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Number Series - Beginner-Intermediate Level: fraction series BEGINNER-INTERMEDIATE

This deep dive ★ worksheet contains 20 beginner-intermediate-level number series problems. Worksheet 11 of 30 focuses on fraction series. Practice square series, cube series, fibonacci patterns with our step-by-step solutions. Difficulty: building on fundamentals with moderate challenges. Recommended for developing learners.

📝 Worksheet 11 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
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Worksheet 11 of 30 (36% complete)

Question 1

Find the next term in the series: 8, 10, 14, 20, 28, 38, ?
The differences between terms increase by 2 each time. Last difference was 10, next difference is 12, so next term = 38 + 12 = 50
difference, pattern

Question 2

Find the next term in the series: 24, 61, 122, 213, ?
This is a series of consecutive perfect cubes minus 3: (3³-3), (4³-3)... Next term = 7³ - 3 = 340
perfect, cubes

Question 3

Find the next term in the series: 12, 14, 18, 24, 32, ?
The differences between terms increase by 2 each time. Last difference was 8, next difference is 10, so next term = 32 + 10 = 42
difference, pattern

Question 4

Find the next term in the series: 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 5

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

Question 6

Find the next term in the series: 36, 49, 64, 81, 100, ?
This is a series of consecutive perfect squares: 6², 7², 8²... Next term = 11² = 121
perfect, squares

Question 7

Find the next term in the series: 11, 13, 17, 19, 23, ?
This is a series of consecutive prime numbers. The next prime after 23 is 29
prime, numbers

Question 8

Find the next term in the series: 8, 9, 11, 14, 18, 23, ?
The differences between terms increase by 1 each time. Last difference was 5, next difference is 6, so next term = 23 + 6 = 29
difference, pattern

Question 9

Find the next term in the series: 353, 363, 373, 383, 393, ?
This is a series of palindromic numbers (numbers that read the same forwards and backwards). The next palindrome after 393 is 404
palindrome, numbers

Question 10

Find the next term in the series: 9, 14, 24, 44, 84, ?
Each term follows: (previous term × 2) - 4. Next term = (84 × 2) - 4 = 164
multiplication, addition

Question 11

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

Question 12

Find the next term in the series: 2, 4, 8, 16, 32, 64, ?
This is an exponential series with base 2: 2^1, 2^2, 2^3... Next term = 2^7 = 128
exponential, growth

Question 13

Find the next term in the series: 5, 7, 12, 19, 31, ?
Each term is the sum of the previous two terms. Next term = 31 + 19 = 50
fibonacci, recursive

Question 14

Find the next term in the series: 8, 18, 38, 78, 158, 318, ?
Each term follows: (previous term × 2) + 2. Next term = (318 × 2) + 2 = 638
multiplication, addition

Question 15

Find the next term in the series: 4/5, 4/6, 4/7, 4/8, 4/9, 4/10, ?
The denominator increases by 1 each time while numerator remains 4. Next term = 4/11
fraction, pattern

Question 16

Find the next term in the series: 3, 7, 15, 31, 63, 127, ?
Each term follows: (previous term × 2) + 1. Next term = (127 × 2) + 1 = 255
multiplication, addition

Question 17

Find the next term in the series: 12, 21, 32, 45, 60, ?
This is a series of consecutive perfect squares minus 4: (4²-4), (5²-4)... Next term = 9² - 4 = 77
perfect, squares

Question 18

Find the next term in the series: 7, 16, 12, 21, 17, 26, 22, 31, ?
Two alternating arithmetic series: First: +5, Second: +5. Next follows second pattern: 22 + 5 = 27
alternating, arithmetic

Question 19

Find the next term in the series: 2, 7, 6, 14, 18, 28, 54, 56, ?
Two alternating geometric series: First: ×3, Second: ×2. Next follows second pattern: 54 × 2 = 108
alternating, arithmetic

Question 20

Find the next term in the series: 2, 6, 24, 120, ?
This is a factorial series: 2!, 3!, 4!... Next term = 6! = 720
factorial, growth
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