Module 01 Mathematics EASA

8/19/2019 Module 01 Mathematics EASA

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1.1 Arithmatic Pg. 1; 1.2a Algebra Pg. 35; Algebra 1.2b Pg. 42; Geometry 1.3a Pg.

52; Geometry 1.3b Pg. 62: Geometry 1.3c Pg. 67

Module 01, Mathematics.

1.1 Arithmetic.

Question Number. 1. A car travels 24 miles in 45 minutes. What is its average speed?Option A. 32 mph.Option . 3! mph.Option ". 1# mph."orrect Ans$er is. 32 mph.%&planation. 45 minutes ' 3(4 hour. )peed ' distance ( time ' 24(3(4 ' 24 * 4(3 ' 32.

Question Number. 2. %valuate. +esOption A. 4 ,.Option . 3 ,.Option ". 4."orrect Ans$er is. 3 ,.%&planation.

Question Number. 3. 15.4(2 - 2*!.2 - 15.!/.Option A. 11.1.

Option . 2!.5.Option ". -11.1."orrect Ans$er is. 2!.5.%&planation. 0.0-2-.4/0.0--1#.#/0.0 1#.#' 2!.5.

Question Number. 4. A cuboid has dimensions o 4 cm ! cm and 12 cm. What is itsvolume?.Option A. .2# m3 .Option . 2.## m3 .Option ". .2## m3 .

"orrect Ans$er is. 2.## m3

.%&planation. 4 * ! * 12 ' 2## then convert the cm to metres divide 2## b6 1 3 times/.

Question Number. 5. What is a scalene triange?.Option A. 2 sides une7ual.Option . All 3 sides une7ual.Option ". 2 sides e7ual.

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"orrect Ans$er is. All 3 sides une7ual.%&planation.

Question Number. !. Wor8 out the ollo$ing sum9 4 :2 5-1/ -3; #.

Option A. 2#Option . 30.Option ". 54."orrect Ans$er is. 2#%&planation. )tart at the inner brac8ets irst and then $or8 out$ards.

Question Number. 0. A rectangle is 11cm & 12cm. What is its area in m2 ?.Option A. .132.Option . 132.Option ". 13.2.

"orrect Ans$er is. .132.%&planation. 1cm in 1m so divide 132 b6 1 t$ice since it is area/.

Question Number. #.


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Question Number. 11. 3(4 multiplied b6 .#2 is e7ual to.Option A. 1.23.Option . .!15.Option ". 2.4!."orrect Ans$er is. .!15.

%&planation. 3(4 ' .05. Appro&imate .# * .05 must be less than .05.

Question Number. 12. 0(! can be e&pressed as.Option A. 1.1!!.Option . 2.!.Option ". 1.!."orrect Ans$er is. 1.1!!.%&planation. !(! $ould be 1. )o 0(! is @ust slightl6 bigger than 1.

Question Number. 13.


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%&planation. 5(# 3(4 ' 5(# !(# C"D ' #/ ' 11(#.



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Option . 1 lbs.t.Option ". 251 lbs.t."orrect Ans$er is. 1 lbs.t.%&planation.


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Question Number. 33. Determine .05 & .3.Option A. .225.Option . .225.

Option ". .225."orrect Ans$er is. .225.%&planation. %asiest $a6 is to multipl6 b6 .1 .05 & .1 ' .05/ then multipl6 b6 3.05 & 3 ' 225 so .05 & 3 ' .225/.

Question Number. 34. "onvert 1!2 8nots to GH.Option A. 1#! mph.Option . 10! mph.Option ". 1! mph."orrect Ans$er is. 1#! mph.

%&planation. 1 8nots ' 1.15 mph 1!2 & 1.15 ' 1#! mph.



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Option . 2 1(#.Option ". 2 1(4."orrect Ans$er is. 2 5(1!.%&planation. .305 ' 3(#. 3(4 5(1! 0(# 3(# C"D ' 1!/ 12(1! 5(1! 14(1! !(1! '30(1! ' 2 5(1!.

Question Number. 3.


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Question Number. 44. # 4M5 & 2 5-(3/ '.Option A. ##.Option . 12.Option ". 4#.

"orrect Ans$er is. ##.%&planation. Wor8 rom the inner brac8ets - out$ards.



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Option ". 4#."orrect Ans$er is. 4#.%&planation. Wor8 out the contents o the brac8ets in this9- 1 & 23/ 1 & 25/.

Question Number. 5. One radian is e7ual to.Option A. L.Option . 05L.Option ". 50.5L."orrect Ans$er is. 50.5L.%&planation.


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Option A. , height * base.Option . , base * , height.Option ". , base * , height."orrect Ans$er is. , height * base.%&planation. Nil



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Option . 42=.Option ". 35=."orrect Ans$er is. 3=.%&planation. )urace area ' = * diameter * height ' = * 2 * 15 ' 3=.

