Play with Patterns
NCERT book Page No: 109
Question: 1
We can also make patterns with numbers and letters. Below are a few examples. Can you take them forward?
Answer:
Question: 2
Now write your own number patterns.
Answer:
Question: 3
Make a pattern without numbers.
Answer: A pattern without numbers are given below
NCERT book Page No: 110
No Number Comes Twice
Look at the number box. Can you see a pattern?
Question: 4
Now you try writing the letters – A, B, C in the box so that no letter comes twice in any line.
Answer:
NCERT book Page No: 111
Magic Patterns
Question: 5
Now you fill these stars. Use numbers 1 – 9 and the rule that the numbers on each line add up to 15.
Answer:
In the given figure below, the numbers are filled in the stars from 1 to 9 which add upto 15 in each line.
- Magic Triangles
- Look at this number pattern.
- Rule: Numbers on each side of the triangle add up to 9
Question: 6
See if the other sides of the triangle also add up to 9.
Answer: Yes, the numbers on the other sides of the triangle add up to 9
3 + 5 + 1 = 9 and 2 + 6 + 1 = 9
NCERT book Page No: 112
Question: 7
Now use numbers 1 – 6 to make your own magic triangle.
Rule: Numbers on each side must add up to 10
Answer: The numbers from 1 to 6 are arranged in the figure below which add up to 10 in each line.
NCERT book Page No: 113
Number Towers
Question: 8
Using the same rule, completer these number towers.
Answer:
The Same Sum Rule
Some friends are playing with number cards. See how they add.
Question: 9
Now you write any number and the three numbers after that. Make a pattern using the rule.
See if you get the same sum.
Answer: The numbers using the same pattern are
NCERT book Page No: 114
Patterns with Addition
Question: 10
Now, you try to make such a pattern with 5 numbers in order.
Answer:
Question: 11
Does the sum grow by 5 each time?
Answer: Yes, the sum grows by 5
NCERT book Page No: 115
Question: 12
Complete this list of letters and numbers to help you.
Answer:
Question: 13
Teenu wants to write to his friend ‘Good Morning’.
What will he write by using the same rule?
Answer:
G = 7 O = 15 O = 15 D = 4
M = 13 O = 15 R = 18 N = 14 I = 9 N = 14 G = 7
Hence, Good Morning can be written as follows
Question: 14
If we change the rule and write 1 in place of ‘B’, 3 in place of ‘D’ and so on, then how will we write ‘Let Us Dance’?
Answer: L = 11 E = 4 T = 19
U = 20 S = 18
D = 3 A = 26 N = 13 C = 2 E = 4
Therefore, let us dance can be written as follows
NCERT book Page No: 116
Question: 15
What was Kahuli’s secret message?
Answer: New arrangement of letters for secret message is given below
| A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |
| B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | A |
Hence, the secret message of Kahuli is ‘XF BSF GSJFOET’ i.e., WE ARE FRIENDS
Question: 16
What did Shablu and Jaggu write?
Answer: The secret message written by Shablu is ‘IFMMP! IPX BSF ZPV?’ And ‘XJMM ZPV QMBZ XJUI NF?’
Hence,
‘IFMMP! IPX BSF ZPV?’ becomes – Hello! How are you?
And ‘XJMM ZPV QMBZ XJUI NF?’ becomes – Will you play with me?
The secret message written by Jaggu is ‘GJOF UIBOL ZPV ZFT!’
This secret message becomes – Fine thank you. Yes!
Question: 17
Use the same rule to write- ‘Meet me on the moon’.
Answer: ‘Meet me on the moon’ secret message will be NFFU NF PO UIF NPPO.
Question: 18
Make different rules and ask your friends to crack the secret message.
Answer:
Let the new rule be – write ‘A’ at the place of ‘C’, ‘B’ at the place of ‘D’ and so on. The new key for this new rule will be
| A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |
| Y | Z | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X |
Now, write ‘I am Sorry’ by using this new rule.
The secret message for ‘I am Sorry’ will be ‘G YK QMPPW
NCERT book Page No: 117-119
Question: 19
Now, Anisha is playing with this card. Draw what it will look like when upside down.
Answer: The card when made upside down looks like as below
Floor Patterns
Question: 20
Have you ever seen a floor with tiles of these shapes?
Answer: No, I have never seen these shapes of tiles on the floor.
(a) Now, you cover this floor with this tile.
Answer: Do it yourself
(b) Can you make such a floor design with a tile like a circle?
Try with this green tile without leaving a gap. Could you do it? Discuss with your friends.
Answer: Do it yourself
We cannot make design without leaving a gap by using circular tiles.
(c) Complete this tiling pattern.
Answer:
Do it yourself
(d) Ramaiya has made a wall with his blocks. Can you complete this for him?
Answer: Do it yourself
(e) Renu began to paint this wall. Now you help her to complete it.
Answer:
Do it yourself.