Problem Solving: Figure Series Flashcards

A figure shows a 3×3 grid where the value in each cell equals the sum of its row number and column number. What value appears in the center cell (row 2, column 2)?

Answer: 4

The center cell is at row 2, column 2, so its value is 2+2=4.

In a figure series, each step adds 3 shapes to a growing pattern: 1, 4, 7, 10, ... How many shapes are in figure 8?

Answer: 22

The arithmetic sequence increases by 3 each step: figure 8 = 1 + (7×3) = 22.

A series shows a square divided into equal sections following perfect squares: 1 section, 4 sections, 9 sections, 16 sections. What is the next number of sections?

Answer: 25 sections

The sections follow n²: 1², 2², 3², 4², 5² = 25, so the next figure has 25 sections.

In a figure series, a clock's minute hand advances 15 minutes each step. Starting at 12:00 in figure 1, what time does figure 5 show?

Answer: 1:00

Four steps of 15 minutes each add 60 minutes to 12:00, giving a result of 1:00.

A figure series shows letters of the alphabet in order, one per figure: figure 1=A, figure 2=B, and so on. Which letter appears in figure 13?

Answer: M

Counting through the alphabet: A=1, B=2, … M=13 — figure 13 shows the letter M.

In a figure series, the number of shapes doubles each step: 1, 2, 4, 8, 16, ... How many shapes are in figure 7?

Answer: 64

Each figure doubles the count: figure 7 = 2^(7−1) = 2^6 = 64.

A figure series follows the rule: each value equals the figure number squared plus 1 (n²+1). The sequence begins: 2, 5, 10, 17, ... What is the value for figure 5?

Answer: 26

Figure 5 = 5²+1 = 25+1 = 26.