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P3 Growing patterns and tables

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

continue a number sequence

Continue this number pattern: 3000, 3500, 4000, __. What is the next number?

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

See all 5 steps

MathBrush is being tested with a few parent groups, and every solution on the site is open to them — one household, all children. If you were given a code, it goes in once and this device remembers it.

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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. A number sequence continues by applying the same stated place-value step each time.

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 Continue this number pattern: 2400, 2500, 2600, __. What is the next number?
All 4 with this pattern →

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.