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This question tests learner's knowledge of the inverse matrix method for a 3x3 matrix.

This question tests learner's knowledge of the inverse matrix method for a 3x3 matrix.

This question tests learner's knowledge of the inverse matrix method for a 2x2 matrix.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

A method of randomly choosing variable names - use the expression() JME function to create a variable name from a randomly chosen string.

(This question also uses a custom marking script to check that the student has simplified the expression)

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

This question tests learner's knowledge of the inverse matrix method for a 3x3 matrix.

This question tests learner's knowledge of the inverse matrix method for a 3x3 matrix.

This question tests learner's knowledge of the inverse matrix method for a 2x2 matrix.

Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

These questions are asking you to use a non-calculator method to work out a percentage amount of a value.

These questions are asking you to use a non-calculator method to work out a percentage amount of a value.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

A method of randomly choosing variable names - use the expression() JME function to create a variable name from a randomly chosen string.

(This question also uses a custom marking script to check that the student has simplified the expression)

A method of randomly choosing variable names - use the expression() JME function to create a variable name from a randomly chosen string.

(This question also uses a custom marking script to check that the student has simplified the expression)

Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

Newton-Raphson numerical method question to solve $g(x)=0$

Includes a graph of the function $g(x)$ in Advice using Jsxgraph.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

The test asseses the students ability to apply the Lagrange multiplier method to various calculus problems.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Practice dividing polynomials using the long division method.

These questions are asking you to use a non-calculator method to work out a percentage amount of a value.