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Year 10 skills
Numbers
Take the Numbers test
Identify prime numbers
Identify factors
Prime factorisation
Identify rational and irrational numbers
Simplification of square and cubic roots
Approximation of the square root
Approximation of the cube root
Order of operations
Evaluate expressions involving exponents
Finding values based on ratios
Evaluate percentages
Challenge
Count occurrence of digits
Challenge
Numeric sequences from geometric shapes
Challenge
Prime factor decomposition
Challenge
Special numbers
Challenge
Level 1:
Find integer solutions to linear equations
Challenge
Level 2:
Find integer solutions to linear equations
Algebra
Take the Algebra test
Level 1:
Simplification and expansion of algebraic expressions
Cheat sheet on the topic
Level 2:
Simplification and expansion of algebraic expressions
Cheat sheet on the topic
Level 3:
Simplification and expansion of algebraic expressions
Cheat sheet on the topic
Level 1:
Simplification of rational algebraic expressions
Cheat sheet on the topic
Level 2:
Simplification of rational algebraic expressions
Cheat sheet on the topic
Level 1:
Addition and subtraction of rational expressions
Cheat sheet on the topic
Level 2:
Addition and subtraction of rational expressions
Cheat sheet on the topic
Level 3:
Addition and subtraction of rational expressions
Cheat sheet on the topic
Level 1:
Integer indices
Cheat sheet on the topic
Level 2:
Integer indices
Cheat sheet on the topic
Rational indices
Cheat sheet on the topic
Symbolic substitution in algebraic expressions
Cheat sheet on the topic
Solve linear equations
Cheat sheet on the topic
Linear equations involving fractions
Cheat sheet on the topic
Transposing formulas
Cheat sheet on the topic
Solve inequalities in a single variable
Cheat sheet on the topic
Level 1:
The quadratic equation discriminant
Cheat sheet on the topic
Historical note
Level 2:
The quadratic equation discriminant
Cheat sheet on the topic
Historical note
Level 1:
Solve the quadratic equation by factorisation
Cheat sheet on the topic
Historical note
Level 2:
Solve the quadratic equation by factorisation
Cheat sheet on the topic
Historical note
Level 3:
Solve the quadratic equation by factorisation
Cheat sheet on the topic
Historical note
Completing the square
Cheat sheet on the topic
Level 1:
Quadratic turning point
Cheat sheet on the topic
Level 2:
Quadratic turning point
Cheat sheet on the topic
Factorising polynomials
Cheat sheet on the topic
Long division of polynomials
Cheat sheet on the topic
Solving simultaneous linear equations
Cheat sheet on the topic
Simultaneous linear equations word problems
Cheat sheet on the topic
Coordinate geometry
Linear intercepts
Level 1:
Distance between points on a line and the midpoint
Level 2:
Distance between points on a line and the midpoint
The gradient of a line
Coordinates of points on a line
The parabola
Sketch the parabola
Level 1:
System of linear inequalities in two variables
Level 2:
System of linear inequalities in two variables
Intersection of two graphs
Level 1:
Coordinate of a point on a line given the length
Level 2:
Coordinate of a point on a line given the length
Coordinates of a planar shape from a line
Functions and relations
Definition of functions
Function domain and range
Intersection of two graphs
Trigonometry
Conversions between radians and degrees
Calculations involving bearings
Evaluate trigonometric functions
Sketch trigonometric functions
Trigonometric functions and triangles
Trigonometric relations involving circles
Trigonometric relations involving complex geometric shapes
Exponentials and logarithms
Evaluation of logarithms
Simplification of logarithmic expressions
Equations involving exponents
Geometry
Calculate the area of a compound shape
Angles in a circle
Statistics
Summary and spread of data
Understanding bar charts
Understanding pie charts
Understanding scatter plots
Understanding stem-and-leaf plots
Stem-and-leaf plots of decimal data
Skewness of the stem-and-leaf plot
Understanding frequency tables
Understanding histograms
Level 1:
Understanding box plots
Level 2:
Understanding box plots
Probability
Probability of simple events
Probability of compound events
Challenge
Winning the tic-tac-toe
Discrete mathematics
Permutations
Challenge
Permutations of digits in numbers
Combinations
Challenge
How to get home in bekomaze
Challenge
Tic-tac-toe
Set theory
Basic set operations
Venn diagrams involving two sets
Graph theory
Properties of vertices
Properties of graphs
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