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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 439 · 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. 1.1234 × 9 + 5 =
  2. 2.111111 × 111111 =
  3. 3.1234567 × 9 + 8 =
  4. 4.1234567 × 8 + 7 =
  5. 5.12345679 × 72 =
  6. 6.123456 × 8 + 6 =
  7. 7.11 × 11 =
  8. 8.11111 × 11111 =
  9. 9.12345 × 9 + 6 =
  10. 10.123 × 8 + 3 =
  11. 11.37 × 18 =
  12. 12.12345678 × 9 + 9 =
  13. 13.37 × 24 =
  14. 14.111 × 111 =
  15. 15.37 × 12 =
  16. 16.12345679 × 18 =
  17. 17.12345 × 8 + 5 =
  18. 18.37 × 6 =
  19. 19.12345679 × 45 =
  20. 20.123456 × 9 + 7 =
  21. 21.1234 × 8 + 4 =
  22. 22.123456789 × 8 + 9 =
  23. 23.12345679 × 9 =
  24. 24.1111 × 1111 =
  25. 25.12345679 × 36 =
  26. 26.37 × 27 =
  27. 27.37 × 15 =
  28. 28.37 × 21 =
  29. 29.123 × 9 + 4 =
  30. 30.12 × 8 + 2 =
  31. 31.12 × 9 + 3 =
  32. 32.37 × 9 =
  33. 33.37 × 3 =
  34. 34.12345679 × 63 =
  35. 35.12345 × 9 + 6 =
  36. 36.12345679 × 27 =
  37. 37.12345679 × 54 =
  38. 38.12345679 × 81 =
  39. 39.12345679 × 9 =
  40. 40.12 × 9 + 3 =

Answer key

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

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