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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 58 · 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. 1.12345679 × 54 =
  2. 2.123456 × 9 + 7 =
  3. 3.111 × 111 =
  4. 4.111111 × 111111 =
  5. 5.37 × 27 =
  6. 6.12345679 × 72 =
  7. 7.11 × 11 =
  8. 8.37 × 12 =
  9. 9.12 × 9 + 3 =
  10. 10.12345678 × 8 + 8 =
  11. 11.12345679 × 63 =
  12. 12.37 × 18 =
  13. 13.37 × 15 =
  14. 14.12345679 × 18 =
  15. 15.12 × 8 + 2 =
  16. 16.123456 × 8 + 6 =
  17. 17.1234567 × 9 + 8 =
  18. 18.123 × 9 + 4 =
  19. 19.12345 × 9 + 6 =
  20. 20.123456789 × 8 + 9 =
  21. 21.1234 × 9 + 5 =
  22. 22.1111 × 1111 =
  23. 23.12345679 × 9 =
  24. 24.37 × 24 =
  25. 25.12345679 × 36 =
  26. 26.1234567 × 8 + 7 =
  27. 27.1234 × 8 + 4 =
  28. 28.12345679 × 27 =
  29. 29.37 × 3 =
  30. 30.12345 × 8 + 5 =
  31. 31.12345678 × 9 + 9 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 21 =
  34. 34.12345679 × 45 =
  35. 35.37 × 9 =
  36. 36.11111 × 11111 =
  37. 37.12345679 × 81 =
  38. 38.37 × 6 =
  39. 39.1234567 × 9 + 8 =
  40. 40.37 × 3 =

Answer key

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

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