Question P6 Growing patterns and tables
Today’s problem — free all day, every step. Every day has one.
Figure n is a triangle of small white and grey triangles. Given the counts for Figures 1–4, find (a) Figure 5's counts, (b) the total in Figure 250, (c) the percentage grey in Figure 250.
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Find the rule, so Figure 250 is no harder than Figure 4.
In this one. Mine the table for relationships before you calculate — total, difference, and what stays the same — because those rules crack Figure 250 without ever drawing it.
A row of figures or a table of numbers is shown for the first few terms only, and the question asks for a term far further along, such as 'Figure 6' or 'Figure 250'.
Children extend the sequence one term at a time by drawing or counting. Finding the fixed step or relationship lets them jump straight to the term asked for.
Worked examples of all 33 patterns and skills, in a booklet you can print.