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PAPER 1 - OBJECTIVE - 1hr 15min - 40 QUESTIONS - 40 MARKS
PAPER 2 - SUBJECTIVE - 1hr 45min - 20 QUESTIONS - 60 MARKS
LINES & ANGLES IIPARALLEL LINES
TRANSVERSALS
LINES & ANGLES IIINTERIOR ANGLE
4 + 6 = 180⁰
LOOK FOR THE “U” SHAPE. IT MAY VARY UP TO 360⁰
LINES & ANGLES IIQUESTION : Find the value of x.
X
110⁰
100⁰
LINES & ANGLES IISOLUTION:
X
100⁰
180 -100 = 80⁰ ⁰ ⁰
LINES & ANGLES IISOLUTION:
X
100⁰
110 - 80 = 30⁰ ⁰ ⁰
80⁰
X = 180 – 30⁰ ⁰ = 150⁰
LINES & ANGLES IIALTERNATE ANGLE
say that 3 = 110⁰then 6 also = 110⁰
then 4 = 70⁰and 5 also = 70⁰
LINES & ANGLES IIQUESTION
130⁰ b
a
E D
A B C
In diagram. ABC and ED is a straight line. FIND the value of a + b
LINES & ANGLES IISOLUTION :
straight line is 180⁰;Therefore, a + b + 130⁰ = 180⁰
so, a + b = 180⁰ - 130⁰ = 50⁰
b
130⁰
a
a
A B C
E D
Look for “Z” shape.Notice that the TIP angle are equal.
POLYGONMOST IMPORTANT FORMULA : Total interior angle : (n – 2) x 180⁰ n = no.
of sides
Interior angle : (n – 2) x 180⁰ only can be used
n for
REGULAR POLYGON
POLYGONInterior Angle + Exterior Angle = 180⁰
2 types TRIANGLE - 2 LEGS has same length - Base Angles are same.
PolygonEquilateral Triangle - all 3 LEGS has same LENGTH - all interior angles are EQUAL - 180⁰ 3 = 60⁰
60⁰
60⁰ 60⁰
POLYGONPMR 2009
Find the value of y
POLYGON
1
2
4
3
5Solution :
-Look at the PARALLEL LINES PQ // SR (INTERIOR ANGLE)
180 – 70 ⁰ ⁰ = 110⁰
?
POLYGON - Count the no. of sides - Use formula to determine the TOTAL INTERIOR ANGLE (n – 2) x 180⁰
(5 - 2) x 180⁰ = 540⁰
y + 10o⁰ + 115⁰ + 70⁰ + 110⁰ = 540⁰y = 540⁰ – 395⁰ = 115⁰
110⁰ 1
2
3
4
5
CIRCLESCircumference of circle: 2πr
Area of a Circle : πr2
Length of ARC : x 2πr
π = a CONSTANT value
CIRCLES Chords : PR is perpendicular to AB
Angles is Circle:
a
2xa
CIRCLES A + B = 180⁰
C + D = 180⁰
CIRCLES
CIRCLES
CIRCLESa= 2xa
a =
a = 60 ; ⁰ and a is divided to two.
= 30⁰
x = 30⁰
a
BASE ANGLE
MATHEMATICS is EASY when
- know how to LOOK at the question - practice CONSISTENTLY
problems created at a consciousness only can be solved in a HIGHER LEVEL of awareness – EINSTEIN
MATHEMATICS BE PREPARED
STAY CALM
“A” is JUST AN ALPHABET !!!
GO FOR 100% MARKS
MK