Week 4: Decidedly Average

In the following grids, each blank square should be filled with the mean of the two numbers in adjacent squares.

(a)        Fill in the grid below.

Screen Shot 2022-12-07 at 2.21.43 PM

(b)       Find x in the following grid, leaving your answer in terms of a,c:

Screen Shot 2022-12-07 at 2.21.51 PM

(c)        Find x in the following grid, leaving your answer in terms of a,c:

Screen Shot 2022-12-07 at 2.21.57 PM

(d)       For a grid of length n with first box a and last box c, make a hypothesis for the value of x, the box adjacent to c in terms of a,c,n.

Screen Shot 2022-12-07 at 2.22.05 PM

(e)        Check your hypothesis works when a = 10, b = 15, n = 6.

Teacher notes:

Level of difficulty:  Accessible for good SL and HL students

Syllabus knowledge required:  Basic averages and algebraic manipulation

This could be done when doing mean, median mode.

Solutions:

You can download the solution pdf here.

Can you prove your hypothesis?

 

Published by Ibmathsresources.com

Maths teacher

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