CFAT Problem Solving: Figure Series 2

Question 1

In a figure series, a shape rotates 90° clockwise with each step. If the shape points upward in figure 1, which direction does it point in figure 5?

Accepted Answer

Upward

Answer

Four rotations of 90° clockwise total 360°, returning the shape to its original upward position.

Question 2

A series shows: Circle, Square, Triangle, Circle, Square, Triangle, Circle, Square, ___. What shape completes the sequence?

Accepted Answer

Triangle

Answer

The pattern repeats every 3 figures (circle, square, triangle), and the 9th position is the 3rd in the cycle: triangle.

Question 3

Each figure in a series has one more side than the previous. Figure 1 is a triangle (3 sides). How many sides does figure 5 have?

Accepted Answer

7 sides

Answer

Starting at 3 sides and adding 1 each step: 3, 4, 5, 6, 7 — figure 5 is a heptagon with 7 sides.

Question 4

A series alternates between a filled (black) circle and an empty (white) circle. If figure 1 is filled, what is figure 8?

Accepted Answer

Empty

Answer

Even-numbered figures are empty since the pattern alternates and figure 1 (odd) is filled.

Question 5

In a figure series, the number of dots increases by 2 each step: 1, 3, 5, 7, ... What is the number of dots in figure 6?

Accepted Answer

11

Answer

The sequence of odd numbers continues: 1, 3, 5, 7, 9, 11 — the 6th figure has 11 dots.

(CFAT) Canadian Forces Aptitude Test Practice Test