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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 983 · 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. 1.37 × 27 =
  2. 2.1111 × 1111 =
  3. 3.12345679 × 81 =
  4. 4.111111 × 111111 =
  5. 5.37 × 18 =
  6. 6.37 × 15 =
  7. 7.123456789 × 8 + 9 =
  8. 8.111 × 111 =
  9. 9.37 × 21 =
  10. 10.123456 × 9 + 7 =
  11. 11.12 × 9 + 3 =
  12. 12.37 × 3 =
  13. 13.37 × 9 =
  14. 14.12345678 × 9 + 9 =
  15. 15.123 × 9 + 4 =
  16. 16.12345 × 9 + 6 =
  17. 17.12345678 × 8 + 8 =
  18. 18.123 × 8 + 3 =
  19. 19.12345679 × 27 =
  20. 20.1234 × 8 + 4 =
  21. 21.37 × 24 =
  22. 22.12345679 × 45 =
  23. 23.123456 × 8 + 6 =
  24. 24.37 × 12 =
  25. 25.1234567 × 8 + 7 =
  26. 26.11 × 11 =
  27. 27.1234 × 9 + 5 =
  28. 28.12345679 × 18 =
  29. 29.37 × 6 =
  30. 30.12 × 8 + 2 =
  31. 31.12345679 × 9 =
  32. 32.11111 × 11111 =
  33. 33.12345679 × 72 =
  34. 34.12345679 × 63 =
  35. 35.12345 × 8 + 5 =
  36. 36.1234567 × 9 + 8 =
  37. 37.37 × 27 =
  38. 38.1234 × 8 + 4 =
  39. 39.12345679 × 54 =
  40. 40.123456 × 8 + 6 =

Answer key

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

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