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Lesson 12 of 13

7 min

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Nine ideas, nine checks. The table comes first.

Number Play — every move you now have
MoveHow it goes
Rearrange digitsSame digits, new order, new number.
Biggest and smallestBiggest digit first for biggest. Smallest digit that is not 0 first for smallest.
PalindromesReads the same both ways. Reverse and add to reach one.
SupercellsBigger than every neighbour it has.
EstimateRound the real numbers, then add.
Number puzzlesEach clue removes numbers that fail it.
6174Biggest minus smallest. Repeat. Four digits that are not all the same end at 6174.
CollatzEven: halve. Odd: times 3, add 1. Repeat to reach 1.
Number gamesWork backwards. Winning numbers are 4 apart.

The digits of 3816 are rearranged to make 6813. What is true?

  • They are the same number.
  • They are different numbers. The places changed.
  • 6813 is not a real number.

Digits 5, 0, 8, 2. Which digit goes first in the smallest number?

  • 0
  • 2
  • 8

Which of these numbers is a palindrome?

  • 305
  • 5445
  • 1234

A number is a supercell when it is bigger than which neighbours?

  • At least one
  • Every one it has
  • Only the ones on its left

You add ₹342 and ₹279 by rounding to the nearest hundred first. What do you get?

  • ₹500
  • ₹600
  • ₹621

Clue: the number is more than 50. Digits add to 7. Which fits?

  • 43
  • 61
  • 62

Start with 2012. What is the first Kaprekar round?

  • 2210 − 2012 = 198
  • 2210 − 0122 = 2088
  • 2012 − 0122 = 1890

Collatz process. The number is 7. What comes next?

  • 3
  • 22
  • 8

Reach 22 by adding 1, 2 or 3. You go first. What do you say first?

  • 1
  • 2
  • 3

Chapter 3 of your NCERT book is Number Play. It plays the games you just played.

Next: Data Handling and Presentation. Turn answers into a picture.

Reveal every answer to finish this lesson.