Question P6 Growing patterns and tables
Q17 — circles in a growing pattern
Answer
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Find the rule, so Figure 250 is no harder than Figure 4.
In this one. Neither colour follows a rule on its own because the colours take turns — add the two rows into one Total row, and the pattern appears at once: each new ring is 4 circles longer than the last.
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.