O Level – Elementary Mathematics

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  • #1003

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    O Level E Maths Tuition Singapore/Tuition O Level E Maths/Tutor

    Please post your O Level Elementary Mathematics questions here

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    #1238

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    Arithmetic

    1. Real numbers : {1,2,3,4,5,……..}
    2. Whole numbers : {0,1,2,3,4,……..}
    3. Integers : {……..-3,-2,-1,0,1,2,3,……..}
    4. Negeative integers : {-1,-2,-3……..}
    5. Postive integers : {1,2,3,4,5,……..}
    6. Even numbers : {2,4,6,8,……..}
    7. Odd numbers : {1,3,5,7,……..}
    8. Prime numbers : {2,3,5,7,11,13,17,……..}

    Prime numbers are natural numbers that have exactly two factors, 1 and itself

    9. Rational numbers : {1/8, 1/2, 1,3,51/2,……..}

    Rational numbers are numbers that can be written as a fraction, a/b where a and b are integers and b cannot be 0.

    10. Irrational numbers : {root 2, root 5, pie……..}

    Irrational numbers are numbers that cannot be expressed as exact fractions.

    11. Perfect squares : {1,4,9,16,25,36,……..]

    12. Real numbers are made up of rational and irrational numbers.

    NOTE
    ZERO is neither odd or even and is neither positive or negative.

    From O-Level Elementary Mathematics Singapore Tutor

    #1534

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    Mensuration

    Area of rectangle = Length x Breadth

    Area of triangle = 1/2 x base x height

    Area of parallelogram = base x height

    Area of trapezium = 1/2 x ( sum of parallel sides ) x height

    Area of rhombus = base x height

    Area of cirle = 1/2 x pie x rrdius ^ 2

    From O-Level Elementary Mathematics Singapore Tutor

    #1809

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    Coordinate Geometry

    1) A (X1, Y1) and B (X2, Y2)

    AB = Sq rt

    2) Mid point M

    3) Gradient = rise / run

    4) Equation of straight line y = mx + c

    From O-Level Elementary Mathematics Singapore Tutor

    #1950

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    Method of Proving Triangles are Congruent

    1. All the corresponding sides are equal (SSS)
    2. Two sides and the included angle are equal (SAS)
    3. Two angles and a corresponding side ar equal (ASA)
    4. Both triangles have a right angle , equal hypothenuse and another side is equal (RHS)

    From O-Level Elementary Mathematics Singapore Tutor

    #2038

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    Investigative Problems

    1+2+3+4+5………….+n = (1/2)(n)(n+1)

    General Term = first term + (n-1)common different

    Trianglular numbers
    1, 3, 6, 10,………
    1, 1+2, 1+2+3, 1+2+3+4,……….

    From O-Level Elementary Mathematics Singapore Tutor

    #2621

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    O Level E Maths Tuition Singapore/Tuition O Level E Maths/Tutor

    Please be inform 2013 E Maths schedule has been posted on the class schedule.

    From O-Level Elementary Mathematics Singapore Tutor

    #2649

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    Starting New Classes!

    S3 E Math Class starting 5 Jan 2013 – Sat 11 am to 12.30 pm
    S4 E Math Class starting 10 Jan 2013 – Thu 6 pm to 8 pm

    From O-Level Elementary Mathematics Singapore Tutor

    #2728

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    Coordinate Geometry

    Distance between two points A(x1,y1) and B(x2,y2)
    AB = Sq rt (x2-x1)^2 + (y2-y1)^2

    Midpoint M of the line joining two points A(x1,y1) and B(x2,y2)
    Midpoint M = ( (x1+x2/2 , (y1+y2)/2 )

    Gradient m of the line passing through two points A(x1,y1) and B(x2,y2)
    m = (y2-y1)/(x2-x1)

    When 3 points A B and C are collinear
    Gradient of AB = Gradient BC

    Equation of straight line
    y = mx + c
    or
    y-y1 = m(x-x1)

    From O-Level Elementary Mathematics Singapore Tutor

    #2782

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    Variations

    Direct variation
    If y is directly proportional to x^2
    y = kx^2 where k is a constant

    Inverse variation
    If y is inversely proportional to x
    y = k/x where k is a constant

    Joint variation
    if y is directly proportional to X^2 and inversely proportional to z
    y = kz/x^2

    From O-Level Elementary Mathematics Singapore Tutor

    #2832

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    Simple Interest

    Interest, I = (PRT)/100
    Where P = Principal
    R = Interest Rate per yr in %
    T = Time in yr

    From O-Level Elementary Mathematics Singapore Tutor

    #2902

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    Significant figures

    1. All non-zero digits are significant.
    2. A zero (zeroes) between non-zero digits is (are) significant
    3. In a whole number, zeros after the last non-zero digit may or may not be significant.
    4. In a decimal, zeros before the first non-zero digit are NOT significant
    5. In a decimal, zeros after the non-zero are significant

    Examples
    7006 = 7000 (1 sf)
    7006 = 7000 (2 sf)
    7006 = 7010 (3 sf)
    7436 = 7000 (1 sf)
    7436 = 7400 (2 sf)
    7436 = 7440 (3 sf)

    0.00609 = 0.006 (1 sf)
    0.00609 = 0.0061 (2 sf)
    6.009 = 6.01 (3 sf)

    From O-Level Elementary Mathematics Singapore Tutor

    #2956

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    Units

    Length
    1 m = 100 cm
    1 km = 1000 m

    Area
    1 m^2 = 100^2 cm^2
    1 km^2 = 1000^2 m^2
    1 hectare = 100^2 m^2
    1 km^2 = 100 hectares

    Volume
    1 m^3 = 100^3 cm^3
    1 litre = 1000 ml = 1000 cm^3

    Mass
    1 kg = 1000 g
    1 g = 1000 mg
    1 tonne = 1000 kg

    From O-Level Elementary Mathematics Singapore Tutor

    #2974

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    Density

    The density of a substance is the mass per unit volume of the substance

    Density = Mass/Volume

    Units are g/cm^3 or kg/m^3

    Profit and Loss

    Profit = Selling Price – Cost Price

    Loss = Cost Price – Selling Price

    Profit % = Profit/Cost Price x 100%

    Loss % = Loss/Cost Price x 100%

    From O-Level Elementary Mathematics Singapore Tutor

    #2984

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    Simple Interest

    I = (PRT)/100

    I = simple interest
    P = principal amount
    R = interest rate per annum
    T = period of time in year

    Compound Interest

    Example
    Mr Lim took a loan of $10,000 from a bank for 3 years at a rate of 8%. What is the compound interest?

    First year, 1000*8/100 = $80
    Second year, 1080*8/100 = $86.40
    Third year, 1166.4*8/100 = $93.312

    Compound interest = 80+86.40+93.312 = $259.712

    From O-Level Elementary Mathematics Singapore Tutor

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