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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 941 · 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 × 9 =
  2. 2.12 × 9 + 3 =
  3. 3.37 × 27 =
  4. 4.12345678 × 8 + 8 =
  5. 5.37 × 24 =
  6. 6.12345679 × 72 =
  7. 7.12345679 × 9 =
  8. 8.12345679 × 18 =
  9. 9.12345678 × 9 + 9 =
  10. 10.37 × 21 =
  11. 11.111 × 111 =
  12. 12.37 × 12 =
  13. 13.12345679 × 54 =
  14. 14.123456 × 8 + 6 =
  15. 15.111111 × 111111 =
  16. 16.11111 × 11111 =
  17. 17.12345 × 9 + 6 =
  18. 18.11 × 11 =
  19. 19.1234567 × 8 + 7 =
  20. 20.1234 × 9 + 5 =
  21. 21.123 × 9 + 4 =
  22. 22.37 × 18 =
  23. 23.37 × 3 =
  24. 24.123 × 8 + 3 =
  25. 25.123456789 × 8 + 9 =
  26. 26.123456 × 9 + 7 =
  27. 27.12 × 8 + 2 =
  28. 28.12345 × 8 + 5 =
  29. 29.12345679 × 27 =
  30. 30.12345679 × 36 =
  31. 31.12345679 × 45 =
  32. 32.1234 × 8 + 4 =
  33. 33.12345679 × 63 =
  34. 34.37 × 15 =
  35. 35.1111 × 1111 =
  36. 36.1234567 × 9 + 8 =
  37. 37.123 × 8 + 3 =
  38. 38.37 × 27 =
  39. 39.12345679 × 81 =
  40. 40.12 × 8 + 2 =

Answer key

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

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