Working with powers

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

Questions about Pythagoras' theorem

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

Calculate the net present value for the following property assets:

This question asks you to place a point on a number line. The number is a multiple of pi.

This question asks you to place a point on a number line. The number is a multiple of pi.

This question asks you to place a point on a number line. The number is a multiple of sqrt{2}/2.

This question asks you to place a point on a number line. The number is a multiple of sqrt{2}/4.

Differentiate $ \sin(ax+b) e ^ {nx}$.

Two double integrals with numerical limits

Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$. Calculate $f(p,q)$.

Definite Integrals

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Given $f(x)=(x+b)^n$. Find the gradient and equation of the chord between $(a,f(a))$ and $(a+h,f(a+h))$ for randomised values of $a$, $b$ and $h$.

Given a graph, the student is asked to determine the quadratic function.

Finding values which satisfy an inequality.

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).

This question tests a student's ability to divide one fraction by another.

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 raise a negative base to a negative exponent.

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

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 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.