Finding the resistive voltage in a simple series RL circuit.

Simple exercise in collecting terms in different powers of \(x\)

Reading a value from a simple bar chart.

The simplest case. Divisor is single digit. There is no remainder. 

Calculate the moment of a force.  Must calculate perpendicular distance based on simple geometry, and recognize direction.

Homework set.  Find centroids of shapes by dividing them into simple subshapes.

simplifying, multiplication, fraction of square roots resulting in rational, square root of fraction resulting in rational, rationalising the denominator, simple rationalising the denominator conjugate

Written for the Western Sydney University MESH numeracy preparation workshop for the LANTITE test (Australia). Students are given a height in centimetres and another height in metres, and are asked to write the ratio of the two heights in simplest form. There are 16 versions of this question.

Manipulation of algebraic fractions

If possible, simplify simple expressions by collecting like terms.

Simple unit conversion with metric units. 

Simple exercise in collecting terms in different powers of \(x\)

Simple exercise in collecting terms in different powers of \(x\)

Simple exercise in collecting terms in different powers of \(x\)

Simple substitution into an algebraic expression. Includes powers, division, mulitplication, brackets.  Includes subscripts.

Solving simple linear equations in $\mathbb{Q}$ and $\mathbb{Z}_n$ for $n= 13, \;17$ or $19$.

Use the simplex method to solve a linear program.

MCQ to calculate the relative percentage error in a simple multiplication.

A whole number divided by a very simple algebraic fraction. No cancelling is required by design.

A very simple algebraic fraction multiplied by a whole number. No cancelling is required by design. 

A simple algebraic fraction dividing by another. Cancelling is recommended.

Recognising that $(x-a)^2+(y-b)^2=r^2$ is a circle of radius $r$ with centre $(a,b)$ 

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Solve a simple linear equation algebraically. The unknown appears on both sides of the equation.

Given $5$ vectors in $\mathbb{R^4}$ determine if a spanning set for $\mathbb{R^4}$ or not by looking for any simple dependencies between the vectors.

Finding the current in a simple series RL circuit.

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

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