Calculate the dot products of (a) two 2D vectors and (b) two 3D vectors.

Calculate an answer involving a fractional index.

Calculate an answer involving a fractional index.

Calculate an answer involving a fractional index.

Calculate an answer involving a fractional index.

Calculate an answer involving a fractional index.

Calculate an answer involving a fractional index.

Calculate the functional value at a point.

Calculate the functional value at a point.

Calculate reactions and shear and bending moment at a point for an overhanging beam with a constant or uniformly varying distributed load.

Student calculates $\bar{y}$ for a triangle.  Must use similar triangles get element $dA$.

given Voltage and loads calculated all the line currents

Calculate the magnitude of a 3-dimensional vector $\mathbf v$, where $\mathbf v$ is written in the form $v_1 \mathbf i+v_2 \mathbf j + v_3 \mathbf k$.

Calculate the magnitude of a 3-dimensional vector, where $\mathbf v$ is written in the form $\pmatrix{v_1\\v_2\\v_3}$.

Calculate the magnitude of a 2-dimensional vector $\mathbf v$, where $\mathbf v$ is written in the form $v_1 \mathbf i+v_2 \mathbf j$.

Calculate the magnitude of a 2-dimensional vector, where $\mathbf v$ is written in the form $\pmatrix{v1\\v2}$.

Calculate the product of two 3D vectors in column notation.

Homework set.  Calculate resultant moment of one or more couples. 

Calculate the moment of a force about three points using Verignon' theorem.  All forces and points are in the same plane.

Calculate the moment of a force about three points using the definition of a Moment.  All forces and points are in the same plane.

Calculate the moment of a force.  Must calculate perpendicular distance based on simple geometry, and recognize direction.

Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.

Homework set.  Calculate Moment of Inertia for I beams, channels, angles, etc.

Written for the Western Sydney University MESH numeracy preparation workshop for the LANTITE test (Australia). Students are given the number of bagels baked, in a number of hours, and need to calculate the number baked per half-hour. There are 6 different versions of this question.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Student must calculate distance swum in km given number of laps of 50m pool, days of week and weeks in term. These variables are randomly selected.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students calculate the cost of the halogen globes given electricity cost, number of globes, number of years, replacement cost and lifespan of globes. Some of these variables are randomly selected. There are more than 10 different versions of this question.

(a) Equation given, and five coordinates. Student should select those coordinates which lie on the line. (b) Gradient and a point on line is given. Student is to calculate coordinates of other points on the line.