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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 985 · 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. 1.111111 × 111111 =
  2. 2.37 × 24 =
  3. 3.1234 × 8 + 4 =
  4. 4.37 × 27 =
  5. 5.12345679 × 45 =
  6. 6.37 × 21 =
  7. 7.12345679 × 81 =
  8. 8.123 × 9 + 4 =
  9. 9.12345679 × 18 =
  10. 10.37 × 6 =
  11. 11.111 × 111 =
  12. 12.12345 × 8 + 5 =
  13. 13.12345679 × 36 =
  14. 14.11111 × 11111 =
  15. 15.12 × 8 + 2 =
  16. 16.12345 × 9 + 6 =
  17. 17.37 × 15 =
  18. 18.123456789 × 8 + 9 =
  19. 19.12345679 × 72 =
  20. 20.12345678 × 9 + 9 =
  21. 21.123456 × 9 + 7 =
  22. 22.11 × 11 =
  23. 23.1234 × 9 + 5 =
  24. 24.1234567 × 8 + 7 =
  25. 25.1111 × 1111 =
  26. 26.123456 × 8 + 6 =
  27. 27.12 × 9 + 3 =
  28. 28.12345679 × 27 =
  29. 29.1234567 × 9 + 8 =
  30. 30.37 × 3 =
  31. 31.37 × 12 =
  32. 32.12345679 × 54 =
  33. 33.37 × 18 =
  34. 34.37 × 9 =
  35. 35.12345 × 8 + 5 =
  36. 36.12345679 × 9 =
  37. 37.12345678 × 8 + 8 =
  38. 38.1111 × 1111 =
  39. 39.37 × 3 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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