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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 352 · 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. 1.11 × 11 =
  2. 2.1234 × 9 + 5 =
  3. 3.123456789 × 8 + 9 =
  4. 4.37 × 15 =
  5. 5.12345 × 9 + 6 =
  6. 6.111111 × 111111 =
  7. 7.37 × 9 =
  8. 8.37 × 3 =
  9. 9.12 × 9 + 3 =
  10. 10.12345679 × 81 =
  11. 11.12345679 × 9 =
  12. 12.37 × 21 =
  13. 13.12345679 × 36 =
  14. 14.123 × 9 + 4 =
  15. 15.12345679 × 72 =
  16. 16.123456 × 8 + 6 =
  17. 17.12345679 × 63 =
  18. 18.12345679 × 54 =
  19. 19.123 × 8 + 3 =
  20. 20.1234567 × 8 + 7 =
  21. 21.123456 × 9 + 7 =
  22. 22.12345 × 8 + 5 =
  23. 23.111 × 111 =
  24. 24.12 × 8 + 2 =
  25. 25.1111 × 1111 =
  26. 26.11111 × 11111 =
  27. 27.12345679 × 18 =
  28. 28.37 × 18 =
  29. 29.37 × 6 =
  30. 30.12345679 × 27 =
  31. 31.12 × 9 + 3 =
  32. 32.12345678 × 9 + 9 =
  33. 33.12345679 × 45 =
  34. 34.1234567 × 9 + 8 =
  35. 35.37 × 9 =
  36. 36.37 × 24 =
  37. 37.1234 × 8 + 4 =
  38. 38.12345679 × 9 =
  39. 39.37 × 27 =
  40. 40.37 × 12 =

Answer key

  1. 121
  2. 11111
  3. 987654321
  4. 555
  5. 111111
  6. 12345654321
  7. 333
  8. 111
  9. 111
  10. 999999999
  11. 111111111
  12. 777
  13. 444444444
  14. 1111
  15. 888888888
  16. 987654
  17. 777777777
  18. 666666666
  19. 987
  20. 9876543
  21. 1111111
  22. 98765
  23. 12321
  24. 98
  25. 1234321
  26. 123454321
  27. 222222222
  28. 666
  29. 222
  30. 333333333
  31. 111
  32. 111111111
  33. 555555555
  34. 11111111
  35. 333
  36. 888
  37. 9876
  38. 111111111
  39. 999
  40. 444

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