EDPT Spatial Reasoning and Patterns 5

Question 1

In a pattern sequence, each frame adds two more identical shapes than the previous frame. Frame 1 has 1 shape, Frame 2 has 3 shapes. How many shapes are in Frame 6?

Accepted Answer

11

Answer

Frame n has 2n − 1 shapes; Frame 6 = 2(6) − 1 = 11 shapes.

Question 2

A square is divided into 4 smaller squares. Each small square is then divided into 4 even smaller squares. How many smallest squares are there in total?

Accepted Answer

16

Answer

Dividing each of 4 squares into 4 gives 4 × 4 = 16 smallest squares.

Question 3

A figure has rotational symmetry of order 6. Through how many degrees must it be rotated (minimum) to look identical to its original position?

Accepted Answer

60°

Answer

Order-6 symmetry means the figure maps onto itself 6 times per full rotation; 360° ÷ 6 = 60°.

Question 4

A staircase pattern is built with blocks: Step 1 uses 1 block, Step 2 uses 3 blocks, Step 3 uses 6 blocks. How many blocks does Step 5 use?

Accepted Answer

15

Answer

The pattern follows triangular numbers: Step n uses n(n+1)/2 blocks; Step 5 = 5×6/2 = 15.

Question 5

Two identical right triangles are placed together along their hypotenuses. What shape is always formed?

Accepted Answer

A rectangle

Answer

Two congruent right triangles joined at their hypotenuses always form a rectangle.

EDPT - Electronic Data Processing Test Practice Test

EDPT - Electronic Data Processing Test Practice Test

EDPT Spatial Reasoning and Patterns 5