Question Number. !. Iour percent o .1 is.Option A. .4.Option . .4.Option ". .4."orrect Ans$er is. .4.%&planation. 4F means 4(1. )o 4(1 o .1 ' .4(1 ' .4.

Question Number. !1. ! 2/2 * 2 2 * 45/ '.Option A. 21#.

Option . 3#.Option ". 12#."orrect Ans$er is. 3#.%&planation. ! 2/2 ' !4. *2 ' 12#. 2*45 ' . 12#- ' 3#.

Question Number. !2. 10 degrees 4 minutes and 1 seconds added to 22 degrees 22 minutesand 5 seconds e7uals.Option A. 4 degrees 11 minutes and ! seconds.Option . 4 degrees 12 minutes and seconds.Option ". 3 degrees 11 minutes and seconds."orrect Ans$er is. 4 degrees 12 minutes and seconds.%&planation. Add them both together in 3 columns degrees minutes seconds/. When eachaddition goes over 5 add 1 to the ne&t column.

Question Number. !3.


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Option ". loss."orrect Ans$er is. ratio.%&planation. A BratioB is a comparison o an6 t$o values.

Question Number. !5.


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15(4-1(4 #(4 C"D ' 4/ ' 13(4. No$ recombine the $hol$ numbers and the ractionsso 2 13(4 ' 2 13(4.

Question Number. 0. 4*4 *4 > 1/ >1/ >1 '.

Option A. 31.Option . 15.Option ". 43."orrect Ans$er is. 43.%&planation. ule 19 Wor8 the innermost brac8ets irst. ule 29 Ater calculating the contentso a brac8et use the multiplier or divider/ beore the adder or subtractor.

Question Number. 01. Which number is the lo$est common actor o 3! !! and 12!?.Option A. 23.Option . 12.

Option ". !."orrect Ans$er is. !.%&planation.


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1!# - do not calculate.

Question Number. 05. What is the raction 1(0 in decimal?.Option A. .1425.

Option . .142#!.Option ". 1.42."orrect Ans$er is. .142#!.%&planation. Kse the long division techni7ue.

Question Number. 0!.


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%&planation. Area ' base * height.


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"orrect Ans$er is. 14 s7.ins.%&planation. 4 * 1 ' 4 or top bit 4 * 1 ' 4 or bottom bit 3 * 2 or centre bit. Add all 3 areastogether '.

Question Number. #5. A mound o soil is piled up into a cone o base diameter 1.#m andheight .! m. What is the volume o soil?.Option A. .5 m3 .Option . 1. m3 .Option ". 1.5 m3 ."orrect Ans$er is. .5 m3 .%&planation. olume o a cone ' 1(3 * base area * height. ase are ' =r 2 ' 3 * . * . ' 2.4.1(3 * 2.4 * .! ' .5.

Question Number. #!. What is the area o the shape belo$?.Option A. 22 s7uare inches.Option . 1! s7uare inches.Option ". 2 s7uare inches."orrect Ans$er is. 1! s7uare inches.%&planation. 12 * 3/ 2 * 5/ 2#-3-5/ * 3/ ' 1!.

Question Number. #0. What is 1 radian in degrees?.Option A. 50L.Option . 20L.Option ". !!L."orrect Ans$er is. 50L.%&planation. 2= radians is 3!L. )o 1 radian ' 3!(!.3 ' 50L.

Question Number. ##. 52 & 53 /2 is.Option A. 50 .Option . 512.Option ". 51.

"orrect Ans$er is. 51.%&planation. Add the po$ers $hen the bases are multiplied. Gultipl6 the po$ers $hen a po$er is raised a urther po$er. )o 2 3 ' 5. 5 * 2 ' 1.

Question Number. #. What is 3F o .1?.Option A. .3.

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Option . .3.Option ". .3."orrect Ans$er is. .3.%&planation. 3(1 * .1 ' 3(1 * .1.

Question Number. . %valuate 15.4(2-24.!-15.0/.Option A. 2!.5.Option . 2..Option ". -14.5."orrect Ans$er is. 2..%&planation. 0.0-2-11.1/ 0.0 22.2 2..

Question Number. 1. Ho$ man6 radians are in 3!L?.Option A. 2=.

Option . !=.Option ". 4=."orrect Ans$er is. 2=.%&planation. 3!L ' 2= radians.

Question Number. 2. What is the area including the ends/ o a c6linder diameter 1 cm and1 cm in height?.Option A. 5=.Option . 15=.Option ". 1=."orrect Ans$er is. 15=.%&planation. = * dia. & height 2 * = * radius-s7uared. 1= 5= ' 15= assuming the6$ant the areas o the ends included/.

