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Question
What if someone gives you to add ten numbers together?
Did you notice some pattern in the answers?
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Solution
In each succeeding pattern, the final sum is increased by 100.
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Circle the correct addition fact (by using casting out nine).
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A9, B18, C27, D36, _______, ________, _________.
Look at the calendar below.
Let us mark 3 × 3 boxes (9 dates) on the calendar and see some magic.
| Take the smallest number | 3 |
| Add 8 to it | +8 |
| = | 11 |
| Multiply it by 9 | ×9 |
| Total | 99 |
Now you choose any 3 × 3 boxes from a calendar and find the total in the same way.
Take any number. Now multiply it by 2, 3, 4 ............... at every step. Also, add 3 to it at each step. Look at the difference in the answer. Is it the same at every step?
Now try doing it with some other number and also take a different number to add at each step.
Write a set of clues for a secret number of your own. Then give it to a friend to guess your secret number.
Ask your friend rite — W down your A age. dd 5 to it. Multiply the sum by 2. Subtract 10 from it. Next, divide it by 2. What do you get?
Look at this pattern of numbers and take it forward.
1 = 1 × 1
121 = 11 × 11
12321 = 111 × 111
1234321 = ?
