Reasoning · Grade 2-2 Various Patterns and Rules

Problem

Find the missing or nth shape in a pattern

Two rows of figures each follow a rule and each has one blank. In (1) six circles of 8 wedges have a contiguous shaded block that grows and turns, and the 5th is blank. In (2) a green group shifts by a fixed step across 3×3 grids, and the 6th is blank. Fill the blanks.
Your answer
How to solve
Strategy Look for a Pattern — Read each shape in order and Look for a Pattern in how the colored region changes; Draw a Diagram / Visualize Spatial Relationships to picture the next step of the rotation or shift and fill the blank.
1STEP 1

Part (1): count the shaded wedges in order

Each circle gains one more shaded wedge and loses one white.

1, 2, 3, 4, 5, 6
2STEP 2

Part (1): place the 5 shaded wedges

So circle 5 takes 5 wedges in a block and leaves 3 white.

8 - 5 = 3 unshaded wedges
3STEP 3

Part (2): read how the green group shifts

Across the grids the green group slides a fixed step each time.

4STEP 4

Part (2): draw grid 6

Grid 6 takes one more shift plus a triangle in the centre.

Answer
(1) shade 5 of the 8 wedges in one block, leaving 3 (2) shift the green group one more step and mark the centre with a triangle
Part (1): the shaded counts 1,2,3,4,5,6 increase by exactly one and never exceed 8 wedges, so 5 shaded (3 white) for the middle circle fits perfectly. Part (2): extending the same shift keeps the green group inside the 3x3 grid and continues the mark's alternation, so grid 6 stays a valid 9-cell figure.
Takeaway

Just count and watch the colored part move one step each time — then keep the same move going to fill the blank shape. Grade 4 pattern eyes!

  • Part (1): count the shaded wedges in order
  • Part (1): place the 5 shaded wedges
  • Part (2): read how the green group shifts
  • Part (2): draw grid 6