Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

rebelmaths

Solve for $x(t)$, $\displaystyle\frac{dx}{dt}=\frac{a}{(x+b)^n},\;x(0)=0$

Modular arithmetic. Find the following numbers modulo the given number $n$. Three examples to do.

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Resolver ecuaciones de primer grado con dos variables

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Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.

Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.

Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.

Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.

Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.

Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

A method of randomly choosing variable names - use the expression() JME function to create a variable name from a randomly chosen string.

(This question also uses a custom marking script to check that the student has simplified the expression)

Demonstrates that the marking algorithm for "match text pattern" parts doesn't put quotes around substituted strings any more.

Seven standard elementary limits of sequences. 

Manipulation of an exponential function

Manipulación de expresiones algebraicas

Shows how to define variables to stop degenerate examples.