9. 2
5
242.11 ×−=
Q.2: DecimalsQ.2: Decimals
express the answer as a decimal
5
2
242.11 ÷−Calculate the value of
Answer :Answer :
542.11 −=
42.6=
(1)
(1)
14. Q.4: Enlargement (Similarity)Q.4: Enlargement (Similarity)
In Diagram 4, triangle XYZ and triangle FGH are similar.
GFH∠
HFG∠
State:
(a) The angle in triangle FGH which corresponds to
Y XZ∠
Answer :Answer :
70°70°
70°70°
or GFH∠
YXZ∠
15. Q.4: Enlargement (Similarity)Q.4: Enlargement (Similarity)
In Diagram 4, triangle XYZ and triangle FGH are similar.
State:
(b) The side of triangle FGH which corresponds to the
side XY of triangle XYZ.
Answer :Answer :
70°70°
70°70°
FG or GF
17. Q.5: TrigonometryQ.5: Trigonometry
In Diagram 5, JKL and LMN are right angled triangles.
(a) Calculate the length, in cm, of LM.
Answer :Answer :
Given that:
5
3
sin =
x
(3)(3)
(5)(5)
(4)(4)
6 cm
8 cm
KL = 6cm LM = KM – KL
LM = 19cm – 6cm
LM = 13cm
(1)
(1)
13 cm
18. 5 cm5 cm
Q.5: TrigonometryQ.5: Trigonometry
5
3
sin =
x
In Diagram 5, JKL and LMN are right angled triangles.
Given that:
(3)(3)
(5)(5)
(4)(4)
6 cm
8 cm
(b) Find the value of tan y°.
Answer :Answer :
13 cm
12
5
tan =
y (1)
20. Q.6: Transformation I (Translation)Q.6: Transformation I (Translation)
Diagram 6 in the answer space shows polygon Q drawn on the square
grid of 1 unit. Q‘ is the image of Q under a translation . Draw
the image of Q.
−
−
6
7
Q’
21. Q.7: Transformation IIQ.7: Transformation II
(Enlargement)(Enlargement)
Diagram 7 shows two triangles, ABC and A’B’C’, drawn on a Cartesian
Plane. A’B’C’ is the image of ABC under transformation G. Describe in
full transformation G.
Answer :Answer :
(13,0)
Transformation G is an Enlargement
Scale factor
Centre
(1)
(1)
(1)
2
1
(13,0)
25. LOCI IN TWO DIMENSIONSLOCI IN TWO DIMENSIONS
10
[5 marks][5 marks]
2005 2006 2007 2008 2009
26. Q.10: Loci in Two DimensionsQ.10: Loci in Two Dimensions
Diagram 10 in the answer space shows two intersecting lines, PQ and QR.
(a) On the diagram, construct
(i) the locus of point X which moves such that it is equidistant from the
lines PQ and line QR.
(ii) the locus of point Y which moves such that it is equidistant from the
point Q and point R.
(iii) Hence mark with the symbol the intersection of the locus X and the
locus Y.
⊗
27. Q.10: Loci in Two DimensionsQ.10: Loci in Two Dimensions
Answer:
1 2
3
Locus X
1
28. Q.10: Loci in Two DimensionsQ.10: Loci in Two Dimensions
Answer:
Locus X
4
4
Locus Y
5
29. Q.10: Loci in Two DimensionsQ.10: Loci in Two Dimensions
Answer:
Locus X
Locus Y
⊗
Point of intersection
31. Q.11: Geometrical ConstructionsQ.11: Geometrical Constructions
11 (a) Diagram 11.1 shows a quadrilateral ABCD.
Measure using a protractor.ABC∠
AnswerAnswer ::
113° ± 1°
32. Q.11: Geometrical ConstructionsQ.11: Geometrical Constructions
11 (b) Diagram 11.2 shows a triangle PQR.
By using only a ruler and a pair of compasses, construct triangle PQR on
the straight line PQ provided in the answer space.
