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Square Series - Intermediate Level: tricky scenarios handling Square Series INTERMEDIATE

This expert challenge 📈 worksheet focuses on Square Series - a key topic in Number Series. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve square series, square series tricks, and square series shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Square Series
Worksheet 5 of 10 (44% complete)

Question 1

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 2

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 3

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

Question 4

Find the next term in the series: 35, 48, 63, 80, ?
This is a series of consecutive perfect squares minus 1: (6²-1), (7²-1)... Next term = 10² - 1 = 99

Question 5

Find the next term in the series: 25, 36, 49, 64, 81, ?
This is a series of consecutive perfect squares: 5², 6², 7²... Next term = 10² = 100

Question 6

Find the next term in the series: 29, 40, 53, 68, 85, ?
This is a series of consecutive perfect squares plus 4: (5²+4), (6²+4)... Next term = 10² + 4 = 104

Question 7

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 8

Find the next term in the series: 22, 33, 46, 61, 78, ?
This is a series of consecutive perfect squares minus 3: (5²-3), (6²-3)... Next term = 10² - 3 = 97

Question 9

Find the next term in the series: 13, 20, 29, 40, 53, 68, ?
This is a series of consecutive perfect squares plus 4: (3²+4), (4²+4)... Next term = 9² + 4 = 85

Question 10

Find the next term in the series: 19, 28, 39, 52, 67, ?
This is a series of consecutive perfect squares plus 3: (4²+3), (5²+3)... Next term = 9² + 3 = 84

Question 11

Find the next term in the series: 0, 3, 8, 15, 24, ?
This is a series of consecutive perfect squares minus 1: (1²-1), (2²-1)... Next term = 6² - 1 = 35

Question 12

Find the next term in the series: 12, 19, 28, 39, 52, ?
This is a series of consecutive perfect squares plus 3: (3²+3), (4²+3)... Next term = 8² + 3 = 67

Question 13

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 14

Find the next term in the series: 6, 13, 22, 33, ?
This is a series of consecutive perfect squares minus 3: (3²-3), (4²-3)... Next term = 7² - 3 = 46

Question 15

Find the next term in the series: 29, 40, 53, 68, 85, 104, ?
This is a series of consecutive perfect squares plus 4: (5²+4), (6²+4)... Next term = 11² + 4 = 125

Question 16

Find the next term in the series: 14, 23, 34, 47, 62, ?
This is a series of consecutive perfect squares minus 2: (4²-2), (5²-2)... Next term = 9² - 2 = 79

Question 17

Find the next term in the series: 9, 14, 21, 30, 41, 54, ?
This is a series of consecutive perfect squares plus 5: (2²+5), (3²+5)... Next term = 8² + 5 = 69

Question 18

Find the next term in the series: 20, 29, 40, 53, ?
This is a series of consecutive perfect squares plus 4: (4²+4), (5²+4)... Next term = 8² + 4 = 68

Question 19

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 20

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
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