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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 917 · 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. 1.123456 × 8 + 6 =
  2. 2.37 × 21 =
  3. 3.12345679 × 81 =
  4. 4.37 × 6 =
  5. 5.12 × 8 + 2 =
  6. 6.37 × 27 =
  7. 7.12345679 × 18 =
  8. 8.1234567 × 9 + 8 =
  9. 9.111 × 111 =
  10. 10.12345 × 9 + 6 =
  11. 11.12345 × 8 + 5 =
  12. 12.111111 × 111111 =
  13. 13.37 × 9 =
  14. 14.12345678 × 8 + 8 =
  15. 15.37 × 15 =
  16. 16.123 × 9 + 4 =
  17. 17.1111 × 1111 =
  18. 18.12345679 × 9 =
  19. 19.12345679 × 63 =
  20. 20.123 × 8 + 3 =
  21. 21.12345679 × 72 =
  22. 22.12345679 × 54 =
  23. 23.12345679 × 27 =
  24. 24.123456789 × 8 + 9 =
  25. 25.1234567 × 8 + 7 =
  26. 26.37 × 24 =
  27. 27.11 × 11 =
  28. 28.37 × 12 =
  29. 29.12 × 9 + 3 =
  30. 30.37 × 3 =
  31. 31.12345678 × 9 + 9 =
  32. 32.12345679 × 36 =
  33. 33.1234 × 8 + 4 =
  34. 34.123456 × 8 + 6 =
  35. 35.12345679 × 27 =
  36. 36.12345679 × 45 =
  37. 37.12345679 × 45 =
  38. 38.1234 × 9 + 5 =
  39. 39.12345679 × 54 =
  40. 40.11111 × 11111 =

Answer key

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

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