No description given

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 2hrs 30mins (extra time (1)).

Questions have variables to produce randomised questions.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 120 mins (standard time).

Questions have variables to produce randomised questions.

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Simplifying algebraic expressions

Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

No description given

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are asked two true/false questions based on a table of data about the LANTITE test. The pair of true/false questions are randomly selected from a pool of five pairs of questions.

This practice quiz contains 40 numeracy questions, for students preparing for the Australian LANTITE numeracy test. Each question is randomised.

There are 10 questions each from the Number and Algebra, Measurement and Geometry, Statistics and Probability, and non-Calculator strands.

Students are allowed 75 minutes to complete the test. The questions are multiple choice, true/false or fill the number in the box.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students calculate the cost of the halogen globes given electricity cost, number of globes, number of years, replacement cost and lifespan of globes. Some of these variables are randomly selected. There are more than 10 different versions of this question.

Used in a LANTITE workshop.

Filling in the blanks from the answer to a simplified expression involving indices.

A random selection of algebra questions without solutions.

Find the remainder when dividing two polynomials, by algebraic long division.

No description given

Manipulation of algebraic fractions

(a) Equation given, and five coordinates. Student should select those coordinates which lie on the line. (b) Gradient and a point on line is given. Student is to calculate coordinates of other points on the line.

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

Collecting like terms, expanding a bracket (distributive law), substitution of values, finding factors, simplifying algebraic fractions.

If possible, simplify simple expressions by collecting like terms.

Simplifying first is essential in terms of managing expressions that might need factorising.

Manipulate fractions in order to add and subtract them. The difficulty escalates through the inclusion of a whole integer and a decimal, which both need to be converted into a fraction before the addition/subtraction can take place. 

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

Simplify the sum of two algebraic fractions where spotting factorising of both numerators and denominators can reduce the work massively.

Simplify (qx+a)/(rx+b) +/- (sx+c)/(tx+d)

x is a randomised variable. a,b,c,d,q,r,s,t are randomised integers. a,b,c,d run from -5 to 5, including 0. q,r,s,t run from -3 to 3, and can be 0 if the constant term is nonzero, but are mostly 1.

Substitute values into an algebraic expression and calculate the result.

Fiind the Highest Common Factor of two algebraic expressions involving a coefficient and powers of $x$ and $y$.

Simplifying algebraic expressions