What is the conversiona)cx w.u3 tl6z factor between $cm^{2}$ and $m^{2}$?

  The length and width of a rectangle are 1.125 m and 0.606 m, respectively. You h/qdmebqypo63 s58lszq)24v calculate the rectangle's perimeter by adding these and mul/qbq s8el64qm52 )hdyzpo s3v tiplying by two. Your calculator's display reads 3.462 To the correct number of significant figures, this should be written as

  A person stands 35.0 m from a flag pole. With a protractor at eye levo9m snr +w)a4bel, he finds that the angle at the top of the flagwsa+)r 4nb om9 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.)

  How many meters is si2 d4csad 1evb:xty kilometers?

  A useful method of expressing very small or very large97xm zn q+,twj numbers is

  The number of signifszmzi98fw 21 h2 dmd9ricant figures in 10001 is

  How much longer (percenta;j )f.o sfrgtx fh, xlp+c12g6ge) is a 100 m dash than a 100 yd dash? ($1 \; yd = 0.9146 \; m$)

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

  The position, x, of an object ,yvuh domn73- is given by the equation $x = A + Bt +Ct^2$, where $t$ refers to time. What are the dimensions of A, B, and C?

  How many grams is forty milligrams?0x5q(polbi w. h 03)lit+nyen

  Which is the largest alechqkpdf39j )dv*sv 13qx1 1rea?

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

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

  What, approximately, is the percent uncertainty for the mea2w8;;vwo wxdw4 dpvft q1) w1nsurement 5.2 mA?

  Four students measure the mass of an object, lr tif:jjs.5xf inqq/o x6827each using a different scale. They record tnx5 lx8qif7 i sf.jt6 r/qo2j:heir results as follows:
Which student used the most precise scale?

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

  The metric prefix for one one-thousandmzrway( ,sw /)th is

  Concrete is sold by the cubic yard. What is the mass, in kilogr ,,wg+xeoh (muq-lyu1ams, of one cubic yard of concrete that is five times as dense as water+g ,equx -1l(uyho,mw? ($1 \; m = 1.094 \; yd$, and $1 m^{3}$ of water has a mass of 1,000 kg.)

  4567.89 is properly expressed in scientific nota ;a4j pht3o jv*suwg99tion as

  The average density of blooezwdgt g.+f/0.mm dm7 x0nxs(d 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 base SI unit of time ip 9d.g bnk55mrs

  Four students measure the mass of an object, each using a different scale. They3fv/9ul g/4z4 5ax w85mhsid ecnt3d w record the5/83zlue3 xwtdmc4wgh ifd v/sa n94 5ir results as follows:
Which student used the least precise scale?

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

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

  Express the following sum withh7qf;yimn (z*)tre e esa2;zu;4f;s l the correct number of significant figures: $1.00 \; kg + 1531 \; g + 2.54 \times 10^{4} \; mg$.

  Starting from city A, a ca/6tac 9u4eekkr drives 250 miles east to city B, then 300 miles north to city C, and finally 700 miles west to cit4t/9ukca6e k ey D. What is the distance between city A and city D?

  What is the result of 2.43 divided by 4.561 consyjc(p,cq gyy6l7 okj+- h3k x-idering significant figures?

  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 $kg/m^{3}$?

  What is the percent uncertainty in the area of a circle whose radius pivp wgw28 mw5-7i -oais $1.8 \times 10^{4} \; cm$?

  A rectangular garden measures 15 m long and 13.7 m wide. What x*puck1y.qk(3 z 1yeu is the length of a diagonal from one corner of the garden to the other? x1y1 yk .uecq(k3p*uz

  0.0001776 can also be expressed as4ttlmj9s hz 4uf pt,,1u;.psf

  A hot air balloon rises to an altitude of 600 fathoms. What is this hw4 u0q.d6kmz *lcf.e meight, in feet?0.qwezlcm6k . du4m* f ($1 \; fathom = 6 \; ft$)

  What is the volume, and its anujly j o*t 9d-jbe1o128sps:pproximate uncertainty, of a sphere of radius $1.96 \pm 0.01 \; m$?

  What is the area of arp yhg*i/a1 l- rectangle with dimension $12.56 \; cm$ and $2.12 \; cm$?

  Write the number 13.5 gigameters as full (deci npbw)3ia* y*b3 qwu1nmal) numbers with standard units.

  The mass of an electron p) ido:d) wp9s8(ceoais $9.1 \times 10^{-31} \; kg$. How many electrons will make a mass of 1.0 kg?

  A rectangle is 3.25 m long uxm l;k6if8e6.:owtuand 1.5 m wide. What is its area?

  What is the percent uncertainty irlmk ;9s(j9cw n the measurement $2.58 \pm 0.15 \; cm$?

  100 mL is equivalent to which of the6f/ 1dbadbjmvi/ 6 8d9grn /gx following?

  A thick-walled metal pipe of length 20.0 cm has an inside di:zc bydvmrc4-/ha 1jp 5ck,0b ameter of 2.00 cm and an outside diameter of 2.40 cm. What is the total surface area of j/ydazcc5r-v k1mb,0 b4:phcthe pipe, counting the ends, in $cm^{2}$?

