This easy question is intended to be used by administrators to test the integration of Numbas with a learning environment.

This easy exam is intended to be used by administrators to check the integration of Numbas with a leaarning environment.

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant.

Nice easy case except divisor is a double digit. There is no remainder. 

This easy exam is intended to be used by administrators to check the integration of Numbas with a leaarning environment.

Nice easy case except divisor is a double digit. There is no remainder. 

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This test contains a few easy questions on subjects covered in the GCSE syllabus. I made it to try out the "School" theme, adapted for younger students.

This is a deliberately easy question that I use for testing.

A couple of questions. Some hard, some easy.

Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

Easy true/false questions to check if the meaning of a size of a matrix is understood, in terms of numbers of rows and columns.

Finding a matrix from a formula for each entry, which involves the row and column numbers of that entry. Not randomized because it's the same as in our workbook. But the variables are made in a way that it should be easy to randomise the size of the matrix, and the to change the formula for the input in not too many places.

easy vector addition and scalar multiplication, for practice after Section 1 of lectures.

Easy intro questions to be done when the students have seen the "vector space axioms" but not as axioms, just in the context of \(\mathbb{R}^n\).

A demonstration of the exam-level variable override feature. The student is shown the same question several times, but each instance is set up to suggest a different error in the process of computing the median of a sample. The first instance is very easy, and the last is pretty hard.

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

Einfache Matheprüfung mit 4 Fragen.

Dividing a cubic polynomial by a linear polynomial. Find quotient and remainder.

When are vectors $\boldsymbol{A,\;B}$ perpendicular?

Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$. 

A randomly generated list of numbers is shown to the student. They must tick every occurrence of the lowest number. The number of occurrences isn't always the same - sometimes the minimum is unique and sometimes it is repeated. The map function makes it easy to construct a marking matrix.

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

Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

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

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant.