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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 649 · 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 × 72 =
  2. 2.1234567 × 8 + 7 =
  3. 3.12345679 × 54 =
  4. 4.12345679 × 18 =
  5. 5.11111 × 11111 =
  6. 6.123 × 8 + 3 =
  7. 7.12 × 9 + 3 =
  8. 8.12345679 × 36 =
  9. 9.37 × 3 =
  10. 10.12345679 × 27 =
  11. 11.111 × 111 =
  12. 12.1234 × 8 + 4 =
  13. 13.37 × 21 =
  14. 14.1111 × 1111 =
  15. 15.11 × 11 =
  16. 16.12345 × 8 + 5 =
  17. 17.1234 × 9 + 5 =
  18. 18.123456 × 9 + 7 =
  19. 19.37 × 9 =
  20. 20.111111 × 111111 =
  21. 21.123456789 × 8 + 9 =
  22. 22.37 × 24 =
  23. 23.1234567 × 9 + 8 =
  24. 24.12345678 × 8 + 8 =
  25. 25.37 × 18 =
  26. 26.12345679 × 45 =
  27. 27.123456 × 8 + 6 =
  28. 28.12345679 × 81 =
  29. 29.12 × 8 + 2 =
  30. 30.123456 × 8 + 6 =
  31. 31.12345679 × 63 =
  32. 32.37 × 6 =
  33. 33.12345678 × 9 + 9 =
  34. 34.111 × 111 =
  35. 35.37 × 12 =
  36. 36.37 × 15 =
  37. 37.12345679 × 72 =
  38. 38.12345679 × 9 =
  39. 39.37 × 24 =
  40. 40.37 × 24 =

Answer key

  1. 888888888
  2. 9876543
  3. 666666666
  4. 222222222
  5. 123454321
  6. 987
  7. 111
  8. 444444444
  9. 111
  10. 333333333
  11. 12321
  12. 9876
  13. 777
  14. 1234321
  15. 121
  16. 98765
  17. 11111
  18. 1111111
  19. 333
  20. 12345654321
  21. 987654321
  22. 888
  23. 11111111
  24. 98765432
  25. 666
  26. 555555555
  27. 987654
  28. 999999999
  29. 98
  30. 987654
  31. 777777777
  32. 222
  33. 111111111
  34. 12321
  35. 444
  36. 555
  37. 888888888
  38. 111111111
  39. 888
  40. 888

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