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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 933 · 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. 2.37 × 18 =
  3. 3.123456789 × 8 + 9 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 27 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12345679 × 63 =
  8. 8.1234 × 8 + 4 =
  9. 9.12345679 × 18 =
  10. 10.37 × 9 =
  11. 11.12345 × 9 + 6 =
  12. 12.12345679 × 45 =
  13. 13.123456 × 8 + 6 =
  14. 14.12345679 × 72 =
  15. 15.1234567 × 8 + 7 =
  16. 16.1111 × 1111 =
  17. 17.111111 × 111111 =
  18. 18.12345 × 8 + 5 =
  19. 19.37 × 21 =
  20. 20.12 × 8 + 2 =
  21. 21.11 × 11 =
  22. 22.123 × 8 + 3 =
  23. 23.12345679 × 81 =
  24. 24.37 × 24 =
  25. 25.123456 × 9 + 7 =
  26. 26.12 × 9 + 3 =
  27. 27.111 × 111 =
  28. 28.123 × 9 + 4 =
  29. 29.12345678 × 9 + 9 =
  30. 30.1234 × 8 + 4 =
  31. 31.37 × 15 =
  32. 32.12345679 × 9 =
  33. 33.1234 × 9 + 5 =
  34. 34.12345679 × 54 =
  35. 35.37 × 6 =
  36. 36.37 × 12 =
  37. 37.37 × 3 =
  38. 38.12345678 × 8 + 8 =
  39. 39.12345679 × 36 =
  40. 40.12345679 × 18 =

Answer key

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

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