11+ Mathematics · Geometry & Data

11+ Coordinates & Math Graphs

Master 4-quadrant coordinates, missing shape vertices, translations, reflections, and distance-time line graphs for GL Assessment and CEM 11+ exams.

Curriculum Scope

Coordinates, Transformations & Graphs

4-quadrant Cartesian grid · Missing 4th vertex · Vectors & reflections · Distance-time travel graphs · Line conversions

4 Modules 1 Full Exam 40+ Questions

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📍 Coordinates & Math Graphs Explorer11+ INTERACTIVE LAB

Drag points and bars directly to explore coordinates, line graphs, and live 11+ exam questions.

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Favourite Pets

Read, compare and find totals.

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Temperature over a Week

Ideal for interpreting trends, reading exact values and comparing how much the temperature rose or fell.

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Read the line

How Students Travel to School

Turn slices into percentages and angles.

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% and angles

Plotting a Shape

Plot points and read exact coordinates.

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11+ Coordinates & Line Graph Rules

Essential Cartesian grid techniques, translation rules, reflection properties, and top traps for GL Assessment and CEM 11+ exams.

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Core Coordinate & Graph Rules

1. Golden Reading Rule: “Along the corridor, then up the stairs” → (x, y). Always read the horizontal x-axis first, followed by the vertical y-axis.

2. Four Quadrants Map:
• Quadrant 1: (+, +)
• Quadrant 2: (−, +)
• Quadrant 3: (−, −)
• Quadrant 4: (+, −)

3. Midpoint Formula: The midpoint of (x₁, y₁) and (x₂, y₂) is always: [ (x₁ + x₂) ÷ 2 , (y₁ + y₂) ÷ 2 ].

4. Translations: A vector shift [a, b] adds a to x and b to y. Shape size and orientation are strictly preserved.

Top 3 11+ Graph Traps

TRAP 1

Reversing Axes (y, x): Never read vertical before horizontal! Always double-check by tracing your finger along the x-axis from 0 first.

TRAP 2

Distance-Time Flat Line: A horizontal flat section does NOT mean going downhill or traveling slowly! It means distance is unchanged — the traveler is completely stopped.

TRAP 3

Reflection Axis Confusion: Reflecting across the x-axis flips the y-coordinate ((x, −y)). Reflecting across the y-axis flips the x-coordinate ((−x, y)).

Coordinates & Math Graphs Practice Worksheet

Download printable questions with comprehensive answer keys · 4-page PDF

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Comprehensive Assessment