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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 842 · 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 × 54 =
  2. 2.12 × 9 + 3 =
  3. 3.123 × 9 + 4 =
  4. 4.37 × 15 =
  5. 5.37 × 24 =
  6. 6.11 × 11 =
  7. 7.12345678 × 8 + 8 =
  8. 8.111111 × 111111 =
  9. 9.1111 × 1111 =
  10. 10.12345 × 8 + 5 =
  11. 11.12345679 × 27 =
  12. 12.123456 × 8 + 6 =
  13. 13.111 × 111 =
  14. 14.37 × 9 =
  15. 15.12345679 × 63 =
  16. 16.12345 × 9 + 6 =
  17. 17.11111 × 11111 =
  18. 18.37 × 27 =
  19. 19.37 × 18 =
  20. 20.1234567 × 9 + 8 =
  21. 21.12345679 × 36 =
  22. 22.123456789 × 8 + 9 =
  23. 23.1234 × 8 + 4 =
  24. 24.37 × 12 =
  25. 25.123 × 8 + 3 =
  26. 26.12345678 × 9 + 9 =
  27. 27.12345679 × 18 =
  28. 28.1234567 × 8 + 7 =
  29. 29.12345679 × 45 =
  30. 30.12345679 × 81 =
  31. 31.1234 × 9 + 5 =
  32. 32.12345679 × 72 =
  33. 33.12345679 × 54 =
  34. 34.12345679 × 9 =
  35. 35.37 × 6 =
  36. 36.37 × 3 =
  37. 37.12345679 × 9 =
  38. 38.12345 × 9 + 6 =
  39. 39.37 × 21 =
  40. 40.12 × 8 + 2 =

Answer key

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

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