Nexamind Education
Cambridge Lower Secondary Mathematics

Stage 7

A complete course built unit by unit: teaching slides, standalone presentation decks for the classroom, hand-picked native-speaker video lessons, self-marking practice that gets harder as you go, maths-vocabulary work, end-of-unit tests and printable PDFs. Everything runs offline.

16 of 16 units built 4924 questions 390 teaching slides 144 verified videos 242 printable PDFs

Progress through the syllabus

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Unit 1 · Number

Integers

Positive and negative whole numbers, multiples, factors, divisibility tests, squares and cubes.

  • 1.1 Adding and subtracting integers
  • 1.2 Multiplying and dividing integers
  • 1.3 Lowest common multiples
  • 1.4 Highest common factors
  • 1.5 Tests for divisibility
  • 1.6 Square roots and cube roots
6 sections 414 questions36 slides 23 videos19 PDFs
Ready — open the unit ↗
Unit 2 · Algebra

Expressions, formulae and equations

Writing and using algebra: expressions, formulae, like terms, brackets, equations and inequalities.

  • 2.1 Constructing expressions
  • 2.2 Using expressions and formulae
  • 2.3 Collecting like terms
  • 2.4 Expanding brackets
  • 2.5 Constructing and solving equations
  • 2.6 Inequalities
6 sections 407 questions36 slides 26 videos19 PDFs
Ready — open the unit ↗
Unit 3 · Number

Place value and rounding

Multiplying and dividing by powers of 10, and rounding to a chosen degree of accuracy.

  • 3.1 Multiplying and dividing by powers of 10
  • 3.2 Rounding
2 sections 170 questions12 slides 8 videos11 PDFs
Ready — open the unit ↗
Unit 4 · Number

Decimals

Ordering decimals and the four operations with them, plus the shortcuts that make decimal calculations easy.

  • 4.1 Ordering decimals
  • 4.2 Adding and subtracting decimals
  • 4.3 Multiplying decimals
  • 4.4 Dividing decimals
  • 4.5 Making decimal calculations easier
5 sections 343 questions30 slides 11 videos17 PDFs
Ready — open the unit ↗
Unit 5 · Geometry and measure

Angles and constructions

Angles at a point, on a line and in a quadrilateral; intersecting, perpendicular and parallel lines; measuring and drawing accurately.

  • 5.1 A sum of 360°
  • 5.2 Intersecting lines
  • 5.3 Drawing lines and quadrilaterals
3 sections 385 questions18 slides 16 videos13 PDFs
Ready — open the unit ↗
Unit 6 · Statistics

Collecting data

Planning a statistical investigation, choosing what data to collect and recording it, then sampling and what a sample can and cannot tell you.

  • 6.1 Conducting an investigation
  • 6.2 Taking a sample
2 sections 246 questions12 slides 8 videos11 PDFs
Ready — open the unit ↗
Unit 7 · Number

Fractions

Equivalence and ordering, the four operations with fractions and mixed numbers, and choosing the order of steps that keeps the numbers small.

  • 7.1 Ordering fractions
  • 7.2 Adding mixed numbers
  • 7.3 Multiplying fractions
  • 7.4 Dividing fractions
  • 7.5 Making fraction calculations easier
5 sections 318 questions30 slides 6 videos17 PDFs
Ready — open the unit ↗
Unit 8 · Geometry and measure

Shapes and symmetry

Naming and classifying polygons, the parts of a circle, line and rotational symmetry, and 3D shapes with their nets.

  • 8.1 Identifying the symmetry of 2D shapes
  • 8.2 Circles and polygons
  • 8.3 Recognising congruent shapes
  • 8.4 3D shapes
4 sections 281 questions24 slides 5 videos15 PDFs
Ready — open the unit ↗
Unit 9 · Algebra

Sequences and functions

Generating sequences from a rule, finding and using the nth term, and working with function machines both forwards and backwards.

