CBSE Class 3 Math Play with Patterns Worksheet with Solutions - Free Printable

Problem Analysis and Solution

The image contains several tasks related to number patterns, sequences, and identifying odd/even numbers. Let's solve each part step by step.

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#### Task 1: Find out what to add to each number to get the next one

##### Part (a): Sequence: \(1, 3, 6, 10, \ldots\)

1. Identify the pattern:
- First number: \(1\)
- Second number: \(3\) (\(1 + 2\))
- Third number: \(6\) (\(3 + 3\))
- Fourth number: \(10\) (\(6 + 4\))

The difference between consecutive terms increases by \(1\) each time:
- \(3 - 1 = 2\)
- \(6 - 3 = 3\)
- \(10 - 6 = 4\)

2. Continue the pattern:
- Fifth number: \(10 + 5 = 15\)
- Sixth number: \(15 + 6 = 21\)
- Seventh number: \(21 + 7 = 28\)

Thus, the sequence is: \(1, 3, 6, 10, 15, 21, 28\).

##### Part (b): Sequence: \(0, 2, 6, 12, \ldots\)

1. Identify the pattern:
- First number: \(0\)
- Second number: \(2\) (\(0 + 2\))
- Third number: \(6\) (\(2 + 4\))
- Fourth number: \(12\) (\(6 + 6\))

The difference between consecutive terms increases by \(2\) each time:
- \(2 - 0 = 2\)
- \(6 - 2 = 4\)
- \(12 - 6 = 6\)

2. Continue the pattern:
- Fifth number: \(12 + 8 = 20\)
- Sixth number: \(20 + 10 = 30\)
- Seventh number: \(30 + 12 = 42\)

Thus, the sequence is: \(0, 2, 6, 12, 20, 30, 42\).

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#### Task 2: What pattern do you see in these numbers? Continue the same pattern and fill in the blanks.

##### Part (a): Sequence: \(96, 98, 100, 102, \ldots\)

1. Identify the pattern:
- The sequence increases by \(2\) each time:
- \(98 - 96 = 2\)
- \(100 - 98 = 2\)
- \(102 - 100 = 2\)

2. Continue the pattern:
- Next number: \(102 + 2 = 104\)
- Next number: \(104 + 2 = 106\)
- Next number: \(106 + 2 = 108\)

Thus, the sequence is: \(96, 98, 100, 102, 104, 106, 108\).

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#### Task 3: Write all odd numbers between 400 and 410.

1. Identify the range:
- Numbers between \(400\) and \(410\) are: \(401, 402, 403, 404, 405, 406, 407, 408, 409\).

2. Select the odd numbers:
- Odd numbers are those not divisible by \(2\):
- \(401, 403, 405, 407, 409\)

Thus, the odd numbers are: \(401, 403, 405, 407, 409\).

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#### Task 4: Write all even numbers between 155 and 165.

1. Identify the range:
- Numbers between \(155\) and \(165\) are: \(156, 157, 158, 159, 160, 161, 162, 163, 164\).

2. Select the even numbers:
- Even numbers are those divisible by \(2\):
- \(156, 158, 160, 162, 164\)

Thus, the even numbers are: \(156, 158, 160, 162, 164\).

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Final Answers:

1. Task 1:
- Part (a): \(15, 21, 28\)
- Part (b): \(20, 30, 42\)

2. Task 2:
- Part (a): \(104, 106, 108\)

3. Task 3:
- Odd numbers between 400 and 410: \(\boxed{401, 403, 405, 407, 409}\)

4. Task 4:
- Even numbers between 155 and 165: \(\boxed{156, 158, 160, 162, 164}\)