Question Number. 3. What is the highest actor o 153?.Option A. !.Option . 3.Option ". ."orrect Ans$er is. .%&planation.


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Question Number. 5. An aeroplane has 1# gallons o uel on board. 35F in the let $ing42.5F in the right $ing ho$ much uel is in the centre tan8?.Option A. 45 gallons.

Option . 545 gallons.Option ". 1#3 gallons."orrect Ans$er is. 45 gallons.%&planation. 1-00.5 ' 22.5. 22.5(1 * 1# ' 22.5 * 1# ' 45.

Question Number. !. En the common raction 2(5 the number 5 is 8no$n as.Option A. the 7uotient.Option . the numerator.Option ". the denominator."orrect Ans$er is. the denominator.

%&planation.


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Option A. divide b6 2.54.Option . multipl6 b6 2.54.Option ". divide b6 25.4."orrect Ans$er is. multipl6 b6 2.54.%&planation.


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"orrect Ans$er is. 1!= cm2 .%&planation. Area o a sphere is 4 = r 2 4*=*2*2 ' 1!=.



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Question Number. 111. En a light control s6stem the control cable is allo$ed an elongationo 3F due to $ear.


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Option A. 3m(s.Option . 2m(s.Option ". 1m(s."orrect Ans$er is. 2m(s.%&planation. 02 * 1(3! ' 2.

Question Number. 122. E 6ou bought a


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Option . 103.42 * 13.Option ". 1.0342 * 15."orrect Ans$er is. 1.0342 * 15.%&planation. )tandard orm has the mantissa bet$een 1 and 1.



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and 1. emember the decimal point though not $ritten $ill be ater the unit in this case the last.

Question Number. 132. Iind the s7uare root o 1!.

Option A. #.Option . 4.Option ". #."orrect Ans$er is. 4.%&planation. 1! ' 1! * 1 1! ' 1!&1 ' 4&1 ' 4.

Question Number. 133. What is the ratio o 5 eet to 3 inches?.Option A. 2 9 1.Option . 5 9 3.Option ". 1 9 !.

"orrect Ans$er is. 2 9 1.%&planation. En an6 ratio caculation the units must be the same. 5 eet is e7ual to ! inches.atio o ! 9 3 or !(3 is 2 9 1.

Question Number. 134. %valuate 5M 3 !0-4/-2.Option A. 31.Option . 35.Option ". 5."orrect Ans$er is. 5.%&planation. Iirst $or8 out the inner brac8ets9 0-4'3 then multipl6 b6 !9 !*3'1# Ne&t theouter brac8ets 9 31#-2'1 Iinall6 multipl6 b6 59 5*1'5.

Question Number. 135. Iind the value o 3M 5-2 4-0/.Option A. .Option . -3.Option ". 33."orrect Ans$er is. 33.%&planation. Iirst $or8 out the inner brac8ets9 4-0'-3 then multipl6 b6 -29 -2&-3 ' !emember that -&-' Ne&t the outer brac8ets9 5!'11 inall6 multipl6 b6 the 39 3*11'33.

Question Number. 13!. What is the cube root o -!4?.Option A. 4.Option . -#.Option ". -4."orrect Ans$er is. -4.%&planation.


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Question Number. 130. What is the cube root o #2 .Option A. 2.Option . 4.

Option ". #."orrect Ans$er is. 4.%&planation. #2 ' !4 cube root o !4 is 4 as 4&4&4'!4.

Question Number. 13#. An engine o ! horsepo$er is running at 05F po$er. Whathorsepo$er is being developed?.Option A. 02.Option . 1!#.Option ". !2."orrect Ans$er is. 02.

%&planation. 05F ' 05(1 '3(4 3(4&!'3&24'02.

Question Number. 13. A blueprint sho$s a hole o .3051 to be drilled. What raction siedrill bit is most nearl6 e7ual?.Option A. 5(1!.Option . 3(#.Option ". 3(1!."orrect Ans$er is. 3(#.%&planation. 3(1! ' .1#05 5(1! ' .3125 3(# ' .305 3(# drill is the nearest.

Question Number. 14. 12 out o 125 bolts produced are o an acceptable tolerance. What percentage o the bolts are not acceptable?.Option A. 5F.Option . 4F.Option ". 25F."orrect Ans$er is. 4F.%&planation. Acceptable bolts 12(125 ' 24(25 as a percentage this is 24(25 * 1 ' !FKnacceptable bolts are 1F-!F ' 4F.

Question Number. 141. %valuate 1(4 3(#-1(2.Option A. 1(#.Option . 1(14.Option ". 1(2."orrect Ans$er is. 1(#.%&planation. "hange all the ractions to a common denominator R becomes 2(# 3(# remainssame , becomes 4(#. No$ solve them b6 adding top Numerators )O ans$er is 1(#.

