Practice using the log rules to add and subtract logarithms

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A custom marking algorithm on the spreadsheet part changes it to interpret quantities in cells, so they can be compared to the expected answer.

In real use, you'd probably want more sophisticated logic, to give better feedback or to allow partial marks for different units, like the "quantity with units" part type does.

Practice using the log rules to add and subtract logarithms

Solve equations involving logs and exponential functions, by using inverse operations.

Given the position vectors of three 2-dimensional points $A$, $B$ and $C$, find the coordinates of a fourth point $D$ such that $ABCD$ forms a parallelogram. 

Rewriting expressions of the form $n\log(a)\pm m\log(b)$ as a single logarithm.

The student is shown a circuit diagram with three logic gates. It's always in the form (a OP b) OP (b OP c).

They have to fill in a truth table for the circuit. There is a step which expands the truth table, adding a column for each of the first two gates.

Rewriting $\log_{10}(x)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$ and $x$ are given.

Homework set.  Find components of vectors in various situations.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

Calculating the amount of money in a savings account after a given amount of time, and calculating how long it will take for the amount of savings to exceed a given value. 

Use the parallelogram rule to solve a force triangle.

Find the sum of two 2-dimensional vectors, graphically and exactly using the parallelogram rule.

Given the specifications of two vectors, draw the parallelogram representing their sum, then estimate length of the diagonal. 

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Biosciences Skills Audit - covering the following programmes:

Biosciences

Biomedical Science

Biochemistry

Zoology

AMRC Skills Audit - covering the following programmes:

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Student must convert the time shown on the analog clock to 24 hour time. One of six analog clock images is randomly selected and displayed.

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.

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The full list of questions to choose from to build a bespoke Skills Audit for Maths and Stats

Skills Audit for Maths and Stats for MAS140 Chemical and Biological Engineering.

Skills Audit for Maths and Stats for MUS642 Students.

Skills Audit for Maths and Stats for MGT6078 Students.

Skills Audit for Maths and Stats for MGTT167 program code Students.

Calculating the derivative of a function of the form $a \ln(bx)$ using a table of derivatives.

Solving an equation of the form $a^x=b$ using logarithms to find $x$.

Solving $a\log(x)+\log(b)=\log(c)$ for $x$, where $a$, $b$ and $c$ are positive integers.