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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 792 · 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. 1.37 × 9 =
  2. 2.11111 × 11111 =
  3. 3.111111 × 111111 =
  4. 4.12345679 × 54 =
  5. 5.12345 × 8 + 5 =
  6. 6.1234567 × 9 + 8 =
  7. 7.1234 × 9 + 5 =
  8. 8.12345679 × 18 =
  9. 9.12345679 × 27 =
  10. 10.37 × 21 =
  11. 11.12345 × 9 + 6 =
  12. 12.11 × 11 =
  13. 13.111 × 111 =
  14. 14.12 × 8 + 2 =
  15. 15.123456 × 9 + 7 =
  16. 16.1111 × 1111 =
  17. 17.37 × 15 =
  18. 18.37 × 12 =
  19. 19.12345679 × 81 =
  20. 20.12345678 × 9 + 9 =
  21. 21.37 × 18 =
  22. 22.12345679 × 9 =
  23. 23.37 × 27 =
  24. 24.37 × 24 =
  25. 25.123 × 9 + 4 =
  26. 26.123456789 × 8 + 9 =
  27. 27.12345678 × 8 + 8 =
  28. 28.123 × 8 + 3 =
  29. 29.12 × 9 + 3 =
  30. 30.12345679 × 72 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12345679 × 36 =
  33. 33.12345679 × 45 =
  34. 34.1234567 × 8 + 7 =
  35. 35.37 × 3 =
  36. 36.37 × 15 =
  37. 37.12345679 × 63 =
  38. 38.123 × 9 + 4 =
  39. 39.37 × 6 =
  40. 40.37 × 9 =

Answer key

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

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