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Question Number. 142. 3 3(4 4 2(3 '.Option A. # 5(12.Option . 0 5(12.Option ". 0 5(0.

"orrect Ans$er is. # 5(12.%&planation. add the $hole numbers9 34 ' 0 add the raction 3(4 2(3 ' (12 #(12 ' 10(12' 1 5(12 add on the 09 # 5(12.

Question Number. 143. An aircrat travels 14 nautical miles in 1 hour 45 minutes. What isthe average speed o the aircrat?.Option A. 05 8nots.Option . 245 8nots.Option ". # 8nots."orrect Ans$er is. # 8nots.

%&planation. Average speed is ound b6 dividing total distance b6 total time. 14 ( 1 3(4.


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Question Number. 140. .314 can be $ritten as.Option A. 3.14 & 1-5.Option . 3.14 & 15.Option ". 3.14 & 1-4."orrect Ans$er is. 3.14 & 1-5.

%&planation.


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Question Number. 152. What is the depth o a rectangular tan8 $hose volume is 4 cu. m.and has a base 5m b6 1m?.Option A. #m.Option . #cm.

Option ". .#m."orrect Ans$er is. #cm.%&planation. ' C * W * H


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"orrect Ans$er is. 30.5F.%&planation. < change a raction to a percentage irst ind the e7uivalent decimal in this case itis .305.


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Question Number. 1!0. Ho$ man6 millimetres in an inch?.Option A. 2.54.Option . 25.4.

Option ". 254."orrect Ans$er is. 25.4.%&planation. Nil

Question Number. 1!#. Iind the the area o a circular ring Whose outer diameter is 1 cmand inner diameter is ! diameter?.Option A. !4= s7. cm.Option . 1!= s7. cm.Option ". 4X s7. cm."orrect Ans$er is. 1!= s7. cm.

%&planation. Area o a ring is = 2-r2/ A ' =52-32/.

Question Number. 1!. Iind the area o the triangle sho$n.Option A. cm2 .Option . 12 cm2 .Option ". ! cm2 ."orrect Ans$er is. ! cm2 .%&planation. A ' 1(2bh $here b ' base and h ' height. En this case A ' 1(2 * 3 4 ' ! cm2 .

Question Number. 10. What is the area o the shape sho$n in s7uare cm?.Option A. 5.Option . 5.Option ". 5.."orrect Ans$er is. 5..%&planation. Divide the shape into three rectangles. 1 * 3/ 2 * 0/ 1 * 15/ '31415 ' 5 mm2 1 cm2 ' 1&1 ' 1mm2 so the ans$er is 5(1 ' 5. cm2 .

Question Number. 101. What is the area o the trapeium sho$n?.Option A. Area cannot be calculated rom inormation given.Option . 20 cm2 .Option ". 24 cm2 ."orrect Ans$er is. 24 cm2 .

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%&planation. Area o a trapeium called trapeoid in K)/ is A ' 1(2ab/h. a and b are the t$o parallel sides. h is the perpendicular distance bet$een them. A ' 1(250/4 ' !*4 ' 24 cm2.

Question Number. 102. What is the depth o $ater in the tan8 sho$n i the volume o $ateris 4 litres?.Option A. # cm.Option . 5 m.Option ". 5 cm."orrect Ans$er is. 5 cm.%&planation. 1 litre ' 1 cm3 4 litres ' 4 cm3 olume o $ater is 4m & 2m &depth "hange to cm 4 * 2 * depth ' 4


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%&planation. 24( ' ininit6.

Question Number. 10!. E 2F o 12 is 24 $hat is 24F o 2?.Option A. 4.#.

Option . 2#.Option ". 1#."orrect Ans$er is. 4.#.%&planation. 1F o 2 ' 2 thereore 2F o 2 ' 4 4F o 1 ' .4 thereore 4F o 2 '.#. 4 .# ' 4.#.

Question Number. 100. A shop 8eeper sold his car or U12. E this is #F o the bu6ing price ho$ much loss did he ma8e?.Option A. U5.Option . U15.

Option ". U3."orrect Ans$er is. U3.%&planation. u6ing price * #(1 ' 12 u6ing price * # ' 12 * 1 u6ing price '12(# ' 15 15-12 ' U3.

Question Number. 10#. 3 4-54-2/ '.Option A. 13.Option . 4.Option ". -3."orrect Ans$er is. -3.%&planation. 3 4-54-2/ ' 0-52/ 0>1 ' -3.

1.2a Algebra.

Question Number. 1. )olve the ollo$ing e7uation9 5& ' 3& 2.Option A. 3.Option . 5.Option ". 1."orrect Ans$er is. 1.%&planation. 5&-3& ' 2 2& ' 2 & ' 1.

