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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 357 · 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. 2.1234 × 9 + 5 =
  3. 3.111 × 111 =
  4. 4.12345 × 9 + 6 =
  5. 5.37 × 24 =
  6. 6.12345679 × 27 =
  7. 7.12345679 × 36 =
  8. 8.37 × 6 =
  9. 9.1234 × 8 + 4 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12345679 × 81 =
  12. 12.37 × 27 =
  13. 13.12 × 9 + 3 =
  14. 14.37 × 21 =
  15. 15.37 × 18 =
  16. 16.37 × 3 =
  17. 17.37 × 12 =
  18. 18.123 × 8 + 3 =
  19. 19.12345679 × 63 =
  20. 20.11111 × 11111 =
  21. 21.12 × 8 + 2 =
  22. 22.11 × 11 =
  23. 23.12345678 × 8 + 8 =
  24. 24.111111 × 111111 =
  25. 25.123456 × 8 + 6 =
  26. 26.12345679 × 18 =
  27. 27.123456 × 9 + 7 =
  28. 28.123 × 9 + 4 =
  29. 29.37 × 15 =
  30. 30.1111 × 1111 =
  31. 31.12345679 × 9 =
  32. 32.37 × 9 =
  33. 33.12345679 × 72 =
  34. 34.12345679 × 45 =
  35. 35.11 × 11 =
  36. 36.123456789 × 8 + 9 =
  37. 37.12345679 × 18 =
  38. 38.1234567 × 9 + 8 =
  39. 39.11111 × 11111 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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