12.6 ± 0hc 4jaba,2*gr .7 cm long. How long is the ,hgc4a*rja b2remaining piece of string?

  A rectangle was drawn using a ruler, such that each measurement has mgo-rtz /)uqwhvu37 5 an uncertainty o5)o-vz rut muw/3h7gqf $0.5 \mathrm{~cm} .$

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)

  An experiment used to measure peb1 d f3+ lnxs(v(wk()eckg7the acceleration due to gravity produces the following rev d)(xpsk3lwn7e +e(fkgb1( c sults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 force of 10.0 ± 1.0 N isqrpn9r p v45 w99 aa4il:tf w6v,g;knz applied to a mass of 2.0 ± 0.20 kg, causing it to accelerate. What is the percentage uncertainr6lgq:z4 v9p ;i t9kr,pw v9nfna4aw5ty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The masses and weights of difp9tk -( ;ium4lcpnyvr72ny 2kovx+/zferent objects are independently measured. The graph is a plot of weight versus mass that includes errorz y9u+i pm(cxlyk2k/v -nr;v4t nop7 2 bars.

What do these experimental results suggest?

  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 student measures a length five times. All of the measw7 s9:8.irg qvgc+tqd urements 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)

  Experimental data has shovrlt7 (u9 jy0+cbftu+ wn 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 $P ?$

  The radius of a ball0c bssnl1t+;uc2 c4 wqoon is measured to be $17.8 \pm 1.8 \; cm$. 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)

  The lengths of the sides of77 t n*b4:fcsarx8kqi a room are estimated 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)

  The radius of a circle of wire is measured to be 10.0 ± 3ml:w j 5 r-e l/iu:ok9zwg*ta0.6 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 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 $0.9 \%$ and the uncertainty in $l$ is $5.0 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign.)

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cmbfxd m.79tzoy(e75 ts, 38.1 cm, 38.2 cm. What is the best estimate of this measurement?t97eytsx .o(f m b7z5d

  A student measures twon 1,j70pkj e9pwglvi7r.0mdp lengths 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 train travels $60.4 \pm 0.2$ meters in $12.312 \pm 0.07$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Please input value without units and without the $\pm$ symbol)

  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 $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 9 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (please input value without the % sign.)

  The density of a solid sphere is measurey)/oo/+cuud6y- ppu(f w ixp 8d with percentage uncertainty of 7%. The radius of the sphere is 5.6 ±oo6u-+ufwpd /(yp)yix8 p u/c 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)

  For an object of mass 9 1fyr rt5ka*5nmtifhi) m*c2o 5tu.p$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.3 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

  The time for two events, a and b, are measured t)6l. zmk5 ysj/d+gr-uuzbpv :qk l,.ro 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?

  The volume of the Earth is approxi h6 /f(2dg+ sdc2zznnl8y/e cqmately $10^{12} \mathrm{~km}^3$ 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?

  Estimate, to the nearest order of magnitude, the number of heartbeatsx50((e ojlw sf of an average adultjfw0xo s l5e(( human in a day.

  What is the value ofm qx 11+0cixi2 vfjr0 atse(l8 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following contains one funda,rx7 co6bb.c+nq( cq kmental unit and one derived unit?

  Which of the following is a fundamental unit in the SI s d omd)g)p,1q a0;km 9+okgrlrystem?

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

  A car has a mass of 1000kg. A mouse hasv9yz,r /jc o0i a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of the mouse 9vcyzjri o0,/?

  By approximately how many powuko r/:qwl x 9qh4/g-d fzryl(6 k4pt3ers of ten is the height of a human larger than the height of a grain or 3:q(d pzulwfkrlo/ kgyth-9 / q44x6f sand?

  If A=10.0 and B=0.50, which calculation will give the answer with*m nj:dx uh dasm24/k5 the most decim54hm sx2u*/dknma :j dal places?

  Which of the followincaoz m etc7 e87 b6pu,,knh8p9g could be a unit of power?