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Square Series: Worksheet 6 - Intermediate-Advanced Practice Square Series INTERMEDIATE ADVANCED

Ready to master Square Series? This timed practice ⚡ worksheet (6/10) presents 20 intermediate-advanced-level challenges. Focus area: speed building. Learn to solve square series tricks, handle square series shortcut methods, and perfect square series bank exam questions with our step-by-step solutions.

📝 Worksheet 6 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Square Series
Worksheet 6 of 10 (55% complete)

Question 1

Find the next term in the series: 3, 8, 15, 24, ?
This is a series of consecutive perfect squares minus 1: (2²-1), (3²-1)... Next term = 6² - 1 = 35

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: 27, 38, 51, 66, 83, 102, ?
This is a series of consecutive perfect squares plus 2: (5²+2), (6²+2)... Next term = 11² + 2 = 123

Question 4

Find the next term in the series: 2, 5, 10, 17, ?
This is a series of consecutive perfect squares plus 1: (1²+1), (2²+1)... Next term = 5² + 1 = 26

Question 5

Find the next term in the series: 32, 45, 60, 77, 96, 117, ?
This is a series of consecutive perfect squares minus 4: (6²-4), (7²-4)... Next term = 12² - 4 = 140

Question 6

Find the next term in the series: 20, 31, 44, 59, 76, ?
This is a series of consecutive perfect squares minus 5: (5²-5), (6²-5)... Next term = 10² - 5 = 95

Question 7

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 8

Find the next term in the series: 11, 20, 31, 44, 59, ?
This is a series of consecutive perfect squares minus 5: (4²-5), (5²-5)... Next term = 9² - 5 = 76

Question 9

Find the next term in the series: 4, 9, 16, 25, 36, 49, ?
This is a series of consecutive perfect squares: 2², 3², 4²... Next term = 8² = 64

Question 10

Find the next term in the series: 29, 40, 53, 68, ?
This is a series of consecutive perfect squares plus 4: (5²+4), (6²+4)... Next term = 9² + 4 = 85

Question 11

Find the next term in the series: 34, 47, 62, 79, 98, 119, ?
This is a series of consecutive perfect squares minus 2: (6²-2), (7²-2)... Next term = 12² - 2 = 142

Question 12

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 13

Find the next term in the series: -2, 1, 6, 13, 22, ?
This is a series of consecutive perfect squares minus 3: (1²-3), (2²-3)... Next term = 6² - 3 = 33

Question 14

Find the next term in the series: -1, 2, 7, 14, 23, 34, ?
This is a series of consecutive perfect squares minus 2: (1²-2), (2²-2)... Next term = 7² - 2 = 47

Question 15

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 16

Find the next term in the series: 9, 16, 25, 36, 49, 64, ?
This is a series of consecutive perfect squares: 3², 4², 5²... Next term = 9² = 81

Question 17

Find the next term in the series: 20, 31, 44, 59, ?
This is a series of consecutive perfect squares minus 5: (5²-5), (6²-5)... Next term = 9² - 5 = 76

Question 18

Find the next term in the series: 25, 36, 49, 64, ?
This is a series of consecutive perfect squares: 5², 6², 7²... Next term = 9² = 81

Question 19

Find the next term in the series: 34, 47, 62, 79, 98, ?
This is a series of consecutive perfect squares minus 2: (6²-2), (7²-2)... Next term = 11² - 2 = 119

Question 20

Find the next term in the series: 21, 30, 41, 54, ?
This is a series of consecutive perfect squares plus 5: (4²+5), (5²+5)... Next term = 8² + 5 = 69
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