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 !!!

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MK