The average density of blood i 8m2aorb5a /berj-8h nug a/6tkxa4:ms $1.06 \times 10^3 \; kg/m^{3}$. If you donate a pint of blood to the Red Cross, what mass of blood have you donated, in grams? ($1 \; pt = 1/2 \; L$, $1 \; L = 1000 \; cm^{3}$.)

  If you are 5 feet 10 incodv/p :k*dgwps) ,a ;yhes tall, what is your height in meters? ($1 \; in = 2.54 \; cm$)

  A rectangular garden measures 15 m long and 13.7 mdr4k392 p xo5+aiop ps wide. What is the length of a diagonal from one corner of the garden to the othea952pko +43 prosdipx r?

  Wall posters are usually sold curled up in cylindrical cardboaq jxl0 a/u6gm6(n1ai ard 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 of61aj0 lg mnx(u/ai6qa the poster, in $cm^{2}$? (Assume the poster doesn't overlap itself.)

  Express the following sum 63qy .nv 8q(ug49ras)j tgshuwith the correct number of significant figures: $1.00 \; kg + 1531 \; g + 2.54 \times 10^{4} \; mg$.

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

  4567.89 is properly expressed in scientific notatiopu )2: jek:, 5lb.1cyoqnc 7tqp4ckhkn as

  What is the difference 103.5s1gel;dkx f1 ) Volts and 102.24 Volts if they respectively represent two measurment v )xfglk1;1desalues of Voltage?

  Which is the largest ,by6u )y av5ngarea?

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

  How many basic units nfock64w an ub :5)pp-mfte950ym xu( does the SI system have?

  Select the list which contains only SI basic units)8ww xh9w d57f/mr zrg.

  The metric prefix for one qwa zq1gggbx2ofz 9m 4.( .)cbone-hundredth is

  The mass of an electronss9.nop.z cj 8 is $9.1 \times 10^{-31} \; kg$. How many electrons will make a mass of 1.0 kg?

  The radius of the Earth is 3963 mi. What is the surface area of (4w3 v/0p-kcrjrmuyuthe Earth in square (u0j/4w r- mkc3r yuvpmeters?
($1 \; mi = 1609 \; m$)

  What is the result of 2.43 divided by 4.561 considering .xe brg l5n)k:wiq/cl3q 1l0ysignificant figures?

  Which of the followi bb)/- f ;njw)6m7yx1f cemkbsng has three significant figures?

  A football field is 120 yd long a-g1yjxs l5p pqm;*9qf*sl ue5nd 50 yd wide. What is the area of the football fie 5l1epqs *pq;xg5mf- *ujysl9ld, in $m^{2}$, if $1 \; yd = 91.44 \; cm$?

  How many meters is sixty,q3ush 5k2jxc kilometers?

  What, approximately, is the percent uncertainty for the measurement 5f :r mm7;g9c szl6n2oi.2 mA?

  Select the smallest vvu-xf4t1/pyp alue.

  A hot air balloon rises to an altitu b*p9*hj;uny5r-q0 an )cnf ztde of 600 fathoms. What is this height, in fetjn-npq 0bh a 9y;zurcfn*5)* et? ($1 \; fathom = 6 \; ft$)

  The number of significant d:/uyt az7 9prfigures in 10001 is

  A large school district has 300 schoolais91* ql3fcii2qo* l buses. If 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/gc3o*1a* iiq 9ls2liqfal. How much does it cost to run these buses in 22 school days if gasoline costs $1.20 a gallon?

  A ball has a radius of 3.23 cm. What is the volu(rj e9(*wiit1h )do vmme of the ball in $m^{3}$?

  A person stands 35.0 m c eqgih-.zkux/;,z 2ufrom 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 cu eq;/h-ukgzz2i.x,feet to his eyes is 1.7 m.)

  In the CGS system, what are the fundam0,5sypltnoa 9 :s;u vxental units?

