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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 997 · 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. 1.1111 × 1111 =
  2. 2.11 × 11 =
  3. 3.123 × 8 + 3 =
  4. 4.1234567 × 9 + 8 =
  5. 5.37 × 9 =
  6. 6.123 × 9 + 4 =
  7. 7.12345 × 8 + 5 =
  8. 8.12345678 × 8 + 8 =
  9. 9.12 × 8 + 2 =
  10. 10.12345679 × 63 =
  11. 11.111 × 111 =
  12. 12.12345679 × 45 =
  13. 13.12345679 × 54 =
  14. 14.123456789 × 8 + 9 =
  15. 15.1234 × 8 + 4 =
  16. 16.12345678 × 9 + 9 =
  17. 17.12345679 × 18 =
  18. 18.12345679 × 81 =
  19. 19.11111 × 11111 =
  20. 20.12345 × 9 + 6 =
  21. 21.37 × 6 =
  22. 22.37 × 18 =
  23. 23.37 × 27 =
  24. 24.12345679 × 9 =
  25. 25.37 × 3 =
  26. 26.12 × 9 + 3 =
  27. 27.12345679 × 36 =
  28. 28.123456 × 9 + 7 =
  29. 29.12345679 × 27 =
  30. 30.1234 × 9 + 5 =
  31. 31.37 × 15 =
  32. 32.111111 × 111111 =
  33. 33.12345679 × 72 =
  34. 34.1234567 × 8 + 7 =
  35. 35.37 × 24 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 21 =
  38. 38.37 × 12 =
  39. 39.12345679 × 36 =
  40. 40.37 × 18 =

Answer key

  1. 1234321
  2. 121
  3. 987
  4. 11111111
  5. 333
  6. 1111
  7. 98765
  8. 98765432
  9. 98
  10. 777777777
  11. 12321
  12. 555555555
  13. 666666666
  14. 987654321
  15. 9876
  16. 111111111
  17. 222222222
  18. 999999999
  19. 123454321
  20. 111111
  21. 222
  22. 666
  23. 999
  24. 111111111
  25. 111
  26. 111
  27. 444444444
  28. 1111111
  29. 333333333
  30. 11111
  31. 555
  32. 12345654321
  33. 888888888
  34. 9876543
  35. 888
  36. 987654
  37. 777
  38. 444
  39. 444444444
  40. 666

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