P6 MATHS
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SAPMATP6_W50Page 1/5
Taken from Learning Maths Book 6B
Revision: Circles
Do these word problems. Show your working clearly in the space provided.
1. Asemicircleandaquadrantareenclosedinarectangleasshownbelow.Findtheareaoftheshadedpart.(Takeπ=3.14)
10cm
10cm
O
2. Thefigurebelowshowstwoidenticalcirclesandarectangle.Theradiusofeachcircleis28
cm. Findtheareaoftheshadedpart.(Takeπ= 22___ 7 )
O O
3. Thefigurebelowshowsasemicircleandthreeidenticalquadrantsremovedfromasquare.Thelengthofthesquareisfourtimesthediameterofthesemicircle.(Takeπ=3.14)
(a) Findtheareaoftheshadedpart.Roundoffyouranswertothenearestwholenumber.
(b) Find theperimeterof the shadedpart. Roundoff youranswer to thenearestwholenumber.
5cm 5cm
5cm
5cm
P6 MATHS
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1. Areaoftherectangle=30×20=600cm2
Areaofthesemicircle= 1__ 2 ×�r2= 1__ 2 ×3.14×10×10=157cm2
Areaofthequadrant= 1__ 4 ×�r2= 1__ 4 ×3.14×10×10=78.5cm2
600–157–78.5=364.5cm2
Theareaoftheshadedpartis364.5 cm2.
2. Areaoftherectangle=(2×28)×28=1568cm2
Areaofeachquadrant= 1__ 4 ×�r2= 1__ 4 × 22___ 7 ×28×28=616cm2
1568–616–616=336cm2
Theareaoftheshadedpartis336 cm2.
3. (a) Lengthofthesquare=4×5=20cm
Areaofthesquare=20×20=400cm2
Areaofthesemicircle= 1__ 2 ×�r2= 1__ 2 ×3.14× 5__ 2 × 5__ 2 =9.8125cm2
Areaofeachquadrant= 1__ 4 ×�r2= 1__ 4 ×3.14×5×5=19.625cm2
400 – 9.8125 – (3 × 19.625) = 331.3125 ≈ 331 cm2
Theareaoftheshadedpartis331 cm2.
(b) Circumferenceofeachquadrant= 2�r___ 4 = 2×3.14×5___________ 4 =7.85cm
Circumferenceofthesemicircle= �d___ 2 = 3.14×5________ 2 =7.85cm
7.85 + 10 + 7.85 + 10 + 7.85 + 10 + 7.85 + 15 = 76.4 ≈ 76 cm
Theperimeteroftheshadedpartis76 cm.
Solutions to Revision: Circles
SAPMATP6_W50Page 2/5
Taken from Learning Maths Book 6B
P6 MATHS
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SAPMATP6_W50Page 3/5
Taken from Learning Maths Book 6B
Revision: Pie Charts
Write your answers on the lines provided.
Thepiechartbelowshowsthedifferentactivitiesthataclassofstudentsenjoysdoingduringfreetime.Studyitcarefullyandanswerquestions1to3.
Jogging
Reading
Collectingstamps
Watchingmovies
25%
15%
Cycling
30%
1. If12studentslikecycling,howmanystudentsarethereintheclass?
2. Howmanystudentslikewatchingmovies?
3. Ifthenumberofstudentswholikereadingistwicethenumberofstudentswholikejogging,howmanystudentsliketoread?
1.40 students30%→1210%→12÷3=4
100%→10×4=40
2.10 students 25 ___ 100×40=10
3.8 students100%–25%–15%–30%=30%20%ofthestudentslikereading.
20 ___ 100×40=8
Solutions:
P6 MATHS
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SAPMATP6_W50Page 4/5
Taken from Learning Maths Book 6B
Revision: Pie Charts
Do these word problems. Show your working clearly in the space provided.
Thepiechartbelowshowsthenumberoffruitsoldbyashopkeeper.Studyitcarefullyandanswerquestions1and2below.
Papayas
Watermelons
20%
Bananas
Starfruit
25%
1. Iftheshopkeepersold300fruitaltogether,howmanywatermelonsdidhesell?
2. Howmuchmoneywouldhemakefromthesaleofstarfruitandpapayas ifhesoldeachstarfruitat$1.30andeachpapayaat$1.60?
1.100%–20%–25%–25%=30%
30 ___ 100 ×300=90
Hesold90watermelons.
2. 25 ___ 100 ×300=75
Hesold75starfruit.
20 ___ 100×300=60
Hesold60papayas.(75×$1.30)+(60×$1.60)=$193.50Hewouldmake$193.50.
Solutions:
P6 MATHS
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SAPMATP6_W50Page 5/5
Taken from Mental Mathematics Book 6
Mental Maths: GENERAL REVISION 18
Do these sums mentally.
1. 64÷1 1__3 =
2. 882=
3. √_______
17161 =
4. 3√_______
42875 =
5. 347×99=
6. 49×111=
7. 33 1__3 %of174=
8. 182×429=
9. 212–202=
10. 17+18+19+20+21+...+54=
Solutions:1.482.77443.1314.355.343536.54397.588.780789.4110.1349
