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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 753 · 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 × 3 =
  2. 2.12345679 × 18 =
  3. 3.37 × 24 =
  4. 4.37 × 21 =
  5. 5.37 × 15 =
  6. 6.12345679 × 36 =
  7. 7.1234 × 9 + 5 =
  8. 8.11 × 11 =
  9. 9.1111 × 1111 =
  10. 10.12345679 × 45 =
  11. 11.123 × 8 + 3 =
  12. 12.37 × 27 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345678 × 8 + 8 =
  15. 15.1234 × 8 + 4 =
  16. 16.37 × 18 =
  17. 17.123456 × 9 + 7 =
  18. 18.1234567 × 9 + 8 =
  19. 19.123 × 9 + 4 =
  20. 20.111 × 111 =
  21. 21.12 × 8 + 2 =
  22. 22.37 × 9 =
  23. 23.12345 × 8 + 5 =
  24. 24.12345679 × 54 =
  25. 25.12345679 × 27 =
  26. 26.11111 × 11111 =
  27. 27.12345678 × 9 + 9 =
  28. 28.12345679 × 9 =
  29. 29.12 × 9 + 3 =
  30. 30.1234567 × 8 + 7 =
  31. 31.111111 × 111111 =
  32. 32.12345679 × 81 =
  33. 33.37 × 6 =
  34. 34.37 × 12 =
  35. 35.123456789 × 8 + 9 =
  36. 36.12345679 × 63 =
  37. 37.12345 × 9 + 6 =
  38. 38.37 × 24 =
  39. 39.12345679 × 72 =
  40. 40.111 × 111 =

Answer key

  1. 111
  2. 222222222
  3. 888
  4. 777
  5. 555
  6. 444444444
  7. 11111
  8. 121
  9. 1234321
  10. 555555555
  11. 987
  12. 999
  13. 987654
  14. 98765432
  15. 9876
  16. 666
  17. 1111111
  18. 11111111
  19. 1111
  20. 12321
  21. 98
  22. 333
  23. 98765
  24. 666666666
  25. 333333333
  26. 123454321
  27. 111111111
  28. 111111111
  29. 111
  30. 9876543
  31. 12345654321
  32. 999999999
  33. 222
  34. 444
  35. 987654321
  36. 777777777
  37. 111111
  38. 888
  39. 888888888
  40. 12321

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