The document contains 7 multi-part math word problems involving topics like: - Completing tables and graphs from functions - Finding values from graphs and equations - Drawing diagrams and calculating areas from transformations - Solving simultaneous linear equations using matrices and algebra The problems progress from completing tables and graphs to applying transformations, inverses, and solving simultaneous equations. Diagrams, tables, and algebraic steps are required to solve the various parts of each multi-step problem.

1. amir2782@yahoo.com
1(a) Lengkapkan Jadual 6 bagi persamaan y = 6
x
, di mana –4 x 4.
x –4 –3 –2 –1 1 2 3 4
y –2 –3 –6 3 2 1.5
Table 6 Jadual 6
[2 marks]
[2 markah]
(b) Dengan menggunakan skala 2 cm kepada 1 unit pada kedua-dua paksi-x dan paksi-y,lukis graf y = 6
x
dalam julat –4 x 4. [5 markah]
(c) Daripada graf anda, cari
(i) nilai y apabila x = 3.5,
(ii) nilai x apabila y =–4. [2 markah]
(d) Lukis satu garis lurus yang sesuai pada graf anda untuk mencari semua nilai x yang memuaskan
persamaan 6
x
= 2x + 1 dalam julat –4 x 4. [3 markah]
2. The table below shows the frequency distribution of the body mass (kg) of 80
students.
(a) (i) State the modal class.
(ii) Calculate the mean mass of the students. 4 marks
(b) Based on the data in (a), complete the following table. 3 marks
Mass (kg) Upper Boundary
Cumulative
Frequency
25 - 29 29.5 0
30 - 34
80
(c) For this part of the question, use the graph paper.
By using a scale of 2 cm to 5 kg on the x- axis and 2 cm to 10 students on the
y-axis, draw an ogive based on the data. 3 marks
(d) From the ogive in (c), find the interquartile range. 2 marks]
Mass (kg) 30 – 34 35 – 39 40 – 44 45 – 49 50 – 54 55 – 59 60 -64
Frequency 5 8 11 21 22 10 3

2. amir2782@yahoo.com
3. a) The diagram shows a prism on a horizontal plane and BCGJF is the uniform cross section
of the prism. AE, BF, CG AND DH are vertical edges. Square EFJI is a horizontal plane while
rectangle DGHI is an inclined plane. It is given that EF = 4 cm, AE = BF = 2 cm and CG = DH =
5 cm.
Draw in full size, the plan of the solid.
b) A half-cylinder is joined to the prism at the plane AEIP. It is given that KEA = 8 cm and the
diameter of semicircle KML = 4cm.
Draw in full size,
i) the elevation of the solid on a vertical plane parallel to AB as viewed from X.
ii) the elevation of the combined solid on a vertical plane parallel to BC as viewed from Y.
Y
P
4cm
J
7cm
B
H
G
5cm
I
C
A
F
E
D
2cm
c
K
LM
N
X
4cm
J
7cm
B
H
G
5cmI
C
A
F
E
D
2cm
c

3. amir2782@yahoo.com
4.
(a) Transformation T is a translation
6
2
 
 
 
.
Transformation P is a reflection in the line 3y  .
Transformation R is a rotation of 180 about the centre (0, 2).
Find the coordinates of the image of point (2, 1) under the following
transformations:
(i) P,
(ii) R,
(ii) TP.
[4 marks]
(b) Diagram 1 shows three trapeziums, ABCD, PQRS and PTUV, drawn on a
Cartesian plane.
(i) PTUV is the image of ABCD under a combined transformation GH.
R
T
Q
U
VSP
O
2
4
6
8
2 4
y
x– 2– 4– 6
Diagram 1
– 2
6
B
A
C
D

4. amir2782@yahoo.com
Describe in full the transformation
(a) H,
(b) G.
(ii) It is given that the trapezium PTUV represents a region of area 65.5 cm2.
Calculate the area, in cm2, of the region represented by the shaded region.
[8 marks]
5. a) Given that matrix is the inverse matrix of , find the value of p.
(a) the inverse matrix of M
(b) hence, using matrices, the values of u and v that satisfy the following
simultaneous equations :
u – 6v = 9
- u + 9v = -12
6. Calculate the value of x and of y that satisfy the following simultaneous linear
equations.
2
2
1
 yx
82  yx
[4 marks]
7 Calculate the value of u and of v that satisfy the following simultaneous linear
equations.
7
2
3
 vu
62  vu
4 marks








p
3
1
23








91
61