Lay out gapfills so the student has to enter either the numerator or denominator of a fraction.

Reducing fractions to their lowest form by cancelling common factors in the numerator and denominator. There are 4 questions. 

Finding the numerators & denominators of 4 equivalent fractions.

This question tests a student's ability to multiply two fractions. Some of the numerators or denominators will be negative.

This question tests a student's ability subtract one fraction from another with different denominators (at least one of them is negative).

This question tests a student's ability to subtract one fraction from another with different denominators.

This question tests a student's ability to add two fractions with different denominators (at least one of them is negative).

This question tests a student's ability to add two fractions with different denominators.

This question tests a student's ability to subtract one fraction from another with the same denominator. There is at least one negative numerator.

This question tests a student's ability to subtract a fraction from another one with the same denominator.

This question tests a student's ability to add two fractions with the same denominator. There is at least one negative numerator.

This question tests a student's ability to add two fractions with the same denominator.

Rationalising Denominator (complex)

Rationalising the Denominator (Simple)

In this question the student will be asked to manipulate surds and rationalise the denominator of a fraction when it is a surd.

This exam covers 

• laws of indices
• using surds and rationalising the denominator
• expanding brackets
• simplifying expressions
• solving linear inequalities
• finding common factors
• dividing a polynomial with remainders, using algebraic division
• factor theorem
• remainder theorem
• inverse and composite functions

This question tests a student's ability to multiply two fractions. Some of the numerators or denominators will be negative.

This question tests a student's ability to subtract a fraction from another one with the same denominator.

This question tests a student's ability to subtract one fraction from another with the same denominator. There is at least one negative numerator.

This question tests a student's ability to add two fractions with the same denominator. There is at least one negative numerator.

This question tests a student's ability to add two fractions with different denominators (at least one of them is negative).

This question tests a student's ability to add two fractions with different denominators.

This question tests a student's ability to subtract one fraction from another with different denominators.

This question tests a student's ability subtract one fraction from another with different denominators (at least one of them is negative).

Lay out gapfills so the student has to enter either the numerator or denominator of a fraction.

Practice rationalising a binomial denominator which contains surds.

Adapted from 'Surds 3' by Joshua Boddy.

Lay out gapfills so the student has to enter either the numerator or denominator of a fraction.

Finding the numerators & denominators of 4 equivalent fractions.

Practice rationalising a binomial denominator which contains surds.

Adapted from 'Surds 3' by Joshua Boddy.

Practice rationalising a single-term, surd denominator.

Adapted from 'Surds 2' by Joshua Boddy.