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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 507 · 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 × 36 =
  2. 2.11111 × 11111 =
  3. 3.37 × 12 =
  4. 4.37 × 3 =
  5. 5.1234 × 9 + 5 =
  6. 6.37 × 27 =
  7. 7.123 × 9 + 4 =
  8. 8.1234567 × 9 + 8 =
  9. 9.12345678 × 8 + 8 =
  10. 10.111 × 111 =
  11. 11.12 × 8 + 2 =
  12. 12.37 × 18 =
  13. 13.1234567 × 8 + 7 =
  14. 14.123456 × 9 + 7 =
  15. 15.12 × 9 + 3 =
  16. 16.12345679 × 72 =
  17. 17.37 × 9 =
  18. 18.12345679 × 27 =
  19. 19.37 × 6 =
  20. 20.12345679 × 9 =
  21. 21.12345 × 8 + 5 =
  22. 22.37 × 24 =
  23. 23.12345679 × 81 =
  24. 24.12345679 × 18 =
  25. 25.12345679 × 54 =
  26. 26.1111 × 1111 =
  27. 27.12345679 × 63 =
  28. 28.12345678 × 9 + 9 =
  29. 29.111111 × 111111 =
  30. 30.11 × 11 =
  31. 31.123456789 × 8 + 9 =
  32. 32.1234 × 8 + 4 =
  33. 33.37 × 3 =
  34. 34.123456 × 8 + 6 =
  35. 35.12345679 × 27 =
  36. 36.1234567 × 8 + 7 =
  37. 37.111 × 111 =
  38. 38.123 × 8 + 3 =
  39. 39.12345679 × 45 =
  40. 40.12345679 × 81 =

Answer key

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

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