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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 70 · 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. 1.111 × 111 =
  2. 2.37 × 3 =
  3. 3.12345679 × 45 =
  4. 4.123 × 9 + 4 =
  5. 5.12345679 × 36 =
  6. 6.37 × 21 =
  7. 7.12345679 × 27 =
  8. 8.12345679 × 54 =
  9. 9.1234567 × 8 + 7 =
  10. 10.37 × 6 =
  11. 11.12345678 × 9 + 9 =
  12. 12.37 × 24 =
  13. 13.12345679 × 72 =
  14. 14.123456 × 9 + 7 =
  15. 15.1234567 × 9 + 8 =
  16. 16.1234 × 9 + 5 =
  17. 17.1111 × 1111 =
  18. 18.37 × 9 =
  19. 19.123456789 × 8 + 9 =
  20. 20.111111 × 111111 =
  21. 21.11 × 11 =
  22. 22.12345 × 9 + 6 =
  23. 23.12345679 × 18 =
  24. 24.12 × 8 + 2 =
  25. 25.123456 × 8 + 6 =
  26. 26.37 × 15 =
  27. 27.12345679 × 81 =
  28. 28.12345679 × 9 =
  29. 29.12345679 × 63 =
  30. 30.37 × 12 =
  31. 31.123 × 8 + 3 =
  32. 32.123 × 9 + 4 =
  33. 33.11111 × 11111 =
  34. 34.1234 × 8 + 4 =
  35. 35.123 × 9 + 4 =
  36. 36.12345 × 8 + 5 =
  37. 37.37 × 27 =
  38. 38.12 × 9 + 3 =
  39. 39.12 × 9 + 3 =
  40. 40.37 × 3 =

Answer key

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

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