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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 47 · 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. 1.1111 × 1111 =
  2. 2.1234 × 9 + 5 =
  3. 3.11111 × 11111 =
  4. 4.37 × 9 =
  5. 5.12345679 × 63 =
  6. 6.123456 × 9 + 7 =
  7. 7.37 × 24 =
  8. 8.12345679 × 81 =
  9. 9.37 × 12 =
  10. 10.11 × 11 =
  11. 11.111 × 111 =
  12. 12.12345679 × 54 =
  13. 13.12345679 × 9 =
  14. 14.1234 × 8 + 4 =
  15. 15.12345679 × 36 =
  16. 16.12 × 8 + 2 =
  17. 17.37 × 21 =
  18. 18.37 × 18 =
  19. 19.123 × 9 + 4 =
  20. 20.123456 × 8 + 6 =
  21. 21.12345679 × 27 =
  22. 22.12345678 × 8 + 8 =
  23. 23.1234567 × 9 + 8 =
  24. 24.12345679 × 18 =
  25. 25.111111 × 111111 =
  26. 26.12345 × 9 + 6 =
  27. 27.12345679 × 45 =
  28. 28.37 × 27 =
  29. 29.12345678 × 9 + 9 =
  30. 30.37 × 15 =
  31. 31.12 × 9 + 3 =
  32. 32.123456789 × 8 + 9 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345679 × 72 =
  35. 35.123 × 9 + 4 =
  36. 36.37 × 3 =
  37. 37.37 × 24 =
  38. 38.37 × 6 =
  39. 39.12345679 × 63 =
  40. 40.12345679 × 36 =

Answer key

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

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