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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 587 · 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. 1.37 × 15 =
  2. 2.12345679 × 9 =
  3. 3.12345679 × 36 =
  4. 4.123 × 9 + 4 =
  5. 5.37 × 24 =
  6. 6.1111 × 1111 =
  7. 7.11111 × 11111 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 72 =
  10. 10.11 × 11 =
  11. 11.12345 × 9 + 6 =
  12. 12.37 × 3 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345679 × 27 =
  15. 15.111 × 111 =
  16. 16.37 × 18 =
  17. 17.37 × 9 =
  18. 18.12345679 × 54 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345679 × 45 =
  21. 21.1234567 × 9 + 8 =
  22. 22.1234 × 8 + 4 =
  23. 23.12345 × 8 + 5 =
  24. 24.123456 × 9 + 7 =
  25. 25.111111 × 111111 =
  26. 26.123 × 8 + 3 =
  27. 27.12345679 × 18 =
  28. 28.1234 × 9 + 5 =
  29. 29.37 × 6 =
  30. 30.12 × 8 + 2 =
  31. 31.12 × 9 + 3 =
  32. 32.37 × 21 =
  33. 33.12345679 × 36 =
  34. 34.37 × 27 =
  35. 35.12345679 × 9 =
  36. 36.12345679 × 27 =
  37. 37.37 × 12 =
  38. 38.12345679 × 9 =
  39. 39.12345679 × 81 =
  40. 40.12345679 × 63 =

Answer key

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

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