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Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

• Simultaneous Shopping Find the cost of the individual items in shopping baskets (introduction to simultaneous equations).
• Superfluous Find a strategy to figure out the values of the letters used in these calculations.
• Simultaneous Equations Video Learn to solve simultaneous equations from the very basic to those containing quadratics. This video is to help you do the online, self-marking exercise.
• Simultaneous Equations A self-marking, multi-level set of exercises on solving pairs of simultaneous equations.
• Simultaneous Solutions Arrange the given pairs of simultaneous equations in groups to show whether they have no solution, one solution or infinite solutions.
• Unbeknownst Some picture grid puzzles which can be solved by using simultaneous equations.

Here are some exam-style questions on this statement:

• "Solve the simultaneous equations" ... more
• "Solve the simultaneous equations:" ... more
• "A rectangular sheet of paper can be cut into two identical rectangular pieces in two different ways, either by cutting along line A or by cutting along line B." ... more
• "Two numbers are chosen so that the sum of their squares is 25." ... more
• "\(y = a \times b^{x – 2}\) where \(a\) and \(b\) are numbers." ... more
• "The prices of two watches are in the ratio \(a:b\)." ... more

See all these questions

Here are some Advanced Starters on this statement:

• Fruit Snacks
  Work out the numbers of each type of fruit bought for snacks more
• Two real numbers
  The sum of the reciprocals of two real numbers is -1, and the sum of their cubes is 4. What are they? more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

• Simultaneous Equations This topic covers simultaneous equations with two different variables. The starters pose real world problems which can be solved using the techniques taught at school or by other intuitive methods. Though there are many formal strategies for solving simultaneous equations the skill of forming the equations from real life situations is a very important stage in working towards a solution. Algebraic methods are the most efficient for solving basic simultaneous equations but graphical methods, probably using a graphic display calculator or computer software package, may be more suitable for less standard sets of simultaneous equations.