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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 133 · 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. 1.1234567 × 8 + 7 =
  2. 2.11111 × 11111 =
  3. 3.12345679 × 72 =
  4. 4.1234 × 8 + 4 =
  5. 5.12345679 × 54 =
  6. 6.12345 × 9 + 6 =
  7. 7.12 × 9 + 3 =
  8. 8.123456 × 8 + 6 =
  9. 9.123 × 9 + 4 =
  10. 10.12345679 × 45 =
  11. 11.37 × 3 =
  12. 12.37 × 9 =
  13. 13.12345 × 8 + 5 =
  14. 14.37 × 6 =
  15. 15.37 × 18 =
  16. 16.111 × 111 =
  17. 17.12345679 × 27 =
  18. 18.111111 × 111111 =
  19. 19.37 × 12 =
  20. 20.123 × 8 + 3 =
  21. 21.37 × 15 =
  22. 22.1234567 × 9 + 8 =
  23. 23.12 × 8 + 2 =
  24. 24.11 × 11 =
  25. 25.12345679 × 18 =
  26. 26.12345679 × 81 =
  27. 27.12345679 × 36 =
  28. 28.37 × 21 =
  29. 29.37 × 24 =
  30. 30.12345679 × 9 =
  31. 31.111111 × 111111 =
  32. 32.12345678 × 8 + 8 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 27 =
  35. 35.12345678 × 9 + 9 =
  36. 36.123456789 × 8 + 9 =
  37. 37.11111 × 11111 =
  38. 38.1111 × 1111 =
  39. 39.12345679 × 63 =
  40. 40.111 × 111 =

Answer key

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

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