Students seem to freak out when their answer is not written exactly the same as the answer provided. This question tries to enforce that $(x-y)=-(y-x)$ and $\frac{a-b}{c-d}=\frac{b-a}{d-c}$

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These basic questions will help you expand one set of brackets for linear variables

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

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.

Rearranging simple equations to solve for x.

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Converting a percentage to a fraction and decimal.

Is this number divisible by 100? Half the time the number is, half the time it isn't. Steps give the divisibility test and how to count the number of 100s.

Is this number divisible by 125? Half the time the number is, half the time it isn't. Steps give the divisibility test.

Is this number divisible by 250? Half the time the number is, half the time it isn't. Steps give the divisibility test.

Is this number divisible by 20? Half the time the number is, half the time it isn't.

Is this number divisible by 50? Half the time the number is, half the time it isn't. Steps give the divisibility test and a way to determine the number of fifties.

Is this number divisible by 25? Half the time the number is, half the time it isn't. Steps give the divisibility test and a way to determine the number of twenty-fives.

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Find roots and the area under a parabola

Find roots and the area under a parabola

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

This exercise will help you solve equations of type ax-b = c.

Estimate the number of buckets of paint to buy, by rounding measurements of a room up to the nearest metre and estimating the total area.

Converting between giga, mega, kilo, base, milli and micro, nano. Metres, grams and litres.

Is this number divisible by 2? Half the time the number is, half the time it isn't. Steps give the divisibility test.

Is this number divisible by 9? Half the time the number is, half the time it isn't. Steps give the divisibility test.

Is this number divisible by 3? Half the time the number is, half the time it isn't. Steps give the divisibility test.

Is this number divisible by 10? Half the time the number is, half the time it isn't. Steps give the divisibility test and a way to determine the number of tens.

Is this number divisible by 5? Half the time the number is, half the time it isn't. Steps give the divisibility test and a way to determine the number of fives.

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

Practice with adding, subtracting and dividing basic algebraic fractions