  The length and width of a rectangle arej*5mu7(g cz rw 1.125 m 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 written g mc5ruj 7w(*zas

  How many basic units does the SI sys xo /ye2dlniu ryv -5w4x2m6o3tem have?

  A ball has a radius of 3.23 aqwh)4ipd0, k 1v/bctcm. What is the volume of the ball in $m^{3}$?

  What is the cosine of dy tpr5nu*(rh9n4x7 wqg *s1q$55 ^{\circ}$ considering siginficant figures? (use your calculator please)

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

  Select the smallest value., 1etceslgf-1

  The metric prefix for o;i/fmy5vgsfe9exk g(,y x.o 9 ne thousand is

  The last page of a book ispb5,m8g r: gdg(z)kw z*dz/p g 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 t z r z*zkdg/p wpg(8g)bg,m5d:he book, in centimeters?

  What is the result o aady/ arq, -2dk*kuw)f $(0.410 + 0.021) \times (2.20 \times 10^3)$ considering significant figures?

  Write the number 0.00045 in scientific notation (poq2dufl,7l *r,1ibzk od7gx:swer of ten notation)

  The metric prefix for one one-hundredt fc/)4n+umxlh1xl4n xg-k8 i oyqib/5h is

  A football field is 120 yd lo,-ihi:x r phu.epg+b6ng and 50 yd wide. What is the area of the football field, in+6 pi,heguhrb-x:i. p $m^{2}$, if $1 \; yd = 91.44 \; cm$?

  If you are 5 feet 10 inches tall, wha6hiq6o2p ; zcut is your height in meters? ($1 \; in = 2.54 \; cm$)

  The average life of an animal is 70 years. Assume one numerical figure, wri i rqec:m(,4rb t hbd3 655mmfslk;n8gte this in power of ten bbcgm r mqnhet,4i56 3dfls: m(8rk5;in seconds.

  The number of significant figures in xcsxic r;4t8vmu4 6 j .-h7 irm8gutq40.040 is

  Select the list which contains only SI t/vr7fwp:b.qn.+ vjkbasic units.

  All of the following are base units of tmyhx)v68/d x jd y4(bghe SI system except:

  In the CGS system, what are the fundamentaln y7y)l*rkq,x0 bp+zm ux6,afu 0c1m d units?

  Write out the numbersc,q(6wt 7in r $8.42 \times 10^{-5}$ in full with a decimal point and correct number of zeros.

  Which one of the following isj5i :p/8c btad not equivalent to 2.50 miles? ($1 \; mi = \; 1.609 \; km = 5280 \; ft$, $1 \; ft = 12 \; in$)

  Which of the following has three significant l8kar+p,w. ep5b0d1t :tak ycfigures?

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

  An average human has a heart rate of 70 beats per minute. If someone's heriy 8dc*ph ;5mart beats at that average rat5*hridpcm ;8 ye over a 70-yr lifetime, how many times would it beat?

  Express the number 0.02 days using a prefix. -mx4cqdsw( q.q*li l5

  Wall posters are usually sold curle n41bzj ig4u 4,,nok(ym0nym rd 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, ib 4gyzi(ju n0 ,1n4omy,mk4r nn $cm^{2}$? (Assume the poster doesn't overlap itself.)

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

  What is the conversion facx 9++ s.6ohutzk xd2jktor between $km/h$ and $m/s$?

  The radius of the Earth is 3963 mi.l kqwq.w4 n63o4 ausa7 What is the surface area of the Earth in squa nal36wkw4.a7 4q osuqre meters?
($1 \; mi = 1609 \; m$)

  A large school district has 300 school buq e;c1q+r 0jzuses. If each school bus is used 3 hours each day, the average speed of tuc0e+;1jzq qrhe 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 $1.20 a gallon?

  What is the difference 103.5 Volts and 102.24 Volts if they respectiveb.e mi 9w(i ;*zpti(qmly represent twoq(iim zm;tew (9bp*i. measurment values of Voltage?

  What is the conversion factoqpr ; xf)mzpq qmrr,xa3*+ 3e-r between $km/h^2$ and $m/s^2$?

  The number of significant figures in 0 (o bz8t6wrj1u.01500 is

  An experiment used to measure the acceleration due to gravity produces the foll+zw 4ql c2*cr9bf lk0eoqk c cwf924rz*+eb ll0wing 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 lengths of the sides of a rectangular plate are measured, and the diagr u*(y:dbc .g,l2 dciqde uy*5xam shows theqgbuiy(d.*,yxl * 2c5 du:dce measured values with their uncertainties.

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

  An ammeter has a non-negligible zerpf);b6w;ygu bo offset error. Which of the following statementgpbw)yf ;ub;6 s is correct?

