Question P4–P5–P6 Growing patterns and tables
Today’s problem — free all day, every step. Every day has one.
The digits 2, 0, 4, 1 repeat to form the sequence 2, 0, 4, 1, 2, 0, 4, 1, ... The digits used add up to 230. How many digits are there altogether?
Answer
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Find the rule, so Figure 250 is no harder than Figure 4.
In this one. A repeating pattern is a block with a fixed value — divide the total by the block value, and the remainder tells you how far into the next block to walk, digit by digit.
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.