Practice of multiplying fractions (without a calculator).

Practice of multiplying 2 decimal numbers.

Basic calculation exercise using distance in km, expected mph and desired arrival time (with the conversion factor for km to miles given).

Based on a generic test QTS question.

4 questions, of increasing complexity, on subtracting decimals.

What's A, if B% of A is C?

Subtracting fractions.

Finding the numerators & denominators of 4 equivalent fractions.

Converting a fraction to a percentage by cancelling (without a calculator).

Finding a percentage of an amount.

For example, 20% of 150 = 30

What's A as a percentage of B?

8/9/15

Practice of cancelling a fraction, where the denominator will reduce to either 5,10, 20, 25, or 50 and then multiplying numerator and denominator by either 20, 10, 5, 4 or 2 respectively, to represent the fraction as a percentage.  A helpful strategy in the QTS test...

Tweaked the variables to avoid duplicate fractions in the 2 parts & make the second slightly more tricky, on average.  Used the Testing facility to prevent 100 or 200 appearing in the denominators.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

No description given

Questions about percentage and ratio, applied to finance.

Based on section 3.2 of the Maths-Aid workbook on numerical reasoning.

Solve a first order algebraic equation

$I$ compact interval. $\displaystyle g: I\rightarrow I, g(x)=\frac{x^2}{(x-c)^{a/b}}$. Are there stationary points and local maxima, minima? Has $g$ a global max, global min? 

$g: \mathbb{R} \rightarrow \mathbb{R}, g(x)=\frac{ax}{x^2+b^2}$. Find stationary points and local maxima, minima. Using limits, has $g$ a global max, min? 

$I$ compact interval, $g:I\rightarrow I$, $g(x)=(x-a)(x-b)^2$. Stationary points in interval. Find local and global maxima and minima of $g$ on $I$. 

$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

No description given

Given an annual salary, tax allowance, tax rate and pension deduction, work out a person's take-home pay per month.

No description given

No description given

Given sentences involving propositions translate into logical expressions.

Create a truth table for a logical expression of the form $((a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d))\operatorname{op4}(e \operatorname{op5} f) $ where each of $a, \;b,\;c,\;d,\;e,\;f$ can be one the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3},\;\operatorname{op4},\;\operatorname{op5}$ one of $\lor,\;\land,\;\to$.

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