Question Number. 2. )impli6 the ollo$ing $ /& - 6/6 - $/ ( 6 - &/$ - 6/$ /.Option A. -1.Option . .Option ". 1.

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"orrect Ans$er is. 1.%&planation. Iirst cancel the $/ because the6 are the same.


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Question Number. #. 21'43- is e7ual to.Option A. 21-43.Option . 4321.Option ". 43-21.

"orrect Ans$er is. 43-21.%&planation. 21'43- 21 ' 43 ' 43-21.

Question Number. . %valuate. 2[2 \2 3[-\2 / '.Option A. ![2 2 3&-2 .Option . !&2 2 -2&2 2 .Option ". !&3 2 -2&2 4 ."orrect Ans$er is. !&32 -2&2 4 .%&planation. Gultipl6 out the brac8ets and add the indices $here necessar6.

Question Number. 1. a * b/a * b/ '.Option A. a2 2ab b2 .Option . a2 b2.Option ". a2 b2."orrect Ans$er is. a2 b2 .%&planation. Do a & a-b/ i.e. e&pand that brac8et/ then do b & a-b/ i.e. e&pand that brac8ettoo/.


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Question Number. 13. Iind C in the ollo$ing e&pression.Option A. Q2 " ( 2 .Option . Q2 "2 ( .Option ". Q2 2 ".

"orrect Ans$er is. Q2

2

".%&planation. Q& to remove the rom H). )7uare both sides to remove the root rom H).Gultipl6 CH) b6 " to remove the " rom H) and 6ou are let $ith C.



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Option ". 15."orrect Ans$er is. 1!.%&planation. Gultipl6 out the brac8et irst. 3& ! ' 3 2&-#.


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Question Number. 23. E & in an e7uation e7uals C6 0cb deine the ormula or inding thesub@ect 6.Option A. &-0cb(C.Option . &-0cb(C.

Option ". &-C(0cb."orrect Ans$er is. &-0cb(C.%&planation. )ubtract the 0cb &-0cb/ then divide all b6 C.

Question Number. 24. !46 ' !4 $hat does 6 '.Option A. 1.Option . .Option ". .5."orrect Ans$er is. 1.%&planation. An6thing to the po$er o 1 is itsel.

Question Number. 25. )impli6 3a-2b !a-3b-2a.Option A. 0a-5b.Option . 0a 5b.Option ". 0a b."orrect Ans$er is. 0a-5b.%&planation. "ollect together li8e terms9 3a !a-2a-2b-3b ' 0a-5b.

Question Number. 2!. )impli6 3&-2&6-36 5&6-2& 26.Option A. & 3&6-6.Option . 5& 3&6-6.Option ". &-3&6 6."orrect Ans$er is. & 3&6-6.%&planation. "ollect together li8e terms9 3&-2& 5&6-2&6 26-36 ' & 3&6-6.

Question Number. 20. )impli6 5&-26/ 326-&/.Option A. 4& 46.Option . 2& 46.Option ". 2&-46."orrect Ans$er is. 2&-46.%&planation. emove the brac8ets irst9 5&-16 !6-3& "ollect li8e terms9 5&-3& !6-16 '2&-46.

Question Number. 2#. simpli6 ab/a-c/b-c/ divided b6 ba/c-a/c-b/.Option A. -1.Option . ab/a-c/b-c/.

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Option ". 1."orrect Ans$er is. 1.%&planation. ecause this is a series o multiplications on both top and bottom $e can do theollo$ing9 ab/(ba/ ' 1 a-c/(c-a/ 'a-c/(-a-c/ ' -1 b-c/(-b-c/ ' -1 hence the result is 1&-1&-1 '1.

Question Number. 2. Ga8e the sub@ect o the ormula E '


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"orrect Ans$er is. 4!1.%&planation. Add the t$o binar6 numbers then convert the result to decimal. Note9 ans$er BaBcannot be a binar6 number so is $rong b6 deault.

Question Number. !. What is 03# in binar6 coded decimal?.Option A. 111111.Option . 11111.Option ". 111111."orrect Ans$er is. 111111.%&planation. inar6 "oded Decimal is not the same as binar6.

Question Number. 0. A/4 is A/2 .Option A. A/! .Option . A/2 .

Option ". A."orrect Ans$er is. A/2 .%&planation. )ubtract the indices.

Question Number. #. log -log 3'.Option A. log !.Option . log 3.Option ". log ."orrect Ans$er is. log 3.%&planation. log ' log 3&3/ ' 2 log 3. 2 log 3-log 3 ' log 3.

Question Number. . What is 6 in the ormula sho$n? a'[/(6.Option A. a [/ ( .Option . [ - / (a.Option ". [ /( a."orrect Ans$er is. [ /( a.%&planation.


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Question Number. 11. E 2&-#6'14 and 4&#6'1!J then &'.Option A. -1(2.Option . 5.Option ". 3."orrect Ans$er is. 5.

