CAT4 Figure Recognition 5

Question 1

A rectangle is divided by two vertical lines into three equal strips. How many rectangles of any size does the figure contain?

Accepted Answer

6

Answer

There are 3 single strips, 2 double-strip rectangles, and 1 whole rectangle, giving 3 + 2 + 1 = 6.

Question 2

A 3-by-3 grid of equal squares is drawn. How many squares of any size are in the figure?

Accepted Answer

14

Answer

There are 9 small squares, 4 two-by-two squares, and 1 three-by-three square, totaling 14.

Question 3

A triangle has two lines drawn from its top vertex to its base, dividing the base into three parts. How many triangles does the figure contain?

Accepted Answer

6

Answer

There are 3 single triangles, 2 made of two adjacent pieces, and 1 whole triangle, giving 6.

Question 4

The target is a square with 2 cm sides. A complex design contains a square with 3 cm sides in the same orientation. Is this a match?

Accepted Answer

No, because the size is different

Answer

The hidden shape must be exactly the same size as the target, so a larger square does not match.

Question 5

The target is a square with horizontal and vertical sides. A design contains a same-sized square rotated 45 degrees so it looks like a diamond. Is this a match?

Accepted Answer

No, because its orientation has changed

Answer

Rotating the shape changes its orientation, so it does not match the target.

CAT4 Practice Test

CAT4 Practice Test

CAT4 Figure Recognition 5