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Square Series Beginner-Intermediate Worksheet: Focus on common variations practice Square Series BEGINNER INTERMEDIATE

Level up your Square Series skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: square series for competitive exams, how to solve square series, square series tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Square Series
Worksheet 4 of 10 (33% complete)

Question 1

Find the next term in the series: 21, 32, 45, 60, 77, 96, ?
This is a series of consecutive perfect squares minus 4: (5²-4), (6²-4)... Next term = 11² - 4 = 117

Question 2

Find the next term in the series: 1, 4, 9, 16, ?
This is a series of consecutive perfect squares: 1², 2², 3²... Next term = 5² = 25

Question 3

Find the next term in the series: 7, 14, 23, 34, 47, ?
This is a series of consecutive perfect squares minus 2: (3²-2), (4²-2)... Next term = 8² - 2 = 62

Question 4

Find the next term in the series: 37, 50, 65, 82, 101, ?
This is a series of consecutive perfect squares plus 1: (6²+1), (7²+1)... Next term = 11² + 1 = 122

Question 5

Find the next term in the series: 40, 53, 68, 85, 104, 125, ?
This is a series of consecutive perfect squares plus 4: (6²+4), (7²+4)... Next term = 12² + 4 = 148

Question 6

Find the next term in the series: 5, 10, 17, 26, ?
This is a series of consecutive perfect squares plus 1: (2²+1), (3²+1)... Next term = 6² + 1 = 37

Question 7

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

Question 8

Find the next term in the series: 4, 7, 12, 19, 28, 39, ?
This is a series of consecutive perfect squares plus 3: (1²+3), (2²+3)... Next term = 7² + 3 = 52

Question 9

Find the next term in the series: 7, 12, 19, 28, 39, ?
This is a series of consecutive perfect squares plus 3: (2²+3), (3²+3)... Next term = 7² + 3 = 52

Question 10

Find the next term in the series: 39, 52, 67, 84, ?
This is a series of consecutive perfect squares plus 3: (6²+3), (7²+3)... Next term = 10² + 3 = 103

Question 11

Find the next term in the series: 16, 25, 36, 49, 64, ?
This is a series of consecutive perfect squares: 4², 5², 6²... Next term = 9² = 81

Question 12

Find the next term in the series: 3, 8, 15, 24, 35, 48, ?
This is a series of consecutive perfect squares minus 1: (2²-1), (3²-1)... Next term = 8² - 1 = 63

Question 13

Find the next term in the series: 4, 9, 16, 25, 36, ?
This is a series of consecutive perfect squares: 2², 3², 4²... Next term = 7² = 49

Question 14

Find the next term in the series: 38, 51, 66, 83, 102, ?
This is a series of consecutive perfect squares plus 2: (6²+2), (7²+2)... Next term = 11² + 2 = 123

Question 15

Find the next term in the series: 6, 9, 14, 21, 30, 41, ?
This is a series of consecutive perfect squares plus 5: (1²+5), (2²+5)... Next term = 7² + 5 = 54

Question 16

Find the next term in the series: 16, 25, 36, 49, ?
This is a series of consecutive perfect squares: 4², 5², 6²... Next term = 8² = 64

Question 17

Find the next term in the series: 1, 4, 9, 16, 25, ?
This is a series of consecutive perfect squares: 1², 2², 3²... Next term = 6² = 36

Question 18

Find the next term in the series: 8, 15, 24, 35, 48, ?
This is a series of consecutive perfect squares minus 1: (3²-1), (4²-1)... Next term = 8² - 1 = 63

Question 19

Find the next term in the series: 6, 9, 14, 21, 30, 41, ?
This is a series of consecutive perfect squares plus 5: (1²+5), (2²+5)... Next term = 7² + 5 = 54

Question 20

Find the next term in the series: 4, 9, 16, 25, ?
This is a series of consecutive perfect squares: 2², 3², 4²... Next term = 6² = 36
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