ILTS 305 Math exam questions with
complete solutions 2024
Number j- jANS✓✓-basic jbuilding jblock
integer j- jANS✓✓-All jwhole jnumbers j(both jpositive jand jnegative) jand jzero.
prime jnumber j- jANS✓✓-A jwhole jnumber jthat jhas jexactly jtwo jfactors, j1 jand
jitself.
composite jnumber j- jANS✓✓-A jwhole jnumber jgreater jthan j1 jthat jhas jmore jthan
jtwo jfactors.
rational jnumber j- jANS✓✓-A jnumber jthat jcan jbe jwritten jas ja jfraction
irrational jnumber j- jANS✓✓-a jnumber jthat jcan jNOT jbe jexpressed jas ja jratio jof
jtwo jintegers jor jas ja jrepeating jor jterminating jdecimal j- jPi jor jany jsquare jroot jof
jan jimperfect jsquare jare jconsidered jirrational
Number jline j- jANS✓✓-
absolute jvalue j- jANS✓✓-The jdistance ja jnumber jis jfrom jzero jon ja jnumber jline
divisor j- jANS✓✓-The jnumber jby jwhich janother jnumber jis jdivided.
quotient j- jANS✓✓-the janswer jto ja jdivision jproblem
Parenthesis j- jANS✓✓-
Exponet j- jANS✓✓-number jthat jrepresents jthe jnumber jof jtimes jthe jbase jis
jused jas ja jfactor
root j- jANS✓✓-a jsolution jof jan jequation
perfect jsquare j- jANS✓✓-a jsquare jof ja jwhole jnumber
order jof joperations j- jANS✓✓-PEMDAS j(parenthesis, jExponents, jMultiplication,
jDivision, jAddition, jSubtraction)
, common jfactor j- jANS✓✓-Any jcommon jfactor jof jtwo jor jmore jnumbers.
prime jfactorization j- jANS✓✓-a jnumber jwritten jas jthe jproduct jof jall jits jprime
jfactors
GCF j(Greatest jCommon jFactor) j- jANS✓✓-the jgreatest jnumber jthat jis ja jfactor
jof jtwo jor jmore jnumbers
least jcommon jmultiple j(LCM) j- jANS✓✓-The jsmallest jmultiple j(other jthan jzero)
jthat jtwo jor jmore jnumbers jhave jin jcommon.
fraction j- jANS✓✓-part jof ja jwhole
numerator j- jANS✓✓-the jtop jnumber jin ja jfraction
denominator j- jANS✓✓-The jbottom jnumber jin ja jfraction
equivelent jfractions j- jANS✓✓-when jone jfraction jis jequal jto janother.
common jdenominator j- jANS✓✓-A jdenominator jthat jis jthe jsame jin jtwo jor jmore
jfractions.
Adding jand jSubtracting jFractions j- jANS✓✓-make jdenominator jsame jnumber
jthen jadd jor jsubtract jacross
Multiplying jFractions j- jANS✓✓-1. jMultiply jthe jnumerators.
2. jMultiply jthe jdenominators.
Dividing jFractions j- jANS✓✓-To jdivide jfractions, jinvert jthe jsecond jone jand
jmultiply
Multiplying jmixed jnumbers j- jANS✓✓-Change jto jan jimproper jfraction jand
jmultiply; jthen jchange jthe janswer, jif jin jimproper jform, jback jto ja jmixed jnumber
jand jreduce jif jnecessary.
