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Number Patterns

Secondary 1 practice

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Number Patterns practice questions

Secondary 1 topics, the foundation the O-Level Mathematics 4052 syllabus builds on. Every question below has a full worked solution.

When a student gets a question wrong in Math Amigo, it does not show the answer straight away. It reads the working, identifies the step that went wrong, and asks a question that points at the correction. The worked solution is there once a genuine attempt has been made.

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Read the Number Patterns study notes: the method, worked examples and the mistakes that cost marks. Free, no account.

What this topic covers

Worked examples

Example 1

Find the next term: 243,81,27,9,3,…243, 81, 27, 9, 3, \ldots
Show the worked solution
  • 243,81,27,9,3,…243, 81, 27, 9, 3, \ldots
  • Each term is divided by 3\text{Each term is divided by } 3
  • Next term=3÷3\text{Next term} = 3 \div 3
  • =1= 1

Answer: 11

Example 2

Given Tn=7n−1T_n = 7n - 1, find T8−T3T_{8} - T_{3}.
Show the worked solution
  • T8=7(8)−1T_{8} = 7(8) - 1
  • =55= 55
  • T3=7(3)−1T_{3} = 7(3) - 1
  • =20= 20
  • T8−T3=55−20T_{8} - T_{3} = 55 - 20
  • =35= 35

Answer: 3535

Example 3

Find TnT_n for the sequence 22,17,12,7,2,…22, 17, 12, 7, 2, \ldots
Show the worked solution
  • 22,17,12,7,2,…22, 17, 12, 7, 2, \ldots
  • Common difference d=17−22=−5\text{Common difference } d = 17 - 22 = -5
  • Tn=−5n+T0T_n = -5n + T_0
  • T0=T1−(−5)=22+5=27T_0 = T_1 - (-5) = 22 + 5 = 27
  • Tn=−5n+27T_n = -5n + 27

Answer: −5n+27-5n+27

Questions parents ask

Is it really free?

The free plan is permanent and does not ask for a card. It has daily limits on the AI feedback, and the paid plans lift them.

Which syllabus does this follow?

O-Level Mathematics (4052), for Singapore secondary students. Math Amigo covers Secondary 1 to 4, both O-Level Mathematics and Additional Mathematics.

Will it just show my child the answer?

No. On a wrong answer it looks at the working, points to the step that went wrong, and asks a question that helps the student find the correction. The full worked solution is available after a genuine attempt.

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