Luke Park

A question to practise the following skills in the context of Earth Sciences:

• using a data set to deduce a linear relationship
• using the graph to make predictions

Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.

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)                                 

Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

A question to practise the following skills in the context of Earth Sciences:

• graph-reading skills
• using a graph to find the equation of a line
• used adpative marking

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

5 questions which introduce the student to the Numbas system:

1. Input 1

2. Input 2

3. Input 3         

4. Input 4       

5. Input 5                                                                                  

Finding factors and taking out composite roots.

Adapted from 'Surds 1' by Joshua Boddy.

Practice rationalising a binomial denominator which contains surds.

Adapted from 'Surds 3' by Joshua Boddy.

Practice rationalising a single-term, surd denominator.

Adapted from 'Surds 2' by Joshua Boddy.

A detailed look at how algebraic fractions can be manipulated and simplified.

A brief look at all possible factors of a given algebraic expression.

Adapted from 'Factorisation: finding factors' by Ben Brawn.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Add, subtract, multiply and divide numerical fractions.

Adapted from 'Algebraic fractions: operations involving algebraic fractions' by Ben Brawn.

Some practice collecting like terms of algebraic expressions, with detailed advice.

Adapted from 'Collecting like terms' by Ben Brawn.

Single example with detailed solution for rationalising a binomial denominator which contains surds.

Adapted from 'Surds: rationalising the denominator conjugate' by Ben Brawn.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by substitution 3 with parts' by Joshua Boddy.

Simple example with detailed solution for rationalising a single-term, surd denominator.

Adapted from 'Surds: rationalising the denominator simple' by Ben Brawn.