ACT Sequences Practice Problems

How many shaded tiles will be in the seventh figure of the pattern?

• 10

• 15

• 21

• 28

• 36

How many tiles are in the next figure in the pattern?

• 36

• 37

• 42

• 49

• 53

How many tiles are there in the tenth figure?

• 17

• 19

• 21

• 23

• 25

How many dots that will be in the eighteenth figure of this pattern?

• 256

• 289

• 324

• 361

• 400

What is the sum of the numbers on the tiles in the tenth figure of this pattern?

• 45

• 50

• 65

• 75

• 100

Nine segments of a pattern are shown. Each of the two shortest segments is one unit long. How many units long will the thirtieth segment be?

• 12 units

• 15 units

• 17 units

• 18 units

• 20 units

Given the pattern below, how many triangles will be in the sixth figure?

• 12

• 15

• 18

• 21

• 23

Given the pattern below, how many triangles will be in the sixth figure?

• 16

• 18

• 24

• 32

• 64

Regular hexagons with side of length 2 are placed together as shown in the figure. What is the perimeter P of the figure formed by 84 hexagons?

• 512

• 676

• 694

• 712

• 754

Equilateral triangles with sides of length 3 are placed together as shown. What is the perimeter of the figure formed using 50 triangles?

• 130

• 148

• 156

• 164

• 175