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rearranging the Michelas-Menten equation to make the substrate the subject.

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Another transposition question, which requires (basic) factorisation.

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Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

Practice finding parallel and perpendicular lines to a given line.

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Transposition of formulae. Changing the subject of an equation. 

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Multiplication of $2 \times 2$ matrices.

Summation Notation

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Fourth part of the Core Foundation Maths pre-arrival self-assessment material:

Question 1:  Algebra IV: Properties of indices (1) - Multiplication/Division                                 

Question 2: Algebra IV: Properties of indices (2) - Fractions                                 

Question 3: Algebra IV - Properties of Indices (4) - Further

Question 4: Numbers V: standard index form (conversions and operations)                                 

Simple Percentages

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Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

It is estimated that 30% of all CIT students cycle to college. If a random sample of eight CIT students is chosen, calculate the probability that...

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

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Units, conversions, decimal places and significant figures

Transposition of formulae. Changing the subject of an equation. 

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Given random set of data (between 13 and 23 numbers all less than 100), find their stem-and-leaf plot.

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Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

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Units, conversions, decimal places and significant figures

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

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Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

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An exam using an experimental theme to use KaTeX to render maths instead of MathJax

25 questions on solving quadratic equations

25 questions on solving quadratic equations

Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$. 

Make sure that your choice is a solution by substituting back into the equation.

Solve for $x$:  $\log_{a}(x+b)- \log_{a}(x+c)=d$

25 questions on solving quadratic equations

This quiz will assess your ability to differentiate trigonometric & logarithmic functions together with implicit differentiation.

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Given $6$ vectors in $\mathbb{R^4}$ and given that they span $\mathbb{R^4}$ find a  basis.