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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 880 · 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 × 3 =
  2. 2.37 × 15 =
  3. 3.37 × 24 =
  4. 4.1234 × 8 + 4 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 27 =
  7. 7.123456 × 9 + 7 =
  8. 8.12345679 × 9 =
  9. 9.37 × 27 =
  10. 10.37 × 21 =
  11. 11.37 × 9 =
  12. 12.12345679 × 45 =
  13. 13.12 × 8 + 2 =
  14. 14.37 × 18 =
  15. 15.37 × 6 =
  16. 16.123 × 8 + 3 =
  17. 17.123 × 9 + 4 =
  18. 18.12345 × 8 + 5 =
  19. 19.1234567 × 9 + 8 =
  20. 20.1111 × 1111 =
  21. 21.12345679 × 63 =
  22. 22.123456789 × 8 + 9 =
  23. 23.11 × 11 =
  24. 24.12345679 × 72 =
  25. 25.37 × 12 =
  26. 26.12345679 × 54 =
  27. 27.12345678 × 8 + 8 =
  28. 28.11111 × 11111 =
  29. 29.12 × 9 + 3 =
  30. 30.1234 × 9 + 5 =
  31. 31.111 × 111 =
  32. 32.123456 × 8 + 6 =
  33. 33.12345678 × 9 + 9 =
  34. 34.12345679 × 81 =
  35. 35.12345679 × 54 =
  36. 36.1234 × 9 + 5 =
  37. 37.37 × 6 =
  38. 38.12345679 × 18 =
  39. 39.37 × 27 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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