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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 592 · 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. 1.12345678 × 8 + 8 =
  2. 2.111 × 111 =
  3. 3.12 × 9 + 3 =
  4. 4.123 × 9 + 4 =
  5. 5.12345679 × 18 =
  6. 6.12345679 × 63 =
  7. 7.37 × 12 =
  8. 8.12345 × 8 + 5 =
  9. 9.37 × 18 =
  10. 10.123456789 × 8 + 9 =
  11. 11.11111 × 11111 =
  12. 12.37 × 3 =
  13. 13.123456 × 8 + 6 =
  14. 14.1234 × 8 + 4 =
  15. 15.12345679 × 27 =
  16. 16.37 × 6 =
  17. 17.12345679 × 9 =
  18. 18.12345679 × 36 =
  19. 19.123 × 8 + 3 =
  20. 20.12345 × 9 + 6 =
  21. 21.1234567 × 8 + 7 =
  22. 22.12 × 8 + 2 =
  23. 23.12345679 × 54 =
  24. 24.37 × 24 =
  25. 25.12345678 × 9 + 9 =
  26. 26.12345679 × 81 =
  27. 27.11 × 11 =
  28. 28.1234567 × 9 + 8 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345679 × 72 =
  31. 31.1111 × 1111 =
  32. 32.37 × 9 =
  33. 33.37 × 21 =
  34. 34.37 × 15 =
  35. 35.111111 × 111111 =
  36. 36.37 × 27 =
  37. 37.1234567 × 8 + 7 =
  38. 38.111 × 111 =
  39. 39.11 × 11 =
  40. 40.37 × 9 =

Answer key

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

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