Lois Rollings

r digits are picked at random (with replacement) from the set $\{0,\;1,\;2,\ldots,\;n\}$. Probabilities that 1) all $\lt k$, 2) largest is $k$?

Calculate the expression $\frac{12}{4}a+\frac{3}{5}a$. One of the following is not correct, which one?

Add/subtract fractions and reduce to lowest form.

Given value of x^(1/n), x^(-1/n) find x.

Given amounts of ingredients for n cakes, given list of ingredients for m.

Multiplying two 2 x 2 matrices.

aij  notation and definition of the order of a matrix.

Converting binary numbers to decimal; includes twos complement.

Footballer expects to score in a/b matches.

Converting a length in m to mm, cm and km.

Addition, multiplication and division of fractions.

Permutation of n objects; choosing e.g. 3 from 5.

Find the mean, median and mode of a list of 10 test scores.

A box contains $m$ white balls and $n$ black balls. A ball is drawn out of the box at random. What is the probability that the ball is black/white?

Given a number evaluate simple power, negative power, to one half.

Implication sign and 'if, then' construction.

Solve $p - t < \text{or}> q$

Express $\displaystyle ax+b+  \frac{dx+p}{x + q}$ as an algebraic single fraction. 

Differentiate $\displaystyle (ax^m+b)^{n}$.

Using chain rule to differentiate functions of the form asin(mx+b).

Find the area of a triangle where all three coordinates of the vertices are given.

Calculation of area & circumference of circle, given its radiua.

Given lengths in mm, find capacity in cm^3 and litres.

Express $\displaystyle \frac{a}{(x+r)(px + b)} + \frac{c}{(x+r)(qx + d)}$ as an algebraic single fraction over a common denominator. The question asks for a solution which has denominator $(x+r)(px+b)(qx+d)$.

Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$

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

Originally put together for EG4140/50 group UEL, 2015.

Solve $p - t < \text{or}> q$

True/false questions on multiplying brackets and dividing an expression by a number.

Matching a straight line graph to its equation.