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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 334 · 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. 1.12345679 × 45 =
  2. 2.12345679 × 27 =
  3. 3.12345678 × 9 + 9 =
  4. 4.12345679 × 63 =
  5. 5.111 × 111 =
  6. 6.37 × 9 =
  7. 7.12345679 × 54 =
  8. 8.12345679 × 9 =
  9. 9.37 × 6 =
  10. 10.11 × 11 =
  11. 11.1234567 × 9 + 8 =
  12. 12.123456 × 8 + 6 =
  13. 13.12345678 × 8 + 8 =
  14. 14.12345 × 9 + 6 =
  15. 15.37 × 24 =
  16. 16.1234 × 8 + 4 =
  17. 17.123 × 8 + 3 =
  18. 18.111111 × 111111 =
  19. 19.12345679 × 81 =
  20. 20.123 × 9 + 4 =
  21. 21.37 × 27 =
  22. 22.37 × 3 =
  23. 23.123456 × 9 + 7 =
  24. 24.11111 × 11111 =
  25. 25.12345679 × 72 =
  26. 26.37 × 18 =
  27. 27.12 × 8 + 2 =
  28. 28.1234 × 9 + 5 =
  29. 29.1234567 × 8 + 7 =
  30. 30.37 × 12 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12 × 9 + 3 =
  33. 33.1111 × 1111 =
  34. 34.11 × 11 =
  35. 35.12345679 × 36 =
  36. 36.12345679 × 18 =
  37. 37.12 × 9 + 3 =
  38. 38.12345679 × 36 =
  39. 39.123 × 9 + 4 =
  40. 40.1234567 × 9 + 8 =

Answer key

  1. 555555555
  2. 333333333
  3. 111111111
  4. 777777777
  5. 12321
  6. 333
  7. 666666666
  8. 111111111
  9. 222
  10. 121
  11. 11111111
  12. 987654
  13. 98765432
  14. 111111
  15. 888
  16. 9876
  17. 987
  18. 12345654321
  19. 999999999
  20. 1111
  21. 999
  22. 111
  23. 1111111
  24. 123454321
  25. 888888888
  26. 666
  27. 98
  28. 11111
  29. 9876543
  30. 444
  31. 987654321
  32. 111
  33. 1234321
  34. 121
  35. 444444444
  36. 222222222
  37. 111
  38. 444444444
  39. 1111
  40. 11111111

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