  • 9.1 Generating sequences (1)
  • 9.2 Generating sequences (2)
  • 9.3 Using the nth term
  • 9.4 Representing simple functions
3 sections 255 questions18 slides 4 videos13 PDFs
Ready — open the unit ↗
Unit 10 · Number

Percentages

Converting between fractions, decimals and percentages, finding a percentage of a quantity, and working with percentage increase and decrease.

  • 10.1 Fractions, decimals and percentages
  • 10.2 Percentages large and small
3 sections 237 questions18 slides 3 videos13 PDFs
Ready — open the unit ↗
Unit 11 · Algebra; Statistics

Graphs

Coordinates in four quadrants, plotting and reading straight-line graphs, and interpreting the graphs that describe real journeys and charges.

  • 11.1 Functions
  • 11.2 Graphs of functions
  • 11.3 Lines parallel to the axes
  • 11.4 Interpreting graphs
3 sections 226 questions18 slides 5 videos13 PDFs
Ready — open the unit ↗
Unit 12 · Number

Ratio and proportion

Writing and simplifying ratios, sharing a quantity in a ratio, and solving direct proportion problems with the unitary method.

  • 12.1 Simplifying ratios
  • 12.2 Sharing in a ratio
  • 12.3 Using direct proportion
3 sections 205 questions18 slides 4 videos13 PDFs
Ready — open the unit ↗
Unit 13 · Statistics

Probability

The 0-to-1 scale and its language, calculating probabilities of equally likely outcomes, and comparing what theory predicts with what experiments actually give.

  • 13.1 The probability scale
  • 13.2 Mutually exclusive outcomes
  • 13.3 Experimental probabilities
3 sections 199 questions18 slides 4 videos13 PDFs
Ready — open the unit ↗
Unit 14 · Statistics

Position and transformation

Coordinates and distances in four quadrants, scale drawings and maps, and the four transformations: translation, reflection, rotation and enlargement.

  • 14.1 Maps and plans
  • 14.2 The distance between two points
  • 14.3 Translating 2D shapes
  • 14.4 Reflecting shapes
  • 14.5 Rotating shapes
  • 14.6 Enlarging shapes
6 sections 433 questions36 slides 7 videos19 PDFs
Ready — open the unit ↗
Unit 15 · Geometry and measure

Shapes, area and volume

Perimeter and area of rectangles and compound shapes, units of area including hectares, the area of a triangle, and the volume and surface area of cuboids.

  • 15.1 Converting between units for area
  • 15.2 Using hectares
  • 15.3 The area of a triangle
  • 15.4 Volume of cubes and cuboids
  • 15.5 Surface area of cubes and cuboids
6 sections 451 questions36 slides 7 videos19 PDFs
Ready — open the unit ↗
Unit 16 · Statistics

Interpreting results

Mode, median, mean and range; choosing the right average; reading bar charts, line graphs and pie charts; and comparing data sets to reach a conclusion.

  • 16.1 Two-way tables
  • 16.2 Dual and compound bar charts
  • 16.3 Pie charts and waffle diagrams
  • 16.4 Infographics
  • 16.5 Representing data
  • 16.6 Using statistics
5 sections 354 questions30 slides 7 videos17 PDFs
Ready — open the unit ↗

How the course is built

Every answer is computedArithmetic answers are produced by Python at build time and algebraic answers by sympy, then an independent verifier re-derives them from the question text. A separate JavaScript computer-algebra system marks algebra in the browser, so two independent implementations must agree.
Every page is testedA headless browser loads every practice page and every teaching slide, answers all questions correctly and then incorrectly, and drives every interactive tool.
Every video is checkedEach video ID is verified against YouTube's oEmbed endpoint, so no link is broken and re-uploads are rejected in favour of the original channel.
Everything works offlineNo CDN, no framework, no build step. Open index.html in a browser. Only the video pages need a connection.