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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 19 · 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. 1.111 × 111 =
  2. 2.12345679 × 9 =
  3. 3.11111 × 11111 =
  4. 4.12345 × 8 + 5 =
  5. 5.1234 × 9 + 5 =
  6. 6.12345679 × 27 =
  7. 7.37 × 15 =
  8. 8.11 × 11 =
  9. 9.1111 × 1111 =
  10. 10.37 × 9 =
  11. 11.12345679 × 63 =
  12. 12.37 × 6 =
  13. 13.12 × 8 + 2 =
  14. 14.12345679 × 45 =
  15. 15.123456789 × 8 + 9 =
  16. 16.37 × 27 =
  17. 17.37 × 24 =
  18. 18.1234567 × 9 + 8 =
  19. 19.1234 × 8 + 4 =
  20. 20.12345678 × 9 + 9 =
  21. 21.12345679 × 18 =
  22. 22.37 × 21 =
  23. 23.12 × 9 + 3 =
  24. 24.123 × 8 + 3 =
  25. 25.12345679 × 36 =
  26. 26.123456 × 8 + 6 =
  27. 27.12345679 × 81 =
  28. 28.12345678 × 8 + 8 =
  29. 29.123 × 9 + 4 =
  30. 30.12345 × 9 + 6 =
  31. 31.37 × 3 =
  32. 32.123456789 × 8 + 9 =
  33. 33.123456 × 9 + 7 =
  34. 34.111111 × 111111 =
  35. 35.12345679 × 72 =
  36. 36.12 × 8 + 2 =
  37. 37.37 × 12 =
  38. 38.12345678 × 9 + 9 =
  39. 39.1234567 × 8 + 7 =
  40. 40.12345679 × 54 =

Answer key

  1. 12321
  2. 111111111
  3. 123454321
  4. 98765
  5. 11111
  6. 333333333
  7. 555
  8. 121
  9. 1234321
  10. 333
  11. 777777777
  12. 222
  13. 98
  14. 555555555
  15. 987654321
  16. 999
  17. 888
  18. 11111111
  19. 9876
  20. 111111111
  21. 222222222
  22. 777
  23. 111
  24. 987
  25. 444444444
  26. 987654
  27. 999999999
  28. 98765432
  29. 1111
  30. 111111
  31. 111
  32. 987654321
  33. 1111111
  34. 12345654321
  35. 888888888
  36. 98
  37. 444
  38. 111111111
  39. 9876543
  40. 666666666

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