ACE REVISION KIT
  • Notes
    • Edexcel Science >
      • Biology >
        • B1: The Nature and Variety of Living Organisms
        • B2) Structure and Functions in Living Organisms
        • B3) Reproduction and Inheritance
        • B4) Ecology and the Environment
        • B5) Use of Biological Resources
      • Chemistry >
        • C1) Principles of Chemistry
        • C2) Inorganic Chemistry
        • B3) Physical Chemistry
        • C4) Organic Chemistry
      • Physics >
        • C1) Forces and motion
        • C2) Electricity
        • C3) Waves
        • C4) Energy resources and energy transfers
        • C5) Solids, liquids and gases
        • C6) Magnetism and electromagnetism
        • C7) Radioactivity and particles
        • C8) Astrophysics
    • CIE Mathematics
    • CIE Science >
      • Biology >
        • B0: Keywords
        • B1: Characteristics of Living Organisms
        • B2: Cells
        • B3: Biological Molecules
        • B4: Enzymes
        • B5: Plant Nutrition
        • B6: Animal Nutrition
        • B7: Transport
        • * B8 Diseases and Immunity
        • B9: Gas Exchange and Respiration
        • * B10: Excretion in Humans
        • B11: Coordination and Response
        • * B12: Drugs
        • B13: Reproduction
        • B14: Inheritance
        • B15: Organisms and Their Environment
        • * B16: Biotechnology
        • B17: Human Influences on Ecosystem
        • Biological Drawing
      • Chemistry >
        • C0: Keywords
        • C1: The Particulate Nature of Matter
        • C2: Experimental Techniques
        • C3: Atoms, Elements and Compounds
        • C4: Stoichiometry
        • C5: Electricity and Chemistry
        • * C6: Chemical energetics
        • C7: Energy Changes in Chemical Reactions
        • C8: Chemical reactions
        • C9: Acid, Bases and Salts
        • C10: The Periodic Table
        • C10: Metals
        • C11: Air and Water
        • C13: Sulfur
        • C14: Carbonates
        • C15: Organic Chemistry
      • Physics >
        • P0: Keywords
        • P1: General Physics
        • P3: Thermal Physics
        • P2: Work, Energy, Power
        • P4: Properties of Waves, Light & Sound
        • P5: Electricty and Magnetism
        • P6: Electric Circuits
        • P7: Electromagnetic Effects
        • P8: Atomic Physics
    • iPSLE Science >
      • Diversity
      • Cycles
      • Systems
      • Interactions
      • Energy
      • Type of Exam Qs
  • Past Papers
  • Type of Exam Qs
  • Calculator Techniques
    • Casio fx-96SG PLUS >
      • Solve Simultaneous Equations
      • Solve Quadratic Equation
      • Calculate Statistics
  • Formulas
    • Mathematics
    • Additional Mathematics
    • Physics
  • Contact

number

Natural numbers: all rational and irrational numbers
Integer: whole number
Prime number: divisible by itself. 1 is not prime number
Rational number: can be written as fraction
Irrational number: cannot be written as fraction

HCF and LCM: solve by branching or Venn diagram
​
Sets
Picture
Ratio and Proportion
\[Direct:y=kx\]
\[Indirect:y=\frac{k}{x}\]
Percentages
\[Simple\: interest:I=\frac{PRT}{100}\]
\[Compound\: interest:A=P(1+\frac{R}{100})^{n}\]

algebra and graphs

\[Quadratic\: formula:x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\]
Sequences​
\[Linear:a+(n-1)d\]
\[Quadratic:an^{2}+bn+c\]

coordinate geometry

\[Equation: y=mx+c;\: y-y_{1}=m(x-x_{1})\]
\[Gradient: m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]
\[mid\: point=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\]
\[distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\]

geometry

Similarity
AAA
length same ratio
Congruency
RHS, SAS, ASA

Rectangle: opposite sides parallel equal, all angles 90, diagonals bisect each other
 Parallelogram: opposite sides parallel equal, opposite angles equal, diagonals bisect each other
Trapezium: one pair sides parallel
Kite: adjacent side equal, diagonals perpendicular to each other
​

