1. Topic Past Papers –Linear Equations
Advanced Higher
Topic Past Papers –Linear Equations
Unit 1 Outcome 5
2001
A1. Use Gaussian elimination to solve the following system of equations.
2002
5 marks
A1. Use Gaussian elimination to solve the following system of equations.
5 marks
2003
A6.
Use elementary row operations to reduce the following system of equations to upper
triangular form
Hence express x, y and z in terms of the parameter a.
Explain what happens when a = 3.
2 marks
2 marks
2 marks
2005 6.
Use Gaussian elimination to solve the system of equations below when λ ≠ 2:
Explain what happens when λ = 2.
4 marks
2 marks
2006 9.
Use Gaussian elimination to obtain solutions of the equations
5 marks
2009
16.
(a) Use Gaussian elimination to solve the following system of equations
5 marks
2010
Use Gaussian elimination to show that the set of equations
has a unique solution when
Explain what happens when a = 2.5.
5 marks
1 mark
Lanark Grammar Mathematics Department
Mrs Leck

2. Topic Past Papers –Linear Equations
Advanced Higher
Topic Past Papers –Linear Equations
Unit 1 Outcome 5
2012
5 marks
1 mark
2 marks
1 mark
2014
6 marks
1 mark
Lanark Grammar Mathematics Department
Mrs Leck

3. Topic Past Papers – Linear Equations
Advanced Higher
Topic Past Papers – Linear Equations
Unit 1 Outcome 5
2001
A1. x = -26, y = 13, z = 23
2002
A1. x = 2, y = -3, z = 1.
2003
A6 When a = 3, we get z = 1 and ¼ from the second equation but z = 1 from the third, ie inconsistent.
2005
2006
2009
2010
When a = 2.5 there are no solutions.
2012
2014
Lanark Grammar Mathematics Department
Mrs Leck