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Jump down to these broader topics:
- Algebra (immediately below)
- Geometry, shape and measures
- Number
- Probability
- Statistics
Algebra
Coordinates
- 3D coordinates
- Coordinates in the first quadrant
- Coordinates in 4 quadrants
- Finding an endpoint when given the midpoint (using grid)
- Finding the gradient between two points
- Midpoint of two coordinates on a grid
- Midpoint of two coordinates using a formula
Expanding
- Single brackets - easier
- Expanding single brackets and simplify #1
- Expanding double brackets - easier
- Expanding double brackets - harder
- Triple (three) brackets
Factorising
Functions
Quadratics
- Factorising quadratic expressions
- Solving quadratic equations
- Factorising quadratics (harder)
- Solving harder quadratic equations
- Completing the square
- Turning points
- Quadratic Formula - decimal solutions
- The discriminant
Sequences
- Fibonacci sequences
- Generating arithmetic / linear sequences
- nth term of an arithmetic / linear sequence
- Generating quadratic sequences
- nth term of a quadratic sequence
Simplifying
Solving equations
Straight line graphs
- Equation of horizontal and vertical lines
- Equation of a linear (straight line) graph
- Equation of a straight line given two coordinates
- Equation of a parallel line
- Equation of a perpendicular line
- Equation of a tangent
- Gradient
- Negative reciprocals
Substitution
Geometry, shape and measures
3d objects
Area, perimeter and surface area
- Area and perimeter of rectangles and squares
- Perimeter of rectangles with mixed metric units e.g. cm and mm
- Perimeter of compound rectangles
- Area of a triangle
- Area of a trapezium
- Approximating pi tool
- Circumference of a circle (decimal answers)
- Circumference in terms of pi
- Perimeter of a sector
- Area of a circle
- Area of a sector
- Compound area
- Surface area of a cube
- Surface area of a cuboid
- Surface area of a triangular prism
Circle Theorems
Compound measures
Constructions and Loci
Converting units
- Converting units of mass e.g. kg, grams and mg
- Converting capacity e.g. litres, cL and mL
- Converting lengths e.g. metres, cm and mm
- Miles and kilometres
- Converting metric units of area
Pythagoras' Theorem
- Perigal's dissection interactive tool
- Finding the hypotenuse
- Finding a shorter side
- Mixed questions
- Pythagoras in simplified surd form
- Pythagoras and isosceles triangles
Similarity
Trigonometry
- Find missing angles
- Finding missing sides
- Non-calculator trigonometry problems
- Cosine rule - missing sides
- Cosine rule - missing angles
- Sine rule - missing sides
- Sine rule - missing angles
- Sine rule - the ambiguous case
Number
Converting fractions, decimals and percentages - FDP
- Decimals to fractions
- Decimals to percentages
- Fractions to decimals
- Fractions to percentages
- Percentages to decimals
- Percentages to fractions
Decimals
- Converting decimals to fractions
- Ordering decimals
- Adding and subtracting decimals
- Multiplying decimals
- Dividing by a decimal
Division
Fractions
- Equivalent fractions
- Cancelling down fractions to their simplest form
- Convert improper fractions to mixed numbers
- Converting mixed numbers to improper fractions
- Multiplying fractions
- Multiplying and then simplifying
- Multiplying mixed number fractions
- Dividing fractions
- Dividing mixed fractions
- Adding fractions with the same denominator
- Adding and subtracting fractions with the same denominator
- Adding and subtracting fractions with different denominators
- Adding and subtracting mixed number fractions
- Converting percentages to fractions
- Unitary fractions of amounts
- Non-unitary fractions of amounts
Multiplication
- Multiplying by 10, 100 and 1000
- Single digit multiplication
- Multiplication tables 2 to 12
- Place value breakdown - good prep for grid method multiplication
- Multiplication using grid method - increasing levels of difficulty
- 2x1 Multiplication with grid method
- 2x2 Multiplication with grid method
- 3x2 Multiplication with grid method
- Multiplying decimals
Negatives
Order of operations
Percentages
- Calculating 10% of an amount
- Calculating 5% of an amount
- Calculating 1% of an amount
- Finding any percentage of an amount
- Increases and decreases
- Multipliers
- Percentage change
- Simple interest
- Compound interest increases
- Compound depreciation
- Reverse percentage calculations
- Converting percentages to fractions
Place value
Powers, roots, indices and surds
- Positive integer powers
- Positive fractional powers
- Negative integer powers
- Square roots and fractional powers
- Evaluating fractional and negative powers
- Index laws of multiplication
- Index laws of division
- Simplifying surds
- Multiplying surds
- Adding and subtracting surds
- Expanding single brackets with surds
- Expanding double brackets with surds
- Rationalising the denominator (easier)
- Rationalising the denominator (medium)
- Rationalising the denominator (harder)
- Squares and square roots
- Cubes and cube roots
Proportion
- Currency conversion
- Currency conversion graphs
- Direct proportion
- Direct proportion to the square
- Direct proportion to the square root
- Direct proportion to the cube
- Inverse proportion
- Inverse proportion to the square
- Inverse proportion to the square root
- Inverse proportion to the cube
- Recipe problems
- Unitary method
Ratio
Rounding and accuracy
- Rounding to the nearest integer (whole number)
- Rounding to the nearest hundred
- Rounding to the nearest 1000
- Rounding to one decimal place
- Rounding to two decimal places
- Mixed rounding questions
- Truncation
- Estimation
Significant figures
- Rounding larger numbers to one significant figure
- Rounding larger numbers to two significant figures
- Rounding larger numbers to three significant figures
- Rounding small numbers to one significant figure
- Rounding small numbers to two significant figures
Standard form
- Converting larger numbers from standard form
- Converting smaller numbers from standard form
- Converting large numbers into standard form
- Converting small numbers into standard form
- Multiplying in standard form
- Dividing in standard form
- Adding in standard form
- Subtracting in standard form
Time
Probability
- Frequency trees
- Probability as fractions, decimals and percentages
- Visualisation tool - balls in a box
Statistics
- Interpreting pictograms
- Composite bar charts
- Calculating angles on pie charts
- Capture recapture
- Calculating the mean
- Finding a missing value in a dataset using the mean
- Finding the median
- Finding the mode
- Finding the range
- Analysing frequency tables (mean, median , mode and range)
- Analysing grouped frequency tables (mean, median and mode)
- Interquartile range
- Interpreting Stem and Leaf diagrams
- Stratified sampling
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