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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 462 · 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 × 45 =
  2. 2.1234567 × 8 + 7 =
  3. 3.12345679 × 27 =
  4. 4.12345 × 9 + 6 =
  5. 5.37 × 27 =
  6. 6.1111 × 1111 =
  7. 7.12345 × 8 + 5 =
  8. 8.1234 × 8 + 4 =
  9. 9.12 × 9 + 3 =
  10. 10.123 × 9 + 4 =
  11. 11.111 × 111 =
  12. 12.37 × 24 =
  13. 13.12345678 × 8 + 8 =
  14. 14.111111 × 111111 =
  15. 15.1234 × 9 + 5 =
  16. 16.11 × 11 =
  17. 17.37 × 3 =
  18. 18.12 × 8 + 2 =
  19. 19.37 × 9 =
  20. 20.123456789 × 8 + 9 =
  21. 21.11111 × 11111 =
  22. 22.12345678 × 9 + 9 =
  23. 23.12345679 × 54 =
  24. 24.12345679 × 18 =
  25. 25.12345679 × 63 =
  26. 26.12345679 × 81 =
  27. 27.37 × 21 =
  28. 28.12345679 × 9 =
  29. 29.37 × 12 =
  30. 30.37 × 18 =
  31. 31.123456 × 9 + 7 =
  32. 32.123 × 8 + 3 =
  33. 33.12345679 × 36 =
  34. 34.123456 × 8 + 6 =
  35. 35.12345678 × 8 + 8 =
  36. 36.12345679 × 72 =
  37. 37.37 × 6 =
  38. 38.1234567 × 9 + 8 =
  39. 39.111 × 111 =
  40. 40.37 × 9 =

Answer key

  1. 555555555
  2. 9876543
  3. 333333333
  4. 111111
  5. 999
  6. 1234321
  7. 98765
  8. 9876
  9. 111
  10. 1111
  11. 12321
  12. 888
  13. 98765432
  14. 12345654321
  15. 11111
  16. 121
  17. 111
  18. 98
  19. 333
  20. 987654321
  21. 123454321
  22. 111111111
  23. 666666666
  24. 222222222
  25. 777777777
  26. 999999999
  27. 777
  28. 111111111
  29. 444
  30. 666
  31. 1111111
  32. 987
  33. 444444444
  34. 987654
  35. 98765432
  36. 888888888
  37. 222
  38. 11111111
  39. 12321
  40. 333

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