  All of the following are base units of the SI sys inu8q32 w9exv8ab aqtzn9k*wwi+ u+ 9tem except:

  What is the area of a tr7v0jom cb ,n:)/wlfrectangle with dimension $12.56 \; cm$ and $2.12 \; cm$?

  The base SI unit of t01 qjdb +g7ecx8 ky7fd 9q(eli3tb2esime is

  Express the number 0.02 days using a prefixyroxw;) 50qv f gh, v/inkl1 frwzh3rw023qk3.

  0.0001776 can also berbjuv.5cie 1 m()ma 5 +nwigdyx1u;s. expressed as

  The metric prefix for one thousan5gruqde n pb1r,k44o8d is

  Write out the number n,-a wtqz:/ ay$8.42 \times 10^{-5}$ in full with a decimal point and correct number of zeros.

  The number of significant figures in -bpy6jo (679r* 7fx) gsur5xabqniys bp c1g70.040 is

  Write the number 13.5 gigameters as full (decimal) numbers wi1ow,ny8(q fdyi3vf f )th standard units.

  What is the cosine of fy .g xxa0,os3;cyuu5ztil3+ $55 ^{\circ}$ considering siginficant figures? (use your calculator please)

  How many grams is forty mixk0m o d:sur:.lligrams?

  A useful method of expressing very small or very ltwiu)7/gs(v+ h pb orr2z 8p:jarge numbers is

  What is the result of ,*ibgi8e-.kqe5fe6p vq8s wx$(0.410 + 0.021) \times (2.20 \times 10^3)$ considering significant figures?

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

  What is the conversiv ,v66;hg;k5 o 5g ymy8l2fmn)xxzylfon factor between $cm^{2}$ and $m^{2}$?

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

  A rectangle is 3.25 m long and 1.5 rqdt5;jx62y6cxu*u d:z,v15c gecbqm wide. What is its area?

  The length and width of a rectangle are 12 ek7mmx+1yw6 yhs1lb.125 m and 0.606 m, respectively. Multiplying, your calculator gives the product as 0.68175. Rounding properly to the correctx+1bm myks7yehw l162 number of significant figures, the area should be written as

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

  The metric prefix for one one-thousandth79yrd tq4g;q i/o0gwy 6pnfx 6 is

  What is the percent uncertainty in the meas7 g4iehcosc/ jh.-d8burement $2.58 \pm 0.15 \; cm$?

  Write the number 0.00045 in scientificg hki+,t3r +hy notation (power of ten notation)

  The position, x, of an object is given bn1gpsx3n cw ws k072:ny the equation $x = A + Bt +Ct^2$, where $t$ refers to time. What are the dimensions of A, B, and C?

  The length and width of lnf.iu v5x4 dn+j.1blkw9wp (a rectangle are 1.125 m and 0.606 m, respectively. You calculate the rectangle's perimeter by adding these and multiplying by two. Your calculator's display relu4 5kfwvn+1p. lji( n.dw9xbads 3.462 To the correct number of significant figures, this should be written as

  The number of significant figures in 0.01em+lpw/ a lnfj5+3uv if8:9 hawutv:6 500 is

  What is the volume, and it2ss0rj lg9k9xdx jmlg*,,i b7,t) luds approximate uncertainty, of a sphere of radius $1.96 \pm 0.01 \; m$?

  What is the percent uncertainty in the area of a circle whose radhz;cemom) /q i i2g/7aius is $1.8 \times 10^{4} \; cm$?

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

  Which one of the following is not equivalent te)8 * m4ii,hp kmk.6 jfxnya.po 2.50 miles? ($1 \; mi = \; 1.609 \; km = 5280 \; ft$, $1 \; ft = 12 \; in$)

  Starting from city A, a car drives 250 miles east to city B, th 5m8tq1q4jovc en 300 miles north to city C, and fi5o4q8j mvc1tqnally 700 miles west to city D. What is the distance between city A and city D?