%&planation. Add the & terms add the 6 terms and add the numbers on the right o the e7ualsign. r 2 > b.Option . > b/( r 2Option ". ( r 2 > b."orrect Ans$er is. ( r 2 > b.%&planation. asic transposition.

Question Number. 14. Ga8e m the sub@ect o the ormula in 6'm&c.Option A. 6-&(c.Option . 6-c(&.Option ". 6c(&."orrect Ans$er is. 6-c(&.%&planation. asic transposition.

Question Number. 15. Ga8e & the sub@ect o the ormula in 6 ' m&c.Option A. 6-c/(m.Option . 6-c(m.Option ". 6-m(c."orrect Ans$er is. 6-c/(m.%&planation. asic transposition.

Question Number. 1!. Ga8e c the sub@ect o the ormula in 6 ' m&c.Option A. 6-m&.Option . m&-6.Option ". 6m&."orrect Ans$er is. 6-m&.

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%&planation. asic transposition.

Question Number. 10. Octal is to the base o.Option A. 2.

Option . 1!.Option ". #."orrect Ans$er is. #.%&planation. Octal is base # numbering s6stem.

Question Number. 1#. 1111 in binar6 is.Option A. 4! base #.Option . 4! base 2.Option ". 4! base 1."orrect Ans$er is. 4!1.

%&planation. En binar6 each term means 32 1! # 4 2 1. Write do$n 1111 underneath andadd up the numbers above the 1Bs.

Question Number. 1. What is octal 13 in base 1?.Option A. 11.Option . 5.Option ". 4."orrect Ans$er is. 11.%&planation. Octal numbering is !4 # 1 etc. )o 13 is 1 & #Bs and 3 & 1Bs ' 11.

Question Number. 2. What t6pe o e7uation is this? a&2 b&c ' .Option A. Quadratic e7uation.Option . ol6nomic e7uation.Option ". Zradient o the line."orrect Ans$er is. Quadratic e7uation.%&planation. Quadratic.

Question Number. 21. What is [2 & [3/3 ?.Option A. [3!.Option . [ 15.

Option ". [ 1."orrect Ans$er is. [ 15.%&planation. [2 * [3 ' [5 [5 raised to the po$er 3 is [15.

Question Number. 22. He&adecimal is base.Option A. 1!.

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Option . #.Option ". 2."orrect Ans$er is. 1!.%&planation. He&adecimal is base 1!.

Question Number. 23. 6'm&c can also be $ritten.Option A. &'6-c(m.Option . &'6(mc.Option ". &'6(m-c."orrect Ans$er is. &'6-c(m.%&planation. asic transposition.

Question Number. 24. &6/2 ] & 6/# has a base and e&ponent o.Option A. &6/1.

Option . &6/-!.

Option ". &6/1(4."orrect Ans$er is. &6/-! .%&planation. E the bases are the same 8eep it the same but subtract the indices e&ponents/ idividing.Add the indices i multipl6ing/.

Question Number. 25. e$rite the ollo$ing $ith a positive inde&9 p$r-2 and & p$r-3.Option A. \[2 /2 J and [/3Option . 1(2 and 1(&3 .Option ". \(22J and 1(["orrect Ans$er is. 1(\2 and 1([3 .%&planation. Envert the variable e.g. 1( and $rite the po$er $ith the opposite sign/.

Question Number. 2!. 1112'.Option A. 22 .Option . 11.Option ". 351."orrect Ans$er is. 11.%&planation. 1 * 1!/ * #/ * 4/ 1 * 2/ 1 * 1/ ' 1.

Question Number. 20. 6 ' 2& 4 When & ' -1 6 '.Option A. 4.Option . 2.Option ". .5."orrect Ans$er is. 2.%&planation. 6'2-1/4'-24 '2.

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Question Number. 2#. What is 11112 in Octal?.Option A. 341.Option . 324.Option ". 452.

"orrect Ans$er is. 341.%&planation. A binar6 number ending in 1 must be an odd number $hen converted to an6 base.

Question Number. 2. "D ormat o numbering s6stem has a base o.Option A. #.Option . 2.Option ". 1."orrect Ans$er is. 2.%&planation. "D is base 2.

Question Number. 3.


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Question Number. 33. Ziven the log o A e&ceeds that o b6 4 ind the correct statementabout A and .Option A. A is 4 times the value o .Option . A is 1 times the value o .

Option ". A is 1 times the value o ."orrect Ans$er is. A is 1 times the value o .%&planation. log 1'1 log 1'2 log 1'3 log 1'4 log 1'5.

