Abstract and Logical Patterns Flashcards

A series of shapes alternates: circle, square, triangle, circle, square, ___. What comes next?

Answer: Triangle

The pattern repeats in a cycle of three (circle, square, triangle), so the 6th item is triangle.

Each figure in a row has one more side than the previous. The row starts with a triangle. What is the 5th figure?

Answer: Hexagon

Triangle (3 sides) → 4 → 5 → 6 sides = hexagon at position 5.

In a 3×3 matrix, each row contains a black circle, a white circle, and a grey circle in some order. The first row is black-white-grey and the second row is white-grey-black. What is the correct order for the third row?

Answer: Grey-black-white

Each column must contain all three shades, so the third row fills the remaining shade in each column: grey-black-white.

A pattern shows numbers: 2, 4, 8, 16, ___. Which rule describes this sequence?

Answer: Multiply by 2 each time

Each term is double the previous (2×2=4, 4×2=8, 8×2=16), so the rule is multiply by 2.

Shapes in a sequence rotate 90° clockwise with each step. If the arrow points right in step 1, where does it point in step 5?

Answer: Right

Four 90° rotations complete a full 360° cycle, so step 5 returns to the same position as step 1 — pointing right.

In a grid, the number of dots in each cell equals the sum of the two cells directly above it (like Pascal's triangle). If the top row is 1, 2, 1, what is the leftmost value of the third row?

Answer: 1

The leftmost cell in any row has no left neighbor, so it inherits only the edge value of 1.

A pattern alternates between adding 3 and subtracting 1: 5, 8, 7, 10, 9, ___. What is the next number?

Answer: 12

The pattern adds 3 then subtracts 1 repeatedly: 9 + 3 = 12.