The length and width of a r7to/du 8cvc :gxo+bf-j dp 0)tectangle are 1.125 m and 0.606 m, respectively. You calc -pfjo xotvcd)+:b/7u ct0 d8gulate 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

  The position, x, of an object is given by the equa lg2e;lux-+wztion $x = A + Bt +Ct^2$, where $t$ refers to time. What are the dimensions of A, B, and C?

  What is the cosine of i.5jpq lgt s,+cy-p co6 ,cr,h$55 ^{\circ}$ considering siginficant figures? (use your calculator please)

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

  The average density of blood is lbn15h y3 7 2kxggvl.x$1.06 \times 10^3 \; kg/m^{3}$. 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 meters is sixty kilometerva81v kq+oz;v o8u5 hfs?

  What is the conversion factor be -fpv)fr dg-5etween $cm^{2}$ and $m^{2}$?

  What is the result of 2.43 divided by 4.5cg.uoos u 0ukg;p)j4h+d :8zs61 considering significant figures?

  The number of significant figur:l.ucf,:e 5dd t1 zgxq, e(thies in 0.01500 is

  The mass of an electron iz;zbacva(t u7s)m 57 os $9.1 \times 10^{-31} \; kg$. How many electrons will make a mass of 1.0 kg?

  A hot air balloon rises tozq2s0;dvcoz*rupx n4 / +n/o c an altitude of 600 fathoms. What is this height, in feexzp2+s0//nz *orqvoc c4; udnt? ($1 \; fathom = 6 \; ft$)

  What is the conversion factor m,o1(b njqi rn6ilr,/between $km/h^2$ and $m/s^2$?

  The last page of a book is numbered 764.(each sheet is doublegzledvb5e0hyn m 8 +54-sided) The book is 3.00 cm thick. Whveb5d8 5+m0 4ngzyh leat is the average thickness of a sheet of paper in the book, in centimeters?

  A football field is 120 yd long and 50 yd wide. What is the area of thewxk+c*w 3*w+7iiaew d football field, * k ixic++3wdw w7e*awin $m^{2}$, if $1 \; yd = 91.44 \; cm$?

  In the CGS system, what are the fundamental units(z-gr- ,c96tjnc ctph?

  The metric prefix for one one-thousanu,gi ssx j6h8u:hb(3 (4lt(knla)z bidth is

  The radius of the Earth is 3963 mi. What is the surface areaw f9 1ewsc9*de of the Earth in square f9e*e ws9dcw1 meters?
($1 \; mi = 1609 \; m$)

  Write the number 13.5 gigameters as full (decimal) numbers with standard unit 2y7 z1pmwvox8s.

  All of the following are base units of nq u2h; j4w*5kvj2 ui51 ktm8ftxw-h rthe SI system except:

  Wall posters are usually sold curled 66 ; xoo3rk9qu5f qh u:bzx,vn qb4ui7up in cylindrical cardboard tubes. If the length u4qn;hbo6bx :f5ur, x6 iq k u7zv39oqof the 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.)

  What is the difference 103.5 Vzj /rxaojot: 9;yu 7,-hs rau;olts and 102.24 Volts if they respectively represent two measurment values of Vor z9,o xjshj yu-/:atuor;a7;ltage?

  Express the following sum with the correct numbhk gv4jh(z rk86uh f6qt26hq2er of significant figures: $1.00 \; kg + 1531 \; g + 2.54 \times 10^{4} \; mg$.

  The metric prefix for one thoufkf ihdhm6+bb e j24:t o*v*c.sand is

  4567.89 is properly expressed in scientific nota1f t)xmw o.k ujk-1tx4tion as

  Concrete is sold by the cubic yard. What is the massbzt;8xv93df1 x v+x6leywu*o, in kilograms, of one cubic yard of concrete that is zu*xoef318xb v6l9t w vy ;d+xfive times as dense as water? ($1 \; m = 1.094 \; yd$, and $1 m^{3}$ of water has a mass of 1,000 kg.)

