Questions asking for the factoring of simple case (a=1)

These first need to be changed to standard form.

Create a truth table for a logical expression of the form $((a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d))\operatorname{op4}e $ where each of $a, \;b,\;c,\;d,\;e$ can be one the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3},\;\operatorname{op4}$ one of $\lor,\;\land,\;\to$.

For example: $((q \lor \neg p) \to (p \land \neg q)) \lor \neg q$

Substitute a given value into a formula, and substitute an expression in terms of $x$ into a formula.

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

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Polar form of a complex number.

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

Determinant of 2x2 and notation

Students are asked to form the calculation before giving answer.

given equation of locus in form |z-a|=bfind centre and radius. multiple choice question

given random circle on graph with centre in 2nd or 3rd quadrant. find loci in complex form

Just what the title says, I guess.

Just what the title says, I guess.

Just what the title says, I guess.

Just what the title says, I guess. I couldn't find a 0^0 that didn't converge to 1 except things like x^(1/ln(x)) as x->0, but they just need the e^ln() transformation, not L'hopital's rule!

Convert a variety of numbers from decimal to standard index form.

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

This is a formative assessment to see how well you have understood the content from the first 3 weeks of the course. It will not count towards your final mark. If you get less than 40%, then you should take immediate steps to improve your knowledge, such as attending Study Clinics.

Solving quadratic equations using a formula,

Simple multiplication of complex conjugates. Complex numbers are of the form $a+bi$ where $a$ and $b$ are randomised between 1 and 9 inclusive. 

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

Entering the correct roots in any order is marked as correct. However, entering one correct and the other incorrect gives feedback stating that both are incorrect.

No description given

Choose which of 5 matrices are in a) row echelon form but not reduced b) reduced row echelon form c) neither.

No description given

This is a formative assessment and your score is not recorded. This tests assess integration by substitution. You should be able to use the appropriate substution and then use the integral table.

Substitute values into formulae for the area or volume of various geometric objects.

Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.