Example: j3 j1/3 jx j2 j1/4 j= j10/3 jx j9/4 j= j90/12 j=
j7 j6/12 j= j7 j1/2`
adding jand jsubtracting jdecimals j- jANS✓✓-Line jup jthe jdecimal jpoints jand
jproceed jas jusual
Multiplying jDecimals j- jANS✓✓-Ignore jthe jdecimal jpoint juntil jthe janswer. jCount
jthe jnumber jof jDecimal jplaces jin jboth jfactors. jUse jthat jnumber jof jdecimal
jplaces jto jwrite jthe janswer.
complete solutions 2024
Number j- jANS✓✓-basic jbuilding jblock
integer j- jANS✓✓-All jwhole jnumbers j(both jpositive jand jnegative) jand jzero.
prime jnumber j- jANS✓✓-A jwhole jnumber jthat jhas jexactly jtwo jfactors, j1 jand
jitself.
composite jnumber j- jANS✓✓-A jwhole jnumber jgreater jthan j1 jthat jhas jmore jthan
jtwo jfactors.
rational jnumber j- jANS✓✓-A jnumber jthat jcan jbe jwritten jas ja jfraction
irrational jnumber j- jANS✓✓-a jnumber jthat jcan jNOT jbe jexpressed jas ja jratio jof
jtwo jintegers jor jas ja jrepeating jor jterminating jdecimal j- jPi jor jany jsquare jroot jof
jan jimperfect jsquare jare jconsidered jirrational
Number jline j- jANS✓✓-
absolute jvalue j- jANS✓✓-The jdistance ja jnumber jis jfrom jzero jon ja jnumber jline
divisor j- jANS✓✓-The jnumber jby jwhich janother jnumber jis jdivided.
quotient j- jANS✓✓-the janswer jto ja jdivision jproblem
Parenthesis j- jANS✓✓-
Exponet j- jANS✓✓-number jthat jrepresents jthe jnumber jof jtimes jthe jbase jis
jused jas ja jfactor
root j- jANS✓✓-a jsolution jof jan jequation
perfect jsquare j- jANS✓✓-a jsquare jof ja jwhole jnumber
order jof joperations j- jANS✓✓-PEMDAS j(parenthesis, jExponents, jMultiplication,
jDivision, jAddition, jSubtraction)
, common jfactor j- jANS✓✓-Any jcommon jfactor jof jtwo jor jmore jnumbers.
prime jfactorization j- jANS✓✓-a jnumber jwritten jas jthe jproduct jof jall jits jprime
jfactors
GCF j(Greatest jCommon jFactor) j- jANS✓✓-the jgreatest jnumber jthat jis ja jfactor
jof jtwo jor jmore jnumbers
least jcommon jmultiple j(LCM) j- jANS✓✓-The jsmallest jmultiple j(other jthan jzero)
jthat jtwo jor jmore jnumbers jhave jin jcommon.
fraction j- jANS✓✓-part jof ja jwhole
numerator j- jANS✓✓-the jtop jnumber jin ja jfraction
denominator j- jANS✓✓-The jbottom jnumber jin ja jfraction
equivelent jfractions j- jANS✓✓-when jone jfraction jis jequal jto janother.
common jdenominator j- jANS✓✓-A jdenominator jthat jis jthe jsame jin jtwo jor jmore
jfractions.
Adding jand jSubtracting jFractions j- jANS✓✓-make jdenominator jsame jnumber
jthen jadd jor jsubtract jacross
Multiplying jFractions j- jANS✓✓-1. jMultiply jthe jnumerators.
2. jMultiply jthe jdenominators.
Dividing jFractions j- jANS✓✓-To jdivide jfractions, jinvert jthe jsecond jone jand
jmultiply
Multiplying jmixed jnumbers j- jANS✓✓-Change jto jan jimproper jfraction jand
jmultiply; jthen jchange jthe janswer, jif jin jimproper jform, jback jto ja jmixed jnumber
jand jreduce jif jnecessary.
Example: j3 j1/3 jx j2 j1/4 j= j10/3 jx j9/4 j= j90/12 j=
j7 j6/12 j= j7 j1/2`
adding jand jsubtracting jdecimals j- jANS✓✓-Line jup jthe jdecimal jpoints jand
jproceed jas jusual
Multiplying jDecimals j- jANS✓✓-Ignore jthe jdecimal jpoint juntil jthe janswer. jCount
jthe jnumber jof jDecimal jplaces jin jboth jfactors. jUse jthat jnumber jof jdecimal
jplaces jto jwrite jthe janswer.
