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Number Series - Expert Level: special number patterns EXPERT

Intensive progress check 🎯 drill: 20 expert-level number series questions. Worksheet 30 of 30 hones your special number patterns abilities. Practice arithmetic progression, geometric progression, square series under timed conditions. Best for expert-level students seeking challenging problems and time-bound practice.

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

What you'll learn in this worksheet:
Your progress through Number Series
Worksheet 30 of 30 (100% complete)

Question 1

Find the next term in the series: 12, 32, 92, 272, 812, ?
Each term follows: (previous term × 3) - 4. Next term = (812 × 3) - 4 = 2432
multiplication, addition

Question 2

Find the next term in the series: 8, 11, 15, 20, 26, ?
The differences between terms increase by 1 each time. Last difference was 6, next difference is 7, so next term = 26 + 7 = 33
difference, pattern

Question 3

Find the next term in the series: 1, 2, 6, 24, 120, ?
This is a factorial series: 1!, 2!, 3!... Next term = 6! = 720
factorial, growth

Question 4

Find the next term in the series: 5, 11, 7, 22, 9, 44, 11, 88, ?
Alternating series: First: +2, Second: ×2. Next follows second pattern: 11 × 2 = 22
alternating, arithmetic

Question 5

Find the next term in the series: 191, 202, 212, 222, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 222 is 232
palindrome, numbers

Question 6

Find the next term in the series: 8, 16, 32, 64, ?
This is an exponential series with base 2: 2^3, 2^4, 2^5... Next term = 2^7 = 128
exponential, growth

Question 7

Find the next term in the series: 79, 83, 89, 97, 101, ?
This is a series of consecutive prime numbers. The next prime after 101 is 103
prime, numbers

Question 8

Find the next term in the series: 2, 1, 0.5, 0.25, 0.12, ?
This is a geometric series with common ratio 0.5. Next term = 0.12 × 0.5 = 0.06
geometric, progression

Question 9

Find the next term in the series: 1/6, 2/6, 3/6, 4/6, 5/6, 6/6, ?
The numerators increase by 1 each time while denominator remains 6. Next term = 7/6
fraction, pattern

Question 10

Find the next term in the series: 11, 18, 27, 38, 51, 66, ?
This is a series of consecutive perfect squares plus 2: (3²+2), (4²+2)... Next term = 9² + 2 = 83
perfect, squares

Question 11

Find the next term in the series: 66, 127, 218, 345, 514, ?
This is a series of consecutive perfect cubes plus 2: (4³+2), (5³+2)... Next term = 9³ + 2 = 731
perfect, cubes

Question 12

Find the next term in the series: 9, 16, 25, 36, 49, ?
This is a series of consecutive perfect squares: 3², 4², 5²... Next term = 8² = 64
perfect, squares

Question 13

Find the next term in the series: 7, 17, 37, 77, 157, ?
Each term follows: (previous term × 2) + 3. Next term = (157 × 2) + 3 = 317
multiplication, addition

Question 14

Find the next term in the series: 22, 33, 44, 55, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 55 is 66
palindrome, numbers

Question 15

Find the next term in the series: 2/5, 3/6, 4/7, 5/8, ?
Both numerator and denominator increase by 1 each time. Next term = 6/9
fraction, pattern

Question 16

Find the next term in the series: 151, 161, 171, 181, 191, 202, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 202 is 212
palindrome, numbers

Question 17

Find the next term in the series: 8, 27, 64, 125, ?
This is a series of consecutive perfect cubes: 2³, 3³, 4³... Next term = 6³ = 216
perfect, cubes

Question 18

Find the next term in the series: 12, 15, 19, 24, 30, ?
The differences between terms increase by 1 each time. Last difference was 6, next difference is 7, so next term = 30 + 7 = 37
difference, pattern

Question 19

Find the next term in the series: 2/4, 3/5, 4/6, 5/7, 6/8, ?
Both numerator and denominator increase by 1 each time. Next term = 7/9
fraction, pattern

Question 20

Find the next term in the series: 3, 9, 12, 21, 33, ?
Each term is the sum of the previous two terms. Next term = 33 + 21 = 54
fibonacci, recursive
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