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P6 MATHS
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SAPMATP6_W45Page 1/5
Taken from Learning Maths Book 6A
Revision: Algebra
Write your answers on the lines provided.
1. Simplify5a+9+7a–3.
2.
Lindaisbyearsold.Hermotheris6timesasoldasLinda.Hergrandmotheris20yearsolderthanhermother.FindLinda’sgrandmother’sage.
3. Evaluatethealgebraicexpressionwheny=13.8y–29+3y–18
4.
Theaveragemassofthreeboysis6vkg.Theaveragemassoftwogirlsis6vkg.Findtheaveragemassofthefivechildren.
5.
Georgeboughtadozenpencils.Thepencilscost$m.Whatwasthecostofeachpencil?
1.12a + 65a+9+7a–3=5a+7a+9–3=12a+6
2.(6b + 20) years old(6×b)+20=6b+20
3.968y–29+3y–18=(8×13)–29+(3×13)–18=104–29+39–18=96
4.6v kg3×6v=18v2×6v=12v18v+12v=30v30v÷5=6v
5.$(m ___ 12 )$m÷12=$(m ___ 12)
Solutions:
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P6 MATHS
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SAPMATP6_W45Page 2/5
Taken from Learning Maths Book 6A
Revision: Algebra
Do these word problems. Show your working clearly in the space
provided.
1. Rickis(n+4)yearsoldnow.Edwinis6yearsold.
(a)
Whatwillbetheirtotalagein10years’time?Expressyouranswerintermsofn.
(b) Ifn=8,findtheirtotalagein10years’time.
2.
Paulinehasmcards.Sarahhas3timesasmanycardsasPauline.Ivyhas22morecardsthanPaulinewhileCaseyhas(m+12)morecardsthanSarah.
(a)
Howmanycardsdotheyhavealtogether?Expressyouranswerintermsofm.
(b) If theyshareall
thecardsequally,howmanycardsdoeseachgirlget?Expressyouranswerintermsofm.
3.
Aliciaboughtawalletfor$29.Sheboughtabagwhichcost5timesasmuchasthewallet.
(a) IfAliciahad$y leftafterbuying these two
items,howmuchdidAliciahaveat first?Expressyouranswerintermsofy.
(b) Ify=52,howmuchdidAliciahaveatfirst?
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P6 MATHS
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1. (a)
(n+4)+6=n+10Theirtotalageis(n+10)yearsnow.(n+10)+10+10=n+30Theirtotalagein10years’timeis(n
+ 30) years.
(b) n+30=8+30=38Theirtotalagein10years’timeis38 years.
2. (a)
3×m=3mSarahhas3mcards.m+22=(m+22)Ivyhas(m+22)cards.3m+m+12=4m+12Caseyhas(4m+12)cards.m+3m+(m+22)+(4m+12)=9m+34Theyhave(9m
+ 34)cardsaltogether.
(b) (9m+34)÷4=9m+34____________4
Eachgirlgets(9m + 34 ____________4 )cards.3. (a) 5×$29=$145
Thebagcost$145.$29+$145+$y=$(174+y)Aliciahad$(174 +
y)atfirst.
(b) $(174+y)=$(174+52)=$226Aliciahad$226atfirst.
Solutions to Revision: Algebra
SAPMATP6_W45Page 3/5
Taken from Learning Maths Book 6A
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P6 MATHS
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SAPMATP6_W45Page 4/5
Taken from Learning Maths Book 6A
Revision: Angles
Write your answers on the lines provided.
1.
Thefigureisnotdrawntoscale.ABEDisatrapeziumwhereAD//BE.CDEisanisoscelestrianglewhereDE=DC.Find∠DAB.
2.
Thefigureisnotdrawntoscale.WXYisaright-angledtriangleandWYZisastraightline.Find∠WXY.
3.
Thefigureisnotdrawntoscale.ACBisanisoscelestrianglewhereAC=AB.CADisatriangle.CDEisastraightline.Find∠DAB.
X
WY
Z
129º
E D C
A B54º
67º132º
A D
C58º
B E
1.122º∠DEB=180º–58º=122º(∠sonastraightline)∠DAB=122º(opposite∠sareequal)
2.39º∠WYX=180º–129º=51º(∠sonastraightline)∠WXY=180º–90º–51º=39º(sumof∠sinaD=180º)
3.137º∠ACB=∠ABC=54º(isoscelesD)∠CAB=180º–54º–54º=72º(sumof∠sinaD=180º)∠CDA=180º–132º=48º(∠sonastraightline)∠CAD=180º–48º–67º=65º(sumof∠sinaD=180º)∠DAB=65º+72º=137º
Solutions:
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P6 MATHS
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SAPMATP6_W45Page 5/5
Taken from Mental Mathematics Book 6
Mental Maths: GENERAL REVISION 13
Do these sums mentally.
1. 79×39=
2. 64×125=
3. 112×715=
4. 192+382=
5. 505×99=
6. 175×858=
7. 15873×11=
8. 9+18+36+72+144=
9. 642=
10. 22+24+26+28+30=
Solutions:1.30812.80003.800804.18055.499956.1501507.1746038.2799.409610.130
