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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 150 · 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. 2.37 × 24 =
  3. 3.12345679 × 54 =
  4. 4.12345679 × 45 =
  5. 5.12345679 × 81 =
  6. 6.111111 × 111111 =
  7. 7.37 × 3 =
  8. 8.1234567 × 8 + 7 =
  9. 9.37 × 6 =
  10. 10.37 × 9 =
  11. 11.12 × 8 + 2 =
  12. 12.12345679 × 63 =
  13. 13.12 × 9 + 3 =
  14. 14.11111 × 11111 =
  15. 15.37 × 27 =
  16. 16.12345679 × 9 =
  17. 17.37 × 12 =
  18. 18.12345678 × 9 + 9 =
  19. 19.1234 × 9 + 5 =
  20. 20.12345679 × 18 =
  21. 21.1234567 × 9 + 8 =
  22. 22.37 × 21 =
  23. 23.1234 × 8 + 4 =
  24. 24.1111 × 1111 =
  25. 25.12345 × 9 + 6 =
  26. 26.123 × 9 + 4 =
  27. 27.12345679 × 27 =
  28. 28.123456 × 8 + 6 =
  29. 29.123456 × 9 + 7 =
  30. 30.12345 × 8 + 5 =
  31. 31.111 × 111 =
  32. 32.37 × 18 =
  33. 33.37 × 15 =
  34. 34.123 × 8 + 3 =
  35. 35.111 × 111 =
  36. 36.37 × 24 =
  37. 37.123456789 × 8 + 9 =
  38. 38.111111 × 111111 =
  39. 39.12345678 × 8 + 8 =
  40. 40.12345679 × 36 =

Answer key

  1. 121
  2. 888
  3. 666666666
  4. 555555555
  5. 999999999
  6. 12345654321
  7. 111
  8. 9876543
  9. 222
  10. 333
  11. 98
  12. 777777777
  13. 111
  14. 123454321
  15. 999
  16. 111111111
  17. 444
  18. 111111111
  19. 11111
  20. 222222222
  21. 11111111
  22. 777
  23. 9876
  24. 1234321
  25. 111111
  26. 1111
  27. 333333333
  28. 987654
  29. 1111111
  30. 98765
  31. 12321
  32. 666
  33. 555
  34. 987
  35. 12321
  36. 888
  37. 987654321
  38. 12345654321
  39. 98765432
  40. 444444444

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