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Master Element Count Progression - Beginner Level Problems Element Count Progression BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Element Count Progression. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing element count progression practice, element count progression for competitive exams, and how to solve element count progression.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Element Count Progression
Worksheet 3 of 10 (22% complete)

Question 1

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 6 triangles
- Figure 2: 5 triangles
- Figure 3: 4 triangles
- Figure 4: 3 triangles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = -1
- Fig 3 - Fig 2 = -1
- Fig 4 - Fig 3 = -1

RULE HYPOTHESIS:
The number of triangles is decreasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: -1 ✓

APPLICATION:
Figure 5 should have 3 -1 = 2 triangles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 2

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 2 circles
- Figure 2: 3 circles
- Figure 3: 4 circles
- Figure 4: 5 circles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = 1
- Fig 3 - Fig 2 = 1
- Fig 4 - Fig 3 = 1

RULE HYPOTHESIS:
The number of circles is increasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: +1 ✓

APPLICATION:
Figure 5 should have 5 +1 = 6 circles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 3

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 2 circles
- Figure 2: 3 circles
- Figure 3: 4 circles
- Figure 4: 5 circles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = 1
- Fig 3 - Fig 2 = 1
- Fig 4 - Fig 3 = 1

RULE HYPOTHESIS:
The number of circles is increasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: +1 ✓

APPLICATION:
Figure 5 should have 5 +1 = 6 circles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 4

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 6 squares
- Figure 2: 5 squares
- Figure 3: 4 squares
- Figure 4: 3 squares

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = -1
- Fig 3 - Fig 2 = -1
- Fig 4 - Fig 3 = -1

RULE HYPOTHESIS:
The number of squares is decreasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: -1 ✓

APPLICATION:
Figure 5 should have 3 -1 = 2 squares

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 5

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 2 squares
- Figure 2: 3 squares
- Figure 3: 4 squares
- Figure 4: 5 squares

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = 1
- Fig 3 - Fig 2 = 1
- Fig 4 - Fig 3 = 1

RULE HYPOTHESIS:
The number of squares is increasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: +1 ✓

APPLICATION:
Figure 5 should have 5 +1 = 6 squares

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 6

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 6 triangles
- Figure 2: 5 triangles
- Figure 3: 4 triangles
- Figure 4: 3 triangles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = -1
- Fig 3 - Fig 2 = -1
- Fig 4 - Fig 3 = -1

RULE HYPOTHESIS:
The number of triangles is decreasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: -1 ✓

APPLICATION:
Figure 5 should have 3 -1 = 2 triangles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 7

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 2 triangles
- Figure 2: 3 triangles
- Figure 3: 4 triangles
- Figure 4: 5 triangles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = 1
- Fig 3 - Fig 2 = 1
- Fig 4 - Fig 3 = 1

RULE HYPOTHESIS:
The number of triangles is increasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: +1 ✓

APPLICATION:
Figure 5 should have 5 +1 = 6 triangles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 8

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 2 triangles
- Figure 2: 3 triangles
- Figure 3: 4 triangles
- Figure 4: 5 triangles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = 1
- Fig 3 - Fig 2 = 1
- Fig 4 - Fig 3 = 1

RULE HYPOTHESIS:
The number of triangles is increasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: +1 ✓

APPLICATION:
Figure 5 should have 5 +1 = 6 triangles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 9

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 2 circles
- Figure 2: 3 circles
- Figure 3: 4 circles
- Figure 4: 5 circles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = 1
- Fig 3 - Fig 2 = 1
- Fig 4 - Fig 3 = 1

RULE HYPOTHESIS:
The number of circles is increasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: +1 ✓

APPLICATION:
Figure 5 should have 5 +1 = 6 circles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 10

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 6 circles
- Figure 2: 5 circles
- Figure 3: 4 circles
- Figure 4: 3 circles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = -1
- Fig 3 - Fig 2 = -1
- Fig 4 - Fig 3 = -1

RULE HYPOTHESIS:
The number of circles is decreasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: -1 ✓

APPLICATION:
Figure 5 should have 3 -1 = 2 circles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 11

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 6 circles
- Figure 2: 5 circles
- Figure 3: 4 circles
- Figure 4: 3 circles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = -1
- Fig 3 - Fig 2 = -1
- Fig 4 - Fig 3 = -1

