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Simple spirometer - find your lung capacity from the number and size of soap bubbles in one breath
Assumed that each bubble has practically the same diameter d. Given total number n of bubbles. Find volume v of breath.

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Remove DC
Input x is the sampled signal vector, may have both AC and DC components. Output y should not contain any DC component. Examp...

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Reverse the elements of an array
Reverse the order of elements in an array: eg: input X = [ 1 2 3 ; 4 5 6 ; 7 8 9 ] o...

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German tank problem
The <http://en.wikipedia.org/wiki/German_tank_problem German tank problem> is a well-known statistical problem that attempts to ...

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Missing five
Convert decimal numbers to a base-9 notation missing the digit *5* <<http://www.alfnie.com/software/missing5.jpg>> Too man...

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Say something funny
Say something funny, or not. Your solution will be (fully automatically and objectively) scored based on how clever or funny ...

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Fibonacci-Sum of Squares
Given the Fibonacci sequence defined by the following recursive relation, * F(n) = F(n-1) + F(n-2) * where F(1) = 1 and F(1)...

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So many choices
For inputs _n_ and _k_ (in that order), output the number of ways that k objects can be chosen from amongst n distinct objects. ...

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Circumscribed circles
Given the lengths of the 3 sides of a triangle, output the radius of the circumscribed circle. Example: [3 4 5] -> 2.5

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Extract leading non-zero digit
<http://en.wikipedia.org/wiki/Benford%27s_law Benford's Law> states that the distribution of leading digits is not random. This...

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Who knows the last digit of pi?
There is only one man who knows the last digit of pi, who is that man? Give the name of that man, who, by popular believe, can ...

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Replace every 3rd element in a vector with 4
x is a vector of undetermined length You are to replace every 3rd element with the number 4, example: x = [11 23 34 43 2 3...

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first element of matrix
find the first elements of a column matrix

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area of a sphere

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Do they touch?
The center and radius of two circles are given. Determine whether they touch.

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Create a Matrix of Zeros
Given an input x, create a square matrix y of zeros with x rows and x columns.

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0<=x<=pi?
Check whether the given angle is between zero and pi. Return logical true or false.

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Area of rhombus
Calculate the rhombus area

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Area of a circle
Given the radius x, y would be the area of a circle. Pi = 3.1416

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Negative Infinity
Round the given array a towards negative infinity.

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How long do each of the stages of the rocket take to burn?
A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...

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Beginner's Problem - Squaring
Try out this test problem first. Given the variable x as your input, square it by two and put the result in y. Examples: ...

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Tell me the slope
Tell me the slope, given a vector with horizontal run first and vertical rise next. Example input: x = [10 2];

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Stairs
Make an n by n matrix, where the elements are ones and zeros. In the main diagonal, and under that, there should be only ones (...

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Matrix for beginners
Multiply x and y elemwise.

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Problem for beginners
M is a nxm matrix. Swap the fist and the second last column with eachother. X=[1 2 3;4 5 6;7 8 9] Y=[2 1 3;5 4 6;8 7 9]

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Problem for beginners
Suppose that x is a column vector, with at least a length of 6. Delete the 2., 6., and the second last row. Example: X=[1;2;3...

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Square root
Given x (a matrix), give back another matrix, where all the elements are the square roots of x's elements.

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Box
Give the volume of a box, x is equal to the body diagonal.

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Square
X is a number, write a code, where Y should be the square of X.

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