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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 256 · 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 × 21 =
  2. 2.37 × 15 =
  3. 3.12345679 × 9 =
  4. 4.11111 × 11111 =
  5. 5.11 × 11 =
  6. 6.12 × 8 + 2 =
  7. 7.37 × 6 =
  8. 8.12345679 × 81 =
  9. 9.123456 × 9 + 7 =
  10. 10.1234567 × 9 + 8 =
  11. 11.37 × 27 =
  12. 12.37 × 12 =
  13. 13.37 × 3 =
  14. 14.12345679 × 45 =
  15. 15.37 × 18 =
  16. 16.123456 × 8 + 6 =
  17. 17.111111 × 111111 =
  18. 18.12345679 × 18 =
  19. 19.1234 × 8 + 4 =
  20. 20.12345678 × 8 + 8 =
  21. 21.37 × 9 =
  22. 22.12345679 × 72 =
  23. 23.12345 × 9 + 6 =
  24. 24.12345679 × 27 =
  25. 25.1234567 × 8 + 7 =
  26. 26.12 × 9 + 3 =
  27. 27.1111 × 1111 =
  28. 28.111 × 111 =
  29. 29.1234 × 9 + 5 =
  30. 30.123456 × 9 + 7 =
  31. 31.123 × 9 + 4 =
  32. 32.12345679 × 54 =
  33. 33.12345 × 8 + 5 =
  34. 34.123456789 × 8 + 9 =
  35. 35.111111 × 111111 =
  36. 36.111 × 111 =
  37. 37.12345678 × 9 + 9 =
  38. 38.12345 × 8 + 5 =
  39. 39.12345678 × 8 + 8 =
  40. 40.37 × 24 =

Answer key

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

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