The chapter **“****Play with Patterns****” **is **Chapter 10** from **Merry Math III **for students of** Class 3rd** of **JKBOSE**. In a previous post, you read about **Time Goes On Class 3rd Math Solutions Page No 142 – 144**. The particular post is about **Play with Patterns Class 3rd Math Solutions****.** Let’s get started:

**Play with Patterns Class 3rd Math Solutions **

**Practice Time**

**Given below are some patterns.**

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

**f) Morning, afternoon, evening, night, morning, _____________.**

Ans. The rule for each pattern is as follows:

(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 at the top, then left, then down and then right.

(e) The object rotates clockwise.

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

Here are the complete patterns:

**Growing Patterns**

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

Ans. 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, and so on and so forth. Also, in each set of two, the first oval has a downward arrow(s), and the next has an upward arrow(s).

**Try these also.**

Ans. Students have to do it themselves.

**Number Patterns**

We have made some patterns with pictures. We can make patterns with numbers too. Like 21, 41, 61, 81, 101, _______

You know the next number, don’t you?

This is a growing pattern. It can go on and on.

21, 41, 61, 81, 101, 121, 141, 161, _______

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

**a) 51, 56, 61, 66, _______, _______, _______.**

**b) 7, 21, 28, 35, _______, _______, _______.**

**c) 2, 4, 8, 16, 32, _______, _______, _______.**

**d) 12A, 13B, 14C, _______, _______, _______.**

Ans. (a) 51, 56, 61, 66, **71, 76, 81,**

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

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

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

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

**a) 1, 3, 6, 10, _______, _______, _______, _______,**

Ans. 1st number: 1

2nd number: 3 (i.e., 1 + 2)

3rd number: 6 (i.e., 3 + 3)

4th number: 10 (i.e., 6 + 4)

Thus, the 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, _______, _______, _______, _______ ,**

1st number: 0

2nd number: 2 (i.e., 0 + 2)

3rd number: 6 (i.e., 2 + 4)

4th number: 12 (i.e., 6 + 6)

Thus, the 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, _______, _______, _______, _______,**

1st number: 1

2nd number: 3 (i.e., 1 + 2)

3rd number: 7 (i.e., 3 + 4)

4th number: 13 (i.e., 7 + 6)

Thus, the 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, _______, _______, _______, _______,**

1st number: 2

2nd number: 3 (i.e., 2 + 1)

3rd number: 6 (i.e., 3 + 3)

4th number: 11 (i.e., 6 + 5)

5th number: 18 (i.e., 11 + 7)

Addition of sequence of odd numbers, i.e. 1, 3, 5, 7 …

Thus, the 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**

Amrita and Paritosh are writing secret messages.

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

Ans. Girl: Where are you?

Boy: In the canteen.

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

Ans. I LOVE YOU

THIS BOOK IS FUN

**Even and Odd Number Patterns**

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

**96, 98, ____, 102, ____, ____, ____, ____, ____.**

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

**How far can you continue this pattern?**

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

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

Ans. No, none of these numbers ends with 3 or 5.

**What do even numbers end with?**

Ans. The even numbers end with 0, 2, 4, 6, or 8.

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

**99, 101, ____, 105, 107, ____, ____,**

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

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

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

All numbers that end with 1, 3, 5, 7 or 9 are called odd numbers.

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

Ans. 401, 403, 405, 407, 409.

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

Ans. 156, 158, 160, 162, 164.

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

Ans. If we add 1 to any odd number, we get an** even** number.

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

Ans. If we add 1 to any even number, we get an ** odd** number.

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

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

For instance, 1 + 2 = 3; 5 + 4 = 9.

**Names in an Order**

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.

Ans.

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

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

Ans. Anna, Kanak, Munna.

That’s it about

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