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.