Preparation for SPERS – JC/MI (Math Paper) 2012

Numbers

Important TermsRational Numbers – Numbers that can be expressed as a fraction.Irrational Numbers – Numbers that cannot be expressed as a fraction.Natural Numbers – All whole numbers excluding 0.Even Numbers – Whole numbers divisible by 2.Odd Numbers – Whole numbers not divisible by 2.Integers – Whole numbers that can be positive, negative or 0.Prime Numbers – Natural Numbers which only has 2 different factors.Composite Numbers – Natural Numbers that has more than 2 different factors.

BIDMAS RULE

Try these questions out!

Q1. (2×4+3)+2÷2

Q2. (3+3 )×2+(4−3)

Q3. (3+22)×4

1 By Evi Ong

Preparation for SPERS – JC/MI (Math Paper) 2012

EstimationSignificant Figures- Start with the first non-zero number from left to right.

Try identifying the first non-zeros!

Q1. 10.25Q2. 0.0010056Q3. 1.053

Try rounding them off to 3 significant figures!- Include an extra digit for consideration.

If it is more than 5, add 1 to the previous digit. Else, drop it.

Q1. 10.25

Q2. 0.0010056

Q3. 1.053

SQUARES, SQUARE ROOTS, CUBE, CUBE ROOTSPerfect Squares are squares of whole numbers. (e.g. 1, 4, 9)

72=49

√49=7

Perfect Cubes are cubes of whole numbers. (e.g. 1, 8, 27)

72=49

√49=7

2 By Evi Ong

Preparation for SPERS – JC/MI (Math Paper) 2012

Map ScalesUsually expressed in terms of 1: n, where both values are in centimeters.

1km = 1000m1m = 100cm

Example

A map is drawn to a scale of 1:50 000

(1cm on map represents 50 000cm on the actual ground)

(a) How far is it in centimeters on the map between two villages which are 2km apart?

(b) On the map, a plot of land has an area of 4 c m2 .What is the actual area in k m2 .

3 By Evi Ong

Preparation for SPERS – JC/MI (Math Paper) 2012

Laws of Indices

Try these questions!

Simplify the following equations and express them in INDEX FORM.

1) 54×53=¿

2) 54÷53=¿

3) (33 )2=¿

4) x7× x3=¿

4 By Evi Ong

Preparation for SPERS – JC/MI (Math Paper) 2012

5) x3× x4× x−3=¿

6) m−4n−3

m−3n−2=¿

7) p3q2× p5q4=¿

8) x−4÷ x−7=¿

9) (a2×a−5 )−3=¿

10) y0+60×22=¿

Algebra

Evaluation (To Solve)Evaluate a + 2b – 3c , when a=-2, b=3, c=4.

5 By Evi Ong

Preparation for SPERS – JC/MI (Math Paper) 2012

6 By Evi Ong

Preparation for SPERS – JC/MI (Math Paper) 2012

Factorisation1) Find common factors

Example: ax+bx=¿

2 )Regroup Terms

Example: ax+bx+kay+kby=¿

3 )Use the formula

4 )Trial & Error

7 By Evi Ong