s through O by an enlargement, centre O and scale factor 2 d Required To Calculate: Calculation
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CARIBBEAN EXAMINATIONS COUNCIL - CXC
eral Proficiency Mathematics examination is offered in January and In May/June 2008 approximately 20 000 candidates registered for the Paper 01 – Multiple Choice
09 CSEC Maths JUNE 2008 T&T
s through O by an enlargement, centre O and scale factor 2 d Required To Calculate: Calculation
Cxc Math 2008 Past Paper Answer - eBook ePub Kindle
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(TRINIDAD AND TOBAGO PAPER ONLY)
aa aaaaaaCopyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg R of LS www.faspassmaths.comb.!Data:
yy yyy yCopyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg L of LS www.faspassmaths.com When
3223
yx '=3223ACopyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg O of LS www.faspassmaths.comDet
1 A 1! A
1 yxy xIy xAA '=25
AC ACAC LMN! 4=x
!!!!!!Copyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg GS of LS www.faspassmaths.com
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(TRINIDAD AND TOBAGO PAPER ONLY)
1.÷a. Required To Calculate:
Calculation:
Numerator:
Hence,
b.÷Data: Table showing the tax allowances for Mr. Allen. (i) Required To Calculate: His annual salary.Calculation:
For 2007 Mr. Allen's monthly salary is $7 500.
Hence, annual salary
851311512!
1513152033154511334
511311512
form)exactin(158138151381315138511513
851311512
125007$!=
00090$=Copyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg G of LS
www.faspassmaths.com (ii) Required To Calculate: Total allowances for 2007.Calculation:
Total tax allowances for Mr. Allen according to the given table:For self $10 000
For wife $ 5 000
For 3 children $ 7 500
Total ERR OSS
8iiiC Required To Calculate: Mr. AllenÕs income tax for 2007.
Calculation:
Taxable income = Gross salary Ð Tax allowances
Mr. AllenÕs income tax
(iv) Required To Calculate: Percentage of Mr. AllenÕs annual salary paid in income tax.Calculation:
Percentage of Mr. AllenÕs annual salary paid in income tax2.!a. Required To Simplify:
Solution:
( )25003!50067$50022$00090$
50067$10022!=
85014$=
%5.161000009085014100
SalaryGrossTaxIncome
2 13!a1691339131313
222aa aaaaaaCopyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg R of LS www.faspassmaths.comb.!Data:
Required To Make: p the subject of the formula.
Solution:
c.!Required To Factorise (i)Solution:
(i) (ii) (This is a difference of 2 squares) d.!Data: andRequired To Calculate: x and y
Calculation:
LetÉ(1)
É(2)
From equation (1)
Substituting in equation (2)
pq+=35 8 C qqpqpqpqqpqpqpq 35355315335
13 5 22225)(,63qpiinmn!!
nnmnnmn!!!"="23363 2 ( )nmn23!= 2222525qpqp!=!
( )( )qpqp+¢=551923=!yx432=+yx
1923=-yx
432=+yx
31921923
yxyx12938443331922343
31922yy yyy yCopyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg L of LS www.faspassmaths.com When
Hence, and .
OR LetÉ(1)
É(2)
Equation (1)
É(3)
Equation (2)
É(4)
Substitute in equation (1).
Hence, and .
OR213262613381213
y yy2!=y( )19223=!!x
51534193
x xx5=x2!=y
1923=÷yx
432=+yx
3!5769=!yx
2!864=+yx
5136565138645769
x xyxyx 5=x224421519219253
y yyy5=x2!=yCopyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg P of LS
www.faspassmaths.comFinding the coordinates of 2 points on the line.
x y L T O Y GFind the coordinates of R points on the lineH
x y TG R ( TP If we draw the two straight lines on the same axesA The point of intersection is 8OA TRC from which we deduce and H OR LetÉ(1)
É(2)
Expressing in matrix form
Let19321923
xyyx423432
xyyx5=x2!=y
1923=!yx
432=+yx
4193223
yx '=3223ACopyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg O of LS www.faspassmaths.comDet
Matrix equation
Equating corresponding entries.
and .3.!a. Data: Venn diagram.
( ) ( )2233!""!=Aèae
èae
133132132
1333233
131131 A 1! A
132613651312
1338138
13574133191324
132191334
19 13 3132132
1331 yxy xIy xAA '=25
5=x2!=yCopyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg F of LS
www.faspassmaths.com(i) (a) Required To List: Members of .Solution:
as seen on the given diagram. (b)!Required To List: Members of .Solution:
(ii) Required To Find: .Solution:
(iii) (a) Required To Describe: U in words.Solution:
U = {Even numbers from 2 to 30 inclusive}
(b)!Required To Describe: H in words.Solution:
H = {multiples of 6}
(Since the universal set is from 2 to 30 we need not say Ômultiples of 6 from 2 to 30Õ). b. (i) Required To Construct: Quadrilateral PQRS, in which PQ = 8 cm,QR = 4 cm, PS = 6.5 cm, and .
NOTE: The angles 125
0 and 70 0 cannot be constructed and are drawn using the protractor. HG! { }24,12=÷HG HG-" HG GH ( )HGn-930,18,6,24,12,20,16,8,4
HGnHG¡=125ˆRQP°=70ˆSPQCopyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg Y of LS
www.faspassmaths.comSolution:
(ii) Required To Find: Length of RS.Solution:
RS = 8.6 cm (by measurement)
4.!Data: Given a triangular prism with right-angled isosceles triangles at both ends.
a. Required To Calculate: Area ofCalculation:
Area of
ABC!244!="ABC
2 cm8=Copyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg ( of LS www.faspassmaths.com b.!Required To Calculate: Length of edge CD.Calculatio
n: Volume of prism = Cross-sectional area Length CD c. Required To Calculate: Length of edge AC.Calculation:
d. Required To State: Number of faces, edges and vertices of the prism.Solution:
No. of faces: 2 triangular
1 !rectangular side 1 !rectangular base 1 !rectangular slopingTotal O
NoH of edges: ABA BCA ACA EFA FDA EDA AEA BEA CF
Total = )
NoH of vertices: AA BA CA DA EA F
Total = F
OH!Data: drawn on labeled axes.
a. Required To Draw: Line on the diagram.Solution:
Line is shown on the diagram.
cm9728 CDCD 2222AC ACAC LMN! 4=x
4=xCopyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg ) of LS
www.faspassmaths.com b. Required To Draw: , the image when is reflected in the lineSolution:
as shown on the diagram. c.!Data: (i) Required To Draw: .Solution:
, and plotted and drawn, as shown on the diagram. (ii) Required To Describe: The transformation that maps ontoSolution:
and pass through O. by an enlargement, centre O and scale factor 2. d.!Required To Calculate:Calculation:
Since,
Then,NML!!!"LMN!
4=x ( ) ( ) ( )2,5and6,5,1,74xinReflection
NMLNMLLMN
( ) ( ) ( )4,6,12,6,2,2!!=""!!=""!!=""NMLNML!!!!!!"
L¢¢M!!N!!NML!!!!!!"
LMN!NML!!!!!!"
MMLL¢¢¢¢,NN¢¢
MLLMNLLNMN
NM 2 48NMLLMN!!!!!!"#"$
LMNofAreaNML!ofArea!!!!!!
1:2:=!!!!LMML
1412LMNofAreaNML!ofArea
22!!!!!!Copyright © RSG)H Some Rights ReservedH wwwHfaspassmathsHcomPg GS of LS www.faspassmaths.com