Crack this code which depends on taking pairs of letters and using
two simultaneous relations and modulus arithmetic to encode the
Decipher a simple code based on the rule C=7P+17 (mod 26) where C is the code for the letter P from the alphabet. Rearrange the formula and use the inverse to decipher automatically.
A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?
We only need 7 numbers for modulus (or clock) arithmetic mod 7
including working with fractions. Explore how to divide numbers and
write fractions in modulus arithemtic.
When can a pdf and a cdf coincide?
Consider these questions concerning inverting rational functions
Draw the graph of a continuous increasing function in the first
quadrant and horizontal and vertical lines through two points. The
areas in your sketch lead to a useful formula for finding
Make a functional window display which will both satisfy the manager and make sense to the shoppers
Can you match these equations to these graphs?
Can you make a curve to match my friend's requirements?
Plot the graph of x^y = y^x in the first quadrant and explain its
Place a red counter in the top left corner of a 4x4 array, which is
covered by 14 other smaller counters, leaving a gap in the bottom
right hand corner (HOME). What is the smallest number of moves. . . .
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
Which curve is which, and how would you plan a route to pass between them?
Here are several equations from real life. Can you work out which measurements are possible from each equation?