MASH Bath: Question Bank

Round numbers to a given number of decimal places.

No description given

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Round numbers to a given number of significant figures.

Calculating the integral of a function of the form $ax^b$ using a table of integrals. 

Calculating the integral of a function of the form $a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3}$ using a table of integrals. 

Calculating the integral of a function of the form $\frac{a}{bx}$ using a table of integrals.

Integrating an exponential function of the form $ae^{bx}$ using a table of integrals / anti-derivatives.

Calculating the integral of a function of the form $a \sin(bx)$ using a table of integrals.

Calculating the integral of a function of the form $a \cos(bx)$ using a table of integrals.

Calculating the integral of a function of the form $a \sec^2(bx)$ using a table of integrals.

Calculating the integral of a function of the form $\frac{a}{\sqrt{b^2-x^2}}$ using a table of integrals.

Drag points on an axis to plot a linear graph (integer gradient and intercept only)

Calculate the length of a line segment given two points

Find the gradient of the line that passes through the points 

Find the equation from the image of graph

Drag points on an axis to plot a linear graph (rational gradient and intercept)

Calculating the integral of a function of the form $2ax(ax^2+b)^n$ using integration by substitution.

Calculating the integral of a function of the form $x(ax^2+b)^n$ using integration by substitution.

Calculating the integral of a function of the form $kx e^{ax^2}$ using integration by substitution, where $k=2a$.

Calculating the integral of a function of the form $kx e^{ax^2}$ using integration by substitution, where $k=2na$.

Calculating the integral of a function of the form $n x e^{ax^2}$ using integration by substitution.

Calculating the integral of a function of the form $\frac{nx^{n-1}}{x^n+a}$ using integration by substitution.

Calculating the integral of a function of the form $\frac{\cos(x)}{\sin(x)+a}$ using integration by substitution.

Calculating the integral of a function of the form $\frac{k(2ax+b)}{ax^2+bx+c}$ using integration by substitution.

Calculating the integral of a function of the form $e^x \sin(e^x)$ using integration by substitution.

Calculating the integral of a function of the form $\cos(x) \sin^2(x)$ using integration by substitution.

Calculating the integral of a function of the form $ax \cos(x^2+b)$ using integration by substitution.