RULE HYPOTHESIS:
The number of circles is decreasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: -1 ✓

APPLICATION:
Figure 5 should have 3 -1 = 2 circles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 12

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 6 squares
- Figure 2: 5 squares
- Figure 3: 4 squares
- Figure 4: 3 squares

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = -1
- Fig 3 - Fig 2 = -1
- Fig 4 - Fig 3 = -1

RULE HYPOTHESIS:
The number of squares is decreasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: -1 ✓

APPLICATION:
Figure 5 should have 3 -1 = 2 squares

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 13

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 6 triangles
- Figure 2: 5 triangles
- Figure 3: 4 triangles
- Figure 4: 3 triangles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = -1
- Fig 3 - Fig 2 = -1
- Fig 4 - Fig 3 = -1

RULE HYPOTHESIS:
The number of triangles is decreasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: -1 ✓

APPLICATION:
Figure 5 should have 3 -1 = 2 triangles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 14

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 2 squares
- Figure 2: 3 squares
- Figure 3: 4 squares
- Figure 4: 5 squares

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = 1
- Fig 3 - Fig 2 = 1
- Fig 4 - Fig 3 = 1

RULE HYPOTHESIS:
The number of squares is increasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: +1 ✓

APPLICATION:
Figure 5 should have 5 +1 = 6 squares

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 15

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 2 triangles
- Figure 2: 3 triangles
- Figure 3: 4 triangles
- Figure 4: 5 triangles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = 1
- Fig 3 - Fig 2 = 1
- Fig 4 - Fig 3 = 1

RULE HYPOTHESIS:
The number of triangles is increasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: +1 ✓

APPLICATION:
Figure 5 should have 5 +1 = 6 triangles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 16

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 6 triangles
- Figure 2: 5 triangles
- Figure 3: 4 triangles
- Figure 4: 3 triangles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = -1
- Fig 3 - Fig 2 = -1
- Fig 4 - Fig 3 = -1

RULE HYPOTHESIS:
The number of triangles is decreasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: -1 ✓

APPLICATION:
Figure 5 should have 3 -1 = 2 triangles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 17

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 2 triangles
- Figure 2: 3 triangles
- Figure 3: 4 triangles
- Figure 4: 5 triangles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = 1
- Fig 3 - Fig 2 = 1
- Fig 4 - Fig 3 = 1

RULE HYPOTHESIS:
The number of triangles is increasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: +1 ✓

APPLICATION:
Figure 5 should have 5 +1 = 6 triangles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 18

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 6 squares
- Figure 2: 5 squares
- Figure 3: 4 squares
- Figure 4: 3 squares

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = -1
- Fig 3 - Fig 2 = -1
- Fig 4 - Fig 3 = -1

RULE HYPOTHESIS:
The number of squares is decreasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: -1 ✓

APPLICATION:
Figure 5 should have 3 -1 = 2 squares

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 19

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 2 circles
- Figure 2: 3 circles
- Figure 3: 4 circles
- Figure 4: 5 circles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = 1
- Fig 3 - Fig 2 = 1
- Fig 4 - Fig 3 = 1

RULE HYPOTHESIS:
The number of circles is increasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: +1 ✓

APPLICATION:
Figure 5 should have 5 +1 = 6 circles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early

Question 20

Detect the rule governing the number of elements: Figure 1: Figure 2: Figure 3: Figure 4: What comes next?
PATTERN ANALYSIS:
Step 1: Count elements in each figure
- Figure 1: 6 triangles
- Figure 2: 5 triangles
- Figure 3: 4 triangles
- Figure 4: 3 triangles

Step 2: Calculate differences between consecutive figures
- Fig 2 - Fig 1 = -1
- Fig 3 - Fig 2 = -1
- Fig 4 - Fig 3 = -1

RULE HYPOTHESIS:
The number of triangles is decreasing by 1 in each step

VERIFICATION:
All consecutive differences are consistent: -1 ✓

APPLICATION:
Figure 5 should have 3 -1 = 2 triangles

COMMON MISTAKES TO AVOID:
- Miscounting elements in figures
- Not checking all consecutive differences
- Assuming non-linear progressions too early
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