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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 336 · 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 × 18 =
  2. 2.123 × 9 + 4 =
  3. 3.12345679 × 27 =
  4. 4.12 × 8 + 2 =
  5. 5.123456 × 8 + 6 =
  6. 6.12345679 × 54 =
  7. 7.11111 × 11111 =
  8. 8.12345 × 8 + 5 =
  9. 9.1111 × 1111 =
  10. 10.12345679 × 72 =
  11. 11.37 × 12 =
  12. 12.37 × 6 =
  13. 13.37 × 21 =
  14. 14.12345679 × 81 =
  15. 15.37 × 27 =
  16. 16.1234 × 8 + 4 =
  17. 17.11 × 11 =
  18. 18.12345679 × 9 =
  19. 19.111 × 111 =
  20. 20.37 × 24 =
  21. 21.1234 × 9 + 5 =
  22. 22.37 × 3 =
  23. 23.12345679 × 63 =
  24. 24.37 × 18 =
  25. 25.12345679 × 45 =
  26. 26.123 × 8 + 3 =
  27. 27.12345 × 9 + 6 =
  28. 28.111111 × 111111 =
  29. 29.37 × 15 =
  30. 30.12 × 9 + 3 =
  31. 31.123456789 × 8 + 9 =
  32. 32.1234567 × 8 + 7 =
  33. 33.123456 × 9 + 7 =
  34. 34.1234567 × 9 + 8 =
  35. 35.37 × 9 =
  36. 36.12345679 × 36 =
  37. 37.12345679 × 9 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345679 × 45 =
  40. 40.12345679 × 9 =

Answer key

  1. 222222222
  2. 1111
  3. 333333333
  4. 98
  5. 987654
  6. 666666666
  7. 123454321
  8. 98765
  9. 1234321
  10. 888888888
  11. 444
  12. 222
  13. 777
  14. 999999999
  15. 999
  16. 9876
  17. 121
  18. 111111111
  19. 12321
  20. 888
  21. 11111
  22. 111
  23. 777777777
  24. 666
  25. 555555555
  26. 987
  27. 111111
  28. 12345654321
  29. 555
  30. 111
  31. 987654321
  32. 9876543
  33. 1111111
  34. 11111111
  35. 333
  36. 444444444
  37. 111111111
  38. 9876543
  39. 555555555
  40. 111111111

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