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Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Two people walk away from a central flagpole, in different directions. The multiple choice question asks for the angle between them. There are seven potential scenarios.

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Find an interior angle and length of a diagonal of a random parallelogram.

Use the parallel axis theorem to find the area moment of inertia of a triangle and a rectangle about various axes.

Find moment of inertia wrt the x- and y- axes for a shape made up of two rectangles.

Find moment of inertia of a composite shape consisting of a rectangle and two triangles with respect to the x-axis. Shapes rest on the x-axis so the parallel axis theorem is not required.

Find centroidal moments of inertia and radius of gyration for a beam composed of  two angle sections forming a box beam.

Use a table of properties to find the Area Moment of inertia for simple shapes: rectangle, triangle, circle, semicircle, and quarter circle.

 The parallel axis theorem is not required for any of these shapes.  One situation requires subtracting a triangle from a rectangle however.

Distinguish between centroidal and non-centroidal moments of inertia.

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Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.

resultant force

This question uses the GeoGebra extension so it can ask the student to create an equilateral triangle. It doesn't matter how they do it, as long as they end up with a polygon with three vertices whose sides are all the same length.

This question uses the GeoGebra extension so it can ask the student to create an equilateral triangle. It doesn't matter how they do it, as long as they end up with a polygon with three vertices whose sides are all the same length.

This question uses the GeoGebra extension so it can ask the student to create an equilateral triangle. It doesn't matter how they do it, as long as they end up with a polygon with three vertices whose sides are all the same length.

This question uses the GeoGebra extension so it can ask the student to create an equilateral triangle. It doesn't matter how they do it, as long as they end up with a polygon with three vertices whose sides are all the same length.

This question uses the GeoGebra extension so it can ask the student to create an equilateral triangle. It doesn't matter how they do it, as long as they end up with a polygon with three vertices whose sides are all the same length.

This is a set of practice questions for the non-right-angle trig component of the Australian year 12 Mathematics Standard 2 course.

It asks questions about

• finding sides and angles of right angle triangles,
• finding areas of triangles,
• using the sine rule,
• using the cos rule,
• bearings, and
• radial surveys.

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An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

This demonstrates how to construct a JSXGraph diagram in JME code.

The construction shows a triangle and its orthocentre, circumcentre and centroid. They are always collinear. You can move the vertices of the triangle.

Given vectors  $\boldsymbol{A,\;B}$, find the angle between them.

The students are given the magnitude and angle (in degrees) of a vector. They have to find its alpha and beta components.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.