Worksheet generator

1.A — 123KA-0160Arithmetic sequences and the nth term

• BI multiplied the step by 30 instead of by 29, forgetting that the first term needs no steps.
• CI used 4 times 30 and forgot to add the starting value.
• DI added 28 steps instead of 29, counting the gaps one short.
• EI treated the first term as the step and used 7 times 30 minus something close.

2.B — greenKA-0014Repeating cycles and position mod n

• AI got a remainder of 2 but started counting the colours at zero, which shifted me back one bead.
• CI counted the seven whole repeats and then counted three more beads instead of two.
• DI divided 30 by 4, got 7 remainder 2, and used the last colour of a repeat as though the remainder were zero.
• EI thought the repeating pattern had no fixed starting point, even though bead one is given.

3.C — 65KA-0103Recursive rules

• AI stopped at the fourth term, counting the starting number as the first step rather than the first term.
• BI generated one term too few, giving the fifth term instead of the sixth.
• DI doubled six times and subtracted 1 only once at the end.
• EI generated one term too many, giving the seventh instead of the sixth.

4.C — 55KA-0107Growth patterns and figurate numbers

• AI stopped at the eighth triangle, losing count while adding the rows.
• BI gave the ninth triangle instead of the tenth, being one row short.
• DI gave the eleventh triangle, adding one row too many.
• EI squared the position number, which describes square patterns rather than triangular ones.

5.A — 64KA-0156Growth patterns and figurate numbers

• BI gave the number of dots in the eighth ROW instead of the whole figure.
• CI added the row numbers 1 through 8 instead of the odd numbers of dots.
• DI multiplied 8 rows by 9, using a rough average row that is one too large.
• EI counted the rows starting from zero and used the ninth square number.