NCERT Solutions Class 3 Mathematics Chapter 10 Play with Patterns

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

Ans. Necklace, clothes with design, tiger or anything with pattern.

2. You will see 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?

Ans. The rule for this pattern is there is one block upward and one downward. Then this is repeated.

3. Given below are some pattern. Figure out the rule for each and continue the pattern.

(f) Morning, afternoon, evening, night, morning, ……..
Ans. Morning, afternoon, evening, night, morning, afternoon, evening, night.

4. Can you see the rule and continue the pattern.
Ans. The rule for this pattern is that it is growing and does not repeat. In the first V appears once but downwards, in the 2nd V appears once but upwards. In the third and fourth twice first down them upwards. That is V goes on growing. The continued pattern as under:

5. We have made some pattern with pictures. We can make patterns with numbers too.
Like 21, 41, 61, 81, 101, 121. You know the next number, don’t you? This is a growing pattern. It can go and on. 21, 41, 61, 81, 101, 121, 141, 161, 181.

(a) Look for the rules and continue these growing patterns:
Ans. Continuing with the growing patterns, we have:
(1) 51, 56, 61, 66, 71, 76, 81
(2) 7, 14, 21, 28, 35, 42, 49, 56
(3) 2, 4, 8, 16, 32, 64, 128, 256
(4) 12A, 13B, 14C, 15D, 16E.

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

(i) 1, 3, 6, 10, _______
Ans. 1, 3, 6, 10, 15, 21, 28, 36, 45.

(ii) 0, 2, 6, 12, _______
Ans. 0, 2, 6, 12, 20, 30, 42, 56.

(iii) 1, 3, 7, 13, ______
Ans. 1, 3, 7, 13, 21, 31, 43, 57.

(iv) 2, 3, 6, 11, 18, _____
Ans. 2, 3, 6, 11, 18, 27, 38, 51.

6. Amrita and Paritosh are writing secret messages.

Ans. The secret messages are: Where are you? In the canteen.

7. There are two secret messages. Look for the patterns and find the hidden sentences.

Ans. Hidden sentences are:
I LOVE YOU, THIS BOOK IS FUN.

8. Half these numbers are in yellow. What patterns do you see in these numbers?
Continue the pattern and fill in the blanks
Ans. 99, 101, 103, 105, 107, 109, 111, 113.

9. What do the numbers in blue end with?
Ans. These numbers that end with 1, 3, 5, 7 or 9 are called odd numbers.

10. What do you get if you add an even number to an odd number?
Ans. On adding an even number to an odd number, we get an odd number.

11. Write all the odd numbers between 400 and 410.
Ans. 401, 403, 405, 407, 409.

12. Write all the even numbers between 155 and 165.
Ans. 156, 158, 160, 162, 164.

13. If we add 1 to any odd number we get an ____ number.
Ans. Even number.

14. If we add 1 to any even number we get an _____ number.
Ans. Odd number.

 

Question. On the number line below, 68 is mid way between 73 and the number in the empty box. What number comes in the empty box?

(a) 58
(b) 60
(c) 63
(d) 67

Answer : C

Question. See the pattern below. What will be the LAST letter in the next line of the pattern?

(a) g
(b) h
(c) i
(d) z

Answer : C

Question. The dots in the boxes form a pattern. How many dots will be there in Box 6?

(a) 32
(b) 24
(c) 20
(d) 16

Answer : A

Question. See the pattern below. The shape that comes next is.

Answer : D

Question. Look at the pattern on this number train: Which number between 50 and 60 will be on this number train?

 

(a) 52
(b) 54
(c) 56
(d) 58

Answer : B

Question. See the number pattern in the shapes below. What comes next?

 

Answer : B

Question. Ritu makes a tower of 3 blocks - one red, one yellow and one green.
The green block and the red block are NOT together. The red block is at the bottom.
Which of the following is the tower  Ritu made? 
(R = Red, Y = Yellow and G = Green)

 

Answer : C

Question. What will be the next three letters in the letter pattern shown below?
A A B B C C D E E F G G H _ _ _
(a) H  I  I
(b) H  I  J
(c) I  I  J
(d) I  J  J

Answer : C

Question. Hari is making a tower pattern with boxes. 
Which box should he put on top next to continue the pattern?

Answer : C

Question. What numbers should be put in the two empty triangles to continue the pattern?

(a) 50, 48
(b) 59, 57
(c) 60, 58
(d) 79, 77

Answer : B

Question. Four buttons are placed as shown below.
I want to have all four buttons in a straight line by moving the LEAST number of buttons. How many buttons must I move?

(a) 1
(b) 2
(c) 3
(d) 4

Answer : A

Question. Look at this shape. 
Which pattern given below contains a shape like the one shown above?

Answer : D

Question. What are the next two numbers in the pattern?  
8 ,   13  ,  18   ,  23, ____ ,  ____
(a) 28 and 33
(b) 33 and 43
(c) 33 and 35
(d) 38 and 43

Answer : A

Question. See how the letters are written in the first four wheels below:
The letters Q, R, S and T have to be written in the next wheel to make the pattern go on. Which letter should come in the place marked?

(a) Q
(b) R
(c) S
(d) T

Answer : D

Question. A number pattern is given below.
32, _____, 42, 47, 52, 57, 62, 67.
The number that comes in the blank is".
(a) 33
(b) 35
(c) 37
(d) 41

Answer : C