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

  The metric prefix for ond1o:g rb,wt+pe one-hundredth is

  A person stands 35.0 m from a flag pole. . n)9sl/phrem 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 p9. hmr)es l/nflag pole? (The distance from his feet to his eyes is 1.7 m.)

  Which of the following has three-2j(z8kc:vczh kyrg7+ xa(5 ;s nxubt significant figures?

  0.0001776 can also be exprpwgg(6d-h(i458 ,pnotijr df0 k w (txessed as

  Starting from city A, a 6ds1 p3t5qkzfpx 4t.r car drives 250 miles east to city B, then 300 miles north to city C, and finally 700 miles west to cr6qd 3 p. ktz4sfx5tp1ity D. What is the distance between city A and city D?

  If you are 5 feet 10 inchb1lglu0 f9j/ezw, v-po7joo 1es tall, what is your height in meters? ($1 \; in = 2.54 \; cm$)

  What is the volume, and its approximate uncertainty, of a sp/8yszk-uk)zlqr ;j u0here of radius $1.96 \pm 0.01 \; m$?

  What is the result of;ha*)x9nlrc v $(0.410 + 0.021) \times (2.20 \times 10^3)$ considering significant figures?

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

  What is the percent uncertainty in the area of a circle whose r(+ybe-)zjg.n0) cf a ;vmf2u 4gesluwadius is $1.8 \times 10^{4} \; cm$?

  The average life of an animal is 7x 2-yn2x1nyg; hg/ 0lcwbvld00 years. Assume one numerical figure, write this in power of ten in seco v0nl2g cy-xlnb01;yd w/h2g xnds.

  Express the number 0.02 days using a 3hf9es5ldy+y qgag (-prefix.

  What is the conversion nb4g e+kec5 uyf-)m5 zfactor between $km/h$ and $m/s$?

  How many grams is forty milligram 9(:ka wn gc.dex33qtxs?

  An average human has a heart rate of 70 beats per mat.v:lffn 3o 9inute. If someone's heart beats at that aver.t3 fvla 9n:foage rate over a 70-yr lifetime, how many times would it beat?

  The base SI unit of c* ffhg 5clg0/c uk32q; ic,vdtime is

  A rectangle is 3.25 m long and 1.5 mkcp,7m0+xsy* * zug 4gudoo/s wide. What is its area?

  Write the number 0.00045 in scientirq xk5et8+,x qj a;il/fic notation (power of ten notation)

  Four students measure the mass of an object, each using a diffp53g-/764v k xwr sq cqgxtk3derent scale. They record their results as followxggtkk743p - rcv5 3sq/qxd6 ws:
Which student used the most precise scale?

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

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

  Which is the largest d 1c3k0w(3 w) 2tcanp hu3fwm2 )onnvharea?

  Write out the numbercxr +t4hufe 1:o .6nhq $8.42 \times 10^{-5}$ in full with a decimal point and correct number of zeros.

  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 $kg/m^{3}$?

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

  The number of significant figures irzh 1pz k2+ i 2(tt(ko2i3peoin 0.040 is

  Four students measure the mass of an object, each using a different sca m4w uc k3on8//qwzbbpt-qyp5)uwo7t:l * dc 8le. They recort8c dyubz)7: 834nqplom// * uwc-pwbt5k qowd their results as follows:
Which student used the least precise scale?

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

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

  What is the percent uncertainty in the,j),ym g42 a+(g8 vsbhs zhgha measurement $2.58 \pm 0.15 \; cm$?

  What is the area of a recta+ xi9ow8ih b8mhy2yx jyw.94 engle with dimension $12.56 \; cm$ and $2.12 \; cm$?

  The length and width of a rectangle are 1.125 m and 0r7 dyapfbs 0oqo:l yo qt)p. *:0.el1f.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to ta:fp. l0 )qoyyfq07edro*1op . st: blhe correct number of significant figures, the area should be written as

  A large school district has 300 school buses. If eac ih,f2 q9k o7mhfm-jj3(6in adh 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 does it cost to run these buses in 22 school days if2onij-j7 (fhm9q ,a6 h3k mdfi gasoline costs $1.20 a gallon?

