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Square Series: Worksheet 10 - Expert Practice Square Series EXPERT

Ready to master Square Series? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve square series reasoning tricks, handle fast square series solving, and perfect square series mastery with our step-by-step solutions.

📝 Worksheet 10 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Square Series
Worksheet 10 of 10 (100% complete)

Question 1

Find the next term in the series: 31, 44, 59, 76, 95, 116, ?
This is a series of consecutive perfect squares minus 5: (6²-5), (7²-5)... Next term = 12² - 5 = 139

Question 2

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 3

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 4

Find the next term in the series: 6, 11, 18, 27, 38, ?
This is a series of consecutive perfect squares plus 2: (2²+2), (3²+2)... Next term = 7² + 2 = 51

Question 5

Find the next term in the series: 12, 19, 28, 39, ?
This is a series of consecutive perfect squares plus 3: (3²+3), (4²+3)... Next term = 7² + 3 = 52

Question 6

Find the next term in the series: 5, 8, 13, 20, 29, 40, ?
This is a series of consecutive perfect squares plus 4: (1²+4), (2²+4)... Next term = 7² + 4 = 53

Question 7

Find the next term in the series: 24, 35, 48, 63, ?
This is a series of consecutive perfect squares minus 1: (5²-1), (6²-1)... Next term = 9² - 1 = 80

Question 8

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 9

Find the next term in the series: 36, 49, 64, 81, 100, 121, ?
This is a series of consecutive perfect squares: 6², 7², 8²... Next term = 12² = 144

Question 10

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

Question 11

Find the next term in the series: 22, 33, 46, 61, ?
This is a series of consecutive perfect squares minus 3: (5²-3), (6²-3)... Next term = 9² - 3 = 78

Question 12

Find the next term in the series: 21, 30, 41, 54, 69, ?
This is a series of consecutive perfect squares plus 5: (4²+5), (5²+5)... Next term = 9² + 5 = 86

Question 13

Find the next term in the series: 17, 26, 37, 50, ?
This is a series of consecutive perfect squares plus 1: (4²+1), (5²+1)... Next term = 8² + 1 = 65

Question 14

Find the next term in the series: 41, 54, 69, 86, 105, ?
This is a series of consecutive perfect squares plus 5: (6²+5), (7²+5)... Next term = 11² + 5 = 126

Question 15

Find the next term in the series: 30, 41, 54, 69, 86, 105, ?
This is a series of consecutive perfect squares plus 5: (5²+5), (6²+5)... Next term = 11² + 5 = 126

Question 16

Find the next term in the series: 14, 21, 30, 41, ?
This is a series of consecutive perfect squares plus 5: (3²+5), (4²+5)... Next term = 7² + 5 = 54

Question 17

Find the next term in the series: 14, 21, 30, 41, 54, ?
This is a series of consecutive perfect squares plus 5: (3²+5), (4²+5)... Next term = 8² + 5 = 69

Question 18

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 19

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 20

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
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