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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 504 · 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 × 36 =
  2. 2.37 × 6 =
  3. 3.37 × 3 =
  4. 4.37 × 27 =
  5. 5.123456 × 8 + 6 =
  6. 6.37 × 15 =
  7. 7.1111 × 1111 =
  8. 8.11111 × 11111 =
  9. 9.12345 × 8 + 5 =
  10. 10.37 × 21 =
  11. 11.11 × 11 =
  12. 12.1234567 × 8 + 7 =
  13. 13.12345679 × 27 =
  14. 14.111111 × 111111 =
  15. 15.12345679 × 81 =
  16. 16.12345 × 9 + 6 =
  17. 17.1234 × 8 + 4 =
  18. 18.12 × 9 + 3 =
  19. 19.37 × 12 =
  20. 20.37 × 24 =
  21. 21.37 × 9 =
  22. 22.12345679 × 9 =
  23. 23.12345679 × 18 =
  24. 24.123 × 8 + 3 =
  25. 25.1234567 × 9 + 8 =
  26. 26.12 × 8 + 2 =
  27. 27.123456 × 9 + 7 =
  28. 28.123456789 × 8 + 9 =
  29. 29.12345679 × 63 =
  30. 30.1234 × 9 + 5 =
  31. 31.12345679 × 45 =
  32. 32.12345679 × 72 =
  33. 33.111 × 111 =
  34. 34.12345678 × 8 + 8 =
  35. 35.123 × 9 + 4 =
  36. 36.12345679 × 54 =
  37. 37.37 × 24 =
  38. 38.1111 × 1111 =
  39. 39.12345679 × 72 =
  40. 40.11111 × 11111 =

Answer key

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

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