  A useful method of expressing very small or vp+ 4sdo9fzot 6ed,s+m ery large numbers is

  100 mL is equivalent to which of the following6jwkz9 p q:v7r?

  Which one of the following is not equivalent lv bmn-32ipx(9ne b4s9q sh(kto 2.50 miles? ($1 \; mi = \; 1.609 \; km = 5280 \; ft$, $1 \; ft = 12 \; in$)

  Select the smallest va9uw+jb .-futiuy x w12lue.

  How many basic units *w/+ q ajzg +h5ppxh0bdoes the SI system have?

  A ball has a radius of 3.23 cm. What is the 45cebbsjee+)8cecw 2 volume of the ball in $m^{3}$?

  The number of significant figures in 1gh b3il3uepr-n19yh4-b7/g / zrfjuo 0001 is

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

  A rectangular garden measures 15 m long and 13.7 m wide. What is thjhw48 fb ig:o*e length of a diagonal from one corner of the garden to the other?fg :w8i4ho* jb

  Select the list which contains only lr :t,7yif6 wqSI basic units.

  How much longer (percen.o. on9 xn7:gitlefsr11i0 ixtage) is a 100 m dash than a 100 yd dash? ($1 \; yd = 0.9146 \; m$)

  What, approximately, is the percentt4*bal. 8oa ;za zs*di uncertainty for the measurement 5.2 mA?

  A thick-walled metal pipe ofshy k76 79yhcs length 20.0 cm has an inside diameter of 2.00 cm and an outside diameter of 2.40 cm. Whyy9c7s k7 6shhat is the total surface area of the pipe, counting the ends, in $cm^{2}$?

  The lengths of the sides of a rectangular plate are measured, and t/ilqwax)f+ 6 wjc x7e3he diagram shows tw / xa+fl)jwqcxe6 73ihe measured values with their uncertainties.

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

  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 $2.2 \%$ and the uncertainty in $l$ is $5.2 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign.)

  A rectangle was drawn using a ruler, such that each measurement has an uncertaiub2wy all.)cy d26 iu+nty ofy+2cu.w6 ua iy2ll )db $0.5 \mathrm{~cm} .$

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)

  For an object of masj ,r:p jbqusog-;c 8o0b7 )gwus $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $9.0 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

  A train travels $50.7 \pm 0.8$ meters in $3.857 \pm 0.08$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Please input value without units and without the $\pm$ symbol)

  The potential differencmu7 jo*.(epuv w gt)o0e ($V$) across a resistor is measured with a digital voltmeter to be $0.19 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank.)

  A student measures a length five times. All of the measurements lie 9p wojc31. 6jiryp07q sspbg.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 student measures two lengthsuwm/*uqe+p ,f8g9u r l.ll5fx as follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The lengths of the sides of a room are:kt41c(b gp t gxcgiy+1r*q+2h 4et/+td ub rz estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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)

  An ammeter has a non-negligipn eb4wm8j)nl q 7/h -bryq9d:ble zero offset error. Which of the following statements is correcyqj:e pw) 78hdb/rmb4 n-q n9lt?

  The density of a solid sphe6wj0bwg a pn2hlee8yhe9/ ar*sc l,08 re is measured with percentage uncertainty of 5%. The radiu09g 2crll0p aj hb *86/e8nh,w eaeysws of the sphere is 2.3 ± 0.2 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  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 $\pm 1 \%$ and the value of $R$ has an uncertainty of $\pm 3 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (please input value without the % sign.)

  Experimental data has sh gvr goarqu 8;.9k-ro(f g+ra4own 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 masses and weights of different objects arelt.h 21s*rnt 1) . 3lsu ly. ijlwg9m+aygny/e independently measured. The graph is a plot of weight versul /ltu*i1l)g1s+h y 3w2.t9syynmanjl.e .rgs mass that includes error bars.

