A collection of questions demonstrating the programming extension.

Use the product rule (number of ways of doing A and B = (no. for A)*(no. for B)) to count the number of ways of doing two independent tasks.

The student must write R code to assign the given value to the variable x.

This question shows how to display a plot generated in matplotlib from code written by the student.

Asks the student to calculate the sum of the triangular numbers (up to some randomised number). 

Steps guide the student through each step in the calculation.

The student must write a list comprehension to map the elements of a given list.

The student must write code to filter a given list of numbers, returning only the positive elements.

Given an unknown list, the student must write Python code to create a copy of it.

There's an alternative to catch the case where the student's variable is just a reference to the original list.

This is the simplest demonstration of the "code" part type I could think of: assign x = 1.

An alternative answer gives a hint if the studen'ts code doesn't define x at all.

A Eukleides diagram showing a list of numbers, each in their own box, with the sum drawn above.

A Eukleides diagram showing a list of numbers, each in their own box, with the sum drawn above.

Draws a diagram showing a randomly-chosen number of circles, packed in a box.

sin vertically shifted Working 1_11_16

The student is presented with a scenario then asked to select a sample size to investigate and the number of bins for a histogram of the data. Theoretical distributions of normal, uniform and lognormal distributions can be overlayed on the histogram. Student is asked to identify the most likely distribution and the mean of this distribution (within a +/-10% margin of error).

This question is the one described in method 2 of the example "Apply a standard integral" in the Numbas documentation.

The student is shown a randomly chosen function to integrate. The function is one of $e^{kx}$, $x^k$, $\cos(kx)$, $\sin(kx)$, with $k$ a randomly chosen integer.

Simplifying algebraic expressions

Simple application of "Power Rule" to differentiate single term functions.

All co-efficients and powers are integer (though some may be negative.

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test of distribution

demo of system

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Fairly simple questions using differentiation "power rule" and "sum or difference rules" to differentiate single term functions and polynomials.

Some co-efficients and indices can be negative and/or fractional.

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The student is presented with a scenario then asked to select a sample size to investigate and the number of bins for a histogram of the data. Theoretical distributions of normal, uniform and lognormal distributions can be overlayed on the histogram. Student is asked to identify the most likely distribution and the mean of this distribution (within a +/-10% margin of error).

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This question assesses the learner's ability of calculating confidence intervals for numerical data and conducting a one-sample t-test.

Randomized input values: sample summary statistics and confidence level.

Adapted from question 7.12 in OpenIntro Statistics (4th ed).

English sentences which are propositions are given and the appropriate logical expression chosen for the negation of the sentence.

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