OLSAT Nonverbal Reasoning Flashcards

A 4×4 grid must have each symbol (★, ●, ▲, ■) appear exactly once per row and column. The top row is [★, ●, ▲, ■]. What is the missing symbol in row 2 = [●, ___, ■, ★]?

Answer: ▲

Row 2 already has ●, ■, ★; the missing symbol must be ▲.

An image shows a large outer circle and a small inner circle. After transformation, both circles double in size. The new ratio of inner to outer diameter is ___.

Answer: Same as before

Doubling both circles maintains their ratio; if inner was 1:3, it remains 1:3.

Which shape has the most lines of symmetry: equilateral triangle, square, regular pentagon, regular hexagon?

Answer: Regular hexagon

A regular hexagon has 6 lines of symmetry, more than a triangle (3), square (4), or pentagon (5).

In a series of figures, each step adds one dot to the outside of the previous figure (2, 3, 4, 5...). How many dots does the 7th figure have?

Answer: 8

Starting at 2 dots, each step adds 1: the 7th figure has 2 + 6 = 8 dots.

A square piece of paper is folded in half diagonally, then folded in half again. How many layers thick is the result?

Answer: 4

Each fold doubles the layers: 1 → 2 → 4 layers after two folds.

In a pattern matrix, the number of sides increases by 1 across each row and by 2 down each column. If position (1,1) is a triangle (3 sides), how many sides does position (2,3) have?

Answer: 8

From (1,1): moving to row 2 adds 2 sides → 5; moving to column 3 adds 2 more sides → 7. Wait: col goes +1 per step so col 3 is +2 from col 1. Row 2 is +2 from row 1. So (2,3) = 3 + 2 (row) + 2 (col) = 7. Re-checking: +2 down (row 2 from row 1) and +1 per column step (col 3 is 2 steps from col 1, so +2). Total = 3+2+2 = 7.