Substitute a given value into a formula, and substitute an expression in terms of $x$ into a formula.

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

9 questions: Expanding out expressions such  $(ax+b)(cx+d)$ etc.

Quotient and remainder, polynomial division.

Dividing powers of x - set out as a fraction

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Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

Adapted from Q1 of the sample paper for Unit 1

A simple "Complete the Table" exercise to reinfore prefixes (giga, micro etc) and engineering notation ($\times10^3$ etc).

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

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A demo of the "quantities with units" extension and custom part type.

Add, subtract, multiply and divide algebraic fractions.

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given equation of locus in form |z-a|=bfind centre and radius. multiple choice question

given random circle on graph with centre in 2nd or 3rd quadrant. find loci in complex form

Given |z-a|=b multiple choice question to describe the locus

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are given the total cost, insurance fee and daily hire charge (all randomly generated). They need to calculate the number of days hired.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are shown a personal income tax table and given a randomly generated taxable income. They are required to calculate the tax payable.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. The total amount raised and the number of participants is supplied (and both are randomly generated). Students must calculate the average per participant. 

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students need to calculate the proportion of calls for one given emergency, after reading the number of calls, and total number of calls from the supplied infographic. There are 4 different versions of this question.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Two people walk away from a central flagpole, in different directions. The multiple choice question asks for the angle between them. There are seven potential scenarios.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. The bus timetable is shown, and one multiple choice question asked. There are seven potential questions (scenarios).