Lets a student practice finding percentage changes.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Given an ascending sequence of numbers, finds the index in the sequence of the first number greater than or equal to a given value.

indefinite integration

Find $\displaystyle \int ax ^ m+ bx^{c/n}\;dx$.

rebel

rebelmaths

Find the inverse of three $2 \times 2$ invertible matrices.

No description given

Simple probability question. Counting number of occurrences of an event in a sample space with given size and finding the probability of the event.

Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$

Find an interior angle and length of a diagonal of a random parallelogram.

Use the parallel axis theorem to find the area moment of inertia of a triangle and a rectangle about various axes.

Find moment of inertia of a shape which requires the use of the parallel axis theorem for a semicircle.

Find moment of inertia wrt the x- and y- axes for a shape made up of two rectangles.

Find moment of inertia and radius of gyration for a built-up beam made of two channels and two plates.

Find moment of inertia of a composite shape consisting of a rectangle and two triangles with respect to the x-axis. Shapes rest on the x-axis so the parallel axis theorem is not required.

Find centroidal moments of inertia and radius of gyration for a beam composed of  two angle sections forming a box beam.

Use a table of properties to find the Area Moment of inertia for simple shapes: rectangle, triangle, circle, semicircle, and quarter circle.

 The parallel axis theorem is not required for any of these shapes.  One situation requires subtracting a triangle from a rectangle however.

Distinguish between centroidal and non-centroidal moments of inertia.

A weighted coin with given $P(H),\;P(T)$ is tossed 3 times. Let $X$ be the random variable which denotes the longest string of consecutive heads that occur during these tosses. Find the Probability Mass Function (PMF), expectation and variance of $X$.

Application of the Poisson distribution given expected number of events per interval.

Finding probabilities using the Poisson distribution.

Given a table of data, calculate the mean, mode and median, and complete a frequency table.

Find a matrix whose associated linear map maps the unit square to the shown parallelogram. Match figures "of linear maps" with matrices.

Find a basis for the intersection of two kernels of linear maps $\mathbb Q^3\to \mathbb Q^3$ and $\mathbb Q^3\to \mathbb Q$.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

rebelmaths

Given a probability mass function $P(X=i)$ with outcomes $i \in \{0,1,2,\ldots 8\}$, find the expectation $E$ and $P(X \gt E)$.

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a negative gradient.

Identifying y=mx+b given two points

Identifying y=mx+b given two points

No description given

The data is fitted by linear and quadratic regression.  First, find a linear regression equation for the $n$ data points, $20 \le n \le 35$.

They then are shown that the quadratic regression is often a better fit as measured by SSE. Also users can experiment with fitting polynomials of higher degree.