The student is asked to find the square root of an integer of the form $\pm n^2$. If the root is not real, they should enter "nan".

A custom marking algorithm extends the built-in one to deal with "nan".

There's some custom javascript to set the expected answer correctly. In the future this will be possible in the marking algorithm - see https://github.com/numbas/Numbas/issues/856

Multlipying and subtracting mixed numbers. It is expected that a calculator is used to perform this question.

Public

Public

Public

Public

Substitute values into formulae for the area or volume of various geometric objects.

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Identifying gradient and $y$-intercept from $y=mx+b$.

A quick knowledge and understanding check of:

1) Work done concept.

2) Work done formulae: W = Fx and W = Fxcos(y).

3) Equivalent units of work.

Graphing $y=ab^{\pm x+d}+c$

Graphing $y=ab^x+c$

Graphing exponentials with a base between 0 and 1 and no transformations take place.

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Here you need to choose which formula you would use to find the red dashed value from the solid green values.  The view is three-dimensional and you can rotate it to get a better view.

Variable defintions in the formulas:
$\theta$ is an angle
Adj. is the length of the side adjacent to the known angle
Opp. is the length of the side opposite the known angle
Hyp. is the length of the hypotenuse


Your goal is to get twenty correct answers quickly. Incorrect answers show a highlight of the correct answer to select to continue.  The timer starts as soon as you choose your first answer and continues until you get 20 correct.  Select save answer after your results show in the applet.

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Graphing $y=a\log_{b}(x)+c$

Graphing $y=a\log_{b}(\pm x+d)+c$

Given an equation or a worded formula determine if it is a function or not

A quick practice set of problems for education students to take in preparation for their numeracy test.

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Quiz covering basic arithmetic with complex numbers, solving a quadratic with complex solutions and converting to/from polar and rectangular forms.

Reduced or simplified form of a fraction by cancelling the greatest common divisor (gcd) of numerator and denominator (i.e dividing out by it)

The greatest common factor are designed to be one of the following 2,4,5,10,20,25,50,100,125,250

Calculating the derivative of a function of the form $\frac{(x-a)^2}{bx} + c$, finding its stationary points and determining their nature.

Given a graph of the form either a.cos(bx) or a.sin(bx), identify the amplitude and period.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

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This question tests students' ability to use repeated squaring to perform modular exponentiation.  Moduli are random numbers between 30 and 70, the base is a number between 10 and 29.  To generate questions of approximately uniform difficult the exponent is taken to be 256 plus two smaller powers of 2.