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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 641 · 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 × 21 =
  2. 2.123 × 9 + 4 =
  3. 3.1111 × 1111 =
  4. 4.12345679 × 36 =
  5. 5.37 × 15 =
  6. 6.111 × 111 =
  7. 7.12 × 9 + 3 =
  8. 8.123 × 8 + 3 =
  9. 9.11111 × 11111 =
  10. 10.11 × 11 =
  11. 11.12345 × 9 + 6 =
  12. 12.12345679 × 18 =
  13. 13.37 × 6 =
  14. 14.12345678 × 9 + 9 =
  15. 15.37 × 3 =
  16. 16.1234567 × 8 + 7 =
  17. 17.111111 × 111111 =
  18. 18.12345679 × 27 =
  19. 19.123456789 × 8 + 9 =
  20. 20.12345 × 8 + 5 =
  21. 21.12345679 × 45 =
  22. 22.12345679 × 54 =
  23. 23.12345679 × 9 =
  24. 24.123456 × 8 + 6 =
  25. 25.1234567 × 9 + 8 =
  26. 26.1234 × 9 + 5 =
  27. 27.12 × 8 + 2 =
  28. 28.12345679 × 63 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345679 × 72 =
  31. 31.37 × 27 =
  32. 32.12345679 × 81 =
  33. 33.37 × 18 =
  34. 34.12345 × 8 + 5 =
  35. 35.12345678 × 8 + 8 =
  36. 36.12345678 × 9 + 9 =
  37. 37.37 × 6 =
  38. 38.37 × 24 =
  39. 39.12345678 × 9 + 9 =
  40. 40.123456 × 9 + 7 =

Answer key

  1. 777
  2. 1111
  3. 1234321
  4. 444444444
  5. 555
  6. 12321
  7. 111
  8. 987
  9. 123454321
  10. 121
  11. 111111
  12. 222222222
  13. 222
  14. 111111111
  15. 111
  16. 9876543
  17. 12345654321
  18. 333333333
  19. 987654321
  20. 98765
  21. 555555555
  22. 666666666
  23. 111111111
  24. 987654
  25. 11111111
  26. 11111
  27. 98
  28. 777777777
  29. 9876
  30. 888888888
  31. 999
  32. 999999999
  33. 666
  34. 98765
  35. 98765432
  36. 111111111
  37. 222
  38. 888
  39. 111111111
  40. 1111111

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