Page 102 - Math_Genius_V1.0_C6_Flipbook

E:\Working\Focus_Learning\Math_Genius-6\Open_Files\04_Chapter_3\Chapter_3
\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

C. Match the following.

Column A Column B

1. 7 × 100000 + 3 × 10000 + 2 × 1000 + 2 × 100 + 3 × 10 + 4 (a) Predecessor of 100000

2. Greatest five-digit number (b) 20000

3. Kaprekar constant (c) 7641

4. An average person takes ............. breaths in a day. (d) 732234

5. The greatest 4-digit number formed with 1, 4, 7 and 6 (e) 6174

D. Solve the following questions.
1. Colour the supercells blue and subcells yellow in the given number grid.

2340 3421 7344 6174

4981 3115 9124 9876
2465 1944 5000 6027

3165 4777 6413 8888
Which numbers are neither in supercells nor in subcells? List them in ascending order.
2. Make a palindrome starting with:

(a) 43 (b) 29 (c) 78 (d) 67 (e) 89
3. This is a magic square of 8 × 8. What is the magical constant? Check the sum of rows, columns, and
diagonals? Is the sum magical constant a palindromic number?

363 424 646 747 757 767 787 393

696 232 383 898 939 969 242 525

676 949 222 595 737 888 272 545

656 868 959 666 444 373 353 565

636 343 484 333 999 626 878 585

535 292 777 848 262 555 929 686

494 979 838 323 282 252 989 727

828 797 575 474 464 454 434 858

4. Look at the pattern:
13 × 13 = 169 31 × 31 = 961
113 × 113 = 12769 311× 311 = 96721

1113 × 1113 = 1238769 3111 × 3111 = 9678321
Does the pattern continue forever? If not, can you find a series of squares which does? Can you find
another similar series?

100