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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 924 · 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. 1.1234 × 9 + 5 =
  2. 2.12 × 8 + 2 =
  3. 3.37 × 15 =
  4. 4.123456789 × 8 + 9 =
  5. 5.37 × 12 =
  6. 6.37 × 27 =
  7. 7.12345679 × 36 =
  8. 8.12345678 × 9 + 9 =
  9. 9.12345679 × 54 =
  10. 10.123 × 8 + 3 =
  11. 11.1234567 × 9 + 8 =
  12. 12.12345679 × 45 =
  13. 13.12345679 × 63 =
  14. 14.12345678 × 8 + 8 =
  15. 15.37 × 24 =
  16. 16.123 × 9 + 4 =
  17. 17.11 × 11 =
  18. 18.1111 × 1111 =
  19. 19.12345 × 9 + 6 =
  20. 20.12345679 × 18 =
  21. 21.12345679 × 27 =
  22. 22.111 × 111 =
  23. 23.37 × 3 =
  24. 24.12345679 × 72 =
  25. 25.11111 × 11111 =
  26. 26.12345679 × 81 =
  27. 27.1234 × 8 + 4 =
  28. 28.37 × 21 =
  29. 29.1234567 × 8 + 7 =
  30. 30.37 × 18 =
  31. 31.37 × 9 =
  32. 32.12 × 9 + 3 =
  33. 33.11111 × 11111 =
  34. 34.12345679 × 9 =
  35. 35.123456 × 9 + 7 =
  36. 36.123456 × 8 + 6 =
  37. 37.111111 × 111111 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345 × 8 + 5 =
  40. 40.111111 × 111111 =

Answer key

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

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