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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 830 · 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. 1.12345679 × 72 =
  2. 2.37 × 27 =
  3. 3.111111 × 111111 =
  4. 4.12345679 × 45 =
  5. 5.37 × 24 =
  6. 6.1234 × 8 + 4 =
  7. 7.37 × 9 =
  8. 8.37 × 15 =
  9. 9.37 × 12 =
  10. 10.12345678 × 9 + 9 =
  11. 11.1111 × 1111 =
  12. 12.12 × 9 + 3 =
  13. 13.12345679 × 9 =
  14. 14.1234567 × 8 + 7 =
  15. 15.12 × 8 + 2 =
  16. 16.37 × 3 =
  17. 17.12345679 × 27 =
  18. 18.123456789 × 8 + 9 =
  19. 19.12345679 × 63 =
  20. 20.123 × 9 + 4 =
  21. 21.123456 × 8 + 6 =
  22. 22.12345 × 8 + 5 =
  23. 23.11111 × 11111 =
  24. 24.11 × 11 =
  25. 25.123 × 8 + 3 =
  26. 26.12345679 × 54 =
  27. 27.12345 × 9 + 6 =
  28. 28.37 × 6 =
  29. 29.1234 × 9 + 5 =
  30. 30.1234567 × 9 + 8 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12345679 × 18 =
  33. 33.123456 × 9 + 7 =
  34. 34.12345679 × 81 =
  35. 35.111 × 111 =
  36. 36.12345679 × 36 =
  37. 37.37 × 18 =
  38. 38.1234 × 9 + 5 =
  39. 39.37 × 21 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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