Cxc Math paper June 2011
v
%.
FORM TP 2011092
TEST CODE
OI234O2O
MAY/JUNE 2011
CARIBBEAN EXAMINATIONS COUNCIL
SECONDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 02
-
General Proficiency
2 hours 40 minutes
18
MAY 2011 (a.m.)
INSTRUCTIONS TO CANDIDATES
1.
This paper consists of TWO sections.
2.
There are EIGHT questions in Section I and THREE questions in Section II.
3.
Answer ALL questions in Section I, and any TWO questions from Section II.
4.
Write your answers in the booklet provided.
5.
All working must be clearly
6.
A list of formulae is provided on page 2 of this booklet.
shown.
Required Examination Materials
Electronic calculator
Geometry set
Graph paper (provided)
-
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
Copyright O 2009 Caribbean Examinations Council
All rights reserved.
01234020/F 2011
v
Page2
LIST OF F'ORMULAE
:
Volume of a prism
Ah where A is the area of a cross-section and h is the perpendicular length. Volume of cylinder
V: nf h where r is the radius of the base and h is the perpendicular
Volume of a right pyramid
fi
: nwhere
I
Circumference
C
:2nr where r is the radius
Arc length
S: +
360
V
height.
Ais the area of the base and ft is the perpendicular height.
of the circle.
x 2nr where 0 is the angle subtended by the arc, measured in
degrees.
: nf where r is the radius of the circle.
Area of a circle
A
Area of a sector
o: *n
Area of trapezitm
A: J: @ + b) & where a and b are the lengths of the parallel sides and ft is
2'
0
x nr2 where 0 is the angle of the sector, measured in degrees.
the perpendicular distance between the parallel sides.
Roots of quadratic equations
If
af +bx+c:0,
- -bxJU' -+ai
2a
then x
Trigonometric ratios
opposite side sin 0 _ hypotenuse cosO:
Area of triangle
adjacent side
tanO:
Opposite
oooosite side
%.
FORM TP 2011092
TEST CODE
OI234O2O
MAY/JUNE 2011
CARIBBEAN EXAMINATIONS COUNCIL
SECONDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 02
-
General Proficiency
2 hours 40 minutes
18
MAY 2011 (a.m.)
INSTRUCTIONS TO CANDIDATES
1.
This paper consists of TWO sections.
2.
There are EIGHT questions in Section I and THREE questions in Section II.
3.
Answer ALL questions in Section I, and any TWO questions from Section II.
4.
Write your answers in the booklet provided.
5.
All working must be clearly
6.
A list of formulae is provided on page 2 of this booklet.
shown.
Required Examination Materials
Electronic calculator
Geometry set
Graph paper (provided)
-
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
Copyright O 2009 Caribbean Examinations Council
All rights reserved.
01234020/F 2011
v
Page2
LIST OF F'ORMULAE
:
Volume of a prism
Ah where A is the area of a cross-section and h is the perpendicular length. Volume of cylinder
V: nf h where r is the radius of the base and h is the perpendicular
Volume of a right pyramid
fi
: nwhere
I
Circumference
C
:2nr where r is the radius
Arc length
S: +
360
V
height.
Ais the area of the base and ft is the perpendicular height.
of the circle.
x 2nr where 0 is the angle subtended by the arc, measured in
degrees.
: nf where r is the radius of the circle.
Area of a circle
A
Area of a sector
o: *n
Area of trapezitm
A: J: @ + b) & where a and b are the lengths of the parallel sides and ft is
2'
0
x nr2 where 0 is the angle of the sector, measured in degrees.
the perpendicular distance between the parallel sides.
Roots of quadratic equations
If
af +bx+c:0,
- -bxJU' -+ai
2a
then x
Trigonometric ratios
opposite side sin 0 _ hypotenuse cosO:
Area of triangle
adjacent side
tanO:
Opposite
oooosite side