A quartic is given and the student is asked whether the gradient is positive or negative at various values of x.

A quartic graph is given. The question is to determine whether the gradient is positive or negative at various values of x. Non-calculator. Advice is given.

Multiplication of $2 \times 2$ matrices.

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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.

Given a number evaluate simple power, negative power, to one half.

Given a number evaluate simple power, negative power, to one half.

Add two numbers. Sometimes one of them is negative.

Add two numbers. Sometimes one of them is negative.

Direct calculation of low positive and negative powers of complex numbers. Calculations involving a complex conjugate. Powers of $i$. Four parts.

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 question tests a student's ability to raise a negative base to a negative exponent.

This question tests a student's ability to raise 1 to a negative exponent.

This question tests a student's ability to raise a positive base to a negative exponent and then take the negative. The base and the exponent have the same absolute value.

This question tests a student's ability to raise a positive base to a negative exponent and then take the negative.

This question tests a student's ability to raise a positive base to a negative exponent.

This question tests a student's ability to raise a negative base to an exponent of -1.

This question tests a student's ability to divide one fraction by another (at least one of the numerators will be negative).

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 add two fractions with different denominators (at least one of them is negative).

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.

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.

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