  How much longer (percentage) isd3olbcm)n )8w a 100 m dash than a 100 yd dash? ($1 \; yd = 0.9146 \; m$)

  100 mL is equivalent to which of mmxc fe4:*,qy7sn)2kw .kdkz ;xbi eut t7-0othe following?

  What is the conversion fas02 f0kaf ms1.0 qeocyctor between $km/h^2$ and $m/s^2$?

  What is the conversion factor between ce j*g4a 4us)p$km/h$ and $m/s$?

  Four students measure the mass of an object, each using a different scale. Th 6z 3dqbfuf 4wzyv,31fey record their rew3bfz vf 6y31 du4qf,zsults as follows:
Which student used the most precise scale?

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

  An average human has a heart rate of 70 beats per minute. -3+ojt;pjw3ubrt :uo If someone's heart beats at that average rate over a 70-yr lifetime, how many times would i:roj3u3o+ u ptj;b -wtt beat?

  Four students measure the mass of an object, each using a dp3lil,hu2n n o+ dm(a3a t:-xqifferent scale. They rl(+omlqh2du it 33 x: paa,-nnecord 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 average life of an animal is 70 years. Assume one numerical figure, wri ywqroa2ivhy ,pjvl5;k,+ u 6-te tqr uvpj5i ,yl;6-hv,2ka oy+w his in power of ten in seconds.

  A thick-walled metal pipe of length 20.0 cm has an inside diameter of f3aq3oi) 7j-;+eqzsztv0z g 4lu/ uyf2.00 cm and an o7q)g fs/ifltaqyje0 ;z3zvzu u+4-o3utside diameter of 2.40 cm. What is the total surface area of the pipe, counting the ends, in $cm^{2}$?

  The last page of a book ist:/zkb f7 uz 5.ssn*qs 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 boo qfktunbs5sz* 7 :z./sk, in centimeters?

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

  Concrete is sold by the cubic yard. What is the mass, in ki57ku vk0.0shubv3 baelograms, of one cubic yard of concrete that is five times as dense as water? (vb.5bs kukhe0 0u 7av3$1 \; m = 1.094 \; yd$, and $1 m^{3}$ of water has a mass of 1,000 kg.)

  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 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 $2.8 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign.)

  Experimental data has j d+ckx5qr b jqh3dttrn(+35li(:g8t 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 $P ?$

  The lengths of the sides of a rectangular plate are measured, and the diagram shcrx zv-0a7 dnq (*nc0sows the measured values with their u-x *nd r(n7s0 qczavc0ncertainties.

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 zero offset error:4hds39 xs-isnn* nek. Which of the following statements is s h -:n*ek 9ni4s3sdxncorrect?

  A piece of string 9.5 ± 0.5 cm long is cut from a longer piect 4npj neq/if3 ;+ x8ef.ol+iee that is 12.6 ± 0.2 cm l+n3j8 e/ifftqei+nl eopx;4.ong. How long is the remaining piece of string?

  The time for two events, a and b, are measured to 0m:;sp5l6 u n+hdqojp uyjw1 /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 masses and weights of differnd:u - j8 0+qu-(0mo xxzjp cm1paz+nnent objects are independently measured. The graph is a plot of weight versus mass that includes error m(n zja+nup x+-1oc8-x dm 00:ujpnz qbars.

What do these experimental results suggest?

  The density of a solid sphere is measured with percentage unjt/u os++j72 btpbj6h*d 5qdlcertainty of 8%. The radius of the sboj6*sduqj +b+ht t2l/j7 d p5phere is 1.2 ± 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)

  A student measures a length five t:b)a s f-048rg/radgsdd ba6g un 7by.imes. 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)

  The length of a pencil is measured using part of a metre rule that is graduatyxhne:3ie /uc1 4azw bq(y/t5 ed in millimetres, as shown below. uea14yhtzqye5xcib/(/w3 n :

What is the length of the pencil?

