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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 764 · 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. 1.37 × 15 =
  2. 2.12345679 × 45 =
  3. 3.1111 × 1111 =
  4. 4.123456 × 9 + 7 =
  5. 5.11111 × 11111 =
  6. 6.111111 × 111111 =
  7. 7.1234 × 8 + 4 =
  8. 8.12345679 × 81 =
  9. 9.12345679 × 18 =
  10. 10.12345 × 8 + 5 =
  11. 11.37 × 27 =
  12. 12.37 × 21 =
  13. 13.12345679 × 27 =
  14. 14.111 × 111 =
  15. 15.37 × 18 =
  16. 16.123456 × 8 + 6 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12345679 × 54 =
  19. 19.12345679 × 9 =
  20. 20.37 × 9 =
  21. 21.12345 × 9 + 6 =
  22. 22.1234567 × 9 + 8 =
  23. 23.37 × 24 =
  24. 24.1234 × 9 + 5 =
  25. 25.11 × 11 =
  26. 26.37 × 6 =
  27. 27.123 × 9 + 4 =
  28. 28.12 × 9 + 3 =
  29. 29.37 × 3 =
  30. 30.123 × 8 + 3 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12345679 × 63 =
  33. 33.37 × 3 =
  34. 34.37 × 12 =
  35. 35.12345679 × 72 =
  36. 36.11 × 11 =
  37. 37.12 × 8 + 2 =
  38. 38.37 × 18 =
  39. 39.12345679 × 72 =
  40. 40.12345679 × 36 =

Answer key

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

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