Playgrounds
free playGraphing Playground
Type equations and watch their graphs appear. Letters become sliders you can animate, points plot from (2, 3), and any graph opens a table of values.
- Equations
- Sliders
- Tables of values
Geometry Playground
Construct with points, lines, circles, polygons and angles; bisect, draw with a compass, and reflect, rotate, translate or enlarge shapes, with every length and angle listed live.
- Constructions
- Transformations
- Measurements
Manipulatives Playground
Number and algebra discs with zero pairs, a balance for any linear equation you type, number lines with jumps, bar models and the multiplication frame.
- Discs
- Balance
- Number line
- Bar model
Diagrams for teachers
sign in to openDiagram Studio
Make exam-style maths diagrams for your own papers: pick a figure from over 170 templates (triangles, circles, graphs, Venn diagrams, tables, 3-D solids and more), change its numbers, and download it as an SVG or PNG at its true printed size. Or draw your own on a millimetre sheet.
- Over 170 figures
- True print size
- SVG & PNG
- Draw your own
Cambridge Math Diagrams
Every diagram from the Cambridge IGCSE Maths (0580), IGCSE Additional Maths (0606) and International O Level Additional Maths (4037) papers: 1,078 figures cut out as clean pictures and sorted by topic. Search them, view them large and download them for your own worksheets.
- 0580 · 0606 · 4037
- Sort by topic
- Search & download
- Premium
Secondary 1
4 live · 5 coming soonIntegers, Rational Numbers and Real Numbers
Add, subtract and multiply integers with number discs — zero pairs, flipping for the negative of a number — and check sums with jumps on a number line.
- Number discs
- Zero pairs
- Number line
Basic Algebra and Algebraic Manipulation
Simplify like terms, expand 2(x + y) and −2(x + y), and factorise with algebra discs — groups, flips and zero pairs, the textbook's way.
- Algebra discs
- Expansion
- Factorisation
Linear Equations
Sort expressions from equations, then solve linear equations on a balance whose every move is written in algebra beside it, and link a bar model to the algebra.
- Balance model
- Solving equations
- Bar model
Linear Functions and Graphs
Slide m and c in y = mx + c, compare lines, find gradients from rise and run, and draw y = 2x + 1 on graph paper.
- y = mx + c
- Gradient
- y-intercept
- Plotting points
Number Patterns
Grow a dot pattern term by term, then write its nth term and check it.
- Patterns
- nth term
Ratio and Rate
Share a quantity in a given ratio with a bar model, then work out rates and average speeds and convert km/h to m/s.
- Ratio
- Rate
- Average speed
Basic Geometry
Angles at a point, on a straight line and vertically opposite; drag a transversal across parallel lines.
- Angles
- Parallel lines
Polygons and Geometrical Constructions
Drag a polygon's vertices to test its interior and exterior angle sums, then construct triangles and quadrilaterals from given data.
- Angle sums
- Constructions
Perimeter and Area of Plane Figures
Cut a parallelogram and rearrange it into a rectangle, then find the areas of trapeziums and composite figures.
- Area
- Parallelogram
- Trapezium
Secondary 2
9 coming soonLinear Graphs and Simultaneous Linear Equations
Graph ax + by = c, and solve a pair of equations where their lines meet.
- ax + by = c
- Graphical method
Linear Inequalities
Show the solutions of an inequality on a number line.
- Number line
- Inequalities
Quadratic Equations and Graphs
Slide a, b and c in y = ax² + bx + c: maximum or minimum point, line of symmetry, and the sign of a.
- Quadratic graphs
- Symmetry
- Turning point
Direct and Inverse Proportions
Compare the graphs of y = kx and y = k/x as k changes.
- Direct
- Inverse
- Graphs
Congruence and Similarity
Match the corresponding sides and angles of congruent and similar figures, and enlarge or reduce a shape by a scale factor.
- Congruence
- Similarity
- Scale factor
Pythagoras' Theorem
Drag the vertex of a right-angled triangle and watch the squares on its sides.
- Right-angled triangles
- Squares on the sides
Trigonometric Ratios
Drag the angle of a right-angled triangle and read sin, cos and tan as it changes.
- sin
- cos
- tan
Statistical Diagrams
Build dot diagrams, histograms and stem-and-leaf diagrams from a set of data.
- Dot diagram
- Histogram
- Stem-and-leaf
Averages of Statistical Data
Move the data values and watch the mean, median and mode respond.
- Mean
- Median
- Mode