Dividing powers of x - set out as a fraction

Add, subtract, multiply and divide algebraic fractions.

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

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

Multiply two algebraic fractions (unfortunately their appearance doesn't really change) and cancel. 

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

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.

Fractions don't have a common denominator. Need to find one. Addition and subtraction 50:50 split.

This exercise will help you rearrange a linear equation to find the value of a given variable

Some quadratics are to be solved by factorising

Practice with adding, subtracting and dividing basic algebraic fractions

Add, subtract, multiply and divide algebraic fractions.

Practice with adding, subtracting and dividing basic algebraic fractions

Add, subtract, multiply and divide algebraic fractions.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students need to add two fractions with different denominators, then subtract the answer from 1. There are 9 different versions of this question.

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Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the total hours of work (randomised) and overtime (randomised) and asked to write an expression for the amount of pay earned.

Straightforward solving linear equations question.

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

Calculating limits using algebraic techniques

Evaluate a rational limit using algebra

Evaluate $\displaystyle \lim_{x\to k} \frac{x+a}{\sqrt{x+b} - c}$ using algebra

Evaluate a rational limit using algebra

Evaluate $\displaystyle \lim_{x\to 0} \frac{\sqrt{ax+b} - d}{cx}$ using algebra

Evaluate $\displaystyle \quad \lim_{x\to a} \frac{ex+d}{ax^2+bx+c} \quad $ algebraically.