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SparkEd Math offers 60+ practice questions for Patterns in Mathematics across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

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SparkEd Math uses visual step-by-step solutions for every Patterns in Mathematics problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Patterns in Mathematics content aligned with the CBSE syllabus?

Yes, all Patterns in Mathematics questions and lessons on SparkEd Math are fully aligned with the Central Board of Secondary Education (CBSE) syllabus for Class 6. The content follows the official curriculum structure and exam pattern.

Patterns in Mathematics — Class 6 CBSE (2025-26)

About Patterns in Mathematics — Class 6 CBSE

Discover and extend patterns in numbers, shapes, and mathematical structures. This topic is part of the CBSE Class 6 mathematics syllabus (chapter: Chapter 1). On this page you can practice 59 questions across three difficulty levels — 20 easy, 19 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 34-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Patterns in Mathematics

Unit 1: Discovering Patterns - The Basics
Unit 2: Number Patterns - Growing and Shrinking
Unit 3: Shape Patterns and Tiling
Unit 4: Finding the Rule and More Complex Patterns
Unit 5: The Power of Patterns - Summary and Practice

Interactive lesson · about 15 minutes · checkpoint question after every unit

Patterns in Mathematics — solved examples for Class 6 CBSE

Example 1easy

Look at the number pattern: 3, 7, 11, 15, ... Which rule correctly describes how to get the next number in this sequence?

A)Add 3 to the previous number
B)Multiply the previous number by 2
C)Add 4 to the previous number
D)Subtract 4 from the previous number

Step-by-step solution

Let's find the difference between consecutive numbers:
7 - 3 = 4
11 - 7 = 4
15 - 11 = 4
Since the difference is consistently 4, the rule is to add 4 to the previous number.

Answer: Add 4 to the previous number

Example 2medium

Observe the pattern: 2, 7, 12, 17, 22, ... If this pattern continues, what will be the 8th term in the sequence?

A)37
B)32
C)27
D)42

Step-by-step solution

First, identify the pattern by finding the difference between consecutive terms: 7 - 2 = 5, 12 - 7 = 5, 17 - 12 = 5, 22 - 17 = 5.
The pattern is to add 5 to the previous term to get the next term. This is an arithmetic progression.
The given terms are the 1st (2), 2nd (7), 3rd (12), 4th (17), 5th (22) terms.
To find the 8th term: 6th term = 22 + 5 = 27; 7th term = 27 + 5 = 32; 8th term = 32 + 5 = 37.

Answer: 37

Example 3hard

Observe the pattern of dots: Figure 1 has 1 dot. Figure 2 has 3 dots. Figure 3 has 6 dots. Figure 4 has 10 dots. If this pattern continues, how many dots will Figure 8 have?

A)28
B)36
C)45
D)55

Step-by-step solution

The pattern of dots is 1, 3, 6, 10, ... This is a sequence of triangular numbers.
The rule for the nth triangular number (T_n) is T_n = n × (n + 1) / 2.
For Figure 8 (n=8), the number of dots will be T_8 = 8 × (8 + 1) / 2 = 8 × 9 / 2 = 72 / 2 = 36.

Answer: 36

Practice questions on Patterns in Mathematics

Q1.easy
Consider the pattern: 2, 6, 18, 54, ... What will be the next number in this sequence?
1. A)108
2. B)162
3. C)192
4. D)216
Show answer
Answer: 162
Hint: Check if the numbers are increasing by a constant amount or by a constant multiple.
Q2.easy
A pattern is made using squares. The first figure has 1 square. The second figure has 4 squares arranged in a 2x2 grid. The third figure has 9 squares arranged in a 3x3 grid. How many squares will the fourth figure have?
1. A)12
2. B)16
3. C)20
4. D)25
Show answer
Answer: 16
Hint: Notice how the side length of the square grid changes with each figure number.
Q3.easy
Which of the following statements about odd and even numbers is always true?
1. A)The sum of two odd numbers is always an odd number.
2. B)The product of an odd number and an even number is always an odd number.
3. C)The product of two odd numbers is always an odd number.
4. D)The sum of two even numbers is always an odd number.
Show answer
Answer: The product of two odd numbers is always an odd number.
Hint: Try testing each statement with a few examples of odd (1, 3, 5) and even (2, 4, 6) numbers.
Q4.medium
A clock shows the time 3:00. After 30 minutes, the minute hand moves 180°. If a pattern of rotations is 90° clockwise, 180° clockwise, 270° clockwise, what will be the next rotation in this sequence?
1. A)90° clockwise
2. B)360° clockwise
3. C)180° clockwise
4. D)450° clockwise
Show answer
Answer: 360° clockwise
Hint: Look at the amount added to each rotation to get the next one. What's the step-by-step increase?
Q5.medium
Consider the sequence of numbers: 1, 3, 6, 10, 15, ... What will be the 8th term in this sequence?
1. A)21
2. B)28
3. C)36
4. D)45
Show answer
Answer: 36
Hint: Instead of a constant difference, look at how the difference between consecutive terms changes. Is there a pattern in those differences?
Q6.medium
Rohan goes to school every Monday, Wednesday, and Friday. If he started this schedule on a Monday, on which day of the week will his 10th school day fall?
1. A)Tuesday
2. B)Wednesday
3. C)Thursday
4. D)Friday
Show answer
Answer: Friday
Hint: List out the days he goes to school. How does the sequence of days repeat? Count carefully.
Q7.hard
Consider a pattern where squares are arranged to form a larger square with a hollow center. Figure 1 is a 3x3 square with a 1x1 hollow center (8 squares). Figure 2 is a 4x4 square with a 2x2 hollow center (12 squares). Figure 3 is a 5x5 square with a 3x3 hollow center (16 squares). How many squares will be in Figure 6?
1. A)20
2. B)24
3. C)28
4. D)32
Show answer
Answer: 32
Hint: Focus on how the dimensions of the outer square and the hollow center change with each figure number. The number of squares is the area of the outer square minus the area of the inner hollow.
Q8.hard
A special machine processes numbers. When you input '1', it outputs '3'. When you input '2', it outputs '8'. When you input '3', it outputs '15'. When you input '4', it outputs '24'. If the machine outputted '99', what number was inputted?
1. A)7
2. B)8
3. C)9
4. D)10
Show answer
Answer: 9
Hint: Look for a pattern in the relationship between the input number (n) and the output number. How does the output relate to n and n+1 or n+2?
Q9.hard
A unique plant grows in a special way. On Day 1, it has 2 leaves. Each subsequent day, the plant grows twice the number of *new* leaves it grew on the previous day. Additionally, it grows 1 new flower every day starting from Day 1. How many total leaves and flowers will the plant have on Day 5?
1. A)34 leaves, 5 flowers
2. B)30 leaves, 5 flowers
3. C)30 leaves, 10 flowers
4. D)34 leaves, 10 flowers
Show answer
Answer: 34 leaves, 5 flowers
Hint: Track the number of *new* leaves added each day and the cumulative total. The flowers have a simpler, independent pattern.

These are 9 of the 59 questions available for Patterns in Mathematics. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.