Question Number. 34. What is 11111 base2 in Octal?.Option A. 02.Option . !#4.Option ". 3!1."orrect Ans$er is. 3!1.%&planation. Divide into bloc8s o 3 rom right to let/ and convert each bloc8 into

D%"EGAC - 6ou have @ust converted to O"


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Question Number. 3#. What is log .1?.Option A. -.1.Option . .Option ". -1.

"orrect Ans$er is. -1.%&planation. Cog o .1 is al$a6s -1 log .1 ' -2 log .1 ' -3 etc/.

Question Number. 3. What is log 1?.Option A. 1.Option . 1.Option ". ."orrect Ans$er is. .%&planation. Cog o 1 is al$a6s .

Question Number. 4. What is the log o 2.2?.Option A. .40#2.Option . 4.0#2.Option ". 40.#2."orrect Ans$er is. 4.0#2.%&planation. Cog o a 5-igure number not including the decimal/ is al$a6s 4 pointsomething.

Question Number. 41. A 7uadratic e7uation has the real roots &'! and &'. Determine thee7uation $hich is satisied b6 these roots.Option A. &2-54&15'.Option . &2-15&54'.Option ". &215&-15'."orrect Ans$er is. [2 -15&54'.%&planation. "hange the sign o each root -! -. "oeicient o & is the addition the constant isthe multiplication. http9(($$$.themathpage.com(alg(7uadratic-e7uations.htm.

Question Number. 42. What is 11112 -112 ?.Option A. 11 2 .Option . 111 2 .Option ". 11 2 ."orrect Ans$er is. 1112 .%&planation. NEC.

Question Number. 43. What is the characteristic o 5.04?.Option A. 1.

49


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Option . -1.Option ". ."orrect Ans$er is. .%&planation. E 6ou ind the Cog o 5.04 it $ill be .---


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Question Number. 4. What is log A?.Option A. log A/.Option . log Alog .Option ". Cog A-Cog .

"orrect Ans$er is. log Alog .%&planation. %&ternal $ebsite.

Question Number. 5. What is CogA(?.Option A. log ACog .Option . log A-Cog .Option ". Cog A-/."orrect Ans$er is. log A-Cog .%&planation. %&ternal $ebsite.

Question Number. 51. log 12 '.Option A. 4.Option . Cog 2.Option ". Cog 2."orrect Ans$er is. 4.%&planation. log 1'2 22 ' 4.

Question Number. 52. Cog 1(2 '.Option A. Cog 2.Option . Cog #.Option ". 1."orrect Ans$er is. 1.%&planation. log 1'2 2(2 ' 1.

Question Number. 53. Cog 1cos!.Option A. .25.Option . 25.Option ". 2.5."orrect Ans$er is. 2.5.%&planation. Cog 1'2 cos!'.5 2.5'2.5.

1.3a Geometry.

51


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Question Number. 1. What is the e&ternal angle indicated on the igure belo$?.Option A. !.Option . 12.Option ". 3.

"orrect Ans$er is. 12.%&planation. NEC.

Question Number. 2. E a $heel o radius revolves 1(2 a turn ho$ man6 radians does itturn through?.Option A. 2= radians.Option . 2 2 radians.Option ". = radians.

"orrect Ans$er is. = radians.%&planation.


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Question Number. !.


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"orrect Ans$er is.


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Question Number. 10. Cocus points plotted e7uidistant rom a central points represent.Option A. circumerence.Option . diameter.

Option ". radius."orrect Ans$er is. circumerence.%&planation. Cocus is the line scribed b6 points moving e7uidistant rom a point - in this case it$ill scribe the circumerence o a circle.

Question Number. 1#. A circle contains.Option A. 2=r radians.Option . 2= radians.Option ". 4= radians."orrect Ans$er is. 2= radians.

%&planation.


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Option A. %7uilateral.Option . Esosceles.Option ". Obtuse."orrect Ans$er is. Esosceles.%&planation. NEC.

Question Number. 23. En an e7uilateral triangle all o the angles are e7ual to.Option A. = divided b6 3.Option . = divided b6 4.Option ". = divided b6 2."orrect Ans$er is. = divided b6 3.%&planation. )ince 3!L ' 2= radians 1#L ' = radians.


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Question Number. 2#. What is the height o an obli7ue p6ramid?.Option A.


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Option ".


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Question Number. 3. En a right angled triangle the longest side is 2cm long the shortestside is 12cm. What length is the last side?.Option A. 13.!cm.Option . 1#cm.

Option ". 1!cm."orrect Ans$er is. 1!cm.%&planation. 12-1!-2 triangle is a 3-4-5 triangle.

Question Number. 4.


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Option A. the angle subtended at the centre o a circle $hen the arc-length ormed bet$een t$oradial lines is e7ual to pi.Option . the angle subtended at the centre o a circle $hen the arc-length ormed bet$een t$oradial lines is e7ual in length to the radius.Option ". !!.!0L.