Polygons
\[Exterior\: angles=\frac{360}{n}\]
\[Interior\: angles=\frac{180(n-2)}{n}\]

mensuration

Area
\[Triangle=\frac{1}{2}b\times h\]
\[Parallelogram=b\times h\]
\[Trapezium=\frac{1}{2}(a+b)\times h\]
\[Area\: Circle=\pi r^{2}\]
\[Circumference\: Circle=2\pi r\]
Volume and Surface Area
\[Cylinder:V=\pi r^{2}h;\: SA=2\pi rh+2\pi r^{2}\]
\[Cone:V=\frac{1}{3}\pi r^{2}h;\: SA=\pi rl+\pi r^{2}\]
\[Sphere:V=\frac{4}{3}\pi r^{3};\: SA=4\pi r^{2}\]

trigonometry

\[Pythagoras\: theorem:a^{2}+b^{2}=c^{2}\]
\[sinx=\frac{opposite}{hypotenuse}\]
\[cosx=\frac{adjacent}{hypotenuse}\]
\[tanx=\frac{opposite}{adjacent}\]
\[Sine\: rule:\frac{a}{sina}=\frac{b}{sinb}=\frac{c}{sinc}\]
\[Cosine\: rule:a^{2}=b^{2}+c^{2}-2bc\: cosa\]
\[Area\: of\: triangle=\frac{1}{2}absinc\]

vectors and transformation

\[Parallel\: vector:k\binom{a}{b}is\: parallel\: to\binom{a}{b}\]
\[Magnitude\: of\: vector:|x|=\sqrt{a^{2}+b^{2}}\]
Transformation
Reflection: require equation of mirror line

Rotation: require centre of rotation (draw lines of same length from a guessed point to a similar point on object and image)
angle (measure the angle)
rotation (clockwise or anticlockwise)

Translation: give the translation vector
\[\binom{x}{y}\]

​Enlargement: state scale factor K and centre of enlargement
\[Scale\: factor\: K=\frac{image}{object}\]
\[K<0:object\: image\: opposite\: side\: of\: centre\]
\[K>0:object\: image\: same\: side\: of\: centre\]

probability

\[Probability=\frac{event\: possible\: outcomes}{total\: outcomes}\]
\[OR\: Rule:P(A\: or\: B)=P(A)+P(B)\]
\[AND\: Rule:P(A\: and\: B)=P(A)\times P(B)\]
Condition probability
\[P(A|B)\: is\: A\: given\: B=\frac{P(A\cap B)}{P(B)}\]

statistics

Histogram
\[Class\: width=Interval\]
\[Frequency\: density=Height\]
\[Frequency=Class\: width\times Frequency\: density\]
\[Position\: of\: median=\frac{n+1}{2}\]
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  • Notes
    • Edexcel Science >
      • Biology >
        • B1: The Nature and Variety of Living Organisms
        • B2) Structure and Functions in Living Organisms
        • B3) Reproduction and Inheritance
        • B4) Ecology and the Environment
        • B5) Use of Biological Resources
      • Chemistry >
        • C1) Principles of Chemistry
        • C2) Inorganic Chemistry
        • B3) Physical Chemistry
        • C4) Organic Chemistry
      • Physics >
        • C1) Forces and motion
        • C2) Electricity
        • C3) Waves
        • C4) Energy resources and energy transfers
        • C5) Solids, liquids and gases
        • C6) Magnetism and electromagnetism
        • C7) Radioactivity and particles
        • C8) Astrophysics
    • CIE Mathematics
    • CIE Science >
      • Biology >
        • B0: Keywords
        • B1: Characteristics of Living Organisms
        • B2: Cells
        • B3: Biological Molecules
        • B4: Enzymes
        • B5: Plant Nutrition
        • B6: Animal Nutrition
        • B7: Transport
        • * B8 Diseases and Immunity
        • B9: Gas Exchange and Respiration
        • * B10: Excretion in Humans
        • B11: Coordination and Response
        • * B12: Drugs
        • B13: Reproduction
        • B14: Inheritance
        • B15: Organisms and Their Environment
        • * B16: Biotechnology
        • B17: Human Influences on Ecosystem
        • Biological Drawing
      • Chemistry >
        • C0: Keywords
        • C1: The Particulate Nature of Matter
        • C2: Experimental Techniques
        • C3: Atoms, Elements and Compounds
        • C4: Stoichiometry
        • C5: Electricity and Chemistry
        • * C6: Chemical energetics
        • C7: Energy Changes in Chemical Reactions
        • C8: Chemical reactions
        • C9: Acid, Bases and Salts
        • C10: The Periodic Table
        • C10: Metals
        • C11: Air and Water
        • C13: Sulfur
        • C14: Carbonates
        • C15: Organic Chemistry
      • Physics >
        • P0: Keywords
        • P1: General Physics
        • P3: Thermal Physics
        • P2: Work, Energy, Power
        • P4: Properties of Waves, Light & Sound
        • P5: Electricty and Magnetism
        • P6: Electric Circuits
        • P7: Electromagnetic Effects
        • P8: Atomic Physics
    • iPSLE Science >
      • Diversity
      • Cycles
      • Systems
      • Interactions
      • Energy
      • Type of Exam Qs
  • Past Papers
  • Type of Exam Qs
  • Calculator Techniques
    • Casio fx-96SG PLUS >
      • Solve Simultaneous Equations
      • Solve Quadratic Equation
      • Calculate Statistics
  • Formulas
    • Mathematics
    • Additional Mathematics
    • Physics
  • Contact