Maths Resources GCSE Worksheets

# Intersecting lines worksheet

• Section 1 of the intersecting lines free worksheet contains 36 skills-based intersecting lines questions, in 3 groups to support differentiation
• Section 2 of the intersecting lines printable worksheet contains 5 applied intersecting lines questions with a mix of word problems and deeper problem solving questions
• Section 3 contains 4 foundation and higher level GCSE exam style intersecting lines questions
• Answer keys and a mark scheme for all intersecting lines questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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### Intersecting lines at a glance

Intersecting lines are pairs of lines which intersect. If two lines in a plane are parallel lines, they will never intersect. All other pairs of lines will intersect. Perpendicular lines are lines which intersect at right angles

We can find the point of intersection of two given lines graphically, by plotting both lines on the same set of axes. We can also find the point of intersection of two lines algebraically, by solving their equations simultaneously.

To determine what types of lines we have (intersecting, parallel, or perpendicular), we can examine the gradients of the lines. If the gradients are equal, the lines are parallel. If the product of the gradients is -1, they intersect and are perpendicular. All other combinations of gradients will give intersecting lines.

Looking forward, students can then progress to additional straight line graphs worksheets or more algebra worksheets, for example a simultaneous equations worksheet or straight line graphs worksheet.

For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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