Class 5 Maths Chapter 7 Can You See the Pattern – Complete Notes

🔷 Chapter 7 – Can You See the Pattern?

Class: 5 (CBSE)
Subject: Mathematics
Main Ideas: Patterns, Rules, Turns, Magic Squares, Number Patterns

📘 Introduction

In daily life we see many beautiful patterns on clothes, tiles, rangoli, and buildings. A pattern is made by following a rule. In this chapter, we learn how to find the rule and continue the pattern.

🎨 Patterns Using a Block

The same block can make different patterns by following different rules.

✔ One up, one down – repeated
✔ Turning the block every time (clockwise)

🔄 Turns and Rotations

✔ One-Fourth Turn

A one-fourth turn means turning a shape by:

$\dfrac{1}{4}$ turn = $90^\circ$

✔ Half Turn

$\dfrac{1}{2}$ turn = $180^\circ$

✔ Three-Fourth Turn

$\dfrac{3}{4}$ turn = $270^\circ$

🧠 Finding the Rule

To continue a pattern:

Observe how the shape changes
Check rotation direction
Find the turning angle

Example rule: Turning by $45^\circ$ each time.

🔢 Number Patterns

Patterns are also formed using numbers.

Example: $2, 4, 8, 16, 32$ → Multiply by $2$ each time

🟦 Magic Squares

A magic square is a square where the sum of numbers in:

Each row
Each column
Each diagonal

is the same.

Rule Example: Sum of each side = $75$

🔷 Magic Hexagons

In magic hexagons:

The number in the box = product of the two circles beside it Example: $5 \\times 13 = 65$

🔁 Numbers and Numbers (Order Doesn’t Matter)

Changing the order of numbers does not change the result.

$48 \\times 13 = 13 \\times 48$
$24 + 19 + 37 = 37 + 24 + 19$

🔁 Palindromes (Special Numbers)

A palindrome reads the same forwards and backwards.

Examples: $121, 363, 12321$

📅 Calendar Magic

Choose any $3 \\times 3$ box on a calendar.

If the middle number is $m$, then: Total = $9 \\times m$

➕ Fun with Odd Numbers

Adding first $n$ odd numbers gives:

$1 + 3 + 5 + \dots + (2n-1) = n^2$

Example:

$1 + 3 + 5 + 7 = 16 = 4^2$

🧩 Smart Adding

To add ten consecutive numbers:

Multiply the middle number by $10$

🔐 Secret Numbers

Clues are used to guess a secret number.

Example clues: More than $60$, less than $70$
Digits add to $11$
Tens digit is one more than ones digit

🔢 Number Surprise Pattern

Look at this pattern:

$1 = 1 \\times 1$
$121 = 11 \\times 11$
$12321 = 111 \\times 111$
$1234321 = 1111 \\times 1111$

✍️ Practice Questions

1) What is a one-fourth turn in degrees?

2) Write two palindromic numbers.

3) Find the next number: $2, 6, 18, 54, \_\_$

4) What is the sum of first $6$ odd numbers?

5) Find the total of a $3 \\times 3$ calendar box if the middle number is $12$.

✅ Quick Revision

✔ Patterns follow a rule
✔ Turns are measured in fractions and degrees
✔ Magic shapes follow fixed sums or products
✔ Order of numbers does not change result
✔ Odd number sums form perfect squares

🎉 Chapter Complete

After studying this chapter, students can confidently identify patterns, discover rules, solve magic puzzles, and enjoy number tricks.

Class 5 Maths Worksheet – Can You See the Pattern?

📝 Complete Worksheet – Can You See the Pattern?

Class: 5 (CBSE)
Chapter: Can You See the Pattern?
Main Topics: Patterns, Turns, Magic Squares, Number Rules 🎯

Section A – Multiple Choice Questions (MCQs)

Q1. A one-fourth turn is equal to:

(a) $45^\circ$

(b) $60^\circ$

(d) $180^\circ$

Q2. Which number comes next in the pattern: $2, 4, 8, 16, \_\_$ ?

(a) $18$

(b) $24$

(d) $32$

Q3. A magic square has:

(a) Different sums in rows

(b) Same sum in rows, columns and diagonals

(d) No fixed rule

Q4. Which of the following is a palindromic number?

(a) $123$

(b) $456$

(d) $789$

✔ Q1 → (c) $90^\circ$
✔ Q2 → (d) $32$
✔ Q3 → (b) Same sum in rows, columns and diagonals
✔ Q4 → (c) $121$

Section B – Fill in the Blanks

1) A pattern is formed by following a __________.

2) A half turn is equal to __________ degrees.

3) A number that reads the same forwards and backwards is called a __________.

4) The sum of first $n$ odd numbers is equal to __________.

✔ rule
✔ $180$
✔ palindrome
✔ $n^2$

Section C – Very Short Answer Questions

1) What is a pattern?

2) What is a one-half turn?

3) Write one palindromic number.

✔ A design or sequence formed by a rule.
✔ A turn of $180^\circ$.
✔ $121$ / $363$

Section D – Short Answer Questions

Q1. Find the rule and continue the pattern: $3, 6, 12, 24, \_\_$

Q2. What is a magic square?

Q3. Write the sum of first $5$ odd numbers.

✔ Rule: Multiply by $2$, next number = $48$
✔ A square where rows, columns and diagonals have the same sum.
✔ $1 + 3 + 5 + 7 + 9 = 25 = 5^2$

Section E – Long Answer Questions

Q1. Explain one-fourth, one-half and three-fourth turns using degrees.

Q2. Explain the pattern: $1, 4, 9, 16, 25$.

✔ $\dfrac{1}{4}$ turn = $90^\circ$, $\dfrac{1}{2}$ turn = $180^\circ$, $\dfrac{3}{4}$ turn = $270^\circ$
✔ These are square numbers: $1^2, 2^2, 3^2, 4^2, 5^2$

Section F – HOTS / Thinking Questions ⭐

Q1. Why does the sum of first $n$ odd numbers always form a perfect square?

Q2. A $3 \\times 3$ calendar box has middle number $15$. Find the total of all numbers.

✔ Because $1 + 3 + 5 + \dots + (2n-1) = n^2$
✔ Total = $9 \\times 15 = 135$

🎯 Worksheet Complete

✔ Practice number patterns daily
✔ Revise turns & angles carefully
✔ Enjoy magic squares & number tricks
✔ You are now **exam-ready** ✅