### Play with Patterns

**PATTERN AROUND US**

**Question 1**:

**Look around you and list three things in which you find some pattern.**

**Answer**:

Stairs, Giraffe, zebra, leopard.

**Question 2**:

**Draw some patterns which you have found around yourself.**

**Answer**:

**Question 3**:

**You will see that these designs have been made by using the same block in different ways.**

**Can you see a pattern in the way each block is repeated?**

**Answer**:

Yes, the same block has been used once in upward direction and then once in downward direction. Then the same is repeated.

**PRACTICE TIME**

**Question 1**:

**Given below are some patterns.**

**Figure out the rule for each and continue the pattern.**

**Answer**:

Rule for each pattern:

(a) The pot colour is alternate red and blue.

(b) Two times A followed by B.

(c) In the first block, one flower petal is drawn; then 3 are drawn and then 5 petals.

(d) The blue triangle appears in the top, then left, then down and then right.

(e) The object rotates clockwise.

(f) The sequence is: morning, afternoon, evening, night.

Here are the complete patterns:

Morning, afternoon, evening, night, morning, afternoon, evening, night.

**GROWING PATTERNS**

**Question 1**:

**Can you see the rule and continue the pattern?**

**Answer**:

Yes the pattern is that the number of arrows grows by one every two ovals. The first two ovals have 1 arrow. The next two have 2 arrows, so on and so forth. Also, in each set of two, the first oval has downward arrow(s) and the next has upward arrow(s).

**NUMBER PATTERNS**

**Question A**:

**Look for the rules and continue these growing patterns:**

**Answer**:

(a) 51, 56, 61, 66, 71, 76, 81, 86

(b) 7, 14, 21, 28, 35, 42, 49, 56, 63

(c) 2, 4, 8, 16, 32, 64, 128, 256, 512

(d) 12A, 13B, 14C, 15D, 16E, 17F, 18G

**Question B**:

**Look at these growing patterns. Find out what to add to each number to get the next one:**

**Answer**:

(a) 1, 3, 6, 10, __, __, __, __, __.

- First number: 1
- Second number: 3 (i.e. 1 + 2)
- Third number: 6 (i.e. 3 + 3)
- Fourth number: 10 (i.e. 6 + 4)
- Thus, next number will be
- 10 + 5 = 15
- 15 + 6 = 21
- 21 + 7 = 28
- 28 + 8 = 36
- 36 + 9 = 45
- So, the final pattern will be: 1, 3, 6, 10, 15, 21, 28, 36, 45.

(b) 0, 2, 6, 12, __, __, __, __, __.

- First number: 0
- Second number: 2 (i.e. 0 + 2)
- Third number: 6 (i.e. 2 + 4)
- Fourth number: 12 (i.e. 6 + 6)
- Thus, next number will be
- 12 + 8 = 20
- 20 + 10 = 30
- 30 + 12 = 42
- 42 + 14 = 56
- 56 + 16 = 72
- So, the final pattern will be: 0, 2, 6, 12, 20, 30, 42, 56, 72.

(c) 1, 3, 7, 13, __, __, __, __, __.

- First number: 1
- Second number: 3 (i.e. 1 + 2)
- Third number: 7 (i.e. 3 + 4)
- Fourth number: 13 (i.e. 7 + 6)
- Thus, next number will be
- 13 + 8 = 21
- 21 + 10 = 31
- 31 + 12 = 43
- 43 + 14 = 57
- 57 + 16 = 73
- So, the final pattern will be: 1, 3, 7, 13, 21, 31, 43, 57, 73.

(d) 2, 3, 6, 11, 18, __, __, __, __, __.

- First number: 2
- Second number: 3 (i.e. 2 + 1)
- Third number: 6 (i.e. 3 + 3)
- Fourth number: 11 (i.e. 6 + 5)
- Fifth number: 18 (i.e. 11 + 7)
- Addition of sequence of odd numbers i.e. 1, 3, 5, 7 …
- Thus, next number will be
- 18 + 9 = 27
- 27 + 11 = 38
- 38 + 13 = 51
- 51 + 15 = 66
- 66 + 17 = 83
- So, the final pattern will be: 2, 3, 6, 11, 18, 27, 38, 51, 66, 83.

**SECRET MESSAGES**

**Question 1**:

**Can you tell what they are trying to say?**

**Answer**:

WHERE ARE YOU

IN THE CANTEEN

**Question 2**:

**These are two secret messages. Look for the patterns and find the hidden sentences.**

**1 I 2 L 3 O 4 V 5 E 6 Y 7 O 8 U**

**ATBHCIDS EBFOGOHK IIJS KFLUMN**

**Answer**:

I LOVE YOU

*THIS BOOK IS FUN*

**EVEN AND ODD NUMBER PATTERNS**

**Question 1**:

**What patterns do you see in these numbers? Continue the same pattern and fill in the blanks:**

**96, 98, __, 102, __, __, __, __, __.**

**Answer**:

These numbers are called even numbers.

96, 98, 100, 102, 104, 106, 108, 110, 112.

We can continue this pattern till infinity i.e. there is no limit.

**Question 2**:

**Do any of these even numbers end with 3 or 5?**

**Answer**:

No, none of these numbers end with 3 or 5.

**Question 3**:

**What do even numbers end with?**

**Answer**:

Even numbers end with 0, 2, 4, 6, or 8.

**Question 4**:

**Look at the pattern of numbers in blue. Continue the pattern and fill in the blanks:**

**Answer**:

These numbers are called odd numbers.

99, 101, 103, 105, 107, 109, 111, 113.

**Question 5**:

**What do the numbers in blue end with?**

**Answer**:

The numbers in blue end with 1, 3, 5, 7 or 9.

**Question 6**:

**Write all odd numbers between 400 and 410.**

**Answer**:

401, 403, 405, 407, 409.

**Question 7**:

**Write all even numbers between 155 and 165.**

**Answer**:

156, 158, 160, 162, 164.

**Question 8**:

**If we add 1 to any odd number we get an (even/odd) number.**

**Answer**:

We get even number.

**Question 9**:

**If we add 1 to any even number we get an (even/odd) number.**

**Answer**:

We get odd number.

**Question 10**:

**What do you get if you add an even number to an odd number?**

**Answer**:

If we add an even number to an odd number, we get an **odd** number.

For instance, 3 + 2 = 5; 7 + 4 = 11.

**NAMES IN AN ORDER**

**Question 1**:

**Adil has to arrange this list so that the names starting with A come first and then come those with B, C, D and so on. Number these names in the order in which they will come.**

**Answer**:

Sharada | 11 | Mahadevan | 8 | Tsering | 12 | Adil | 1 |

Gurinder | 4 | Baichung | 2 | Harsha | 5 | Raja | 10 |

Narayan | 9 | Kavita | 7 | Warsha | 13 | Elvis | 3 |

Jalaj | 6 |

**Question 2**:

**Which of the following names have the same pattern?**

**Harsh, Anna, Kanak, Munna, Ongbi**

**Answer**:

Anna, Kanak, Munna.