46 results authored by Adrian Jannetta - search across all users.

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• Question

This uses an embedded Geogebra graph of a polar function with random coefficients set by NUMBAS.

• Question

This uses an embedded Geogebra graph of a polar function with random coefficients set by NUMBAS.

• Question

No description given

• Question

This uses an embedded Geogebra graph of a line $y=mx+c$ with random coefficients set by NUMBAS.

• Question

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

• Question

When are vectors $\boldsymbol{v,\;w}$ orthogonal?

• Question

Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

• Question

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

• Question

Tests the ability to find the gradient and intercept of a straight line graph.

• Exam (6 questions)

No description given

• Question

Shows how to retrieve the student's answer to another part from a custom marking script.

• Exam (18 questions)

A practice test to get used to the NUMBAS environment.

• Question

This uses an embedded Geogebra SHM graph with coefficients set by NUMBAS.

• Question

This uses an embedded Geogebra SHM graph with coefficients set by NUMBAS.

• Question

Adding and subtracting two 3x3 matrices.

• Question

Differentiate $f(x) = x^m(a x+b)^n$.

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Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$.

• Question

In parts (a) and (b) rearrange linear inequalities to make $x$ the subject.

In the parts (c) and (d) correctly give the direction of the inequality sign after rearranging an inequality.

• Question

Given a graph of some function f, the student is asked for values of $f$ and its inverse. Function is cubic and invertible.

• Question

Given a graph of some function f, the student is asked for values of $f$ and its inverse. Function is cubic and invertible.

• Question

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

• Question

No description given

• Question

Shows how to retrieve the student's answer to another part from a custom marking script.

• Question

Differentiate $\displaystyle (ax^m+bx^2+c)^{n}$.

• Question

No description given

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No description given

• Question

Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.

• Question

This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.

• Question

This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.

• Question

This uses an embedded Geogebra graph of amodulus function with random coefficients set by NUMBAS.