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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 254 · 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. 1.11111 × 11111 =
  2. 2.123 × 9 + 4 =
  3. 3.12 × 8 + 2 =
  4. 4.111 × 111 =
  5. 5.123456 × 8 + 6 =
  6. 6.37 × 21 =
  7. 7.12345679 × 9 =
  8. 8.1234 × 8 + 4 =
  9. 9.12345679 × 27 =
  10. 10.12345679 × 54 =
  11. 11.1234 × 9 + 5 =
  12. 12.123 × 8 + 3 =
  13. 13.12345679 × 18 =
  14. 14.37 × 18 =
  15. 15.37 × 9 =
  16. 16.111111 × 111111 =
  17. 17.12345 × 9 + 6 =
  18. 18.12345678 × 9 + 9 =
  19. 19.1234567 × 8 + 7 =
  20. 20.12345679 × 36 =
  21. 21.12345679 × 72 =
  22. 22.12345 × 8 + 5 =
  23. 23.12345679 × 63 =
  24. 24.37 × 24 =
  25. 25.37 × 12 =
  26. 26.1234567 × 9 + 8 =
  27. 27.11 × 11 =
  28. 28.37 × 27 =
  29. 29.12345678 × 8 + 8 =
  30. 30.1111 × 1111 =
  31. 31.12 × 9 + 3 =
  32. 32.37 × 6 =
  33. 33.37 × 15 =
  34. 34.123456789 × 8 + 9 =
  35. 35.37 × 3 =
  36. 36.12345679 × 18 =
  37. 37.1234567 × 8 + 7 =
  38. 38.12345679 × 81 =
  39. 39.12345679 × 45 =
  40. 40.1234567 × 9 + 8 =

Answer key

  1. 123454321
  2. 1111
  3. 98
  4. 12321
  5. 987654
  6. 777
  7. 111111111
  8. 9876
  9. 333333333
  10. 666666666
  11. 11111
  12. 987
  13. 222222222
  14. 666
  15. 333
  16. 12345654321
  17. 111111
  18. 111111111
  19. 9876543
  20. 444444444
  21. 888888888
  22. 98765
  23. 777777777
  24. 888
  25. 444
  26. 11111111
  27. 121
  28. 999
  29. 98765432
  30. 1234321
  31. 111
  32. 222
  33. 555
  34. 987654321
  35. 111
  36. 222222222
  37. 9876543
  38. 999999999
  39. 555555555
  40. 11111111

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