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P2 Growing patterns and tables

Today’s problem — free all day, every step. Every day has one.

continue a number sequence

305, 355, 405, __. What comes next?

One step of the worked solution to continue a number sequence, drawn in pencil.
5 steps, drawn in pencil

See all 5 steps

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65 worked examples are free without a code, two from every pattern. No account, either way.

The pattern behind it: Growing patterns and tables

Find the rule, so Figure 250 is no harder than Figure 4.

In this one. Counting on repeats the same tens or hundreds step.

The first threeeach one adds 3Figure 14Figure 2+3Figure 3+3Any figure3n + 1Figure nFigure 250 = 751

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

Standard continue a number sequence 240, 260, 280, __. What comes next?
More about Growing patterns and tables →

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.