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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 328 · 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 × 18 =
  2. 2.37 × 12 =
  3. 3.111 × 111 =
  4. 4.37 × 15 =
  5. 5.37 × 3 =
  6. 6.111111 × 111111 =
  7. 7.11111 × 11111 =
  8. 8.37 × 27 =
  9. 9.12345678 × 9 + 9 =
  10. 10.123456 × 8 + 6 =
  11. 11.12345679 × 72 =
  12. 12.12345679 × 18 =
  13. 13.1111 × 1111 =
  14. 14.37 × 6 =
  15. 15.12345679 × 9 =
  16. 16.12 × 9 + 3 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12345679 × 63 =
  19. 19.11 × 11 =
  20. 20.37 × 9 =
  21. 21.12345679 × 27 =
  22. 22.12345679 × 36 =
  23. 23.123 × 9 + 4 =
  24. 24.37 × 24 =
  25. 25.12345679 × 45 =
  26. 26.1234567 × 8 + 7 =
  27. 27.12 × 8 + 2 =
  28. 28.37 × 21 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345 × 9 + 6 =
  31. 31.1234 × 8 + 4 =
  32. 32.11 × 11 =
  33. 33.12345678 × 8 + 8 =
  34. 34.12345679 × 54 =
  35. 35.12345679 × 18 =
  36. 36.123 × 8 + 3 =
  37. 37.12345 × 8 + 5 =
  38. 38.1234567 × 9 + 8 =
  39. 39.111111 × 111111 =
  40. 40.12 × 9 + 3 =

Answer key

  1. 666
  2. 444
  3. 12321
  4. 555
  5. 111
  6. 12345654321
  7. 123454321
  8. 999
  9. 111111111
  10. 987654
  11. 888888888
  12. 222222222
  13. 1234321
  14. 222
  15. 111111111
  16. 111
  17. 987654321
  18. 777777777
  19. 121
  20. 333
  21. 333333333
  22. 444444444
  23. 1111
  24. 888
  25. 555555555
  26. 9876543
  27. 98
  28. 777
  29. 1111111
  30. 111111
  31. 9876
  32. 121
  33. 98765432
  34. 666666666
  35. 222222222
  36. 987
  37. 98765
  38. 11111111
  39. 12345654321
  40. 111

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