Algebra Fundamentals

Sequences

In this quiz we explore various sequences, which not only make for fun puzzles but are central to algebra.

Could you describe this pattern well enough that someone could reproduce it without having seen it?

Sequences

How many squares will be in Step 99?

Sequences

Does column 15 have more stars or squares?

Hint: notice that each horizontal row has its own pattern.

Sequences

In each figure, squares are either empty or filled with a circle. How many empty squares does Figure 10 have?

Sequences

Unit cubes are stacked to create a large cube and then painted green. How many unit cubes within a larger \(10 \times 10 \times 10\) cube will have exactly one face painted green?

Sequences

Jill is arranging tables for party that will be placed in one long row, end to end. Each side of each table can seat one person.

Which table shape cannot seat exactly 50 people, regardless of the number of tables used?

           
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