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Number Series - Advanced Level: decimal series ADVANCED

Boost your speed and accuracy with this high difficulty set 📈 worksheet. Worksheet 25 of 30 presents 20 advanced-level number series problems. Focus on decimal series while practicing square series, cube series, fibonacci patterns. Difficulty: complex scenarios and multi-step problems. Perfect for advanced test takers.

📝 Worksheet 25 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 25 of 30 (83% complete)

Question 1

Find the next term in the series: 202, 212, 222, 232, 242, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 242 is 252
palindrome, numbers

Question 2

Find the next term in the series: 171, 181, 191, 202, 212, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 212 is 222
palindrome, numbers

Question 3

Find the next term in the series: 11, 20, 31, 44, 59, 76, ?
This is a series of consecutive perfect squares minus 5: (4²-5), (5²-5)... Next term = 10² - 5 = 95
perfect, squares

Question 4

Find the next term in the series: 323, 333, 343, 353, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 353 is 363
palindrome, numbers

Question 5

Find the next term in the series: 2/3, 3/4, 4/5, 5/6, 6/7, ?
Both numerator and denominator increase by 1 each time. Next term = 7/8
fraction, pattern

Question 6

Find the next term in the series: 13, 39, 19, 57, 28, ?
Alternating series: ×3, ÷2. Next operation gives 84
alternating, operations

Question 7

Find the next term in the series: 3, 6, 12, 24, ?
This is a geometric series with common ratio 2. Next term = 24 × 2 = 48
geometric, progression

Question 8

Find the next term in the series: 13, 17, 21, 25, ?
This is an arithmetic series with common difference 4. Next term = 25 + 4 = 29
arithmetic, progression

Question 9

Find the next term in the series: 11, 30, 67, 128, 219, ?
This is a series of consecutive perfect cubes plus 3: (2³+3), (3³+3)... Next term = 7³ + 3 = 346
perfect, cubes

Question 10

Find the next term in the series: 272, 282, 292, 303, 313, 323, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 323 is 333
palindrome, numbers

Question 11

Find the next term in the series: 14, 17, 23, 32, 44, ?
The differences between terms increase by 3 each time. Last difference was 12, next difference is 15, so next term = 44 + 15 = 59
difference, pattern

Question 12

Find the next term in the series: 4, 16, 64, 256, 1024, 4096, ?
This is an exponential series with base 4: 4^1, 4^2, 4^3... Next term = 4^7 = 16384
exponential, growth

Question 13

Find the next term in the series: 4, 18, 326, 106278, 11295013286, ?
Each term follows: (previous term)^2 + 2. Next term = 11295013286^2 + 2 = 127577325130916517798
multiplication, addition

Question 14

Find the next term in the series: 9, 15, 13, 45, 17, 135, 21, 405, ?
Alternating series: First: +4, Second: ×3. Next follows second pattern: 21 × 3 = 63
alternating, arithmetic

Question 15

Find the next term in the series: 3/3, 3/4, 3/5, 3/6, 3/7, ?
The denominator increases by 1 each time while numerator remains 3. Next term = 3/8
fraction, pattern

Question 16

Find the next term in the series: 5, 15, 12, 36, 33, 99, 96, ?
Alternating series: ×3, -3. Next operation gives 288
alternating, operations

Question 17

Find the next term in the series: 62, 123, 214, 341, 510, ?
This is a series of consecutive perfect cubes minus 2: (4³-2), (5³-2)... Next term = 9³ - 2 = 727
perfect, cubes

Question 18

Find the next term in the series: 15, 16, 18, 21, 25, ?
The differences between terms increase by 1 each time. Last difference was 4, next difference is 5, so next term = 25 + 5 = 30
difference, pattern

Question 19

Find the next term in the series: 12, 15, 20, 27, 36, 47, ?
The differences between terms increase by 2 each time. Last difference was 11, next difference is 13, so next term = 47 + 13 = 60
difference, pattern

Question 20

Find the next term in the series: 2/6, 2/7, 2/8, 2/9, ?
The denominator increases by 1 each time while numerator remains 2. Next term = 2/10
fraction, pattern
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