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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 121 · 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. 1.12 × 8 + 2 =
  2. 2.12 × 9 + 3 =
  3. 3.1111 × 1111 =
  4. 4.123456 × 9 + 7 =
  5. 5.12345 × 8 + 5 =
  6. 6.123456789 × 8 + 9 =
  7. 7.1234 × 8 + 4 =
  8. 8.37 × 24 =
  9. 9.12345679 × 81 =
  10. 10.123 × 8 + 3 =
  11. 11.12345678 × 8 + 8 =
  12. 12.1234567 × 8 + 7 =
  13. 13.37 × 9 =
  14. 14.12345 × 9 + 6 =
  15. 15.12345678 × 9 + 9 =
  16. 16.12345679 × 18 =
  17. 17.111 × 111 =
  18. 18.12345679 × 72 =
  19. 19.12345679 × 9 =
  20. 20.12345679 × 63 =
  21. 21.111111 × 111111 =
  22. 22.12345679 × 45 =
  23. 23.37 × 3 =
  24. 24.37 × 21 =
  25. 25.12345679 × 54 =
  26. 26.37 × 18 =
  27. 27.123456 × 8 + 6 =
  28. 28.37 × 6 =
  29. 29.37 × 27 =
  30. 30.12345679 × 54 =
  31. 31.11 × 11 =
  32. 32.12345679 × 45 =
  33. 33.12345679 × 27 =
  34. 34.123 × 9 + 4 =
  35. 35.12345679 × 27 =
  36. 36.12345679 × 36 =
  37. 37.37 × 12 =
  38. 38.123 × 8 + 3 =
  39. 39.11111 × 11111 =
  40. 40.111 × 111 =

Answer key

  1. 98
  2. 111
  3. 1234321
  4. 1111111
  5. 98765
  6. 987654321
  7. 9876
  8. 888
  9. 999999999
  10. 987
  11. 98765432
  12. 9876543
  13. 333
  14. 111111
  15. 111111111
  16. 222222222
  17. 12321
  18. 888888888
  19. 111111111
  20. 777777777
  21. 12345654321
  22. 555555555
  23. 111
  24. 777
  25. 666666666
  26. 666
  27. 987654
  28. 222
  29. 999
  30. 666666666
  31. 121
  32. 555555555
  33. 333333333
  34. 1111
  35. 333333333
  36. 444444444
  37. 444
  38. 987
  39. 123454321
  40. 12321

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