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\\September 30, 2025 9:50 AM Bharat Arora P-9 Reader _________________________ Date: ___________________74

3. 111 ÷ 3 = 37 4. (9 – 1) ÷ 8 = 1

222 ÷ 6 = 37 (98 – 2) ÷ 8 = 12
333 ÷ 9 = 37 (987 – 3) ÷ 8 = 123
444 ÷ 12 = 37 (9876 – 4) ÷ 8 = 1234
555 ÷ 15 = 37 (98765 – 5) ÷ 8 = 12345

666 ÷ 18 = 37 (987654 – 6) ÷ 8 = 123456
777 ÷ 21 = 37 (9876543 – 7) ÷ 8 = 1234567

888 ÷ 24 = 37 (98765432 – 8) ÷ 8 = 12345678
999 ÷ 27 = 37 (987654321 – 9) ÷ 8 = 123456789
Patterns in numbers arranged in a shape

Numbers can be arranged to form a shape or to fit

inside a shape. These numbers can also have a pattern. 3 45
Here are some numbers that have been arranged in a 9 37
rectangle. 6 8

On observing the figure closely, we find that each 18 7 ? 45
number in the smaller rectangle is the difference of 11 54
two numbers outside it.

Let us observe these parts individually.

7 ?
3 45 18 45

9 37 11 54
6 8

9 – 3 = 6; 45 – 37 = 8; 18 – 11 = 7, ... Hence, the missing number = 54 – 45 = 9.

Think Tank Logical Thinking
Find the number to replace the ‘?’ mark in the given number pattern.

26 28 28 30 30 28 32 30 ?

Practice time 8c

1. Find the number patterns and complete them by filling in the missing numbers:

(a) 1, 4, 7, 10, 13, _____, _____, _____, _____
(b) 3, 12, 21, 30, _____, _____, _____, _____

(c) 7, 11, 15, 19, 23, _____, _____, _____, _____
(d) 512, 256, 128, _____, _____, _____, _____

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