Practice dividing polynomials using the long division method.

Simplifying indices.

Simplifying indices.

Practice with adding, subtracting and dividing basic algebraic fractions

Find $\displaystyle \int \frac{nx^3+mx^2+nx + p}{1+x^2}\;dx$. Solution involves $\arctan$.

Inverse and division of complex numbers.  Four parts.

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Multiplication and division of upper and lower bounds.

Practice with adding, subtracting and dividing basic algebraic fractions

Practice dividing polynomials using the long division method.

The simplest case. Divisor is single digit. There is no remainder. 

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)                                 

Testing addition, multiplication and division involving negative numbers.

Addition, multiplication and division of fractions.

The simplest case. Divisor is single digit. There is no remainder. 

The simplest case. Divisor is single digit. There is no remainder. 

Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 

Questions about how the answer to a multiplication or a division is affected if you adjust the numbers involved. E.g. if you double the denominator, what happens to the answer.

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I feel this question has too many questions inside it, I have since made a question that just asks a single division problem called Decimals: Division (includes rounding the answer).

Practice dividing polynomials using the long division method.

Multiply two numbers in standard form, then divide two numbers in standard form.

Needs marking algorithm to allow equal values in standard form to gain equal marks

Inverse and division of complex numbers.  Four parts.

Simplifying indices.

Use a given factor of a polynomial to find the full factorisation of the polynomial through long division.

Inverse and division of complex numbers.  Four parts.

Order of precedence for multiplication, division, addition, subtraction.

Students seem to miss the fact that division is actually multiplication by the reciprocal or the inverse of multiplication. This question attempts to address that.

Students seem to not realise that $\frac{a}{b}\times c=c\times\frac{a}{b}=\frac{a\times c}{b}=\frac{c\times a}{b}=a\times c \div b=a\div b\times c=c\div b \times a \ne c \div (b\times a)\ldots $ etc. This question is my attempt to help rectify this.