  A student measures a length five timesr 44(qrf,o8 a guf.inr. All of the 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)

  A force of 10.0 ± 0.8 N is applied to a mass of 2.0 ± 0.14 kg, causing it t+pjo: j,h*nvf 5z*scko accelerate. What is th+: ozck,j* fn5pj*v she percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The density of a solid sphere is measured with percentage uncertainty of 3%. Thed::t- rffma gfuvrt(. -)i)ez -ns v1n radius of the sphere is 5.9 ± 0.1 cm. What is the percentage uncertainty in the mass of th1 fg- (diuta rm:ntz.vr e-:)ffsv n)-e sphere?  (数值) % (Please do not include the % simbol in the blank)

  A student measures two lengths as foll+k;eq xr pin6,d; :isso a+z9phwrg16w.k g q9ows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  A piece of string 9.5 ± 0.3 cm long is cut frxm.ui8 2i0ofrom a longer piece that is 12.6 ± 0.8 cmf 2 iurm.io80x long. How long is the remaining piece of string?

  By averaging three measurements of the same quaaio 2)-;3saa*kw w nvqpms.f:ntity which of the following can be reduced?. oww)mvsi:pfa3aak*- 2 sqn;

  A pyramid has a square base of side u ix9eppi.r2: $x$ 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 $5.5 \%$ and $h$ is measured to $4 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  A student measures a distance four times. The readings are 37.8 cmsg95l)j7 /v uar:l3s jl hqnb-, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate o blvsj) 95nsqug7 -rla:h/ lj3f this measurement?

  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 $1.8 \%$ and the uncertainty in $l$ is $3.6 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign.)

  The potential difference gvm(u3fq2 nukhi5r6/4 xn jy(($V$) across a resistor is measured with a digital voltmeter to be $0.65 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank.)

  The time for two events, a and b, ar;iew: . pe6ohpe 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 water tank is the shape of a cube wit *brduzr1x*u fvq9 t*3h sides of $2.57 \mathrm{~m}$. Each side is measured with an uncertainty of $1.6 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Please input value without units and without the $\pm$ symbol)

  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 $3.9 \% $ uncertainty in $V$ and a $2.7 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a circle of wire is measured to be 10.0 ± 0.4 cmvgi5g--,h ff wcf y1v)7g c;ta.
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 balloon is mea)e+w0o/d-5 qan:j zhx3klaufsured to be $13.4 \pm 0.4 \; cm$. 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 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 variation of quantity P as qua00)vwq1t f*w5:mncmska6d ye wc. 7zgg 5x+jlntity Q varies is plotted. Theory states that P shojkcfmg6*qzdn: ml.a1)wwyse+5x570g wcv t 0uld vary linearly 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 $\pm 10 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (please input value without the % sign.)

  The length of a pencil is measured using part of a measuring taca4e:-r pu 1mob2pr. bpe as shown belowe 1or:b-4brpp mu.ca 2.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The gradk 3ylc1p j2p6ubdf/h g.re 9(ph is a plot of weight versus mass t/uldh2ydj( 1 9ceb fk3gp6r. phat includes error bars.

What do these experimental results suggest?

  A rectangle was drawn using a ruler, such that ebw3 nae5 z:ej7ach measurement has an uncertainty of 3a ze nw:7j5be$0.5 \mathrm{~cm} .$

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 length of a pencil is measured using part of a metre rule tlqn a e01r:2mahat is graduated in millimr2al1m a0: enqetres, as shown below.

What is the length of the pencil?

  A train travels $64.3 \pm 0.6$ meters in $3.875 \pm 0.03$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Please input value without units and without the $\pm$ symbol)

  Experimental data has shown that:e2dz) 8e / tcsimx5v.i
$$
P=\frac{g h^2}{u^3}
$$
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 lengths of the s.kwq0j h;teoyf)-g+ j0vb pngfo32;aides of a room are estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 y 695y52 brnawhqs/gu$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $6.7 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

  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 appr/hk41gok;pz9xitqbxzs ( p* * oi,d(0us*kuo oximately $10^{12} \mathrm{~km}^3$ 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?

  Which of the following could be a unit opqi5nghd/22u;x / mwff power?

  By approximately how many powers of ten is the hq3 5b,g 7dxqbag1 fzd:eight of a human larger than the height of a grain of s5f:d3b1b qxq d7gg,zaand?

  If A=10.0 and B=0.50, which calculation will give the answer with the most sfi4tch4,y.vgogtr6s0 l7o/adu3/w decimal h46wg 03,arsc/l.yvfoo /7gds ui t4tplaces?

  Which of the following contains one fundamental unk b d+nvbsl 4l5ji+uy7w.v/zgfb*)s 6it and one derived unit?

  Which of the following is a fundamental unit in the Sg ( r06a:qq ,v kuat02u)cmvmaI system?

  Estimate, to the nearest or +/a) .ntremqk4sb :nbder of magnitude, the number of heartbeats of an aver+4:tnkms /na bbr). qeage adult human in a day.

  A car has a mass of 1000kg. A mousq s3/iys+eznzbh1 **-hq tq .0 xxh2vje has a mass of 10g. What is the order of magnitude of the ratio between the mass of the carqbs3 q x.h2i0h*zzh1x +n-je y*tsqv/ to that of the mouse?

  What is the value of9(w2mz yows (g $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$