A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Several quadratics are given and students are asked to complete the square.

This question tests the student's ability to identify the factors of some composite numbers and the highest common factors of two numbers. 

Manipulation of algebraic fractions

Manipulation of algebraic fractions

Factorising polynomials using the highest common factor

Multiples, factors, lowest common multiples and highest common factors.

Manipulation of algebraic fractions

Manipulation of algebraic fractions

Cofactors Determinant and inverse of a 3x3 matrix.

Cofactors Determinant and inverse of a 3x3 matrix.

Cofactors Determinant and inverse of a 3x3 matrix.

The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

No description given

No description given

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Factorising polynomials using the highest common factor

Several quadratics are given and students are asked to complete the square.

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

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

Several quadratics are given and students are asked to complete the square.

Several quadratics are given and students are asked to complete the square.

Multiples, factors, lowest common multiples and highest common factors.

Testing factorisation of quadratics.

Testing factorisation of quadratics.

Several quadratics are given and students are asked to complete the square.

The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.