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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 801 · 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 × 81 =
  2. 2.12345 × 9 + 6 =
  3. 3.37 × 6 =
  4. 4.12345679 × 63 =
  5. 5.37 × 27 =
  6. 6.123456789 × 8 + 9 =
  7. 7.37 × 9 =
  8. 8.1111 × 1111 =
  9. 9.123 × 9 + 4 =
  10. 10.111111 × 111111 =
  11. 11.12345679 × 27 =
  12. 12.12345679 × 45 =
  13. 13.12345679 × 36 =
  14. 14.123456 × 9 + 7 =
  15. 15.12345679 × 18 =
  16. 16.11 × 11 =
  17. 17.37 × 3 =
  18. 18.37 × 12 =
  19. 19.12345679 × 54 =
  20. 20.1234567 × 8 + 7 =
  21. 21.12345679 × 9 =
  22. 22.11111 × 11111 =
  23. 23.37 × 24 =
  24. 24.12345678 × 9 + 9 =
  25. 25.123456 × 8 + 6 =
  26. 26.37 × 18 =
  27. 27.12345679 × 72 =
  28. 28.12345 × 8 + 5 =
  29. 29.12 × 8 + 2 =
  30. 30.111 × 111 =
  31. 31.37 × 21 =
  32. 32.1234 × 8 + 4 =
  33. 33.1234 × 9 + 5 =
  34. 34.37 × 15 =
  35. 35.123 × 8 + 3 =
  36. 36.12345678 × 9 + 9 =
  37. 37.1234567 × 9 + 8 =
  38. 38.12 × 9 + 3 =
  39. 39.11 × 11 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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