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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 514 · 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 × 72 =
  2. 2.11 × 11 =
  3. 3.123 × 8 + 3 =
  4. 4.1234 × 8 + 4 =
  5. 5.12345679 × 18 =
  6. 6.111 × 111 =
  7. 7.111111 × 111111 =
  8. 8.123 × 9 + 4 =
  9. 9.123456 × 9 + 7 =
  10. 10.37 × 6 =
  11. 11.37 × 3 =
  12. 12.12345679 × 63 =
  13. 13.1111 × 1111 =
  14. 14.12345679 × 45 =
  15. 15.11111 × 11111 =
  16. 16.12345678 × 9 + 9 =
  17. 17.37 × 12 =
  18. 18.12345 × 9 + 6 =
  19. 19.12 × 9 + 3 =
  20. 20.123456789 × 8 + 9 =
  21. 21.12345679 × 81 =
  22. 22.12345679 × 27 =
  23. 23.1234 × 9 + 5 =
  24. 24.37 × 18 =
  25. 25.12345 × 8 + 5 =
  26. 26.12345679 × 54 =
  27. 27.37 × 21 =
  28. 28.37 × 9 =
  29. 29.12345678 × 9 + 9 =
  30. 30.37 × 15 =
  31. 31.12 × 8 + 2 =
  32. 32.12345678 × 8 + 8 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345679 × 36 =
  35. 35.12345679 × 9 =
  36. 36.37 × 27 =
  37. 37.12345679 × 9 =
  38. 38.37 × 24 =
  39. 39.11 × 11 =
  40. 40.12345679 × 9 =

Answer key

  1. 888888888
  2. 121
  3. 987
  4. 9876
  5. 222222222
  6. 12321
  7. 12345654321
  8. 1111
  9. 1111111
  10. 222
  11. 111
  12. 777777777
  13. 1234321
  14. 555555555
  15. 123454321
  16. 111111111
  17. 444
  18. 111111
  19. 111
  20. 987654321
  21. 999999999
  22. 333333333
  23. 11111
  24. 666
  25. 98765
  26. 666666666
  27. 777
  28. 333
  29. 111111111
  30. 555
  31. 98
  32. 98765432
  33. 9876543
  34. 444444444
  35. 111111111
  36. 999
  37. 111111111
  38. 888
  39. 121
  40. 111111111

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