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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 821 · 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. 2.12345 × 9 + 6 =
  3. 3.1234567 × 8 + 7 =
  4. 4.12345679 × 45 =
  5. 5.12345679 × 63 =
  6. 6.37 × 6 =
  7. 7.12345679 × 36 =
  8. 8.37 × 9 =
  9. 9.37 × 24 =
  10. 10.123456789 × 8 + 9 =
  11. 11.111 × 111 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 18 =
  14. 14.11111 × 11111 =
  15. 15.12345678 × 8 + 8 =
  16. 16.1234 × 8 + 4 =
  17. 17.12 × 8 + 2 =
  18. 18.37 × 21 =
  19. 19.111111 × 111111 =
  20. 20.123 × 8 + 3 =
  21. 21.11 × 11 =
  22. 22.12345679 × 81 =
  23. 23.37 × 27 =
  24. 24.123 × 9 + 4 =
  25. 25.12345 × 8 + 5 =
  26. 26.37 × 18 =
  27. 27.123456 × 9 + 7 =
  28. 28.12 × 9 + 3 =
  29. 29.12345678 × 9 + 9 =
  30. 30.12345679 × 9 =
  31. 31.37 × 15 =
  32. 32.1234567 × 9 + 8 =
  33. 33.1234 × 9 + 5 =
  34. 34.12345679 × 72 =
  35. 35.1234567 × 8 + 7 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 12 =
  38. 38.111111 × 111111 =
  39. 39.111 × 111 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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