No description given

No description given

No description given

No description given

No description given

The student must enter a number in scientific notation, with separate boxes for significand and exponent. They only get the marks if both elements are correct.

Assesses multiplying numbers

No description given

Statistics and probability. Two questions: using LSD and Tukey yardsticks.

These questions focus on using the 4 basic maths operations to answer numerical reasoning tests.

TEST RUN to create exam on fractions

No description given

No description given

Implicit differentiation.

Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.

Implicit differentiation.

Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Using differentiation to find the tangent and normal to a line at a given point

Real life problems with differentiation

 $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Finding the stationary points of a cubic with two turning points

Differentiating the natural logarithm

$2e^{x^3}+4e^x$

$2e^{x^3}+4e^x$

$2e^{x^3}+4e^x$

Differentiate $f(x) = (a x + b)/ \sqrt{c x + d}$ and find $g(x)$ such that $ f^{\prime}(x) = g(x)/ (2(c x + d)^{3/2})$.

The derivative of $\displaystyle \frac{ax+b}{cx^2+d}$ is of the form $\displaystyle \frac{g(x)}{(cx^2+d)^2}$. Find $g(x)$.

Differentiate $f(x) = x^m(a x+b)^n$.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.

Differentiate $x^m\cos(ax+b)$

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

Using the chain rule within product rule problems