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Matrix Reasoning 14 - Pie Wedge Fractions

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Each circle is filled a quarter at a time. Find how the filled portion cycles across rows and columns, and circle the piece that completes the grid.

Practice and check

Worked example

Apply the same row and column rule to the missing cell. Compare each option with the required features.

1. C Row 1: 0 → 1/4 → 1/2 Row 2: 1/2 → 3/4 → 0 Row 3: 0 → 1/4 → 1/2 Column 3: 1/2 → 0 → 1/2

  1. Row 1: 0 → 1/4 → 1/2
  2. Row 2: 1/2 → 3/4 → 0
  3. Row 3: 0 → 1/4 → 1/2
  4. Column 3: 1/2 → 0 → 1/2
Check answers after trying

1: C 2: A 3: D 4: B

Printed order

Solution diagram
Solution diagram

Why this answer

  1. 1. C Row 1: 0 → 1/4 → 1/2 Row 2: 1/2 → 3/4 → 0 Row 3: 0 → 1/4 → 1/2 Column 3: 1/2 → 0 → 1/2
  2. 2. A Row 1: 1/4 → 0 → 3/4 Row 2: 1/2 → 1/4 → 0 Row 3: 3/4 → 1/2 → 1/4 Column 3: 3/4 → 0 → 1/4
  3. 3. D Row 1: 1/2 → 3/4 → 0 Row 2: 1/4 → 1/2 → 3/4 Row 3: 0 → 1/4 → 1/2 Column 3: 0 → 3/4 → 1/2
  4. 4. B Row 1: 3/4 → 1/4 → 3/4 Row 2: 0 → 1/2 → 0 Row 3: 1/4 → 3/4 → 1/4 Column 3: 3/4 → 0 → 1/4

Next worksheet: Matrix Reasoning 15 - Flag Mirror States

Shared practice guide

Tips for Parents

▸ What is on the sheet Each circle is filled a quarter at a time. Find how the filled portion cycles across rows and columns, and circle the piece that completes the grid. Compare the amount shaded, not the angle of the wedge. The four states cycle through 0, 1/4, 1/2 and 3/4. ▸ Try one example 1. C Row 1: 0 → 1/4 → 1/2 Row 2: 1/2 → 3/4 → 0 Row 3: 0 → 1/4 → 1/2 Column 3: 1/2 → 0 → 1/2 ▸ Check a difficulty Compare the amount shaded, not the angle of the wedge. The four states cycle through 0, 1/4, 1/2 and 3/4. Apply the same row and column rule to the missing cell. Compare each option with the required features. ▸ Choose the next step 2. A Row 1: 1/4 → 0 → 3/4 Row 2: 1/2 → 1/4 → 0 Row 3: 3/4 → 1/2 → 1/4 Column 3: 3/4 → 0 → 1/4

What This Worksheet Builds

Compare the amount shaded, not the angle of the wedge. The four states cycle through 0, 1/4, 1/2 and 3/4.

Next Step

Apply the same row and column rule to the missing cell. Compare each option with the required features.