BeforeTest · High school · New Zealand · Year 10

Year 10 Mathematics

Prepare for Year 10 Mathematics (New Zealand · Year 10) with an AI assistant. 11 chapters: Number, Algebra, Coordinate Geometry, Graphs, Geometry, Mensuration…. Tick what your exam covers, then study with guided help, quizzes and practice papers.

Chapters and topics

  1. Number
    • Number types, factors and multiples
    • Powers, roots and reciprocals
    • Fractions, decimals and percentages
    • Directed numbers and calculations
    • Indices and standard form
    • Estimation, rounding and bounds
    • Ratio, proportion and rates
    • Percentages and financial mathematics
    • Time, money and currency
    • Sets and Venn diagrams
  2. Algebra
    • Expressions and formulae
    • Expanding and factorising
    • Indices
    • Linear equations
    • Simultaneous equations
    • Rearranging formulae
    • Inequalities
  3. Coordinate Geometry
    • Cartesian coordinates
    • Gradients
    • Straight line equations
    • Parallel lines
  4. Graphs
    • Number sequences
    • Practical graphs
    • Tables of values
    • Linear and quadratic graphs
    • Graphical solutions
  5. Geometry
    • Geometric terms and shapes
    • Measuring and drawing
    • Similarity and congruence
    • Line and rotational symmetry
    • Angle properties
  6. Mensuration
    • Units and conversions
    • Perimeter and area
    • Circles, arcs and sectors
    • Surface area and volume
    • Compound shapes
  7. Trigonometry
    • Three-figure bearings
    • Pythagoras and trigonometric ratios
  8. Probability
    • Single-event probability
    • Probability scale and complements
    • Relative frequency and expected frequency
    • Listing all possible outcomes
    • Combined-event probabilities
  9. Statistics
    • Collecting and tabulating data
    • Interpreting and comparing data
    • Statistical diagrams
    • Averages and range
    • Correlation and lines of best fit
  10. Vectors
    • Vector notation and translations
    • Vector operations
  11. Transformations
    • Reflections and rotations
    • Translations and enlargements
    • Describing transformations

Official syllabus

The New Zealand Curriculum. The refreshed New Zealand Curriculum, Mathematics and Statistics, Year 10, as the Ministry of Education's guide for Year 10 summarises it (October 2025). The chapters are the curriculum's strands.

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