Question 1
What is the next term in the sequence: 3, 6, 12, 13, 26, ?
Pattern: +3 → *2 → +1 → *2 repeating. Next: 52
Logical Sequence - Intermediate-Advanced Level: logical flow INTERMEDIATE-ADVANCED
Strategic expert challenge ★ for logical sequence: 20 intermediate-advanced-level problems. Worksheet 19 of 30 - Focus: logical flow. Develop expertise in operation order, conditional sequences, action sequences with step-by-step solutions. Ideal for advanced developing learners targeting advanced concepts with increasing complexity.
What you'll learn in this worksheet:
- Achieve proficiency in operation order by completing this worksheet
- Develop strong conditional sequences skills with practical problems
- Improve your logical sequence solving speed through expert challenge ★
- Gain confidence in identifying action sequences patterns
- Master real-world applications of logical flow
Your progress through Logical Sequence
Worksheet 19 of 30 (63% complete)
Question 2
What is the next matrix in this sequence?
[1, 2]
[3, 4]
↓
? (Choose the correct 2x2 matrix)
Pattern: Numbers increase by 1 in row-major order
Next matrix:
[5, 6]
[7, 8]
Next matrix:
[5, 6]
[7, 8]
Question 3
What is the next term in the sequence: 4, 7, 14, 15, 30, ?
Pattern: +3 → *2 → +1 → *2 repeating. Next: 60
Question 4
What is the next term in this fraction sequence: 1/4, 3/12, 9/36, 27/108, ?
Multiply numerator and denominator by 3 each time
Sequence: 1/4, 3/12, 9/36, 27/108
Next: 81/324
Sequence: 1/4, 3/12, 9/36, 27/108
Next: 81/324
Question 5
What is the next letter in the sequence: A, E, I, O, ?
Vowels in order
Question 6
What is the next term in the sequence: 4, 9, 16, 25, 36, ?
Perfect squares starting from 2²: 4, 9, 16, 25, 36, 49
Question 7
What is the next term in the prime sequence: 2, 3, 5, 7, ?
Consecutive prime numbers: 2, 3, 5, 7, 11
Question 8
Complete this number pyramid (each number is sum of the two below it):
30
14 16
7 7 9
5 2 5 4
What is the top number?
Working from bottom up:
Level 2: 7, 7, 9
Level 3: 14, 16
Top: 30
Level 2: 7, 7, 9
Level 3: 14, 16
Top: 30
Question 9
What is the next term in this fraction sequence: 1/3, 3/9, 9/27, 27/81, ?
Multiply numerator and denominator by 3 each time
Sequence: 1/3, 3/9, 9/27, 27/81
Next: 81/243
Sequence: 1/3, 3/9, 9/27, 27/81
Next: 81/243
Question 10
Complete this number pyramid (each number is product of the two below it):
432
24 18
4 6 3
2 2 3 1
What is the top number?
Working from bottom up:
Level 2: 4, 6, 3
Level 3: 24, 18
Top: 432
Level 2: 4, 6, 3
Level 3: 24, 18
Top: 432
Question 11
Complete this number pyramid (each number is sum of the two below it):
29
14 15
7 7 8
3 4 3 5
What is the top number?
Working from bottom up:
Level 2: 7, 7, 8
Level 3: 14, 15
Top: 29
Level 2: 7, 7, 8
Level 3: 14, 15
Top: 29
Question 12
Complete this number pyramid (each number is sum of the two below it):
22
10 12
6 4 8
5 1 3 5
What is the top number?
Working from bottom up:
Level 2: 6, 4, 8
Level 3: 10, 12
Top: 22
Level 2: 6, 4, 8
Level 3: 10, 12
Top: 22
Question 13
What is the next term in the sequence: 4, 9, 16, 25, 36, ?
Perfect squares starting from 2²: 4, 9, 16, 25, 36, 49
Question 14
What is the next letter in the sequence: A, E, I, O, ?
Vowels in order
Question 15
What is the next term in this alternating sequence: 1, 3, 5, 9, 9, 27, 13, 81, ?
Two interleaved sequences:
- Sequence A: 1, 5, 9, 13, 17 (add 4 each time)
- Sequence B: 3, 9, 27, 81, 243 (multiply by 3 each time)
Next term is from Sequence B: 243
- Sequence A: 1, 5, 9, 13, 17 (add 4 each time)
- Sequence B: 3, 9, 27, 81, 243 (multiply by 3 each time)
Next term is from Sequence B: 243
Question 16
What is the next matrix in this sequence?
[1, 1]
[2, 2]
↓
? (Choose the correct 2x2 matrix)
Pattern: Each row repeats the same number, increasing
Next matrix:
[3, 3]
[4, 4]
Next matrix:
[3, 3]
[4, 4]
Question 17
What is the next letter in the sequence: A, E, I, O, ?
Vowels in order
Question 18
What is the next term in the prime sequence: 5, 7, 11, 13, ?
Consecutive prime numbers: 5, 7, 11, 13, 17
Question 19
What is the next term in this alternating sequence: 2, 5, 5, 8, 8, 11, 11, 14, ?
Two interleaved sequences:
- Sequence A: 2, 5, 8, 11 (add 3 each time)
- Sequence B: 5, 8, 11, 14 (add 3 each time)
Next term is from Sequence B: 17
- Sequence A: 2, 5, 8, 11 (add 3 each time)
- Sequence B: 5, 8, 11, 14 (add 3 each time)
Next term is from Sequence B: 17
Question 20
What is the next term in the sequence: 9, 11, 13, 15, 17, ?
Arithmetic sequence with common difference 2: 9, 11, 13, 15, 17, 19
🎯 Stay focused! Worksheet 19 targets logical flow.