35. Q.12: Algebraic Expressions IIIQ.12: Algebraic Expressions III
(Algebraic Fractions)(Algebraic Fractions)
p
p
3
)36(6 −−
p
p
3
69 −
=
p
p
3
366 +−
=
Express as a single fraction in its simplest
form.
Answer :Answer :
p
p
3
)23(3 −
=
p
p
p 3
362 −
−
p
p23−
=(1)
(1)
(1)
37. Q.13: Algebraic FormulaeQ.13: Algebraic Formulae
52 += m
p
m
)52( += mpm
pmpm 52 +=
Given that , express m in terms of p
Answer :Answer :
m
p
m
25 =−
pmpm 52 =−
ppm 5)21( =−
p
p
m
21
5
−
=(1)
(1)
(1)
41. Solve each of the following equations:
(a)
(b)
Q.15: IndicesQ.15: Indices
( )34
y
( ) 25234
baba ÷−
34×
y
Answer :Answer :
(a) (b)
12
y=
252324
baba ÷×−×
2568
baba ÷= −
2658 −−−
= ba
83 −
= ba
(1) (1)
(1)
44. List all the integer values of x which satisfy both the inequalities
and
Q.17: Linear InequalitiesQ.17: Linear Inequalities
54 ≤−x 2
3
>
x
9≤x
Answer :Answer :
45 +≤x 32×>x
6>x
96 ≤< x
x=7,8,9
(1) (1)
(1)
45. STATISTICS I (Charts)STATISTICS I (Charts)
18 & 19
2 marks / [ 1 + 2 =3 marks]2 marks / [ 1 + 2 =3 marks]
YearYear TopicTopic
20052005 Pie ChartPie Chart
20062006 Line GraphLine Graph
20072007 Vertical Bar ChartVertical Bar Chart
20082008 Pie ChartPie Chart
20092009 Horizontal Bar ChartHorizontal Bar Chart
46. Q.18: Statistics II (Pie Charts)Q.18: Statistics II (Pie Charts)
)10012590(360 °+°+°−°=°x
°=°
°−°=°
45
315360
x
x)10012590(360 °+°+°−°=°x
Diagram 18 is a pie chart which shows the distribution of a number of students
who scored Grade A,B,C or D in their Mathematics Test.
(a) State the mode of the data
(b) Calculate the percentage of the students
Scored grade D in the test.
Answer:
(a)
(b)
Grade C
5.12100
360
45
=× %
(1)
(1)
(1)
47. Table 19 shows the favourite hobbies of a group of studentsTable 19 shows the favourite hobbies of a group of students
Q.19: Statistics I (Horizontal BarQ.19: Statistics I (Horizontal Bar
Chart)Chart)
On Diagram 19 in the answer space, the information for Reading is shown in the barOn Diagram 19 in the answer space, the information for Reading is shown in the bar
chart. Complete the bar chart to represent all the information in Table 19.chart. Complete the bar chart to represent all the information in Table 19.
48. Q.19: Statistics I (Horizontal BarQ.19: Statistics I (Horizontal Bar
Chart)Chart)
Answer:Answer:
50. Table 20 shows the values of two variables, x and y, of a function.Table 20 shows the values of two variables, x and y, of a function.
Q.20: Graphs of FunctionsQ.20: Graphs of Functions
Table 20Table 20
Jadual 20Jadual 20
x -4-4 -3-3 -2-2 -1-1 00 11 22
y 66 22 00 22 88 1818 3232
The x-axis and the y-axis are provided on the graph paper on page 21
(a)(a) By using a scale of 2 cm to 5 units, complete and label the y-axisBy using a scale of 2 cm to 5 units, complete and label the y-axis
(b) Based on Table 20, plot all the points on the graph paper(b) Based on Table 20, plot all the points on the graph paper
(c) Hence, draw the graph of the function.(c) Hence, draw the graph of the function.
