P6 Growing patterns and tables
Today’s problem — free all day, every step. Every day has one.
Grey and white triangles — Figure 250
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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The pattern behind it: Growing patterns and tables
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.
How to spot 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'.
Common mistake
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.
Try one like it
Challenging Patchwork badges — orange and purple triangles, Figure n A craft club stitches triangular patchwork badges. Each badge, Figure n, is a triangle made up of small orange and purple triangul…The 33 problem patterns
All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.
A PDF, and a note when new solutions go up.