What do these experimental results suggest?

  A water tank is the shat20h c2akylm855msdals sg*,3i-ldd pe of a cube with sides of $4.59 \mathrm{~m}$. Each side is measured with an uncertainty of $2.1 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Please input value without units and without the $\pm$ symbol)

  The radius of a balloon is measuredu9qrn9+ 7+po2/batg b e/l+xk3j:lvj ro3ajv to be $16.5 \pm 0.7 \; cm$. 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 variation of quantity P as quantity Q varies is plotted. Theory statpoi o aye6v,6-qe /l4ues that P should vary linqlieu-e6a /p yvo o,46early with Q.

  The length of a pencil is measured using part of nat/7fbm4sp:o tu (bvb4;le z g.t8e; a metre rule that is graduated in millimetres, fpb:et bzol;va .7(/tn s4m8b 4t u;geas shown below.

What is the length of the pencil?

  A student measures a distance four times. The readings5ia 4hijiy0)k are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of ti45i ij)hak0yhis measurement?

  An experiment used to measure the acceler,f- 9k;wi miquation due to gravity produces the following re iuq,9 fi;wm-ksults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 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 $6.2 \% $ uncertainty in $V$ and a $2.9 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  A force of 10.0 ± 0.8 N is applied to a mass )s9ek- (.a g/l*ni3 3dyibkvzxy ) quiof 2.0 ± 0.10 kg, causing it to accelerate. What is the-n b vei3z)ld 3u(g.ksiq)9/ akxiyy * percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  By averaging three mejq aw,takk,5s7l-i xe8 2 t)1bgiri/x asurements of the same quantity which of the following can be reduced w kgijs,5 r-txba7lkea1)qiit8 ,/2x ?

  The time for two events, a an2: db2tzs ym+kd 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?

  The radius of a circle of wire is measured to be 10.0h j i;5/*quq3uk cg2ypopn8s7 ± 0.7 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 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 length of a pencil is measured -. :rkgs oey/) uk2o/goq0c wnusing part of a measuring tape as shown below -kyng. wrog2 o/:ku eo/q0s)c.

What is the length of the pencil?

  A pyramid has a square base of stouuw1va-+ w9i2z blzp (0nw-.c* qbuide $x$ 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 $5.3 \%$ and $h$ is measured to $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (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 ± 0.sgw(lq(9aun9hr6cgkuea c *:w )f:p: 7 cm long. How long is the remai:rw*: eplk(ga)s:6cqu9uf(9a chn w gning piece of string?

  By approximately how many powers of ten is the height of a human larger than theaw) b ngkh .puc5a11o, hebcaa1) p,5wk.u1o hngight of a grain of sand?

  Which of the following coullopw*)v t. w0bd be a unit of power?

  A car has a mass of 1000kg. A mouse has a mass of 1fnq; aj7y4dxl3 xc a,xv9l :rs01h*jy0g. What is the order of magnitude of the ratio betwee;cqxyrjy,al71dls v3n 9xx : fh4*0jan the mass of the car to that of the mouse?

  If A=10.0 and B=0.50,h+lcrz:r)*v +l asmnx *(b:em which calculation will give the answer with the most decimal places? nllmc x :r:azbv)rm* +s+h(e*

  Estimate, to the nearest order of mael n2g0mptc41afe9* agnitude, the number of heartbeats of an average adult human i4l 910fna2*p ec getamn a day.

  Which of the following containslows-7s: 7 yrz one fundamental unit and one derived unit?

  Which of the following is a fundamental unit i +f)h 9.kwv5immw6ogy0qyc-rn the SI system?

  The volume of the Eazugc 91tx.z eh.rs41 grth is approximately $10^{12} \mathrm{~km}^3$ 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?

  What is the value of i* osvjxwl:r6sv7 / (e$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

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