EXAM TIPS.

ANGLE PROPERTIES

interior angles alternate angles : angles a and b

Angles at a point : angles a, b, c

Adjacent angles : angles a and b

Vertically opposite angles : angles a and b

PRIME NUMBERS

Are numbers that are made up with only two factors, 1 and the number itself.

eg. 2,3,5,7,11

COMPOSITE NUMBERS

Are numbers that have more than two factors.

eg. 9=3x3x3 , 60=2x2x3x5

*smaller number always comes first

HIGHEST COMMON FACTOR (HCF)

look for lowest common number that can divide both numbers

eg. 2|60,50

5|30,25 = 2x5= 10

| 6 , 5

LOWEST COMMON FACTOR (LCM)

divide till both numbers are 1.

eg. 2|60,50

5 |30,25

5 | 6 , 5 = 2x5x5x6

6 | 6, 1

| 1 ,1

PERFECT SQUARE

All numbers must be in pairs.

eg. 60 = 2x2x3x5

so, we're short of another 3 and 5.

3x5 = 15. (final answer)

*if its a 2 marks question, remember to show workings.

PERFECT CUBE

All numbers must come in threes

eg. 60= 2x2x3x5

so we're short of 2 , two 3, and two 5.

2x3x3x5x5=450(final answer)

SIGNIFICANT FIGURES

eg. square root 48.9 =(round off) square root 49 = 7.0(2sf)

= 7.00(2dp)

INTEGER

Whole numbers

eg. -1 , -2 , -3 , 3 , 2 , 1

|----------------------------|---|---|---|---|---|---|---|---|------------------|

12.9 -3 -2 -1 0 1 2 3 4 5 15.5 degrees c.

( Lowest ) -12.9 <>

lowest integer--> 12

highest integer--> 15

difference in degrees-->15.5-(-12.9)

= 28.4 degrees c.(x)

*distributive law - x - = +

RATIONAL NUMBERS

Are whole numbers, fractions and recurring decimals.

. 124

eg. 5(whole number) , 0.1 8(recurring decimals) , 3 ____(fractions)

250

IRRATIONAL NUMBERS

Numbers that cannot be represented on the nunber line

eg. square root 7= 2.64.........

GRAPH

*if the two lines are parallel //, then their gradient is the same

*if the line slopes the the right, its gradient will be a positive number

*if the line slopes to the right, its gradient will be a negative number.

y = 2 x + 3 <--equasion(sp?)

in this case,

2 is the gradient,

3 is the y intercept.

y2-y1

gradient (rise over run) = ______

x2 -x1

OR

y= mx+ c

mx is the gradient,

c is the y intercept.