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Mammoth Maths
Detailed IndexHere at Mammoth Memory, we've got neat ways of helping you remember what's important in maths. On these revision pages, a picture really is worth a thousand words. So if you're vague about your variables or deficient in your coefficients, we've got the winning formula . . .
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Maths basics
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Multiplication tables
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Positive and negative signs
- Number bonds
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Common core
- Addition
- Common core addition - Number bonds
- Common core addition - Line addition
- Subtraction traditional method
- Common core subtraction - counting up method
- Common core subtraction - Number line subtraction
- Division
- Common core division
- Multiplication - Traditional method
- Common core multiplication
- BIDMAS
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Maths vocabulary and expressions
Numbers
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Fractions
- Fractions
- Improper fraction
- Vulgar fraction
- Mixed number
- Simplifying fractions
- Convert between a mixed number and an improper fraction
- Convert between an improper fraction and a mixed number
- Ordering fractions by size - Method 1
- Ordering fractions by size - Method 2
- Ordering fractions by size - Method 3
- Fractions of an amount
- Percentage to decimals
- Decimals to percentages
- Notation for recurring decimals
- Fraction to decimal
- Decimal to fractions
- Decimal to fraction - Non repeating
- Decimal to fraction - Repeating
- Simple interest
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Compound Interest
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Bounds
- Upper and lower bound
- Upper and lower boundary and logic
- Upper and lower boundary addition
- Upper and lower boundary subtraction
- Upper and lower boundary multiplication
- Upper and lower boundary division
- Upper and lower boundary mixed
- Summary of all upper and lower boundary calculations
- Upper and lower boundary difficult examples
- Significant figures
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Standard form
- Standard (index) form
- Why use standard (index) form for large numbers?
- Why use standard (index) form for small numbers?
- Worked examples
- Exam style questions
- Standard form calculations
- Standard form and moving decimal places
- Standard form addition
- Standard form subtraction
- Standard form multiply
- Standard form divide
- Standard form difficult examples
- Number bases and binary
Pythagoras and trigonometry
- Hypotenuse
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Intercept and midpoint theorem
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Trigonometry
- Trigonometry - sin cos tan
- Practical examples of trigonometry
- Opposites and the world of sine
- Sine examples
- Adjacent and the world of cosine
- Cosine examples
- Opposites divided by adjacent and the world of tan
- The sine curve and cosine curve
- How to plot the sine curve
- How to plot the cosine curve
- The sine curve overlaid on the cosine curve
- Pythagoras' theorem
Algebra
- Variable
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Term
- Coefficient
- Rearranging formulas
- Multiplying brackets
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The quadratic equation, factors and parabolas
(read 1st) -
The quadratic formula solver
(read 3rd) -
Inequalities
- Inequalities
- Less than or greater than 1st method
- Less than or greater than 2nd method
- Less than or greater than 3rd method
- Less than or greater than equations
- Inequalities and equal numbers
- Solving two-part inequalities
- Three-part inequalities
- Dividing or multiplying inequalities
- Dividing or multiplying by negatives
- Dividing or multiplying three-part inequalities by negatives
- Inequalities and integers
- Inequalities where x is on the right
- Inequalities and dividing by a variable
- Summary inequalities
- Inequalities and number lines
- Three-part inequalities on a number line
- Inequalities and graphs
- Examples of inequalities and graphs
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Sequences
- The `nth` term of a sequence
- Sequence
- Sequence and recognising patterns simple nth term
- Sequence and recognising patterns
- Sequence and patterns order of easiness
- Sequence pattern 1
- Sequence pattern 2
- Sequence pattern 3
- Next few terms in a sequence
- Formula for the nth term of a sequence - Consistent difference
- Formula for the nth term of a sequence - Consistent difference between differences
- Using the quadratic formula to find nth term of a sequence
- Quadratic formula to find nth term of a sequence method 2
- Quadratic formula to find nth term of a sequence method 3
- Formula for nth term of a sequence - multiplication
- Triangles and the nth term
- Is a number (term) in a sequence?
- Fibonacci sequence
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Ratios
- Two part ratios
- Ratios and maps
- Three part ratios
- Proportion in maths (not the same as English language definition)
- Ratio vs proportion
- Direct proportion verses inverse proportion
- Proportional or directly proportional
- Inverse proportion
- 2 part ratio and dividing up amounts
- Difficult proportional examples
- 3 part ratio and dividing up amounts
- 2 part ratio and dealing with decimals
- 3 part ratio and dealing with decimals
- 2 part ratio and dealing with fractions
- 3 part ratio and dealing with fractions
- Ratios in the form 1:n or n:1
- 2 part ratios - simplifying integers
- 3 part ratios - simplifying integers
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Powers, roots and indices
- Powers and roots
- Exponents
- Index laws
- Remember index laws
- Indices law 1
- Indices law 2
- Indices law 3
- Roots
- Further roots
- Further indices - Adding
- Indices law 4
- Indices law 5
- Indices law 6
- Indices law 7
- Indices law 8
- Indices law 9
- Indices and double negatives
- Indices and decimal places
- Negative indices on the bottom
- Indices and calculators
- Summary indices laws to remember
- Indices examples
Graphs
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Graphs
- Finding the gradient
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Formula for a straight line
- Formula for a straight line
- Remember the formula for a straight line
- The slope or gradient of a line
- Remember the formula for the gradient
- Does my line have a +VE or -VE gradient
- Remembering positive or negative gradients
- Further explanation
- When you're given coordinates
- Horizontal and vertical gradients
- Another way to remember the horizontal and vertical gradients
- Always make y the subject of the formula
- What does c represent
- Equation of a vertical line
- Equation of a horizontal line
- Parallel lines
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Perpendicular lines
- Difficult straight line graph examples
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Other graphs, charts and diagrams
Geometry
- Symmetric
- Asymmetrical
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Congruent
- Similar
- Vertex
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Angles of polygons
- Interior angles of polygons
- The total interior angles of a triangle = 180
- Total internal angle of any polygon can be worked out from triangles
- The total interior angles of a square (or rectangle) = 360
- Why must a square add up to 360 (in pictures)
- The total interior angles of a pentagon = 540
- Why must a pentagon add up to 540 (in pictures)
- The total interior angles of a hexagon = 720
- Why must a hexagon add up to 720 (in pictures)
- The total interior angles of a heptagon = 900
- Why must a heptagon add up to 900 (in pictures)
- The total interior angles of an octagon = 1080
- Why must an octagon add up to 1080 (in pictures)
- Sum of all internal angles of a polygon
- Internal angle of a regular polygon
- Exterior angles of polygons
- Total exterior angle of a polygon
- External angles of a regular polygon
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Circumference, area and volume
- The circumference of a circle experiment
- Remember the circumference and area of a circle formula
- Alternative to remember area and circumference of a circle
- Surface areas formula, cubes, cylinders, pyramids, cones and spheres
- Surface area cylinder
- Surface area pyramid
- Surface area of a cone
- Surface area of a sphere
- Volume of cubes
- Volume of cylinders
- Two dimensions
- Three dimensions
- Volume of cones
- Volume of square based pyramids
- Volume of rectangular based pyramids
- Volume of triangular based pyramids
- Volume of a sphere
- Volume examples
- Frustums
Statistics and probability
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Listed outcomes and expected frequency
Logarithms
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Logarithms and multiplying
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Log and anti log tables
- Logarithms - divide large number traditionally
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Reference tables