"orrect Ans$er is. the angle subtended at the centre o a circle $hen the arc-length ormed bet$een t$o radial lines is e7ual in length to the radius.%&planation. NEC.

Question Number. 45. Ho$ man6 degrees in = radians ?.Option A. 1#.Option . 3!.Option ". ."orrect Ans$er is. 1#.%&planation. 2= radians ' 3! degrees.



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Option ". a chord."orrect Ans$er is. a chord.%&planation. NEC. http9((en.$i8ipedia.org($i8i("hordVF2#geometr6F2.

Question Number. 5. What is the name given to a 7uadrilateral $ith t$o pairs o ad@acentsides e7ual and the diagonals intersect at right angles? Note not all the sides are e7ual?.Option A. 8ite.Option . parallelogram.Option ". rhombus."orrect Ans$er is. 8ite.%&planation. Dra$ the igure to chec8.

Question Number. 51. Iind the sie o the other t$o angles o an isoscelese triangle $ith oneangle o 1L.

Option A. 4L 4L.Option . 3L 3L.Option ". 1L 2L."orrect Ans$er is. 4L 4L.%&planation. Esoscelese triangle has 2 angles e7ual. E one angle is 1L the other t$o add up to#L.


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Question Number. 1. En the ollo$ing e7uation $hat is the 6-intercept? 46 ' 2& #.Option A. 2.Option . 4.Option ". #."orrect Ans$er is. 2.

%&planation. Iirst get rid o the 4 rom H) divide all b6 4/ 6 ' .5& 2. Entercept $ith 6-a&is is $hen & ' . )o put & ' and $hat is let? remember that .5 & ' /.

Question Number. 2. Ho$ man6 times does the &-a&is get crossed $hen 6 ' &2 -3.Option A. 3.Option . 1.Option ". 2."orrect Ans$er is. 1.%&planation. 6 ' &2 a 7uadratic/ is a shape li8e a BK-curveB $here the bottom o the BKB sits onthe / point.


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Question Number. !. A straight line graph has the e7uation 36 ' 12&>3 What is thegradient?.Option A. 1(4.Option . 4(1.Option ". 3(4.

"orrect Ans$er is. 4(1.%&planation.


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Option . 3(1.Option ". 2."orrect Ans$er is. 1(3.%&planation. +2-+1/(-/ 3-1 ' 2 -3 ' !. 2(! ' 1(3.

Question Number. 12. What is commonl6 reerred to as the la$ o a straight line?.Option A. 6 ' &2 plus 1#.Option .


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"orrect Ans$er is. -3(2.%&planation. Iirst put into the orm 6 ' m& c i.e. 6 ' -3&(2 3 m ' gradient hence gradient is-3(2.



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2& ' !.Option A. & ' 2 6 ' .Option . & ' 6 ' 2.Option ". & ' 6 ' ."orrect Ans$er is. & ' 6 ' 2.

%&planation.


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Question Number. 25. Which o the graphs sho$n is given b6 the e7uationJ 6 ' 2&3 4& 3 ?.

"orrect Ans$er is. Zraph in " is correct because it has t$o turning points.

%&planation. 6 ' a& b is a straight line 6 ' a&2

b is a 7uadratic $hich has one turning point6 ' a&3 b& c has t$o turning points.

1.3c Geometry.

Question Number. 1. What is the tangent o o?.Option A. Negative ininit6.Option . .Option ". ositive ininit6.

"orrect Ans$er is. ositive ininit6.%&planation.


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Option A. opposite divided b6 h6potenuse.Option . ad@acent divided b6 h6potenuse.Option ". opposite divided b6 ad@acent."orrect Ans$er is. opposite divided b6 h6potenuse.%&planation. ).O.H.".A.H.


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Question Number. 12. "omplete the ollo$ing9 )EN% a '.Option A. a s7uared times b s7uared.Option . opposite side divided b6 the h6potenuse side.Option ". ad@acent side divided b6 the opposite side."orrect Ans$er is. opposite side divided b6 the h6potenuse side.

%&planation. ).O.H.".A.H.


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%&planation. Kse 6thagoras theorem


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Question Number. 21. What sie o angle has the same ratio or both the sine and thecosine?.Option A. ! degrees.Option . degrees.Option ". 45 degrees.

"orrect Ans$er is. 45 degrees.%&planation. An isosceles right angled triangle has t$o 45 degree angles.


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Question Number. 2. Dividing 41(2 b6 2 1(! gives the ans$er o.Option A. 21(3.Option . 25(12.Option ". 54(2!.

"orrect Ans$er is. 54(2!.%&planation. 41(2 ' (2 21(! ' 13(!


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%&planation. Add the real numbers to each other then add the imaginar6 numbers to eachother and 8eep them separate.

Module 01 Mathematics EASA

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