About Patterns & Sequences — Class 6 IB

Recognize, describe, and extend number patterns and geometric sequences. This topic is part of the IB Class 6 mathematics syllabus (chapter: Unit 10). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

Patterns & Sequences — solved examples for Class 6 IB

Practice questions on Patterns & Sequences

1. Q1.easy

   Find the next term: 5, 10, 15, 20, ___.

   1. A)22
   2. B)24
   3. C)25
   4. D)30
   Show answer

   Answer: 25

   Hint: Counting in fives.

2. Q2.easy

   What is the rule for: 1, 3, 5, 7, 9?

   1. A)Add 1
   2. B)Add 2
   3. C)Add 3
   4. D)Multiply by 2
   Show answer

   Answer: Add 2

   Hint: Find the common difference.

3. Q3.easy

   What comes next: 64, 32, 16, 8, ___?

   1. A)2
   2. B)4
   3. C)6
   4. D)0
   Show answer

   Answer: 4

   Hint: Each term is halved.

4. Q4.medium

   Find the nth term formula for: 4, 7, 10, 13, 16.

   1. A)$3n + 1$
   2. B)$3n - 1$
   3. C)$4n + 3$
   4. D)$n + 3$
   Show answer

   Answer: $3n + 1$

   Hint: Common difference = 3. First term = 4 = 3(1) + 1.

5. Q5.medium

   A matchstick pattern: Shape 1 uses 5, Shape 2 uses 9, Shape 3 uses 13. How many for Shape 7?

   1. A)25
   2. B)27
   3. C)29
   4. D)33
   Show answer

   Answer: 29

   Hint: Rule: 4n + 1.

6. Q6.medium

   What is the 15th term of the arithmetic sequence 2, 7, 12, 17, ...?

   1. A)67
   2. B)72
   3. C)77
   4. D)82
   Show answer

   Answer: 72

   Hint: a_n = 2 + 5(n−1).

7. Q7.hard

   Find the sum of the first 20 terms of: 1, 2, 3, 4, ..., 20.

   1. A)190
   2. B)200
   3. C)210
   4. D)220
   Show answer

   Answer: 210

   Hint: Sum = n(n+1)/2.

8. Q8.hard

   A geometric sequence has a₁ = 5 and a₄ = 135. Find the common ratio.

   1. A)2
   2. B)3
   3. C)5
   4. D)9
   Show answer

   Answer: 3

   Hint: a₄ = a₁ × r³. So 135 = 5r³.

9. Q9.hard

   The sequence 2, 5, 10, 17, 26, ... has nth term $n^2 + 1$. Which term equals 170?

   1. A)12th
   2. B)13th
   3. C)14th
   4. D)15th
   Show answer

   Answer: 13th

   Hint: n² + 1 = 170, so n² = 169.

These are 9 of the 60 questions available for Patterns & Sequences. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.