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
• Level 2: Simplification and expansion of algebraic expressions
• Level 3: Simplification and expansion of algebraic expressions
• Level 1: Simplification of rational algebraic expressions
• Level 2: Simplification of rational algebraic expressions
• Level 1: Integer indices
• Level 2: Integer indices
• Rational indices
• Symbolic substitution in algebraic expressions
• Solve linear equations
• Linear equations involving fractions
• Transposing formulas
• Solve inequalities in a single variable
• Level 1: The quadratic equation discriminant
• Level 2: The quadratic equation discriminant
• Level 1: Solve the quadratic equation by factorisation
• Level 2: Solve the quadratic equation by factorisation
• Level 3: Solve the quadratic equation by factorisation
• Completing the square
• Level 1: Quadratic turning point
• Level 2: Quadratic turning point
• Factorising polynomials
• Long division of polynomials
• Solving simultaneous linear equations
• Simultaneous linear equations word problems

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

Geometry

• Calculate the area of a compound shape
• Angles in a circle

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
• 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

Exponentials and logarithms

• Evaluation of logarithms
• Simplification of logarithmic expressions
• Equations involving exponents

Set theory

• Basic set operations
• Venn diagrams involving two sets

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

Discrete mathematics

• Permutations
• Challenge Permutations of digits in numbers
• Combinations
• Challenge How to get home in bekomaze
• Challenge Tic-tac-toe

Graph theory

• Properties of vertices
• Properties of graphs
• Shortest path

Probability

• Probability of simple events
• Probability of compound events
• Challenge Winning the tic-tac-toe