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
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
- Simplification of algebraic expressions involving integer indices
- Simplification of algebraic expressions involving 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
- Level 2: Solve the quadratic equation
- Level 3: Solve the quadratic equation
- Level 4: Solve the quadratic equation
- Factorising polynomials
- Long division of polynomials
- Solving simultaneous linear equations
- Simultaneous linear equations word problems
Functions and relations
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
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
- 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
Set theory
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
Probability