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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 773 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.111 × 111 =
  2. 2.12345678 × 9 + 9 =
  3. 3.12345679 × 36 =
  4. 4.12345 × 9 + 6 =
  5. 5.12345679 × 54 =
  6. 6.12345679 × 72 =
  7. 7.37 × 27 =
  8. 8.1234567 × 8 + 7 =
  9. 9.37 × 6 =
  10. 10.123 × 8 + 3 =
  11. 11.111111 × 111111 =
  12. 12.123456 × 9 + 7 =
  13. 13.1111 × 1111 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12 × 9 + 3 =
  16. 16.12 × 8 + 2 =
  17. 17.37 × 9 =
  18. 18.37 × 12 =
  19. 19.37 × 24 =
  20. 20.12345679 × 9 =
  21. 21.37 × 18 =
  22. 22.12345679 × 27 =
  23. 23.11111 × 11111 =
  24. 24.123 × 9 + 4 =
  25. 25.37 × 3 =
  26. 26.12345679 × 81 =
  27. 27.37 × 21 =
  28. 28.12345679 × 45 =
  29. 29.12345679 × 18 =
  30. 30.11 × 11 =
  31. 31.1234 × 9 + 5 =
  32. 32.1234567 × 9 + 8 =
  33. 33.12345 × 8 + 5 =
  34. 34.123456 × 8 + 6 =
  35. 35.12345678 × 8 + 8 =
  36. 36.37 × 24 =
  37. 37.12345679 × 63 =
  38. 38.123456 × 9 + 7 =
  39. 39.37 × 15 =
  40. 40.12345679 × 9 =

Answer key

  1. 12321
  2. 111111111
  3. 444444444
  4. 111111
  5. 666666666
  6. 888888888
  7. 999
  8. 9876543
  9. 222
  10. 987
  11. 12345654321
  12. 1111111
  13. 1234321
  14. 987654321
  15. 111
  16. 98
  17. 333
  18. 444
  19. 888
  20. 111111111
  21. 666
  22. 333333333
  23. 123454321
  24. 1111
  25. 111
  26. 999999999
  27. 777
  28. 555555555
  29. 222222222
  30. 121
  31. 11111
  32. 11111111
  33. 98765
  34. 987654
  35. 98765432
  36. 888
  37. 777777777
  38. 1111111
  39. 555
  40. 111111111

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