  A force of 10.0 ± 0.7 N is applied to a mass of 2.0 ± 0.24 kg, causing it to act4-zjj -9 sqnkcelerate. What is the percentage uncertainty of its accelerat qz4sj9- -kjntion?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to eh/t2 muup/;7t-m lxn be 10.0 ± 0.9 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 lengths of the sides of a room are estis- cq*qnq ya7;mated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 1 \%$. 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)

  A water tank is the shape of a cub 2e2j/eqlmgd dd0 w*o,e with sides of $4.63 \mathrm{~m}$. Each side is measured with an uncertainty of $0.4 \%$. 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 a ppm)+apdu/pw786++e qctna($V$) across a resistor is measured with a digital voltmeter to be $0.45 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank.)

  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 two lengthsa5uqm+*0asb w7o cyf2b z*c*ien 8xv- 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 pyramid has a square base of sidrm b-dbss13lj (md)gtmvm0z16zn6 7-m)hrew e $x$ 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 $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  A rectangle was drawn using a ruler, such that each measurement has an unceiax+0togcm- (rtaintc g0(+-xtim oay 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 variation of quantity P as quantity Q varies is plotted. Theory stva-uh:,gozu u5a ut +8ates that P should vary linea,5 uv+uua :tz8 -hgouarly with Q.

  An experiment used to measure the acceaw 9: kgr977jqmluq -qleration due to gravity produces the following re7 j9r-m wul q7qkqga9: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 $9.81 \mathrm{~m} \mathrm{~s}^{-2}$ ).

  For an object of masuao aubp v 1w*tw/otg 6co4ck2p3/8 8cs $(2.0 \pm 0.1) \mathrm{kg}$, 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)

  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 $\pm 4 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (please input value without the % sign.)

  A train travels $77.9 \pm 0.7$ meters in $12.502 \pm 0.09$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Please input value without units and without the $\pm$ symbol)

  By averaging three measureme l5vdn k xdn/4n;*rno4nts of the same quantity which of the following can be reduced?4ln rknd;x don5v*n4/

  The length of a pencil is measured using part l:3rlw; s z:eb0x n*hy kcv0z9of a measuring tape as shown belowv0cz kz3e;s0 n*hl: x lbrw9:y.

What is the length of the pencil?

  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 $4.1 \% $ uncertainty in $V$ and a $2.2 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  A student measures a distance four times. The reh qomsej 188 tj.nz74dadings are 37.8 cm, 37.9 cm, 38.1 cm, 38.1 8.odj7h mq4sz8jtn e2 cm. What is the best estimate of this measurement?

  The radius of a balloon is meabff0tnv i2 53bsured to be $24.5 \pm 0.5 \; cm$. 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)

  By approximately how many powers of ten is the height of a huma*j4i u fhxn-(xg 3qmu.n larger than the height of a grain of xh(*-gu3jumf.n4 qxi sand?

  The volume of the Earth issej5cwl *g-x2 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?

  A car has a mass of 1000kg. A mouse has a mass of 10g. zaj3tq x5iy1o62c(*fuq z8 ;olkw w +zWhat is the order of magnitude of the ratio between the mass of the car to thattu8wc x z 5yaz2o1 + lk(i;j*3fqzqwo6 of the mouse?

  If A=10.0 and B=0.50, which calculatio6vs cp0 :cxef,; ma;fpn will give the answer with the most decimal ,x0fc ap;mvs; :f6epcplaces?

  Which of the followinz ya 5nm9-iu9dg contains one fundamental unit and one derived unit?

  What is the value of ),fc j-w0d85 diy/cdl b;dhzq $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the followinol13i) mbhp98+ 8.bqmq elsd zg could be a unit of power?

  Estimate, to the nearest order of magnitude, the number of hearoqji;p( yd ; +2tnxm.htbeats of an average adult huma;m n2j+dh.yx;q (tp ion 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?

  Which of the following is a fundamental uni;0yum-f 6jw met in the SI system?