# Patterns

Here are some patterns. Follow them and extend them:

(i)

1 × 9 + 2 = 11

12 × 9 + 3 = 111

123 × 9 + 4 = 1111

1234 × 9 + 5 = 11111

12345 × 9 + 6 = _______

123456 × 9 + 7 = _______

(ii)

1 × 8 + 1 = 9

12 × 8 + 2 = 98

123 × 8 + 3 = 987

1234 × 8 + 4 = 9876

12345 × 8 + 5 = _______

123456 × 8 + 6 = _______

(iii)

111 ÷ 3 = 37

222 ÷ 6 = 37

333 ÷ 9 = 37

444 ÷ 12 = 37

555 ÷ 15 = _______

666 ÷ 18 = _______

(iv)

9 + 1 = 10

90 + 10 = 100

900 + 100 = 1000

9000 + 1000 = _______

90000 + 10000 = _______

900000 + 100000 = _______

Follow the pattern of the following products and extend them further:

(i)

5 × 5 = 25

55 × 5 = 275

555 × 5 = 2775

5555 × 5 = 27775

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55555555 × 5 = 277777775

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(ii)

404 × 404 = 163216

505 × 505 = 255025

606 × 606 = 367236

707 × 707 = 499849

808 × 808 = 652864

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In patterns here are some unsolved questions for the students to understand and complete the questions on patterns.

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